Details

analyze164.0ms (1.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
0%	0%	99.9%	0.1%	0%	0%	0%	5
0%	0%	74.9%	0.1%	0%	25%	0%	6
8.3%	6.2%	68.6%	0.1%	0%	25%	0%	7
12.5%	9.4%	65.5%	0.1%	0%	25%	0%	8
28.1%	14%	35.9%	0.1%	12.5%	37.4%	0%	9
42.2%	21.1%	28.9%	0.1%	12.5%	37.4%	0%	10
49.2%	24.6%	25.4%	0.1%	12.5%	37.4%	0%	11
57.4%	28.7%	21.3%	0.1%	12.5%	37.4%	0%	12

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample1.7s (17.3%)

Results

1.7s	8255×	body	256	valid
4.0ms	39×	body	256	infinite
0.0ms	1×	body	512	valid

Bogosity

preprocess76.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

1452×	`rational_best_oopsla_all_46_json_45_simplify-72`
966×	`rational_best_oopsla_all_46_json_45_simplify-37`
876×	`rational_best_oopsla_all_46_json_45_simplify-10`
846×	`rational_best_oopsla_all_46_json_45_simplify-30`
816×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	140
1	58	140
2	168	140
3	545	140
4	2156	140
5	5745	140
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z)
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x)
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y)

Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(+.f64 y (-.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) z))
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z))
(-.f64 (+.f64 x (-.f64 y z)) (*.f64 (+.f64 y 1/2) (log.f64 y)))
(+.f64 (-.f64 x z) (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y))))
(-.f64 (+.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) x) z)
(+.f64 x (-.f64 (-.f64 y (*.f64 (+.f64 x 1/2) (log.f64 x))) z))
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (+.f64 x 1/2) (log.f64 x))))
(-.f64 (+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) y) x)
(-.f64 (+.f64 y (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y)))) x)
(+.f64 y (-.f64 (-.f64 z x) (*.f64 (+.f64 y 1/2) (log.f64 y))))
(+.f64 (-.f64 z (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y x))
(-.f64 (+.f64 y (-.f64 z x)) (*.f64 (+.f64 y 1/2) (log.f64 y)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 z 1/2) (log.f64 z))) z) y)
(+.f64 z (-.f64 (-.f64 x (*.f64 (+.f64 1/2 z) (log.f64 z))) y))
(+.f64 z (-.f64 (-.f64 x y) (*.f64 (+.f64 1/2 z) (log.f64 z))))

Compiler

Compiled 18 to 13 computations (27.8% saved)

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1126×	`rational_best_oopsla_all_46_json_45_simplify-49`
886×	`rational_best_oopsla_all_46_json_45_simplify-10`
848×	`rational_best_oopsla_all_46_json_45_simplify-30`
826×	`rational_best_oopsla_all_46_json_45_simplify-77`
770×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	22	35
2	57	35
3	183	35
4	724	35
5	3012	35
6	6241	35

Stop Event

1×	node limit

Counts

1 → 6

Calls

Call 1

Inputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)

Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(+.f64 y (-.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) z))
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) (-.f64 y z))
(-.f64 (-.f64 (+.f64 x y) z) (*.f64 (+.f64 y 1/2) (log.f64 y)))
(-.f64 (+.f64 x (-.f64 y z)) (*.f64 (+.f64 y 1/2) (log.f64 y)))
(+.f64 x (-.f64 (-.f64 y z) (*.f64 (+.f64 y 1/2) (log.f64 y))))

eval1.0ms (0%)

Compiler: Compiled 75 to 38 computations (49.3% saved)

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	6	1	7

Error

0.1b

Counts

7 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 (-.f64 (+.f64 x y) z) (*.f64 (+.f64 y 1/2) (log.f64 y)))

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (-.f64 (+.f64 x y) z) (*.f64 (+.f64 y 1/2) (log.f64 y)))
✓	0.1b	(*.f64 (+.f64 y 1/2) (log.f64 y))

Compiler

Compiled 38 to 16 computations (57.9% saved)

series17.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	y	@	0	(*.f64 (+.f64 y 1/2) (log.f64 y))
4.0ms	x	@	0	(-.f64 (-.f64 (+.f64 x y) z) (*.f64 (+.f64 y 1/2) (log.f64 y)))
3.0ms	y	@	-inf	(*.f64 (+.f64 y 1/2) (log.f64 y))
2.0ms	y	@	inf	(*.f64 (+.f64 y 1/2) (log.f64 y))
1.0ms	z	@	0	(-.f64 (-.f64 (+.f64 x y) z) (*.f64 (+.f64 y 1/2) (log.f64 y)))

rewrite106.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1064×	`rational_best_oopsla_all_46_json_45_simplify-7`
976×	`rational_best_oopsla_all_46_json_45_simplify-35`
792×	`rational_best_oopsla_all_46_json_45_simplify-36`
552×	`rational_best_oopsla_all_46_json_45_simplify-80`
542×	`rational_best_oopsla_all_46_json_45_simplify-93`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	78	52
2	233	52
3	1003	52
4	4968	52

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

Inputs
(*.f64 (+.f64 y 1/2) (log.f64 y))
(-.f64 (-.f64 (+.f64 x y) z) (*.f64 (+.f64 y 1/2) (log.f64 y)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (.f64 0 (/.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (.f64 (+.f64 y 1/2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (.f64 0 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (.f64 0 (.f64 (log.f64 y) (.f64 (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (.f64 0 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (+.f64 y 1/2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 y (log.f64 y)) (.f64 1/2 (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (.f64 (log.f64 y) (.f64 y (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 1/2 (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (.f64 (.f64 y (log.f64 y)) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 y) (.f64 y (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (.f64 1/2 (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 y) (.f64 y (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (.f64 (.f64 1/2 (log.f64 y)) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (.f64 (+.f64 y 1/2) (log.f64 y)))) (.f64 (+.f64 y 1/2) (log.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/2 (log.f64 y)) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))) (.f64 (log.f64 y) (.f64 y (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 y (log.f64 y)) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))) (.f64 1/2 (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (log.f64 y) (.f64 y (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))) (.f64 (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)) (.f64 1/2 (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)) (.f64 1/2 (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))))) (.f64 (.f64 (log.f64 y) (.f64 y (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 1/2 (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))) (.f64 (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)) (.f64 (log.f64 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(+.f64 y 1/2) (log.f64 y)) (.f64 (+.f64 y 1/2) (log.f64 y))) (.f64 1/2 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (.f64 (+.f64 y 1/2) (log.f64 y))) (.f64 1/2 (log.f64 y))) (.f64 (.f64 y (log.f64 y)) (/.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (.f64 (+.f64 y 1/2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (log.f64 y) (.f64 y (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (/.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (.f64 (+.f64 y 1/2) (log.f64 y)))) (.f64 (/.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (.f64 (+.f64 y 1/2) (log.f64 y))) (.f64 1/2 (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (/.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (.f64 (+.f64 y 1/2) (log.f64 y))) (.f64 1/2 (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))))) (.f64 (.f64 (log.f64 y) (.f64 y (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (/.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (.f64 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simplify150.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1120×	`rational_best_oopsla_all_46_json_45_simplify-72`
1024×	`rational_best_oopsla_all_46_json_45_simplify-49`
934×	`rational_best_oopsla_all_46_json_45_simplify-7`
856×	`rational_best_oopsla_all_46_json_45_simplify-89`
694×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	294	8378
1	1025	7792
2	4764	7760

Stop Event

1×	node limit

Counts

174 → 193

Calls

Call 1

Inputs
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(-.f64 (+.f64 y x) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 (+.f64 y x) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
x
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x
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(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
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(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))
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(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) z))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (+.f64 (*.f64 -1/2 (log.f64 (/.f64 1 y))) z))
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(*.f64 (log.f64 y) (+.f64 1/2 y))
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(-.f64 y (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))
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(+.f64 x (-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
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(.f64 (+.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 z (+.f64 y x))) (.f64 (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))) (/.f64 -1 (-.f64 y (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))))))
(.f64 (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))) (.f64 (+.f64 z (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (+.f64 y x))) (/.f64 -1 (-.f64 y (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))))))
(.f64 (+.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 z (+.f64 y x))) (-.f64 0 (.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (/.f64 1 (-.f64 y (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z)))))))
(.f64 (+.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 z (+.f64 y x))) (.f64 (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))) (/.f64 -1 (-.f64 y (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))))))
(.f64 (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))) (.f64 (+.f64 z (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (+.f64 y x))) (/.f64 -1 (-.f64 y (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))))))
(.f64 (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z)))) (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))))
(-.f64 y (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))
(.f64 (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z)))) (.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (/.f64 1 (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z)))))))
(-.f64 y (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))
(.f64 (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z)))) (.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (/.f64 (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z)))) (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z)))))))
(-.f64 y (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))
(.f64 (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z)))) (-.f64 (+.f64 y x) (+.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) z)))
(.f64 (/.f64 (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))) (+.f64 (.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))) (+.f64 y (-.f64 x z))))
(.f64 (+.f64 y (+.f64 (.f64 (log.f64 y) (neg.f64 (+.f64 1/2 y))) (-.f64 x z))) (/.f64 (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))))
(.f64 (/.f64 (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))) (+.f64 y (-.f64 x (+.f64 z (.f64 (log.f64 y) (+.f64 1/2 y))))))
(.f64 -1 (+.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 z (+.f64 y x))))
(+.f64 x (-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(.f64 -1 (.f64 (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z)))) (+.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 z (+.f64 y x)))))
(.f64 (/.f64 (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))) (+.f64 (.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))) (+.f64 y (-.f64 x z))))
(.f64 (+.f64 y (+.f64 (.f64 (log.f64 y) (neg.f64 (+.f64 1/2 y))) (-.f64 x z))) (/.f64 (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))))
(.f64 (/.f64 (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))) (+.f64 y (-.f64 x (+.f64 z (.f64 (log.f64 y) (+.f64 1/2 y))))))
(.f64 (.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (/.f64 1 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))))) (-.f64 y (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))))
(-.f64 y (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))
(.f64 (.f64 (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z)))) (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))))) (-.f64 y (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))))
(-.f64 y (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))
(.f64 (neg.f64 (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))))) (+.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 z (+.f64 y x))))
(.f64 (/.f64 (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))) (+.f64 (.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))) (+.f64 y (-.f64 x z))))
(.f64 (+.f64 y (+.f64 (.f64 (log.f64 y) (neg.f64 (+.f64 1/2 y))) (-.f64 x z))) (/.f64 (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))))
(.f64 (/.f64 (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))) (+.f64 y (-.f64 x (+.f64 z (.f64 (log.f64 y) (+.f64 1/2 y))))))
(/.f64 (-.f64 y (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) 1)
(-.f64 y (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))
(/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z)))))
(-.f64 y (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))
(/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (/.f64 (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z)))) (/.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (-.f64 y (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))))))
(-.f64 y (-.f64 (*.f64 (log.f64 y) (+.f64 1/2 y)) (-.f64 x z)))
(/.f64 (+.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 z (+.f64 y x))) -1)
(+.f64 x (-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(neg.f64 (+.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 z (+.f64 y x))))
(+.f64 x (-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(+.f64 y (-.f64 x (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))

eval70.0ms (0.7%)

Compiler: Compiled 5910 to 2907 computations (50.8% saved)

prune40.0ms (0.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	183	10	193
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	11	194

Error

0.1b

Counts

194 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))) y) (.f64 1/2 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))))))
✓	0.1b	(-.f64 (-.f64 (+.f64 x y) z) (*.f64 (+.f64 y 1/2) (log.f64 y)))
▶	0.1b	(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))
	17.1b	(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
▶	18.3b	(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
▶	41.2b	(-.f64 y (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))
	21.6b	(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
	0.2b	(.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (/.f64 1 (-.f64 y (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))))))
	41.2b	(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
▶	46.4b	(neg.f64 z)
	45.5b	x

Compiler

Compiled 343 to 231 computations (32.7% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))
✓	0.0b	(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x)
✓	0.0b	(-.f64 1 (log.f64 y))
✓	0.3b	(*.f64 (-.f64 1 (log.f64 y)) y)

Compiler

Compiled 53 to 28 computations (47.2% saved)

series99.0ms (1%)

Counts

4 → 52

Calls

21 calls:

Time	Variable		Point	Expression
79.0ms	y	@	0	(*.f64 (-.f64 1 (log.f64 y)) y)
12.0ms	y	@	-inf	(*.f64 (-.f64 1 (log.f64 y)) y)
5.0ms	y	@	inf	(*.f64 (-.f64 1 (log.f64 y)) y)
0.0ms	z	@	0	(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))
0.0ms	y	@	-inf	(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))

rewrite128.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1044×	`rational_best_oopsla_all_46_json_45_simplify-7`
968×	`rational_best_oopsla_all_46_json_45_simplify-36`
876×	`rational_best_oopsla_all_46_json_45_simplify-35`
580×	`rational_best_oopsla_all_46_json_45_simplify-80`
564×	`rational_best_oopsla_all_46_json_45_simplify-93`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	96
1	87	96
2	237	96
3	986	96
4	4972	96

Stop Event

1×	node limit

Counts

4 → 191

Calls

Call 1

Inputs
(*.f64 (-.f64 1 (log.f64 y)) y)
(-.f64 1 (log.f64 y))
(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x)
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))

Outputs
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simplify107.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1346×	`rational_best_oopsla_all_46_json_45_simplify-23`
1222×	`rational_best_oopsla_all_46_json_45_simplify-89`
1098×	`rational_best_oopsla_all_46_json_45_simplify-13`
1038×	`rational_best_oopsla_all_46_json_45_simplify-24`
996×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	385	10837
1	1474	10393

