Details

analyze91.0ms (1.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
16.7%	12.5%	62.5%	0%	0%	25%	0%	4
30%	18.7%	43.7%	0%	0%	37.5%	0%	5
38.9%	21.9%	34.4%	0%	0%	43.7%	0%	6
44.1%	23.4%	29.7%	0%	0%	46.9%	0%	7
47%	24.2%	27.3%	0%	0%	48.4%	0%	8
48.5%	24.6%	26.2%	0%	0%	49.2%	0%	9
49.2%	24.8%	25.6%	0%	0%	49.6%	0%	10
49.6%	24.9%	25.3%	0%	0%	49.8%	0%	11
49.8%	24.9%	25.1%	0%	0%	49.9%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample2.5s (51.3%)

Results

1.3s	8256×	body	256	valid
1.1s	7227×	body	256	infinite
87.0ms	1006×	body	256	invalid

Bogosity

preprocess212.0ms (4.4%)

Algorithm

2×	egg-herbie

Rules

1204×	`rational_best_oopsla_all_46_json_45_simplify-10`
1168×	`rational_best_oopsla_all_46_json_45_simplify-89`
1056×	`rational_best_oopsla_all_46_json_45_simplify-74`
834×	`rational_best_oopsla_all_46_json_45_simplify-72`
806×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	18	27
2	34	27
3	89	27
4	345	27
5	1534	27
6	5206	27
7	7193	27
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify213.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1204×	`rational_best_oopsla_all_46_json_45_simplify-10`
1168×	`rational_best_oopsla_all_46_json_45_simplify-89`
1056×	`rational_best_oopsla_all_46_json_45_simplify-74`
834×	`rational_best_oopsla_all_46_json_45_simplify-72`
806×	`rational_best_oopsla_all_46_json_45_simplify-30`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	18	27
2	34	27
3	89	27
4	345	27
5	1534	27
6	5206	27
7	7193	27

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Outputs
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))

eval1.0ms (0%)

Compiler: Compiled 19 to 12 computations (36.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

34.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.5b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))

Compiler

Compiled 10 to 7 computations (30% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x x) 1)
✓	0.0b	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
✓	0.2b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	32.1b	(sqrt.f64 (-.f64 (*.f64 x x) 1))

Compiler

Compiled 34 to 17 computations (50% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms	x	@	0	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
1.0ms	x	@	0	(sqrt.f64 (-.f64 (*.f64 x x) 1))
0.0ms	x	@	inf	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
0.0ms	x	@	inf	(sqrt.f64 (-.f64 (*.f64 x x) 1))

rewrite93.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1158×	`rational_best_oopsla_all_46_json-2`
1158×	`rational_best_oopsla_all_46_json-1`
1158×	`rational_best_oopsla_all_46_json-4`
1158×	`rational_best_oopsla_all_46_json-3`
1138×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	80
1	59	80
2	153	80
3	522	80
4	2356	80

Stop Event

1×	node limit

Counts

4 → 170

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (*.f64 x x) 1))
(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))
(-.f64 (*.f64 x x) 1)

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

simplify90.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational_best_oopsla_all_46_json_45_simplify-89`
1330×	`rational_best_oopsla_all_46_json_45_simplify-37`
1140×	`rational_best_oopsla_all_46_json_45_simplify-24`
1134×	`rational_best_oopsla_all_46_json_45_simplify-74`
716×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	404	5126
1	1567	5110