Stop Event

1×	node limit

Counts

243 → 266

Calls

Call 1

Inputs
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(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
(-.f64 1 (*.f64 -1 (log.f64 (/.f64 1 y))))
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x
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(*.f64 (-.f64 1 (log.f64 y)) y)
x
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(.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
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Outputs
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(+.f64 (neg.f64 z) (+.f64 (.f64 (.f64 (log.f64 y) 1/2) -1) (+.f64 x (-.f64 y (*.f64 y (log.f64 y))))))
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(.f64 (.f64 (-.f64 (-.f64 (.f64 (log.f64 y) -1/2) (-.f64 z x)) (-.f64 (.f64 y (log.f64 y)) y)) (/.f64 1 (-.f64 (-.f64 (.f64 (log.f64 y) -1/2) (-.f64 z x)) (-.f64 (.f64 y (log.f64 y)) y)))) (-.f64 (-.f64 (.f64 (log.f64 y) -1/2) (-.f64 z x)) (-.f64 (.f64 y (log.f64 y)) y)))
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(-.f64 (-.f64 x (-.f64 z (.f64 (log.f64 y) -1/2))) (-.f64 (.f64 y (log.f64 y)) y))
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(/.f64 (-.f64 (-.f64 (.f64 (log.f64 y) -1/2) (-.f64 z x)) (-.f64 (.f64 y (log.f64 y)) y)) 1)
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(-.f64 y (-.f64 (-.f64 z x) (-.f64 (.f64 (log.f64 y) -1/2) (.f64 y (log.f64 y)))))
(/.f64 (-.f64 (-.f64 (.f64 (log.f64 y) -1/2) (-.f64 z x)) (-.f64 (.f64 y (log.f64 y)) y)) (/.f64 (/.f64 (-.f64 (-.f64 (.f64 (log.f64 y) -1/2) (-.f64 z x)) (-.f64 (.f64 y (log.f64 y)) y)) (-.f64 (-.f64 (.f64 (log.f64 y) -1/2) (-.f64 z x)) (-.f64 (.f64 y (log.f64 y)) y))) (/.f64 (-.f64 (-.f64 (.f64 (log.f64 y) -1/2) (-.f64 z x)) (-.f64 (.f64 y (log.f64 y)) y)) (-.f64 (-.f64 (.f64 (log.f64 y) -1/2) (-.f64 z x)) (-.f64 (.f64 y (log.f64 y)) y)))))
(-.f64 (-.f64 x (-.f64 z (.f64 (log.f64 y) -1/2))) (-.f64 (.f64 y (log.f64 y)) y))
(-.f64 y (-.f64 (-.f64 z x) (-.f64 (.f64 (log.f64 y) -1/2) (.f64 y (log.f64 y)))))
(/.f64 (+.f64 (+.f64 (.f64 (log.f64 y) 1/2) z) (-.f64 (.f64 y (log.f64 y)) (+.f64 y x))) -1)
(+.f64 (neg.f64 z) (+.f64 (.f64 (.f64 (log.f64 y) 1/2) -1) (+.f64 x (-.f64 y (*.f64 y (log.f64 y))))))
(neg.f64 (+.f64 z (-.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y x))))
(neg.f64 (+.f64 (+.f64 (.f64 (log.f64 y) 1/2) z) (-.f64 (.f64 y (log.f64 y)) (+.f64 y x))))
(+.f64 (neg.f64 z) (+.f64 (.f64 (.f64 (log.f64 y) 1/2) -1) (+.f64 x (-.f64 y (*.f64 y (log.f64 y))))))
(neg.f64 (+.f64 z (-.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (+.f64 y x))))

localize3.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 y (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))
✓	0.3b	(*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y))

Compiler

Compiled 30 to 19 computations (36.7% saved)

series12.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	y	@	-inf	(*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y))
3.0ms	y	@	0	(*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y))
0.0ms	y	@	inf	(*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y))
0.0ms	y	@	-inf	(-.f64 y (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))
0.0ms	y	@	0	(-.f64 y (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`rational_best_oopsla_all_46_json-2`
1862×	`rational_best_oopsla_all_46_json-1`
1862×	`rational_best_oopsla_all_46_json-4`
1862×	`rational_best_oopsla_all_46_json-3`
1030×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	48
1	60	48
2	176	48
3	781	44
4	3738	44

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y))
(-.f64 y (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 y (log.f64 (/.f64 1 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 y (*.f64 (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (*.f64 0 (/.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (log.f64 (/.f64 1 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)) -1) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (/.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))))) (*.f64 (/.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (*.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (/.f64 1 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (*.f64 (/.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y))))) (/.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (*.f64 1 (*.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (/.f64 1 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (*.f64 (/.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y))))) (*.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (/.f64 1 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y))))))))))) (#(struct:change #<rule 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*.f64 (*.f64 (/.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y))))) (/.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (log.f64 (/.f64 1 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (/.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))))) (*.f64 y (-.f64 -1 (log.f64 (/.f64 1 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (/.f64 y y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (/.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (/.f64 (/.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y))))) (/.f64 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 y (-.f64 -1 (log.f64 (/.f64 1 y)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 y (-.f64 -1 (log.f64 (/.f64 1 y)))))))))

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1304×	`rational_best_oopsla_all_46_json_45_simplify-72`
1288×	`rational_best_oopsla_all_46_json_45_simplify-49`
844×	`rational_best_oopsla_all_46_json_45_simplify-7`
734×	`rational_best_oopsla_all_46_json_45_simplify-89`
604×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	185	3067
1	754	2819
2	3956	2819

Stop Event

1×	node limit

Counts

107 → 102

Calls

Call 1

Inputs
(*.f64 y (log.f64 y))
(*.f64 y (log.f64 y))
(*.f64 y (log.f64 y))
(*.f64 y (log.f64 y))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(.f64 -1 (.f64 y (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(.f64 -1 (.f64 y (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(.f64 -1 (.f64 y (+.f64 (log.f64 -1) (log.f64 (/.f64 -1 y)))))
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 (-.f64 1 (log.f64 y)) y)
(*.f64 (-.f64 1 (log.f64 y)) y)
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
(*.f64 y (+.f64 1 (+.f64 (log.f64 (/.f64 -1 y)) (log.f64 -1))))
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(+.f64 y (*.f64 y (log.f64 (/.f64 1 y))))
(/.f64 (+.f64 y (.f64 y (log.f64 (/.f64 1 y)))) (/.f64 (+.f64 y (.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y))))))
(*.f64 y (-.f64 1 (neg.f64 (log.f64 (/.f64 1 y)))))
(+.f64 y (*.f64 y (log.f64 (/.f64 1 y))))
(/.f64 (+.f64 y (.f64 y (log.f64 (/.f64 1 y)))) (/.f64 (/.f64 (+.f64 y (.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (.f64 y (log.f64 (/.f64 1 y))))) (/.f64 (+.f64 y (.f64 y (log.f64 (/.f64 1 y)))) (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))))))
(*.f64 y (-.f64 1 (neg.f64 (log.f64 (/.f64 1 y)))))
(+.f64 y (*.f64 y (log.f64 (/.f64 1 y))))
(/.f64 (*.f64 y (-.f64 -1 (log.f64 (/.f64 1 y)))) -1)
(*.f64 y (-.f64 1 (neg.f64 (log.f64 (/.f64 1 y)))))
(+.f64 y (*.f64 y (log.f64 (/.f64 1 y))))
(neg.f64 (*.f64 y (-.f64 -1 (log.f64 (/.f64 1 y)))))
(*.f64 y (-.f64 1 (neg.f64 (log.f64 (/.f64 1 y)))))
(+.f64 y (*.f64 y (log.f64 (/.f64 1 y))))

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
✓	0.1b	(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
✓	0.1b	(*.f64 (+.f64 1/2 y) (log.f64 y))

Compiler

Compiled 35 to 19 computations (45.7% saved)

series7.0ms (0.1%)

Counts

3 → 51

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
0.0ms	y	@	inf	(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
0.0ms	y	@	0	(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
0.0ms	y	@	-inf	(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)
0.0ms	z	@	0	(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))

rewrite152.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

982×	`rational_best_oopsla_all_46_json_45_simplify-10`
974×	`rational_best_oopsla_all_46_json_45_simplify-7`
720×	`rational_best_oopsla_all_46_json_45_simplify-35`
600×	`rational_best_oopsla_all_46_json_45_simplify-108`
504×	`rational_best_oopsla_all_46_json_45_simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	69
1	64	69
2	181	69
3	791	69
4	4050	69
5	7130	69

Stop Event

1×	node limit

Counts

3 → 176

Calls

Call 1

Inputs
(*.f64 (+.f64 1/2 y) (log.f64 y))
(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)

Outputs

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simplify152.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1350×	`rational_best_oopsla_all_46_json_45_simplify-49`
1004×	`rational_best_oopsla_all_46_json_45_simplify-89`
976×	`rational_best_oopsla_all_46_json_45_simplify-35`
884×	`rational_best_oopsla_all_46_json_45_simplify-23`
844×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	370	8617
1	1282	6939
2	5812	6931

Stop Event

1×	node limit

Counts

227 → 234

Calls

Call 1

Inputs
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(-.f64 (+.f64 z (.f64 0 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)))) (.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))))
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(.f64 -1 (.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (-.f64 (*.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))) z)))
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Outputs
(*.f64 1/2 (log.f64 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
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(*.f64 y (neg.f64 (log.f64 (/.f64 1 y))))
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(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(*.f64 -1 z)
(neg.f64 z)
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(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(*.f64 -1 z)
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(-.f64 (+.f64 y (neg.f64 z)) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
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(.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)))))
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(.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))))
(+.f64 (.f64 1/2 (log.f64 y)) (+.f64 (.f64 y (log.f64 y)) z))
(+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))
(.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (.f64 (.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (/.f64 1 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z))) (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z))))
(+.f64 (.f64 1/2 (log.f64 y)) (+.f64 (.f64 y (log.f64 y)) z))
(+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))
(.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (.f64 (.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z))) (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z))))
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(.f64 1 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z))
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(.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z))
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(.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (/.f64 1 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)))))
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(.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)))))
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(.f64 -1 (-.f64 (.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))) z))
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(+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))
(.f64 -1 (.f64 1 (-.f64 (*.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))) z)))
(+.f64 (.f64 1/2 (log.f64 y)) (+.f64 (.f64 y (log.f64 y)) z))
(+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))
(.f64 -1 (.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (-.f64 (*.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))) z)))
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(.f64 -1 (-.f64 (neg.f64 z) (.f64 (+.f64 1/2 y) (log.f64 y))))
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(.f64 (.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (/.f64 1 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z))) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(+.f64 (.f64 1/2 (log.f64 y)) (+.f64 (.f64 y (log.f64 y)) z))
(+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))
(.f64 (-.f64 (.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))) z) -1)
(+.f64 (.f64 1/2 (log.f64 y)) (+.f64 (.f64 y (log.f64 y)) z))
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(.f64 (-.f64 (.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))) z) (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z))))
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(.f64 (.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z))) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
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(.f64 (neg.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z))) (-.f64 (.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))) z))
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(/.f64 (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z) 1)
(+.f64 (.f64 1/2 (log.f64 y)) (+.f64 (.f64 y (log.f64 y)) z))
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(/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)))
(+.f64 (.f64 1/2 (log.f64 y)) (+.f64 (.f64 y (log.f64 y)) z))
(+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))
(/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (/.f64 (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (/.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))))
(+.f64 (.f64 1/2 (log.f64 y)) (+.f64 (.f64 y (log.f64 y)) z))
(+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))
(neg.f64 (-.f64 (*.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))) z))
(+.f64 (.f64 1/2 (log.f64 y)) (+.f64 (.f64 y (log.f64 y)) z))
(+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))
(neg.f64 (.f64 -1 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)))
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(+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))) y) (.f64 1/2 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))))))
✓	0.1b	(/.f64 (log.f64 y) (+.f64 y 1/2))
✓	0.2b	(*.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2)))
✓	0.3b	(.f64 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))) y)

Compiler

Compiled 116 to 66 computations (43.1% saved)

series4.0ms (0%)

Counts

4 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(.f64 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))) y)
0.0ms	y	@	-inf	(/.f64 (log.f64 y) (+.f64 y 1/2))
0.0ms	y	@	inf	(/.f64 (log.f64 y) (+.f64 y 1/2))
0.0ms	y	@	0	(.f64 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))) y)
0.0ms	x	@	0	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))) y) (.f64 1/2 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))))))

rewrite114.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1274×	`rational_best_oopsla_all_46_json_45_simplify-37`
1210×	`rational_best_oopsla_all_46_json_45_simplify-23`
900×	`rational_best_oopsla_all_46_json_45_simplify-13`
854×	`rational_best_oopsla_all_46_json-2`
854×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	174
1	108	140
2	358	140
3	1808	140

Stop Event

1×	node limit

Counts

4 → 237

Calls

Call 1

Inputs
(.f64 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))) y)
(*.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2)))
(/.f64 (log.f64 y) (+.f64 y 1/2))
(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))) y) (.f64 1/2 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))))))

Outputs
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simplify259.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1876×	`rational_best_oopsla_all_46_json_45_simplify-89`
1584×	`rational_best_oopsla_all_46_json_45_simplify-24`
1524×	`rational_best_oopsla_all_46_json_45_simplify-74`
906×	`rational_best_oopsla_all_46_json_45_simplify-10`
420×	`rational_best_oopsla_all_46_json_45_simplify-37`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	606	16505
1	2296	15353
2	7823	15079

Stop Event

1×	node limit

Counts

309 → 363

Calls

Call 1

Inputs
(*.f64 y (log.f64 y))
(*.f64 y (log.f64 y))
(*.f64 y (log.f64 y))
(*.f64 y (log.f64 y))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(log.f64 y)
(log.f64 y)
(log.f64 y)
(log.f64 y)
(*.f64 -1 (log.f64 (/.f64 1 y)))
(*.f64 -1 (log.f64 (/.f64 1 y)))
(*.f64 -1 (log.f64 (/.f64 1 y)))
(*.f64 -1 (log.f64 (/.f64 1 y)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))
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Outputs
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(.f64 (.f64 (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))))))) (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))))
(.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (log.f64 y)))) (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (log.f64 y))))))
(.f64 (+.f64 (-.f64 x z) (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (/.f64 (+.f64 (-.f64 x z) (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (+.f64 (-.f64 x z) (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))))
(.f64 (neg.f64 (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))))) (+.f64 (.f64 (+.f64 y 1/2) (*.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (-.f64 z (+.f64 y x))))
(.f64 (+.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 z (+.f64 y x))) (neg.f64 (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (log.f64 y)))))))
(.f64 (/.f64 (+.f64 (-.f64 x z) (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (+.f64 (-.f64 x z) (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))) (+.f64 (-.f64 y (+.f64 z (.f64 (log.f64 y) (+.f64 y 1/2)))) x))
(/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))) 1)
(+.f64 y (-.f64 (-.f64 x z) (*.f64 (+.f64 y 1/2) (log.f64 y))))
(+.f64 (-.f64 x z) (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))
(/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))) (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))))))))
(+.f64 y (-.f64 (-.f64 x z) (*.f64 (+.f64 y 1/2) (log.f64 y))))
(+.f64 (-.f64 x z) (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2))))
(/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))) (/.f64 (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))))))) (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))))))
(/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (log.f64 y)))) (/.f64 (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (log.f64 y))))) (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 y (-.f64 (-.f64 x z) (*.f64 (+.f64 y 1/2) (log.f64 y)))))))
(/.f64 (+.f64 (-.f64 x z) (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (/.f64 (/.f64 (+.f64 (-.f64 x z) (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (+.f64 (-.f64 x z) (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2))))) (/.f64 (+.f64 (-.f64 x z) (-.f64 y (.f64 (log.f64 y) (+.f64 y 1/2)))) (+.f64 (-.f64 x z) (-.f64 y (*.f64 (log.f64 y) (+.f64 y 1/2)))))))
(/.f64 (+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (-.f64 z (+.f64 y x))) -1)
(neg.f64 (+.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 z (+.f64 y x))))
(neg.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z (+.f64 y x))))
(neg.f64 (+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (-.f64 z (+.f64 y x))))
(neg.f64 (+.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 z (+.f64 y x))))
(neg.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z (+.f64 y x))))

eval515.0ms (5.3%)

Compiler: Compiled 42151 to 23380 computations (44.5% saved)

prune248.0ms (2.5%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	1080	13	1093
Fresh	2	3	5
Picked	1	0	1
Done	4	1	5
Total	1087	17	1104

Error

0.1b

Counts

1104 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	16.3b	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (+.f64 (.f64 (.f64 y y) (/.f64 (log.f64 y) (+.f64 y 1/2))) (.f64 (/.f64 (log.f64 y) (+.f64 y 1/2)) (.f64 y 1/2))) (.f64 1/2 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))))))
▶	0.2b	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y) (.f64 1/2 (*.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))))))
	18.3b	(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
▶	17.1b	(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
▶	17.1b	(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
	18.3b	(-.f64 y (.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (/.f64 1 (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)))))
	34.5b	(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
	41.2b	(-.f64 y (*.f64 y (log.f64 y)))
▶	46.9b	(-.f64 y z)
	21.6b	(-.f64 x (+.f64 (*.f64 (log.f64 y) 1/2) z))
	0.2b	(.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (/.f64 1 (-.f64 y (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))))))
	41.2b	(*.f64 (-.f64 1 (log.f64 y)) y)
	41.2b	(.f64 (+.f64 y (.f64 y (log.f64 (/.f64 1 y)))) (.f64 (+.f64 y (.f64 y (log.f64 (/.f64 1 y)))) (/.f64 1 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))))))
	41.2b	(.f64 (neg.f64 y) (-.f64 -1 (.f64 (neg.f64 y) (/.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))))
▶	39.4b	(neg.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z))
✓	46.4b	(neg.f64 z)
	45.5b	x

Compiler

Compiled 621 to 417 computations (32.9% saved)

localize58.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2)))
	0.2b	(*.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2)))
✓	0.2b	(*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))
✓	0.3b	(.f64 (.f64 (*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y)

Compiler

Compiled 175 to 110 computations (37.1% saved)

series6.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(.f64 (.f64 (*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y)
1.0ms	y	@	-inf	(.f64 (.f64 (*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y)
1.0ms	y	@	inf	(.f64 (.f64 (*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y)
0.0ms	y	@	-inf	(.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2)))
0.0ms	y	@	-inf	(*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1466×	`rational_best_oopsla_all_46_json_45_simplify-23`
1378×	`rational_best_oopsla_all_46_json_45_simplify-13`
1072×	`rational_best_oopsla_all_46_json-2`
1072×	`rational_best_oopsla_all_46_json-1`
1072×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	123
1	89	111
2	349	111
3	2190	111

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

Inputs

(*.f64 (*.f64 (*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y)

(*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))

(*.f64 (*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (log.f64 y) (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 y (*.f64 (log.f64 y) (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (log.f64 y) (*.f64 y (/.f64 1/2 (+.f64 y 1/2))))) (*.f64 y (*.f64 (log.f64 y) (*.f64 (+.f64 y 1) (/.f64 1/2 (+.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (log.f64 y) (*.f64 (+.f64 y 1) (/.f64 1/2 (+.f64 y 1/2))))) (*.f64 y (*.f64 (log.f64 y) (*.f64 y (/.f64 1/2 (+.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y (*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (/.f64 1/2 (+.f64 y 1/2))))) (*.f64 y (*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (/.f64 1/2 (+.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (log.f64 y) (*.f64 (+.f64 y 1) (/.f64 1/2 (+.f64 y 1/2)))) (*.f64 y 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(*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (/.f64 1/2 (+.f64 y 1/2)))))) (*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (/.f64 1/2 (+.f64 y 1/2))))) (*.f64 (*.f64 y (/.f64 (*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (/.f64 1/2 (+.f64 y 1/2)))) (*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (/.f64 1/2 (+.f64 y 1/2)))))) (*.f64 (log.f64 y) (*.f64 (+.f64 y 1/2) (/.f64 1/2 (+.f64 y 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (*.f64 (log.f64 y) (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (*.f64 (log.f64 y) (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1))))) (*.f64 (neg.f64 y) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (*.f64 (log.f64 y) (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1))))) (*.f64 (*.f64 (+.f64 y (+.f64 y 1)) (*.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 y (*.f64 (log.f64 y) (*.f64 (/.f64 1/2 (+.f64 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simplify153.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1514×	`rational_best_oopsla_all_46_json_45_simplify-49`
1180×	`rational_best_oopsla_all_46_json_45_simplify-89`
1112×	`rational_best_oopsla_all_46_json_45_simplify-7`
1046×	`rational_best_oopsla_all_46_json_45_simplify-24`
928×	`rational_best_oopsla_all_46_json_45_simplify-74`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	400	11609
1	1466	10577
2	6063	10577

Stop Event

1×	node limit

Counts

179 → 231

Calls

Call 1

Inputs
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(*.f64 y (log.f64 y))
(*.f64 y (log.f64 y))
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(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
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Outputs
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(/.f64 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (+.f64 y 1)))) (/.f64 (/.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))))) (/.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))) (.f64 (+.f64 y 1/2) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))))))
(/.f64 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (+.f64 y 1)))) (/.f64 (/.f64 (.f64 (log.f64 y) (.f64 (+.f64 y 1/2) (/.f64 1/2 (+.f64 y 1/2)))) (.f64 (log.f64 y) (.f64 (+.f64 y 1/2) (/.f64 1/2 (+.f64 y 1/2))))) (/.f64 (.f64 (log.f64 y) (.f64 (+.f64 y 1/2) (/.f64 1/2 (+.f64 y 1/2)))) (.f64 (log.f64 y) (.f64 (+.f64 y 1/2) (/.f64 1/2 (+.f64 y 1/2)))))))
(/.f64 (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))) (/.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (/.f64 (+.f64 y (+.f64 y 1)) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))))) (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (/.f64 (+.f64 y (+.f64 y 1)) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))))))
(.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (+.f64 y 1))))
(/.f64 (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))) (/.f64 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1))) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))
(.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (+.f64 y 1))))
(/.f64 (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))) (/.f64 (.f64 (+.f64 y (+.f64 y 1)) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (log.f64 y) (log.f64 y)))) (.f64 (+.f64 y (+.f64 y 1)) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (log.f64 y) (log.f64 y))))))
(/.f64 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (+.f64 y 1)))) (/.f64 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (+.f64 y (+.f64 y 1)) (/.f64 (log.f64 y) (log.f64 y)))) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (+.f64 y (+.f64 y 1)) (/.f64 (log.f64 y) (log.f64 y))))))
(/.f64 (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))) (/.f64 (.f64 (log.f64 y) (+.f64 y (+.f64 y 1))) (.f64 (log.f64 y) (+.f64 y (+.f64 y 1)))))
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(/.f64 (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))) (/.f64 (.f64 (/.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))) (.f64 (+.f64 y (+.f64 y 1)) (/.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))))) (.f64 (/.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))) (.f64 (+.f64 y (+.f64 y 1)) (/.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))))))))
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(/.f64 (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))) (/.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))) (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))
(/.f64 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (+.f64 y 1)))) (/.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))) (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))))
(/.f64 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (+.f64 y 1)))) (/.f64 (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))))))
(/.f64 (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))) (/.f64 (neg.f64 (.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2)))) (neg.f64 (.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2))))))
(.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (+.f64 y 1))))
(/.f64 (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))) (/.f64 (neg.f64 (neg.f64 (+.f64 y (+.f64 y 1)))) (neg.f64 (neg.f64 (+.f64 y (+.f64 y 1))))))
(.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (+.f64 y 1))))

localize3.0ms (0%)

Compiler: Compiled 8 to 4 computations (50% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/2 (log.f64 y)) z)

Compiler

Compiled 25 to 14 computations (44% saved)

series1.0ms (0%)

Counts

1 → 11

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(+.f64 (*.f64 1/2 (log.f64 y)) z)
0.0ms	y	@	-inf	(+.f64 (*.f64 1/2 (log.f64 y)) z)
0.0ms	y	@	inf	(+.f64 (*.f64 1/2 (log.f64 y)) z)
0.0ms	z	@	-inf	(+.f64 (*.f64 1/2 (log.f64 y)) z)
0.0ms	z	@	inf	(+.f64 (*.f64 1/2 (log.f64 y)) z)

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1450×	`rational_best_oopsla_all_46_json_45_simplify-23`
1402×	`rational_best_oopsla_all_46_json_45_simplify-13`
904×	`rational_best_oopsla_all_46_json-2`
904×	`rational_best_oopsla_all_46_json-1`
904×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	50	17
2	114	17
3	371	17
4	1806	17

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 (log.f64 y)) z)

Outputs

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simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1878×	`rational_best_oopsla_all_46_json_45_simplify-13`
1426×	`rational_best_oopsla_all_46_json_45_simplify-23`
746×	`rational_best_oopsla_all_46_json_45_simplify-49`
606×	`rational_best_oopsla_all_46_json_45_simplify-7`
534×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	3006
1	540	2924
2	2709	2862