Stop Event

1×	node limit

Counts

218 → 255

Calls

Call 1

Inputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 -1 x))))
(log.f64 (sqrt.f64 -1))
(+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))
(+.f64 (*.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1))))
(+.f64 (.f64 3/40 (/.f64 (pow.f64 x 5) (pow.f64 (sqrt.f64 -1) 5))) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (/.f64 x (sqrt.f64 -1)) (log.f64 (sqrt.f64 -1)))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1/2) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (/.f64 -1 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 3/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 5/96 (/.f64 1 (pow.f64 x 6))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))))
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) x)
(+.f64 (sqrt.f64 -1) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) x)))
(*.f64 2 x)
(-.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
(-.f64 (.f64 2 x) (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))))
(/.f64 1/2 x)
(+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (*.f64 1/2 (/.f64 1 x))))
(+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 5/128 (/.f64 1 (pow.f64 x 7))))))
-1
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(pow.f64 x 2)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(+.f64 0 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(-.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)) 0)
(-.f64 0 (neg.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1)))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) 1)
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 1 (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1))))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1)))) (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1)))) (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1))))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(.f64 -1 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) -1))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (sqrt.f64 (+.f64 (.f64 x x) -1)))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))))))
(.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))))) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))))))
(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1)))) (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 1 (sqrt.f64 (+.f64 (.f64 x x) -1)))))))
(.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) -1))) -1)
(.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) -1))) (neg.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) -1))) (.f64 -1 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(.f64 (neg.f64 (sqrt.f64 (+.f64 (.f64 x x) -1))) (.f64 (neg.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(.f64 (.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1)))) (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(.f64 (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1)))) (sqrt.f64 (+.f64 (.f64 x x) -1)))
(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))) (sqrt.f64 (+.f64 (.f64 x x) -1)))) (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(.f64 (.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (/.f64 1 (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (.f64 x x) -1))))) (/.f64 (sqrt.f64 (+.f64 (.f64 x x) -1)) (sqrt.f64 (+.f64 (*.f64 x x) -1))))
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(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (.f64 (.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (.f64 (.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))
(.f64 -1 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))
(.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))
(.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))))
(.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))))
(.f64 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) -1)
(.f64 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (neg.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))))
(.f64 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 -1 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(.f64 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (neg.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(.f64 (.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(.f64 (.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))
(.f64 (.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))
(.f64 (/.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))
(.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 1 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(.f64 (neg.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))))
(.f64 (neg.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (.f64 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))) 1)
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1)))) (/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1))))))
(/.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))))) (.f64 (+.f64 x (sqrt.f64 (+.f64 (.f64 x x) -1))) (/.f64 1 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))))
(neg.f64 (neg.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) -1)))))
(+.f64 (*.f64 x x) -1)
(+.f64 (+.f64 (*.f64 x x) -1) 0)
(+.f64 0 (+.f64 (*.f64 x x) -1))
(+.f64 -1 (*.f64 x x))
(+.f64 (.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (.f64 -1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(+.f64 (.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (+.f64 0 (.f64 -1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (+.f64 0 (.f64 (.f64 x x) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(.f64 1 (+.f64 (.f64 x x) -1))
(.f64 (+.f64 (.f64 x x) -1) 1)
(.f64 (+.f64 (.f64 x x) -1) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))
(.f64 (+.f64 (.f64 x x) -1) (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (+.f64 (*.f64 x x) -1))))
(.f64 (+.f64 (.f64 x x) -1) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(.f64 (+.f64 (.f64 x x) -1) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))))
(.f64 (+.f64 (.f64 x x) -1) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(.f64 (+.f64 (.f64 x x) -1) (.f64 (+.f64 (.f64 x x) -1) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (+.f64 (*.f64 x x) -1))))
(.f64 (+.f64 (.f64 x x) -1) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (+.f64 (.f64 x x) -1)))))
(.f64 (+.f64 (.f64 x x) -1) (.f64 (+.f64 (.f64 x x) -1) (/.f64 (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (+.f64 (.f64 x x) -1))) (+.f64 (.f64 x x) -1))))
(.f64 (+.f64 (.f64 x x) -1) (.f64 (+.f64 (.f64 x x) -1) (/.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (+.f64 (.f64 x x) -1))))
(.f64 (+.f64 (.f64 x x) -1) (.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (+.f64 (.f64 x x) -1)))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(.f64 (+.f64 (.f64 x x) -1) (.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(.f64 (+.f64 (.f64 x x) -1) (.f64 (.f64 (+.f64 (.f64 x x) -1) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(.f64 -1 (-.f64 1 (.f64 x x)))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (+.f64 (.f64 x x) -1))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (/.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))))
(.f64 (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (+.f64 (.f64 x x) -1))) (+.f64 (*.f64 x x) -1))
(.f64 (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (+.f64 (.f64 x x) -1))) (.f64 (+.f64 (.f64 x x) -1) (/.f64 (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (+.f64 (.f64 x x) -1))) (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (+.f64 (.f64 x x) -1))))))
(.f64 (-.f64 1 (.f64 x x)) -1)
(.f64 (-.f64 1 (.f64 x x)) (.f64 -1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(.f64 (-.f64 1 (.f64 x x)) (neg.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(.f64 (-.f64 1 (.f64 x x)) (.f64 (neg.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (+.f64 (*.f64 x x) -1))
(.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))) (+.f64 (.f64 x x) -1))
(.f64 (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (+.f64 (.f64 x x) -1))
(.f64 (.f64 (+.f64 (.f64 x x) -1) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (+.f64 (.f64 x x) -1))) (+.f64 (*.f64 x x) -1))
(.f64 (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(.f64 (neg.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (-.f64 1 (.f64 x x)))
(.f64 (neg.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (.f64 (-.f64 1 (.f64 x x)) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (+.f64 (.f64 x x) -1)))) (+.f64 (.f64 x x) -1))
(/.f64 (+.f64 (*.f64 x x) -1) 1)
(/.f64 (+.f64 (.f64 x x) -1) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))
(/.f64 (+.f64 (.f64 x x) -1) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(/.f64 (+.f64 (.f64 x x) -1) (/.f64 (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (+.f64 (.f64 x x) -1))) (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (+.f64 (*.f64 x x) -1)))))
(neg.f64 (-.f64 1 (*.f64 x x)))