Stop Event

1×	node limit

Counts

64 → 81

Calls

Call 1

Inputs
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(*.f64 1/2 (log.f64 y))
z
z
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Outputs
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(*.f64 1/2 (log.f64 y))
z
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(.f64 (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)) (.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (+.f64 (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)) (/.f64 0 (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (*.f64 -1/2 (log.f64 y)) z))))))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (+.f64 0 (.f64 (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)) (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (*.f64 -1/2 (log.f64 y)) z)))))
(.f64 (.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 1 (+.f64 (.f64 1/2 (log.f64 y)) z))) (+.f64 (*.f64 1/2 (log.f64 y)) z))
(+.f64 z (*.f64 1/2 (log.f64 y)))
(.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) -1)
(-.f64 (*.f64 1/2 (log.f64 y)) (neg.f64 z))
(-.f64 z (*.f64 -1/2 (log.f64 y)))
(.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (neg.f64 (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z))))
(-.f64 (*.f64 1/2 (log.f64 y)) (neg.f64 z))
(-.f64 z (*.f64 -1/2 (log.f64 y)))
(.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (/.f64 0 (+.f64 (.f64 1/2 (log.f64 y)) z)) (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (*.f64 (log.f64 y) -1/2) z))))
(.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (/.f64 0 (+.f64 z (.f64 1/2 (log.f64 y)))) (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (*.f64 -1/2 (log.f64 y))))))
(-.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (/.f64 0 (+.f64 z (.f64 1/2 (log.f64 y))))))
(.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 0 (.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)))))
(.f64 (.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 1 (+.f64 z (.f64 1/2 (log.f64 y))))) (-.f64 z (*.f64 -1/2 (log.f64 y))))
(.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 0 (.f64 (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)) (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (*.f64 (log.f64 y) -1/2) z)))))
(-.f64 (*.f64 1/2 (log.f64 y)) (neg.f64 z))
(-.f64 z (*.f64 -1/2 (log.f64 y)))
(.f64 -1 (-.f64 (.f64 (log.f64 y) -1/2) z))
(-.f64 (*.f64 1/2 (log.f64 y)) (neg.f64 z))
(-.f64 z (*.f64 -1/2 (log.f64 y)))
(.f64 -1 (+.f64 (.f64 (log.f64 y) -1/2) (neg.f64 z)))
(+.f64 z (*.f64 1/2 (log.f64 y)))
(.f64 -1 (+.f64 (neg.f64 z) (.f64 (log.f64 y) -1/2)))
(+.f64 z (*.f64 1/2 (log.f64 y)))
(.f64 (.f64 (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)) (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z))) (+.f64 (*.f64 1/2 (log.f64 y)) z))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (.f64 (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (.f64 -1/2 (log.f64 y)))) (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (*.f64 -1/2 (log.f64 y))))))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (.f64 (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)) (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (*.f64 -1/2 (log.f64 y)) z))))
(.f64 (.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)) (+.f64 (.f64 1/2 (log.f64 y)) z))) (+.f64 (*.f64 1/2 (log.f64 y)) z))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (.f64 -1/2 (log.f64 y)))))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)))
(.f64 (.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 1 (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)))) (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (*.f64 (log.f64 y) -1/2) z)))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (.f64 (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (.f64 -1/2 (log.f64 y)))) (/.f64 1 (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (*.f64 -1/2 (log.f64 y)))))))
(.f64 (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)) (.f64 1 (/.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (*.f64 -1/2 (log.f64 y)) z)))))
(.f64 (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)) (/.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z))))
(.f64 (.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)) (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)))) (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (*.f64 (log.f64 y) -1/2) z)))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (.f64 -1/2 (log.f64 y)))))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)))
(.f64 (neg.f64 (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z))) (-.f64 (.f64 (log.f64 y) -1/2) z))
(-.f64 (*.f64 1/2 (log.f64 y)) (neg.f64 z))
(-.f64 z (*.f64 -1/2 (log.f64 y)))
(.f64 (.f64 (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)) (.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 1 (+.f64 (.f64 1/2 (log.f64 y)) z)))) (+.f64 (.f64 1/2 (log.f64 y)) z))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (.f64 -1/2 (log.f64 y)))))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)))
(.f64 (.f64 (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)) (.f64 (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)) (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)))) (+.f64 (.f64 1/2 (log.f64 y)) z))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (.f64 (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (.f64 -1/2 (log.f64 y)))) (.f64 (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (.f64 -1/2 (log.f64 y)))) (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (.f64 -1/2 (log.f64 y)))))))
(.f64 (.f64 (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)) (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z))) (.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z))))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (.f64 (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)) (.f64 (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)) (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)))))
(.f64 (neg.f64 (.f64 (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)) (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)))) (-.f64 (*.f64 (log.f64 y) -1/2) z))
(-.f64 (*.f64 1/2 (log.f64 y)) (neg.f64 z))
(-.f64 z (*.f64 -1/2 (log.f64 y)))
(.f64 (neg.f64 (.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 1 (+.f64 (.f64 1/2 (log.f64 y)) z)))) (-.f64 (*.f64 (log.f64 y) -1/2) z))
(.f64 (.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 1 (+.f64 z (.f64 1/2 (log.f64 y))))) (-.f64 z (*.f64 -1/2 (log.f64 y))))
(.f64 (neg.f64 (neg.f64 (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)))) (+.f64 (.f64 1/2 (log.f64 y)) z))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (.f64 -1/2 (log.f64 y)))))
(.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)))
(/.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z) 1)
(+.f64 z (*.f64 1/2 (log.f64 y)))
(/.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (*.f64 (log.f64 y) -1/2) z)))
(/.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (*.f64 -1/2 (log.f64 y)))))
(/.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (*.f64 -1/2 (log.f64 y)) z)))
(/.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (.f64 (log.f64 y) -1/2) z)) (/.f64 (-.f64 (.f64 (log.f64 y) -1/2) z) (-.f64 (*.f64 (log.f64 y) -1/2) z))))
(/.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (.f64 -1/2 (log.f64 y)))) (/.f64 (-.f64 z (.f64 -1/2 (log.f64 y))) (-.f64 z (*.f64 -1/2 (log.f64 y))))))
(/.f64 (+.f64 z (.f64 1/2 (log.f64 y))) (/.f64 (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (.f64 -1/2 (log.f64 y)) z)) (/.f64 (-.f64 (.f64 -1/2 (log.f64 y)) z) (-.f64 (*.f64 -1/2 (log.f64 y)) z))))
(/.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 (.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 1 (+.f64 (.f64 1/2 (log.f64 y)) z))) (.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)))))
(+.f64 z (*.f64 1/2 (log.f64 y)))
(neg.f64 (-.f64 (*.f64 (log.f64 y) -1/2) z))
(-.f64 (*.f64 1/2 (log.f64 y)) (neg.f64 z))
(-.f64 z (*.f64 -1/2 (log.f64 y)))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
	0.1b	(*.f64 (+.f64 1/2 y) (log.f64 y))

Compiler

Compiled 30 to 15 computations (50% saved)

series1.0ms (0%)

Counts

1 → 15

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
0.0ms	y	@	0	(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
0.0ms	y	@	inf	(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
0.0ms	x	@	-inf	(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
0.0ms	x	@	inf	(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))

rewrite127.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`rational_best_oopsla_all_46_json_45_simplify-10`
990×	`rational_best_oopsla_all_46_json_45_simplify-7`
746×	`rational_best_oopsla_all_46_json_45_simplify-35`
676×	`rational_best_oopsla_all_46_json_45_simplify-108`
504×	`rational_best_oopsla_all_46_json_45_simplify-80`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	66	29
2	193	29
3	834	29
4	4223	29
5	7410	29

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

Inputs
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 y (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 y x) (*.f64 (+.f64 y 1/2) (neg.f64 (log.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))) (*.f64 0 (/.f64 (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y))) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 y 1/2) 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y))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))) (/.f64 (/.f64 (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y))))) (/.f64 (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (+.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (+.f64 y x)))))))

simplify110.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1228×	`rational_best_oopsla_all_46_json_45_simplify-7`
1166×	`rational_best_oopsla_all_46_json_45_simplify-72`
1028×	`rational_best_oopsla_all_46_json_45_simplify-49`
742×	`rational_best_oopsla_all_46_json_45_simplify-35`
532×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	2736
1	617	2690
2	4231	2670

Stop Event

1×	node limit

Counts

72 → 103

Calls

Call 1

Inputs
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(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(.f64 y (+.f64 1 (.f64 -1 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 (+.f64 (.f64 y (+.f64 1 (.f64 -1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) x) (.f64 1/2 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
x
x
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(+.f64 0 (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))))
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Outputs
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(neg.f64 (-.f64 (neg.f64 (+.f64 x y)) (.f64 (+.f64 1/2 y) (.f64 (neg.f64 (+.f64 1/2 y)) (/.f64 (log.f64 y) (+.f64 1/2 y))))))
(-.f64 (.f64 (+.f64 1/2 y) (.f64 (neg.f64 (+.f64 1/2 y)) (/.f64 (log.f64 y) (+.f64 1/2 y)))) (neg.f64 (+.f64 x y)))
(.f64 -1 (-.f64 (neg.f64 (+.f64 y x)) (.f64 (.f64 (log.f64 y) (.f64 (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2)))) (neg.f64 (+.f64 y 1/2)))))
(.f64 1 (-.f64 (.f64 (neg.f64 (+.f64 1/2 y)) (.f64 (log.f64 y) (.f64 (/.f64 (+.f64 1/2 y) (+.f64 1/2 y)) (/.f64 (+.f64 1/2 y) (+.f64 1/2 y))))) (neg.f64 (+.f64 x y))))
(neg.f64 (-.f64 (neg.f64 (+.f64 x y)) (.f64 (/.f64 (+.f64 1/2 y) (+.f64 1/2 y)) (.f64 (neg.f64 (+.f64 1/2 y)) (*.f64 (log.f64 y) (/.f64 (+.f64 1/2 y) (+.f64 1/2 y)))))))
(-.f64 (.f64 (/.f64 (+.f64 1/2 y) (+.f64 1/2 y)) (.f64 (neg.f64 (+.f64 1/2 y)) (*.f64 (log.f64 y) (/.f64 (+.f64 1/2 y) (+.f64 1/2 y))))) (neg.f64 (+.f64 x y)))
(.f64 -1 (-.f64 (neg.f64 (+.f64 y x)) (.f64 (*.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (log.f64 y))) (neg.f64 (log.f64 y)))))
(.f64 1 (-.f64 (.f64 (neg.f64 (log.f64 y)) (*.f64 (+.f64 1/2 y) (/.f64 (log.f64 y) (log.f64 y)))) (neg.f64 (+.f64 x y))))
(neg.f64 (-.f64 (neg.f64 (+.f64 x y)) (.f64 (+.f64 1/2 y) (.f64 (neg.f64 (log.f64 y)) (/.f64 (log.f64 y) (log.f64 y))))))
(-.f64 (+.f64 x y) (neg.f64 (.f64 (+.f64 1/2 y) (.f64 (neg.f64 (log.f64 y)) (/.f64 (log.f64 y) (log.f64 y))))))
(.f64 -1 (-.f64 (neg.f64 (+.f64 y x)) (.f64 (/.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (.f64 (+.f64 y 1/2) (log.f64 y))) (*.f64 (+.f64 y 1/2) (neg.f64 (log.f64 y))))))
(.f64 -1 (-.f64 (neg.f64 (+.f64 x y)) (.f64 (.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))) (/.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (*.f64 (log.f64 y) (+.f64 1/2 y))))))
(neg.f64 (-.f64 (neg.f64 (+.f64 x y)) (.f64 (+.f64 1/2 y) (.f64 (neg.f64 (log.f64 y)) (/.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (.f64 (log.f64 y) (+.f64 1/2 y)))))))
(-.f64 (.f64 (+.f64 1/2 y) (.f64 (neg.f64 (log.f64 y)) (/.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (.f64 (log.f64 y) (+.f64 1/2 y))))) (neg.f64 (+.f64 x y)))
(.f64 (.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (/.f64 1 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))))) (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))))
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(.f64 (.f64 (/.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y))))) (/.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))))) (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))))
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(.f64 (neg.f64 (/.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))))) (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (+.f64 y x)))
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(/.f64 (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))) 1)
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(/.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (/.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y))))))
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(/.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (/.f64 (/.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y))))) (/.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))))))
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(/.f64 (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (+.f64 y x)) -1)
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(neg.f64 (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (+.f64 y x)))
(-.f64 (+.f64 x y) (*.f64 (log.f64 y) (+.f64 1/2 y)))

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
	0.0b	(+.f64 (*.f64 (-.f64 1 (log.f64 y)) y) x)
	0.0b	(-.f64 1 (log.f64 y))
	0.3b	(*.f64 (-.f64 1 (log.f64 y)) y)

Compiler

Compiled 44 to 24 computations (45.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
0.0ms	y	@	-inf	(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
0.0ms	y	@	0	(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
0.0ms	x	@	0	(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
0.0ms	x	@	-inf	(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))

rewrite135.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`rational_best_oopsla_all_46_json_45_simplify-7`
748×	`rational_best_oopsla_all_46_json_45_simplify-35`
698×	`rational_best_oopsla_all_46_json_45_simplify-36`
544×	`rational_best_oopsla_all_46_json_45_simplify-93`
544×	`rational_best_oopsla_all_46_json_45_simplify-102`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	13	39
1	76	39
2	214	39
3	907	39
4	4512	37
5	7896	37

Stop Event

1×	node limit

Counts

1 → 52

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))

Outputs

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simplify131.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

882×	`rational_best_oopsla_all_46_json_45_simplify-35`
850×	`rational_best_oopsla_all_46_json_45_simplify-36`
676×	`rational_best_oopsla_all_46_json_45_simplify-10`
664×	`rational_best_oopsla_all_46_json_45_simplify-7`
656×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	3652
1	522	3364
2	2914	3334
3	6259	3308

Stop Event

1×	node limit

Counts

64 → 103

Calls

Call 1

Inputs
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(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
(.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y)
(-.f64 (+.f64 (.f64 (-.f64 1 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))) y) x) (.f64 1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
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(-.f64 (.f64 (-.f64 1 (log.f64 y)) y) (.f64 1/2 (log.f64 y)))
x
x
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(/.f64 (+.f64 x (-.f64 (*.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2)) (neg.f64 y))) 1)
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(neg.f64 (-.f64 (-.f64 (neg.f64 y) (*.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2))) x))

Outputs
(-.f64 x (*.f64 1/2 (log.f64 y)))
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(*.f64 y (-.f64 1 (neg.f64 (log.f64 (/.f64 1 y)))))
(-.f64 y (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))
(*.f64 y (-.f64 (log.f64 (/.f64 1 y)) -1))
(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
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(+.f64 (.f64 y (-.f64 1 (neg.f64 (log.f64 (/.f64 1 y))))) (-.f64 x (.f64 (log.f64 (/.f64 1 y)) -1/2)))
(+.f64 x (-.f64 (-.f64 y (.f64 (log.f64 (/.f64 1 y)) (neg.f64 y))) (.f64 (log.f64 (/.f64 1 y)) -1/2)))
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(-.f64 (+.f64 (.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (*.f64 -1/2 (log.f64 (/.f64 1 y))))
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(.f64 (/.f64 (+.f64 x (-.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (neg.f64 y))) (+.f64 x (-.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (neg.f64 y)))) (-.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 (neg.f64 y) x)))
(.f64 (/.f64 (+.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 x (neg.f64 y))) (+.f64 (.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 x (neg.f64 y)))) (-.f64 y (-.f64 (neg.f64 (.f64 (log.f64 y) (-.f64 -1/2 y))) x)))
(/.f64 (+.f64 x (-.f64 (*.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2)) (neg.f64 y))) 1)
(+.f64 x (-.f64 (*.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2)) (neg.f64 y)))
(+.f64 x (-.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (neg.f64 y)))
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 x (neg.f64 y)))
(/.f64 (+.f64 x (-.f64 (.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2)) (neg.f64 y))) (/.f64 (+.f64 x (-.f64 (.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2)) (neg.f64 y))) (+.f64 x (-.f64 (*.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2)) (neg.f64 y)))))
(+.f64 x (-.f64 (*.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2)) (neg.f64 y)))
(+.f64 x (-.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (neg.f64 y)))
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 x (neg.f64 y)))
(/.f64 (+.f64 x (-.f64 (.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2)) (neg.f64 y))) (/.f64 (/.f64 (+.f64 x (-.f64 (.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2)) (neg.f64 y))) (+.f64 x (-.f64 (.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2)) (neg.f64 y)))) (/.f64 (+.f64 x (-.f64 (.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2)) (neg.f64 y))) (+.f64 x (-.f64 (*.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2)) (neg.f64 y))))))
(+.f64 x (-.f64 (*.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2)) (neg.f64 y)))
(+.f64 x (-.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (neg.f64 y)))
(+.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y)) (-.f64 x (neg.f64 y)))
(/.f64 (-.f64 (-.f64 (neg.f64 y) (*.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2))) x) -1)
(neg.f64 (-.f64 (-.f64 (neg.f64 y) x) (*.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2))))
(neg.f64 (-.f64 (-.f64 (neg.f64 y) x) (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 y (-.f64 (neg.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) x))
(neg.f64 (-.f64 (-.f64 (neg.f64 y) (*.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2))) x))
(neg.f64 (-.f64 (-.f64 (neg.f64 y) x) (*.f64 (log.f64 y) (-.f64 (neg.f64 y) 1/2))))
(neg.f64 (-.f64 (-.f64 (neg.f64 y) x) (*.f64 (log.f64 y) (-.f64 -1/2 y))))
(-.f64 y (-.f64 (neg.f64 (*.f64 (log.f64 y) (-.f64 -1/2 y))) x))

eval434.0ms (4.4%)

Compiler: Compiled 34672 to 19590 computations (43.5% saved)

prune193.0ms (2%)

Pruning

20 alts after pruning (16 fresh and 4 done)

	Pruned	Kept	Total
New	869	7	876
Fresh	2	9	11
Picked	1	0	1
Done	1	4	5
Total	873	20	893

Error

0.1b

Counts

893 → 20

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.3b	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (-.f64 (.f64 0 (.f64 y (+.f64 y (+.f64 y 1)))) (.f64 (.f64 y (+.f64 y (+.f64 y 1))) (.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2))))) (.f64 1/2 (*.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))))))
▶	0.2b	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y) (.f64 1/2 (log.f64 y))))
▶	18.3b	(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
✓	17.1b	(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
	34.5b	(-.f64 (.f64 (-.f64 1 (log.f64 y)) y) (.f64 1/2 (log.f64 y)))
	18.3b	(-.f64 y (.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (/.f64 1 (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)))))
	34.5b	(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
▶	41.2b	(-.f64 y (*.f64 y (log.f64 y)))
✓	46.9b	(-.f64 y z)
	21.6b	(-.f64 x (+.f64 (*.f64 (log.f64 y) 1/2) z))
	38.3b	(-.f64 x (*.f64 1/2 (log.f64 y)))
	41.2b	(*.f64 (-.f64 1 (log.f64 y)) y)
	41.2b	(.f64 (+.f64 y (.f64 y (log.f64 (/.f64 1 y)))) (.f64 (+.f64 y (.f64 y (log.f64 (/.f64 1 y)))) (/.f64 1 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))))))
	17.2b	(.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (/.f64 1 (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))))))
	41.2b	(.f64 (neg.f64 y) (-.f64 -1 (.f64 (neg.f64 y) (/.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))))
✓	39.4b	(neg.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z))
	39.4b	(neg.f64 (.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)))))
▶	55.4b	(neg.f64 (*.f64 1/2 (log.f64 y)))
✓	46.4b	(neg.f64 z)
	45.5b	x

Compiler

Compiled 658 to 456 computations (30.7% saved)

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y) (.f64 1/2 (log.f64 y))))
	0.2b	(.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2)))
	0.2b	(*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))
	0.3b	(.f64 (.f64 (*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y)

Compiler

Compiled 135 to 83 computations (38.5% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y) (.f64 1/2 (log.f64 y))))
1.0ms	z	@	0	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y) (.f64 1/2 (log.f64 y))))
0.0ms	y	@	-inf	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y) (.f64 1/2 (log.f64 y))))
0.0ms	x	@	-inf	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y) (.f64 1/2 (log.f64 y))))
0.0ms	z	@	inf	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y) (.f64 1/2 (log.f64 y))))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1650×	`rational_best_oopsla_all_46_json_45_simplify-23`
1522×	`rational_best_oopsla_all_46_json_45_simplify-13`
1264×	`rational_best_oopsla_all_46_json-2`
1264×	`rational_best_oopsla_all_46_json-1`
1264×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	87
1	132	81
2	469	81
3	2640	71

Stop Event

1×	node limit

Counts

1 → 27

Calls

Call 1

Inputs
(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y) (.f64 1/2 (log.f64 y))))

Outputs

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simplify138.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1452×	`rational_best_oopsla_all_46_json_45_simplify-23`
1186×	`rational_best_oopsla_all_46_json_45_simplify-89`
978×	`rational_best_oopsla_all_46_json_45_simplify-74`
956×	`rational_best_oopsla_all_46_json_45_simplify-24`
806×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	4295
1	368	4145
2	1437	4093
3	7990	4093

Stop Event

1×	node limit

Counts

63 → 67

Calls

Call 1

Inputs
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Outputs
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(.f64 (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1))))))))) (.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))))) (/.f64 1 (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1))))))))))))
(-.f64 (+.f64 (-.f64 x z) y) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (*.f64 y (+.f64 y (+.f64 y 1)))))))
(-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (*.f64 y (+.f64 y (+.f64 y 1))))))) z)
(-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (+.f64 y (+.f64 y 1)) (*.f64 y (/.f64 1/2 (+.f64 y 1/2))))))) z)
(.f64 (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1))))))))) (.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))))) (/.f64 (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1))))))))) (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1))))))))))))
(-.f64 (+.f64 (-.f64 x z) y) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (*.f64 y (+.f64 y (+.f64 y 1)))))))
(-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (*.f64 y (+.f64 y (+.f64 y 1))))))) z)
(-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (+.f64 y (+.f64 y 1)) (*.f64 y (/.f64 1/2 (+.f64 y 1/2))))))) z)
(.f64 -1 (+.f64 z (-.f64 (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))) (+.f64 x y))))
(neg.f64 (+.f64 z (-.f64 (.f64 (log.f64 y) (+.f64 1/2 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (*.f64 y (+.f64 y (+.f64 y 1)))))) (+.f64 y x))))
(-.f64 (+.f64 y x) (+.f64 z (.f64 (log.f64 y) (+.f64 1/2 (.f64 (+.f64 y (+.f64 y 1)) (*.f64 y (/.f64 1/2 (+.f64 y 1/2))))))))
(/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))))) 1)
(-.f64 (+.f64 (-.f64 x z) y) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (*.f64 y (+.f64 y (+.f64 y 1)))))))
(-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (*.f64 y (+.f64 y (+.f64 y 1))))))) z)
(-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (+.f64 y (+.f64 y 1)) (*.f64 y (/.f64 1/2 (+.f64 y 1/2))))))) z)
(/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))))) (/.f64 (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))))) (+.f64 y (-.f64 (-.f64 x z) (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1))))))))))
(-.f64 (+.f64 (-.f64 x z) y) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (*.f64 y (+.f64 y (+.f64 y 1)))))))
(-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (*.f64 y (+.f64 y (+.f64 y 1))))))) z)
(-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (+.f64 y (+.f64 y 1)) (*.f64 y (/.f64 1/2 (+.f64 y 1/2))))))) z)
(/.f64 (+.f64 z (-.f64 (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))) (+.f64 x y))) -1)
(neg.f64 (+.f64 z (-.f64 (.f64 (log.f64 y) (+.f64 1/2 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (*.f64 y (+.f64 y (+.f64 y 1)))))) (+.f64 y x))))
(-.f64 (+.f64 y x) (+.f64 z (.f64 (log.f64 y) (+.f64 1/2 (.f64 (+.f64 y (+.f64 y 1)) (*.f64 y (/.f64 1/2 (+.f64 y 1/2))))))))
(neg.f64 (+.f64 z (-.f64 (.f64 (log.f64 y) (+.f64 1/2 (.f64 y (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (+.f64 y 1)))))) (+.f64 x y))))
(neg.f64 (+.f64 z (-.f64 (.f64 (log.f64 y) (+.f64 1/2 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (*.f64 y (+.f64 y (+.f64 y 1)))))) (+.f64 y x))))
(-.f64 (+.f64 y x) (+.f64 z (.f64 (log.f64 y) (+.f64 1/2 (.f64 (+.f64 y (+.f64 y 1)) (*.f64 y (/.f64 1/2 (+.f64 y 1/2))))))))

localize8.0ms (0.1%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 y (*.f64 y (log.f64 y)))
✓	0.3b	(*.f64 y (log.f64 y))

Compiler

Compiled 16 to 6 computations (62.5% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(-.f64 y (*.f64 y (log.f64 y)))
0.0ms	y	@	inf	(-.f64 y (*.f64 y (log.f64 y)))
0.0ms	y	@	-inf	(*.f64 y (log.f64 y))
0.0ms	y	@	inf	(*.f64 y (log.f64 y))
0.0ms	y	@	0	(-.f64 y (*.f64 y (log.f64 y)))

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`rational_best_oopsla_all_46_json-2`
1590×	`rational_best_oopsla_all_46_json-1`
1590×	`rational_best_oopsla_all_46_json-4`
1590×	`rational_best_oopsla_all_46_json-3`
1282×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	28
1	42	28
2	135	28
3	602	28
4	3119	28

Stop Event

1×	node limit

Counts

2 → 126

Calls

Call 1

Inputs
(*.f64 y (log.f64 y))
(-.f64 y (*.f64 y (log.f64 y)))

Outputs

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simplify134.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1434×	`rational_best_oopsla_all_46_json_45_simplify-89`
1180×	`rational_best_oopsla_all_46_json_45_simplify-36`
1166×	`rational_best_oopsla_all_46_json_45_simplify-24`
1130×	`rational_best_oopsla_all_46_json_45_simplify-74`
708×	`rational_best_oopsla_all_46_json_45_simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	285	3466
1	1263	3334
2	6762	3334

Stop Event

1×	node limit

Counts

146 → 151

Calls

Call 1

Inputs
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(/.f64 (-.f64 y (.f64 y (log.f64 y))) (/.f64 (-.f64 y (.f64 y (log.f64 y))) (-.f64 y (*.f64 y (log.f64 y)))))
(*.f64 y (-.f64 1 (log.f64 y)))
(/.f64 (-.f64 y (.f64 y (log.f64 y))) (/.f64 (/.f64 (-.f64 y (.f64 y (log.f64 y))) (-.f64 y (.f64 y (log.f64 y)))) (/.f64 (-.f64 y (.f64 y (log.f64 y))) (-.f64 y (*.f64 y (log.f64 y))))))
(*.f64 y (-.f64 1 (log.f64 y)))
(/.f64 (-.f64 (*.f64 y (log.f64 y)) y) -1)
(*.f64 y (-.f64 1 (log.f64 y)))
(neg.f64 (-.f64 (*.f64 y (log.f64 y)) y))
(*.f64 y (-.f64 1 (log.f64 y)))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
✓	0.1b	(*.f64 (log.f64 y) (+.f64 1/2 y))

Compiler

Compiled 30 to 15 computations (50% saved)

series1.0ms (0%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	y	@	-inf	(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
0.0ms	y	@	0	(*.f64 (log.f64 y) (+.f64 1/2 y))
0.0ms	y	@	-inf	(*.f64 (log.f64 y) (+.f64 1/2 y))
0.0ms	y	@	inf	(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
0.0ms	y	@	0	(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))

rewrite97.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1030×	`rational_best_oopsla_all_46_json_45_simplify-7`
814×	`rational_best_oopsla_all_46_json_45_simplify-108`
714×	`rational_best_oopsla_all_46_json_45_simplify-35`
504×	`rational_best_oopsla_all_46_json_45_simplify-80`
442×	`rational_best_oopsla_all_46_json_45_simplify-93`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	46
1	68	46
2	213	46
3	872	46
4	4342	46

Stop Event

1×	node limit

Counts

2 → 137

Calls

Call 1

Inputs
(*.f64 (log.f64 y) (+.f64 1/2 y))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))

Outputs

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(+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) z)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z y)))))))

simplify124.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1048×	`rational_best_oopsla_all_46_json_45_simplify-49`
934×	`rational_best_oopsla_all_46_json_45_simplify-72`
800×	`rational_best_oopsla_all_46_json_45_simplify-89`
786×	`rational_best_oopsla_all_46_json_45_simplify-35`
662×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	319	6635
1	1092	6291
2	4811	6245

Stop Event

1×	node limit

Counts

173 → 210

Calls

Call 1

Inputs
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(*.f64 -1 z)
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(/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)) (/.f64 (/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)) (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z))) (/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)) (-.f64 y (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) z)))))
(/.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z y)) -1)
(neg.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z y)))