Outputs
(sqrt.f64 -1)
(+.f64 (sqrt.f64 -1) (*.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))))
(+.f64 (+.f64 (sqrt.f64 -1) (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1)))) (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 -1)))
(+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
(+.f64 (sqrt.f64 -1) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (sqrt.f64 -1))) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 4) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 1/16 (/.f64 (pow.f64 x 6) (pow.f64 (sqrt.f64 -1) 5))))))
x
(-.f64 x (*.f64 1/2 (/.f64 1 x)))
(-.f64 x (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3)))))
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(.f64 (+.f64 (.f64 x x) -1) (.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(+.f64 -1 (*.f64 x x))
(.f64 (+.f64 (.f64 x x) -1) (.f64 (.f64 (+.f64 (.f64 x x) -1) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))))
(+.f64 -1 (*.f64 x x))
(.f64 -1 (-.f64 1 (.f64 x x)))
(+.f64 -1 (*.f64 x x))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (+.f64 (.f64 x x) -1))
(+.f64 -1 (*.f64 x x))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1)))))
(+.f64 -1 (*.f64 x x))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (+.f64 (.f64 x x) -1) (/.f64 (.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1))) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))))
(+.f64 -1 (*.f64 x x))
(.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (.f64 (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)))))
(+.f64 -1 (*.f64 x x))
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(+.f64 -1 (*.f64 x x))
(.f64 (-.f64 1 (.f64 x x)) (.f64 -1 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(+.f64 -1 (*.f64 x x))
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(+.f64 -1 (*.f64 x x))
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(+.f64 -1 (*.f64 x x))
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(+.f64 -1 (*.f64 x x))
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(/.f64 (+.f64 (*.f64 x x) -1) 1)
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(+.f64 -1 (*.f64 x x))
(/.f64 (+.f64 (.f64 x x) -1) (/.f64 (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (.f64 x x) -1)) (/.f64 (+.f64 (.f64 x x) -1) (+.f64 (*.f64 x x) -1))))
(+.f64 -1 (*.f64 x x))
(/.f64 (+.f64 (.f64 x x) -1) (/.f64 (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (+.f64 (.f64 x x) -1))) (.f64 (+.f64 (.f64 x x) -1) (/.f64 1 (+.f64 (*.f64 x x) -1)))))
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(neg.f64 (-.f64 1 (*.f64 x x)))
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eval108.0ms (2.2%)

Compiler: Compiled 7848 to 4948 computations (37% saved)

prune38.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	251	4	255
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	251	5	256

Error

0.0b

Counts

256 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
▶	63.0b	(log.f64 (/.f64 1/2 x))
▶	0.5b	(log.f64 (-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))
✓	34.5b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
▶	0.7b	(log.f64 (+.f64 x x))

Compiler

Compiled 40 to 31 computations (22.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (+.f64 x x))

Compiler

Compiled 9 to 3 computations (66.7% saved)

series41.0ms (0.8%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
21.0ms	x	@	0	(log.f64 (+.f64 x x))
13.0ms	x	@	-inf	(log.f64 (+.f64 x x))
6.0ms	x	@	inf	(log.f64 (+.f64 x x))

rewrite89.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`rational_best_oopsla_all_46_json_45_simplify-23`
968×	`rational_best_oopsla_all_46_json_45_simplify-35`
890×	`rational_best_oopsla_all_46_json_45_simplify-37`
872×	`rational_best_oopsla_all_46_json_45_simplify-13`
618×	`rational_best_oopsla_all_46_json_45_simplify-87`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	32	11
2	76	11
3	256	11
4	1138	11
5	6571	11