Outputs
(*.f64 1/2 (log.f64 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 1/2 (log.f64 y)) (.f64 y (log.f64 y)))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(.f64 -1 (.f64 y (log.f64 (/.f64 1 y))))
(.f64 y (.f64 -1 (log.f64 (/.f64 1 y))))
(*.f64 y (neg.f64 (log.f64 (/.f64 1 y))))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 y (.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 (log.f64 (/.f64 1 y)) -1/2))
(+.f64 (.f64 y (neg.f64 (log.f64 (/.f64 1 y)))) (.f64 (log.f64 (/.f64 1 y)) -1/2))
(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 y (.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 (log.f64 (/.f64 1 y)) -1/2))
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(+.f64 (.f64 -1/2 (log.f64 (/.f64 1 y))) (.f64 -1 (*.f64 y (log.f64 (/.f64 1 y)))))
(+.f64 (.f64 y (.f64 -1 (log.f64 (/.f64 1 y)))) (*.f64 (log.f64 (/.f64 1 y)) -1/2))
(+.f64 (.f64 y (neg.f64 (log.f64 (/.f64 1 y)))) (.f64 (log.f64 (/.f64 1 y)) -1/2))
(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) y)
(.f64 y (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
(*.f64 y (+.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 -1)))
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(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (+.f64 1/2 y))
(*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (+.f64 1/2 y))
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(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (+.f64 1/2 y))
(*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (+.f64 1/2 y))
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(.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (+.f64 1/2 y))
(*.f64 (+.f64 (neg.f64 (log.f64 (/.f64 -1 y))) (log.f64 -1)) (+.f64 1/2 y))
(.f64 -1 (+.f64 (.f64 1/2 (log.f64 y)) z))
(.f64 -1 (+.f64 z (.f64 1/2 (log.f64 y))))
(neg.f64 (+.f64 z (*.f64 1/2 (log.f64 y))))
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(+.f64 (.f64 -1 (+.f64 z (.f64 1/2 (log.f64 y)))) (*.f64 y (-.f64 1 (log.f64 y))))
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(-.f64 y (*.f64 y (neg.f64 (log.f64 (/.f64 1 y)))))
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(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 (.f64 -1 z) y) (.f64 (+.f64 1/2 y) (log.f64 y)))
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(-.f64 (+.f64 y (neg.f64 z)) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 (.f64 -1 z) y) (.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y (neg.f64 z)) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 (.f64 -1 z) y) (.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y (neg.f64 z)) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
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(-.f64 (+.f64 y (neg.f64 z)) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(*.f64 -1 z)
(neg.f64 z)
(-.f64 (+.f64 (.f64 -1 z) y) (.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y (neg.f64 z)) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
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(-.f64 (+.f64 y (neg.f64 z)) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 (.f64 -1 z) y) (.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (+.f64 y (neg.f64 z)) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) 0)
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (.f64 0 (/.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y 1/2)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
(+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (.f64 0 (*.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (log.f64 y)))))
(*.f64 (log.f64 y) (+.f64 1/2 y))
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(*.f64 (log.f64 y) (+.f64 1/2 y))
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(*.f64 (log.f64 y) (+.f64 1/2 y))
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(*.f64 (log.f64 y) (+.f64 1/2 y))
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(*.f64 (log.f64 y) (+.f64 1/2 y))
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(*.f64 (log.f64 y) (+.f64 1/2 y))
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(*.f64 (log.f64 y) (+.f64 1/2 y))
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(*.f64 (log.f64 y) (+.f64 1/2 y))
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(*.f64 (log.f64 y) (+.f64 1/2 y))
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(+.f64 y (neg.f64 (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(.f64 -1 (.f64 (/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)) (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z))) (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z y))))
(+.f64 y (neg.f64 (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(.f64 -1 (-.f64 (-.f64 z y) (.f64 (*.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (log.f64 y))) (neg.f64 (log.f64 y)))))
(.f64 1 (-.f64 (.f64 (*.f64 (log.f64 y) (/.f64 (+.f64 1/2 y) (log.f64 y))) (neg.f64 (log.f64 y))) (-.f64 z y)))
(neg.f64 (-.f64 (-.f64 z y) (.f64 (.f64 (log.f64 y) (/.f64 (+.f64 1/2 y) (log.f64 y))) (neg.f64 (log.f64 y)))))
(-.f64 y (-.f64 z (.f64 (.f64 (log.f64 y) (/.f64 (+.f64 1/2 y) (log.f64 y))) (neg.f64 (log.f64 y)))))
(.f64 -1 (-.f64 (-.f64 z y) (.f64 (.f64 (+.f64 y 1/2) (.f64 (/.f64 (log.f64 y) (log.f64 y)) (/.f64 (log.f64 y) (log.f64 y)))) (neg.f64 (log.f64 y)))))
(.f64 1 (-.f64 (.f64 (.f64 (+.f64 1/2 y) (.f64 (/.f64 (log.f64 y) (log.f64 y)) (/.f64 (log.f64 y) (log.f64 y)))) (neg.f64 (log.f64 y))) (-.f64 z y)))
(neg.f64 (-.f64 (-.f64 z y) (.f64 (.f64 (+.f64 1/2 y) (*.f64 (/.f64 (log.f64 y) (log.f64 y)) (/.f64 (log.f64 y) (log.f64 y)))) (neg.f64 (log.f64 y)))))
(-.f64 (.f64 (.f64 (+.f64 1/2 y) (*.f64 (/.f64 (log.f64 y) (log.f64 y)) (/.f64 (log.f64 y) (log.f64 y)))) (neg.f64 (log.f64 y))) (-.f64 z y))
(.f64 -1 (-.f64 (-.f64 z y) (.f64 (*.f64 (log.f64 y) (/.f64 (+.f64 y 1/2) (+.f64 y 1/2))) (neg.f64 (+.f64 y 1/2)))))
(.f64 -1 (-.f64 (-.f64 z y) (.f64 (*.f64 (log.f64 y) (/.f64 (+.f64 1/2 y) (+.f64 1/2 y))) (neg.f64 (+.f64 1/2 y)))))
(neg.f64 (-.f64 (-.f64 z y) (-.f64 0 (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(-.f64 y (-.f64 z (*.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y)))))
(.f64 -1 (-.f64 (-.f64 z y) (.f64 (/.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y 1/2))) (*.f64 (+.f64 y 1/2) (neg.f64 (log.f64 y))))))
(.f64 -1 (-.f64 (-.f64 z y) (.f64 (+.f64 1/2 y) (.f64 (/.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (*.f64 (log.f64 y) (+.f64 1/2 y))) (neg.f64 (log.f64 y))))))
(neg.f64 (-.f64 (-.f64 z y) (.f64 (/.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (.f64 (log.f64 y) (+.f64 1/2 y))) (.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))))))
(-.f64 y (-.f64 z (.f64 (/.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (.f64 (log.f64 y) (+.f64 1/2 y))) (.f64 (+.f64 1/2 y) (neg.f64 (log.f64 y))))))
(.f64 -1 (-.f64 (-.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) y) (*.f64 (/.f64 z z) (neg.f64 z))))
(.f64 -1 (-.f64 (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (*.f64 (neg.f64 z) (/.f64 z z))) y))
(neg.f64 (-.f64 (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) y) (.f64 (neg.f64 z) (/.f64 z z))))
(-.f64 y (-.f64 (.f64 (log.f64 y) (+.f64 1/2 y)) (.f64 (neg.f64 z) (/.f64 z z))))
(.f64 (.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)) (/.f64 1 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)))) (-.f64 y (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) z)))
(+.f64 y (neg.f64 (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(.f64 (.f64 (/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)) (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z))) (/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)) (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)))) (-.f64 y (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) z)))
(+.f64 y (neg.f64 (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(.f64 (neg.f64 (/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)) (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)))) (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z y)))
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(-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(/.f64 (-.f64 y (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) z)) 1)
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(-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)) (/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)) (-.f64 y (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) z))))
(+.f64 y (neg.f64 (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)) (/.f64 (/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)) (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z))) (/.f64 (-.f64 y (+.f64 (.f64 (log.f64 y) (+.f64 y 1/2)) z)) (-.f64 y (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) z)))))
(+.f64 y (neg.f64 (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(/.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z y)) -1)
(+.f64 y (neg.f64 (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))
(neg.f64 (+.f64 (*.f64 (log.f64 y) (+.f64 y 1/2)) (-.f64 z y)))
(+.f64 y (neg.f64 (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y)))))
(-.f64 y (+.f64 z (*.f64 (log.f64 y) (+.f64 1/2 y))))

localize70.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2)))
✓	0.2b	(*.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2)))
✓	15.4b	(.f64 (.f64 y (+.f64 y (+.f64 y 1))) (*.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2))))
✓	16.0b	(.f64 0 (.f64 y (+.f64 y (+.f64 y 1))))

Compiler

Compiled 221 to 133 computations (39.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	y	@	inf	(.f64 (.f64 y (+.f64 y (+.f64 y 1))) (*.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2))))
0.0ms	y	@	-inf	(*.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2)))
0.0ms	y	@	inf	(*.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2)))
0.0ms	y	@	0	(.f64 (.f64 y (+.f64 y (+.f64 y 1))) (*.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2))))
0.0ms	y	@	-inf	(.f64 (.f64 y (+.f64 y (+.f64 y 1))) (*.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2))))

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1504×	`rational_best_oopsla_all_46_json_45_simplify-13`
1150×	`rational_best_oopsla_all_46_json_45_simplify-23`
1068×	`rational_best_oopsla_all_46_json-2`
1068×	`rational_best_oopsla_all_46_json-1`
1066×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	103
1	120	79
2	454	75
3	2439	75

Stop Event

1×	node limit

Counts

3 → 106

Calls

Call 1

Inputs
(.f64 0 (.f64 y (+.f64 y (+.f64 y 1))))
(.f64 (.f64 y (+.f64 y (+.f64 y 1))) (*.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2))))
(*.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 0)))))

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simplify125.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1224×	`rational_best_oopsla_all_46_json_45_simplify-37`
1090×	`rational_best_oopsla_all_46_json_45_simplify-7`
1064×	`rational_best_oopsla_all_46_json_45_simplify-89`
942×	`rational_best_oopsla_all_46_json_45_simplify-13`
906×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	327	8616
1	1241	8380
2	5033	8380

Stop Event

1×	node limit

Counts

142 → 199

Calls

Call 1

Inputs
0
0
0
0
0
0
0
0
0
0
0
0
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(/.f64 (.f64 (log.f64 y) (.f64 (.f64 y (-.f64 -1 (+.f64 y y))) (/.f64 1/2 (+.f64 y 1/2)))) (/.f64 (/.f64 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (.f64 y (+.f64 y y))))) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (.f64 y (+.f64 y y)))))) (/.f64 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (.f64 y (+.f64 y y))))) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (*.f64 y (+.f64 y y))))))))
(/.f64 (.f64 y (.f64 (log.f64 y) (.f64 (-.f64 -1 (+.f64 y y)) (/.f64 1/2 (+.f64 y 1/2))))) (/.f64 (/.f64 (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (.f64 y (+.f64 y y))))) (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (.f64 y (+.f64 y y)))))) (/.f64 (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (.f64 y (+.f64 y y))))) (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (*.f64 y (+.f64 y y))))))))
(neg.f64 (.f64 (+.f64 y (.f64 y (+.f64 y y))) (*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))))
(neg.f64 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (.f64 (log.f64 y) (+.f64 y (*.f64 y (+.f64 y y))))))
(neg.f64 (.f64 (log.f64 y) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (+.f64 y (*.f64 y (+.f64 y y))))))
(+.f64 0 (*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(+.f64 (*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) 0)
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 0 (*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 0 (.f64 -1 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 0 (.f64 (/.f64 (log.f64 y) (log.f64 y)) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 0 (.f64 (/.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 (*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) 0)
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (.f64 (*.f64 (neg.f64 (log.f64 y)) (/.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 1/2 (+.f64 y 1/2)))) 0))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (.f64 (log.f64 y) 0))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (.f64 (*.f64 (neg.f64 (log.f64 y)) (/.f64 (/.f64 1/2 (+.f64 y 1/2)) (neg.f64 (log.f64 y)))) 0))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (.f64 (/.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))) 0))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (.f64 (.f64 (/.f64 (log.f64 y) (log.f64 y)) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (log.f64 y) (log.f64 y)))) 0))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (.f64 (neg.f64 (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (log.f64 y) (log.f64 y)))) 0))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 (.f64 0 (neg.f64 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (log.f64 y) (log.f64 y))))) (.f64 (neg.f64 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (log.f64 y) (log.f64 y)))) (neg.f64 (log.f64 y))))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) -1) 0)
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 (.f64 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (/.f64 (log.f64 y) (log.f64 y))) 0)
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 (.f64 0 (.f64 (neg.f64 (log.f64 y)) (/.f64 (/.f64 1/2 (+.f64 y 1/2)) (neg.f64 (log.f64 y))))) (.f64 (.f64 (neg.f64 (log.f64 y)) (/.f64 (/.f64 1/2 (+.f64 y 1/2)) (neg.f64 (log.f64 y)))) (log.f64 y)))
(.f64 (.f64 (neg.f64 (log.f64 y)) (/.f64 (/.f64 1/2 (+.f64 y 1/2)) (neg.f64 (log.f64 y)))) (neg.f64 (log.f64 y)))
(neg.f64 (.f64 (/.f64 (/.f64 1/2 (+.f64 y 1/2)) (neg.f64 (log.f64 y))) (.f64 (log.f64 y) (neg.f64 (log.f64 y)))))
(-.f64 (.f64 0 (.f64 (/.f64 (log.f64 y) (log.f64 y)) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (log.f64 y) (log.f64 y))))) (.f64 (.f64 (/.f64 (log.f64 y) (log.f64 y)) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (log.f64 y) (log.f64 y)))) (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 (.f64 0 (neg.f64 (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))) (.f64 (neg.f64 (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(-.f64 (.f64 (neg.f64 (log.f64 y)) (neg.f64 (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))) (.f64 (neg.f64 (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) 0))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(/.f64 (*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) 1)
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(/.f64 (*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (/.f64 (log.f64 y) (log.f64 y)))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(/.f64 (*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (/.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 1/2 (+.f64 y 1/2))))
(/.f64 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (/.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(/.f64 (*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (/.f64 (/.f64 (log.f64 y) (log.f64 y)) (/.f64 (log.f64 y) (log.f64 y))))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(/.f64 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (/.f64 (.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (log.f64 y) (log.f64 y))) (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (log.f64 y) (log.f64 y)))))
(/.f64 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (/.f64 (.f64 (neg.f64 (log.f64 y)) (/.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 1/2 (+.f64 y 1/2)))) (*.f64 (neg.f64 (log.f64 y)) (/.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 1/2 (+.f64 y 1/2))))))
(/.f64 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (/.f64 (.f64 (/.f64 (log.f64 y) (log.f64 y)) (.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (log.f64 y) (log.f64 y)))) (.f64 (/.f64 (log.f64 y) (log.f64 y)) (*.f64 (/.f64 1/2 (+.f64 y 1/2)) (/.f64 (log.f64 y) (log.f64 y))))))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(/.f64 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (/.f64 (/.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2)))) (/.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))))))
(/.f64 (.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (/.f64 (.f64 (neg.f64 (log.f64 y)) (/.f64 (/.f64 1/2 (+.f64 y 1/2)) (neg.f64 (log.f64 y)))) (*.f64 (neg.f64 (log.f64 y)) (/.f64 (/.f64 1/2 (+.f64 y 1/2)) (neg.f64 (log.f64 y))))))
(/.f64 (*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (/.f64 (neg.f64 (neg.f64 (/.f64 1/2 (+.f64 y 1/2)))) (neg.f64 (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(/.f64 (*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) -1)
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))
(neg.f64 (*.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))))
(*.f64 (log.f64 y) (neg.f64 (/.f64 1/2 (+.f64 y 1/2))))

eval466.0ms (4.7%)

Compiler: Compiled 40289 to 21860 computations (45.7% saved)

prune216.0ms (2.2%)

Pruning

20 alts after pruning (13 fresh and 7 done)

	Pruned	Kept	Total
New	930	6	936
Fresh	4	7	11
Picked	1	0	1
Done	1	7	8
Total	936	20	956

Error

0.1b

Counts

956 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (+.f64 y (+.f64 y 1)) (*.f64 y (/.f64 1/2 (+.f64 y 1/2))))))) z)
	16.3b	(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (-.f64 (.f64 0 (.f64 y (+.f64 y (+.f64 y 1)))) (.f64 (.f64 y (+.f64 y (+.f64 y 1))) (.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2))))) (.f64 1/2 (log.f64 y))))
✓	18.3b	(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
✓	17.1b	(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
	34.5b	(-.f64 (.f64 (-.f64 1 (log.f64 y)) y) (.f64 1/2 (log.f64 y)))
	18.3b	(-.f64 y (-.f64 z (.f64 (.f64 (log.f64 y) (/.f64 (+.f64 1/2 y) (log.f64 y))) (neg.f64 (log.f64 y)))))
	34.5b	(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
✓	41.2b	(-.f64 y (*.f64 y (log.f64 y)))
✓	46.9b	(-.f64 y z)
	21.6b	(-.f64 x (+.f64 (*.f64 (log.f64 y) 1/2) z))
	38.3b	(-.f64 x (*.f64 1/2 (log.f64 y)))
	41.2b	(.f64 (-.f64 y (.f64 y (log.f64 y))) (.f64 (-.f64 y (.f64 y (log.f64 y))) (/.f64 1 (-.f64 y (*.f64 y (log.f64 y))))))
	41.2b	(.f64 (-.f64 1 (.f64 y (/.f64 (log.f64 y) y))) y)
	41.2b	(*.f64 (-.f64 1 (log.f64 y)) y)
	17.2b	(.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (/.f64 1 (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))))))
	41.2b	(.f64 y (.f64 y (/.f64 (-.f64 1 (log.f64 y)) y)))
✓	39.4b	(neg.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z))
✓	55.4b	(neg.f64 (*.f64 1/2 (log.f64 y)))
✓	46.4b	(neg.f64 z)
	45.5b	x

Compiler

Compiled 298 to 200 computations (32.9% saved)

regimes100.0ms (1%)

Counts

38 → 1

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 y z)
(neg.f64 (*.f64 1/2 (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(neg.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 (log.f64 y) 1/2) z))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 y (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))
(.f64 y (.f64 y (/.f64 (-.f64 1 (log.f64 y)) y)))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(.f64 (-.f64 1 (.f64 y (/.f64 (log.f64 y) y))) y)
(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (-.f64 (+.f64 x y) z) (*.f64 (+.f64 y 1/2) (log.f64 y)))
(.f64 (neg.f64 y) (-.f64 -1 (.f64 (neg.f64 y) (/.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (+.f64 y (+.f64 y 1)) (*.f64 y (/.f64 1/2 (+.f64 y 1/2))))))) z)
(-.f64 (.f64 (-.f64 1 (log.f64 y)) y) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))
(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y) (.f64 1/2 (log.f64 y))))
(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))) y) (.f64 1/2 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))))))
(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (.f64 (.f64 (.f64 (log.f64 y) (/.f64 1/2 (+.f64 y 1/2))) (+.f64 y (+.f64 (+.f64 y 1/2) 1/2))) y) (.f64 1/2 (*.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))))))
(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (-.f64 (.f64 0 (.f64 y (+.f64 y (+.f64 y 1)))) (.f64 (.f64 y (+.f64 y (+.f64 y 1))) (.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2))))) (.f64 1/2 (log.f64 y))))
(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (-.f64 (.f64 0 (.f64 y (+.f64 y (+.f64 y 1)))) (.f64 (.f64 y (+.f64 y (+.f64 y 1))) (.f64 (neg.f64 (log.f64 y)) (/.f64 1/2 (+.f64 y 1/2))))) (.f64 1/2 (*.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))))))
(-.f64 y (-.f64 z (.f64 (.f64 (log.f64 y) (/.f64 (+.f64 1/2 y) (log.f64 y))) (neg.f64 (log.f64 y)))))
(.f64 (-.f64 y (.f64 y (log.f64 y))) (.f64 (-.f64 y (.f64 y (log.f64 y))) (/.f64 1 (-.f64 y (*.f64 y (log.f64 y))))))
(neg.f64 (.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (.f64 (+.f64 (.f64 1/2 (log.f64 y)) z) (/.f64 1 (+.f64 (*.f64 1/2 (log.f64 y)) z)))))
(.f64 (+.f64 y (.f64 y (log.f64 (/.f64 1 y)))) (.f64 (+.f64 y (.f64 y (log.f64 (/.f64 1 y)))) (/.f64 1 (+.f64 y (*.f64 y (log.f64 (/.f64 1 y)))))))
(-.f64 y (.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (.f64 (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z) (/.f64 1 (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z)))))
(.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (.f64 (+.f64 x (-.f64 y (.f64 (+.f64 y 1/2) (log.f64 y)))) (/.f64 1 (+.f64 x (-.f64 y (*.f64 (+.f64 y 1/2) (log.f64 y)))))))
(.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (.f64 (-.f64 y (-.f64 (.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))) (/.f64 1 (-.f64 y (-.f64 (*.f64 (+.f64 y 1/2) (log.f64 y)) (-.f64 x z))))))
(-.f64 (-.f64 (+.f64 x y) z) (+.f64 (+.f64 (.f64 (.f64 y y) (/.f64 (log.f64 y) (+.f64 y 1/2))) (.f64 (/.f64 (log.f64 y) (+.f64 y 1/2)) (.f64 y 1/2))) (.f64 1/2 (.f64 (+.f64 y 1/2) (/.f64 (log.f64 y) (+.f64 y 1/2))))))

Outputs
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))

Calls

5 calls:

18.0ms	z
18.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
18.0ms	y
17.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
16.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)`
0.1b	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)`

Compiler

Compiled 689 to 380 computations (44.8% saved)

regimes64.0ms (0.6%)

Counts

24 → 1

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 y z)
(neg.f64 (*.f64 1/2 (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(neg.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 (log.f64 y) 1/2) z))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 y (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))
(.f64 y (.f64 y (/.f64 (-.f64 1 (log.f64 y)) y)))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(.f64 (-.f64 1 (.f64 y (/.f64 (log.f64 y) y))) y)
(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(-.f64 (-.f64 (+.f64 x y) z) (*.f64 (+.f64 y 1/2) (log.f64 y)))
(.f64 (neg.f64 y) (-.f64 -1 (.f64 (neg.f64 y) (/.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))))
(-.f64 (-.f64 (+.f64 y x) (.f64 (log.f64 y) (+.f64 1/2 (.f64 (+.f64 y (+.f64 y 1)) (*.f64 y (/.f64 1/2 (+.f64 y 1/2))))))) z)
(-.f64 (.f64 (-.f64 1 (log.f64 y)) y) (.f64 1/2 (log.f64 y)))
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (.f64 1/2 (log.f64 y)))

Outputs
(-.f64 (-.f64 (+.f64 x y) z) (*.f64 (+.f64 y 1/2) (log.f64 y)))

Calls

5 calls:

12.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
12.0ms	z
12.0ms	y
11.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
11.0ms	x

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)`
0.1b	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)`

Compiler

Compiled 259 to 146 computations (43.6% saved)

regimes55.0ms (0.6%)

Counts

19 → 1

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 y z)
(neg.f64 (*.f64 1/2 (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(neg.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 (log.f64 y) 1/2) z))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 y (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))
(.f64 y (.f64 y (/.f64 (-.f64 1 (log.f64 y)) y)))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(.f64 (-.f64 1 (.f64 y (/.f64 (log.f64 y) y))) y)
(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)

Outputs
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)

Calls

5 calls:

14.0ms	z
10.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
10.0ms	x
9.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
9.0ms	y

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`y`
0.1b	1	`z`
0.1b	1	`(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)`
0.1b	1	`(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)`

Compiler

Compiled 184 to 105 computations (42.9% saved)

regimes208.0ms (2.1%)

Counts

18 → 3

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 y z)
(neg.f64 (*.f64 1/2 (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(neg.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 (log.f64 y) 1/2) z))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 y (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))
(.f64 y (.f64 y (/.f64 (-.f64 1 (log.f64 y)) y)))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(.f64 (-.f64 1 (.f64 y (/.f64 (log.f64 y) y))) y)
(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 (-.f64 y z) (*.f64 (log.f64 y) (+.f64 1/2 y)))

Outputs
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))
(-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))

Calls

3 calls:

87.0ms	y
84.0ms	x
33.0ms	z

Results

Error	Segments	Branch
5.5b	3	`x`
3.8b	3	`y`
4.3b	3	`z`

Compiler

Compiled 144 to 80 computations (44.4% saved)

bsearch33.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
14.0ms	3.4152373161414166e+53	6.07017477534544e+55
18.0ms	267559753.70208117	94236138175.75333

Results

29.0ms

240×

body

256

valid

Compiler

Compiled 425 to 307 computations (27.8% saved)

regimes115.0ms (1.2%)

Counts

16 → 2

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 y z)
(neg.f64 (*.f64 1/2 (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(neg.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 (log.f64 y) 1/2) z))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 y (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))
(.f64 y (.f64 y (/.f64 (-.f64 1 (log.f64 y)) y)))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(.f64 (-.f64 1 (.f64 y (/.f64 (log.f64 y) y))) y)
(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))

Outputs
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 y (+.f64 (*.f64 (+.f64 1/2 y) (log.f64 y)) z))

Calls

3 calls:

56.0ms	z
32.0ms	y
23.0ms	x

Results

Error	Segments	Branch
5.5b	3	`x`
4.8b	2	`y`
12.9b	6	`z`

Compiler

Compiled 124 to 71 computations (42.7% saved)

bsearch16.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
16.0ms	267559753.70208117	94236138175.75333

Results

14.0ms

128×

body

256

valid

Compiler

Compiled 229 to 167 computations (27.1% saved)

regimes201.0ms (2%)

Counts

15 → 2

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 y z)
(neg.f64 (*.f64 1/2 (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(neg.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (+.f64 (*.f64 (log.f64 y) 1/2) z))
(-.f64 y (*.f64 (+.f64 1/2 y) (log.f64 y)))
(-.f64 y (*.f64 (log.f64 (/.f64 1 y)) (neg.f64 y)))
(.f64 y (.f64 y (/.f64 (-.f64 1 (log.f64 y)) y)))
(.f64 y (-.f64 1 (.f64 -1 (log.f64 (/.f64 1 y)))))
(.f64 (-.f64 1 (.f64 y (/.f64 (log.f64 y) y))) y)

Outputs
(-.f64 x (+.f64 (*.f64 1/2 (log.f64 y)) z))
(*.f64 (-.f64 1 (log.f64 y)) y)

Calls

3 calls:

66.0ms	x
63.0ms	z
16.0ms	y

Results

Error	Segments	Branch
14.2b	5	`x`
8.6b	2	`y`
13.8b	7	`z`

Compiler

Compiled 114 to 66 computations (42.1% saved)

bsearch6.0ms (0.1%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
6.0ms	3.0970163326398333e+94	3.8733352465658516e+94

Results

5.0ms

48×

body

256

valid

Compiler

Compiled 87 to 66 computations (24.1% saved)

regimes158.0ms (1.6%)

Counts

8 → 6

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 y z)
(neg.f64 (*.f64 1/2 (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))
(neg.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z))

Outputs
(-.f64 x (*.f64 1/2 (log.f64 y)))
(neg.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(neg.f64 (+.f64 (*.f64 1/2 (log.f64 y)) z))
(-.f64 x (*.f64 1/2 (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)

Calls

3 calls:

98.0ms	x
29.0ms	z
28.0ms	y

Results

Error	Segments	Branch
21.8b	9	`x`
16.6b	6	`y`
21.8b	6	`z`

Compiler

Compiled 51 to 30 computations (41.2% saved)

bsearch248.0ms (2.5%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
6.0ms	3.0970163326398333e+94	3.8733352465658516e+94
16.0ms	3.4152373161414166e+53	6.07017477534544e+55
199.0ms	267559753.70208117	94236138175.75333
12.0ms	3.4766078720324775e-99	2.8533599558351156e-98
14.0ms	9.141830279730812e-249	1.9845484376312498e-246

Results

58.0ms

496×

body

256

valid

Compiler

Compiled 669 to 539 computations (19.4% saved)

regimes130.0ms (1.3%)

Counts

7 → 6

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 y z)
(neg.f64 (*.f64 1/2 (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 y (*.f64 y (log.f64 y)))

Outputs
(-.f64 x (*.f64 1/2 (log.f64 y)))
(-.f64 y z)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(neg.f64 z)
(-.f64 x (*.f64 1/2 (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)

Calls

3 calls:

80.0ms	z
27.0ms	y
21.0ms	x

Results

Error	Segments	Branch
27.2b	5	`x`
19.1b	6	`y`
21.8b	6	`z`

Compiler

Compiled 44 to 26 computations (40.9% saved)

bsearch63.0ms (0.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
6.0ms	3.0970163326398333e+94	3.8733352465658516e+94
14.0ms	3.4152373161414166e+53	6.07017477534544e+55
17.0ms	267559753.70208117	94236138175.75333
18.0ms	1.2381510968378568e-119	7.275568625770331e-112
8.0ms	2.4840484027217502e-138	4.275417998448024e-138

Results

57.0ms

496×

body

256

valid

Compiler

Compiled 542 to 427 computations (21.2% saved)

regimes113.0ms (1.2%)

Counts

5 → 6

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 y z)
(neg.f64 (*.f64 1/2 (log.f64 y)))
(*.f64 (-.f64 1 (log.f64 y)) y)

Outputs
x
(-.f64 y z)
x
(neg.f64 z)
x
(*.f64 (-.f64 1 (log.f64 y)) y)

Calls

3 calls:

70.0ms	z
22.0ms	y
20.0ms	x

Results

Error	Segments	Branch
27.2b	5	`x`
23.5b	6	`y`
25.5b	6	`z`

Compiler

Compiled 32 to 21 computations (34.4% saved)

bsearch103.0ms (1%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
18.0ms	2.444821162124208e+63	9.281812013540005e+68
41.0ms	3.4152373161414166e+53	6.07017477534544e+55
15.0ms	267559753.70208117	94236138175.75333
12.0ms	3.4766078720324775e-99	2.8533599558351156e-98
17.0ms	1.7335649129621593e-267	2.4500619928442466e-264

Results

96.0ms

608×

body

256

valid

Compiler

Compiled 489 to 384 computations (21.5% saved)

regimes48.0ms (0.5%)

Counts

4 → 5

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 y z)
(neg.f64 (*.f64 1/2 (log.f64 y)))

Outputs
(neg.f64 z)
x
(neg.f64 (*.f64 1/2 (log.f64 y)))
x
(neg.f64 z)

Calls

3 calls:

20.0ms	y
16.0ms	z
10.0ms	x

Results

Error	Segments	Branch
34.4b	3	`x`
39.1b	6	`y`
32.4b	5	`z`

Compiler

Compiled 26 to 18 computations (30.8% saved)

bsearch73.0ms (0.7%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
20.0ms	1.0896413897448764e+168	3.260519183305616e+179
23.0ms	8.77818413553358e-31	4.441529167152471e-21
20.0ms	2.427413117237022e-119	2.0137018624789172e-109
10.0ms	-1.266815208986019e+96	-5.017214208172866e+95

Results

67.0ms

560×

body

256

valid

Compiler

Compiled 466 to 390 computations (16.3% saved)

regimes46.0ms (0.5%)

Accuracy

Total -29.3b remaining (-87.5%)

Threshold costs -29.3b (-87.5%)

Counts

3 → 3

Calls

Call 1

Inputs
x
(neg.f64 z)
(-.f64 y z)

Outputs
(neg.f64 z)
x
(neg.f64 z)

Calls

3 calls:

19.0ms	y
16.0ms	z
10.0ms	x

Results

Error	Segments	Branch
34.4b	3	`x`
39.1b	6	`y`
33.5b	3	`z`

Compiler

Compiled 21 to 14 computations (33.3% saved)

bsearch31.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.0896413897448764e+168	3.260519183305616e+179
11.0ms	-1.266815208986019e+96	-5.017214208172866e+95

Results

28.0ms

240×

body

256

valid

Compiler

Compiled 186 to 150 computations (19.4% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	110	774

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))
(-.f64 (-.f64 (+.f64 x y) z) (*.f64 (+.f64 y 1/2) (log.f64 y)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(if (<=.f64 y 4700000000) (-.f64 x (+.f64 (.f64 1/2 (log.f64 y)) z)) (if (<=.f64 y 16000000000000001252664646473539901476885764798177869824) (-.f64 y (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))))
(if (<=.f64 y 13800000000) (-.f64 x (+.f64 (.f64 1/2 (log.f64 y)) z)) (-.f64 y (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)))
(if (<=.f64 y 34999999999999997002313913856339891045891851034489469635182680666782090912293062574334275485696) (-.f64 x (+.f64 (.f64 1/2 (log.f64 y)) z)) (.f64 (-.f64 1 (log.f64 y)) y))
(if (<=.f64 y 1525239130966889/984025245785089668542779581465789315325854953445720527559445628946039644175627938424082949548321194750581672402577714396421513631013567628805598203955105649136727087197834782616666551076670067483604388140535333015300386199264902135056251471428268545287733116928) (-.f64 x (.f64 1/2 (log.f64 y))) (if (<=.f64 y 2616539473979321/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (neg.f64 (+.f64 (.f64 1/2 (log.f64 y)) z)) (if (<=.f64 y 18500000000) (-.f64 x (.f64 1/2 (log.f64 y))) (if (<=.f64 y 40000000000000000409402680816342045985217552541298982912) (neg.f64 (+.f64 (.f64 1/2 (log.f64 y)) z)) (if (<=.f64 y 34000000000000002169580632560949499033295883100493383720540216831271355874994661819483785527296) (-.f64 x (.f64 1/2 (log.f64 y))) (.f64 (-.f64 1 (log.f64 y)) y))))))
(if (<=.f64 y 7039099163219863/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512) (-.f64 x (.f64 1/2 (log.f64 y))) (if (<=.f64 y 2439949330826317/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (-.f64 y z) (if (<=.f64 y 54000000000) (-.f64 x (.f64 1/2 (log.f64 y))) (if (<=.f64 y 850000000000000015505454305766037746453365140137967616) (neg.f64 z) (if (<=.f64 y 30999999999999999144646510704187055224150377908439869453415278822248904449886018288831573262336) (-.f64 x (.f64 1/2 (log.f64 y))) (.f64 (-.f64 1 (log.f64 y)) y))))))
(if (<=.f64 y 3557804126729071/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592) x (if (<=.f64 y 1038920085256495/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (-.f64 y z) (if (<=.f64 y 1700000000) x (if (<=.f64 y 47000000000000000617161096727577289417980467208733589504) (neg.f64 z) (if (<=.f64 y 120000000000000003914723800577605532769170469312866435853625461833728) x (*.f64 (-.f64 1 (log.f64 y)) y))))))
(if (<=.f64 z -850000000000000024596740969270791447398224915288230182576389346377799502773725039461333450358784) (neg.f64 z) (if (<=.f64 z 4146143036252439/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) x (if (<=.f64 z 178405961588245/44601490397061246283071436545296723011960832) (neg.f64 (*.f64 1/2 (log.f64 y))) (if (<=.f64 z 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) x (neg.f64 z)))))
(if (<=.f64 z -530000000000000018126699648580888411053874091859635705412300752391238221174312460466550145548288) (neg.f64 z) (if (<=.f64 z 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) x (neg.f64 z)))
x

Outputs
(-.f64 (+.f64 (.f64 (-.f64 1 (log.f64 y)) y) x) (+.f64 (.f64 1/2 (log.f64 y)) z))
(-.f64 (-.f64 (+.f64 x y) z) (*.f64 (+.f64 y 1/2) (log.f64 y)))
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
(if (<=.f64 y 4700000000) (-.f64 x (+.f64 (.f64 1/2 (log.f64 y)) z)) (if (<=.f64 y 16000000000000001252664646473539901476885764798177869824) (-.f64 y (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)) (-.f64 (+.f64 y x) (*.f64 (+.f64 1/2 y) (log.f64 y)))))
(if (<=.f64 y 13800000000) (-.f64 x (+.f64 (.f64 1/2 (log.f64 y)) z)) (-.f64 y (+.f64 (.f64 (+.f64 1/2 y) (log.f64 y)) z)))
(if (<=.f64 y 34999999999999997002313913856339891045891851034489469635182680666782090912293062574334275485696) (-.f64 x (+.f64 (.f64 1/2 (log.f64 y)) z)) (.f64 (-.f64 1 (log.f64 y)) y))
(if (<=.f64 y 1525239130966889/984025245785089668542779581465789315325854953445720527559445628946039644175627938424082949548321194750581672402577714396421513631013567628805598203955105649136727087197834782616666551076670067483604388140535333015300386199264902135056251471428268545287733116928) (-.f64 x (.f64 1/2 (log.f64 y))) (if (<=.f64 y 2616539473979321/153914086704665934422965000391185991426092731525255651046673021110334850669910978950836977558144201721900890587136) (neg.f64 (+.f64 (.f64 1/2 (log.f64 y)) z)) (if (<=.f64 y 18500000000) (-.f64 x (.f64 1/2 (log.f64 y))) (if (<=.f64 y 40000000000000000409402680816342045985217552541298982912) (neg.f64 (+.f64 (.f64 1/2 (log.f64 y)) z)) (if (<=.f64 y 34000000000000002169580632560949499033295883100493383720540216831271355874994661819483785527296) (-.f64 x (.f64 1/2 (log.f64 y))) (.f64 (-.f64 1 (log.f64 y)) y))))))
(if (<=.f64 y 7039099163219863/1675975991242824637446753124775730765934920727574049172215445180465220503759193372100234287270862928461253982273310756356719235351493321243304206125760512) (-.f64 x (.f64 1/2 (log.f64 y))) (if (<=.f64 y 2439949330826317/22181357552966518876627313473144669627491496603006532601363836644916970462445004984319795248833116624779129687691228574631793262592) (-.f64 y z) (if (<=.f64 y 54000000000) (-.f64 x (.f64 1/2 (log.f64 y))) (if (<=.f64 y 850000000000000015505454305766037746453365140137967616) (neg.f64 z) (if (<=.f64 y 30999999999999999144646510704187055224150377908439869453415278822248904449886018288831573262336) (-.f64 x (.f64 1/2 (log.f64 y))) (.f64 (-.f64 1 (log.f64 y)) y))))))
(if (<=.f64 y 3557804126729071/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592) x (if (<=.f64 y 1038920085256495/76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568) (-.f64 y z) (if (<=.f64 y 1700000000) x (if (<=.f64 y 47000000000000000617161096727577289417980467208733589504) (neg.f64 z) (if (<=.f64 y 120000000000000003914723800577605532769170469312866435853625461833728) x (*.f64 (-.f64 1 (log.f64 y)) y))))))
(if (<=.f64 z -850000000000000024596740969270791447398224915288230182576389346377799502773725039461333450358784) (neg.f64 z) (if (<=.f64 z 4146143036252439/42307582002575910332922579714097346549017899709713998034217522897561970639123926132812109468141778230245837569601494931472384) x (if (<=.f64 z 178405961588245/44601490397061246283071436545296723011960832) (neg.f64 (*.f64 1/2 (log.f64 y))) (if (<=.f64 z 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) x (neg.f64 z)))))
(if (<=.f64 z -530000000000000018126699648580888411053874091859635705412300752391238221174312460466550145548288) (neg.f64 z) (if (<=.f64 z 1100000000000000094844143442499735763284457715646441263964934861943387932914082058910312051774767751911434737145961219748491546225864929744530939505276225809664436076544) x (neg.f64 z)))
x

Compiler

Compiled 333 to 215 computations (35.4% saved)

soundness112.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1126×	`rational_best_oopsla_all_46_json_45_simplify-49`
886×	`rational_best_oopsla_all_46_json_45_simplify-10`
848×	`rational_best_oopsla_all_46_json_45_simplify-30`
826×	`rational_best_oopsla_all_46_json_45_simplify-77`
770×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	35
1	22	35
2	57	35
3	183	35
4	724	35
5	3012	35
6	6241	35

Stop Event

1×	node limit

Compiler

Compiled 51 to 27 computations (47.1% saved)

end118.0ms (1.2%)

Compiler: Compiled 300 to 169 computations (43.7% saved)