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(log.f64 (+.f64 x x))

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

Outputs

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

simplify68.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1754×	`rational_best_oopsla_all_46_json_45_simplify-89`
1434×	`rational_best_oopsla_all_46_json_45_simplify-74`
1108×	`rational_best_oopsla_all_46_json_45_simplify-49`
1040×	`rational_best_oopsla_all_46_json_45_simplify-72`
992×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	111	870
1	405	854
2	2407	854

Stop Event

1×	node limit

Counts

66 → 60

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/2 (/.f64 1 x))
✓	0.2b	(log.f64 (-.f64 (.f64 x 2) (.f64 1/2 (/.f64 1 x))))

Compiler

Compiled 35 to 27 computations (22.9% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite72.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1386×	`rational_best_oopsla_all_46_json-2`
1386×	`rational_best_oopsla_all_46_json-1`
1386×	`rational_best_oopsla_all_46_json-4`
1386×	`rational_best_oopsla_all_46_json-3`
1098×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	42
1	68	42
2	165	42
3	600	42
4	2931	42

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

Outputs

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

simplify71.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1644×	`rational_best_oopsla_all_46_json_45_simplify-37`
1156×	`rational_best_oopsla_all_46_json_45_simplify-13`
980×	`rational_best_oopsla_all_46_json_45_simplify-7`
890×	`rational_best_oopsla_all_46_json_45_simplify-72`
650×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	154	2115
1	455	2091
2	2519	2091

Stop Event

1×	node limit

Counts

75 → 94

Calls

Call 1

Inputs
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(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(/.f64 1/2 x)
(/.f64 1/2 x)
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(/.f64 1/2 x)
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(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
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(/.f64 1/2 x)
(+.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) 0)
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(+.f64 0 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))
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(-.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) 0)
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(.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) 1)
(.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))
(.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 1 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))))
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(.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 1 (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 1 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))))
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(.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))))
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(.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (.f64 (.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))))
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(.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))))))
(.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 (.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))))
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(.f64 (neg.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) -1)
(.f64 (neg.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (neg.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))))
(.f64 -1 (neg.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))
(.f64 -1 (.f64 1 (neg.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))))
(.f64 -1 (.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (neg.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))))
(.f64 (.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))) (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))
(.f64 (neg.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))) (neg.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))
(/.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) 1)
(/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))))
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(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 0 (/.f64 (/.f64 1 x) (/.f64 1 x))))
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(-.f64 (*.f64 1/2 (/.f64 1 x)) 0)
(-.f64 (.f64 1/2 (/.f64 1 x)) (-.f64 0 (.f64 0 (/.f64 (/.f64 1 x) (/.f64 1 x)))))
(-.f64 0 (*.f64 (/.f64 1 x) -1/2))
(-.f64 (.f64 0 (/.f64 (/.f64 1 x) (/.f64 1 x))) (.f64 (/.f64 1 x) -1/2))
(/.f64 (*.f64 1/2 (/.f64 1 x)) 1)
(/.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (/.f64 1 x) (/.f64 1 x)))
(/.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (/.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 (/.f64 1 x) (/.f64 1 x))))
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(/.f64 (*.f64 (/.f64 1 x) -1/2) -1)
(neg.f64 (*.f64 (/.f64 1 x) -1/2))

Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
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(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -1 (log.f64 x)) (*.f64 -4 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (neg.f64 (log.f64 x)) (.f64 -8 (pow.f64 x 4)))))
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(+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6))))))
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(/.f64 1/2 x)
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(/.f64 1/2 x)
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(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(/.f64 1/2 x)
(+.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) 0)
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(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
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(.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
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(.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 1 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x)))))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (/.f64 (.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
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(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
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(.f64 (neg.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) -1)
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
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(.f64 (neg.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (neg.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
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(.f64 -1 (neg.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(.f64 -1 (.f64 1 (neg.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
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(.f64 -1 (.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (neg.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(.f64 (.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))) (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))) (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))))
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(.f64 (neg.f64 (/.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))) (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x))))))) (neg.f64 (log.f64 (+.f64 x (-.f64 x (.f64 1/2 (/.f64 1 x)))))))
(log.f64 (-.f64 (+.f64 x x) (*.f64 (/.f64 1 x) 1/2)))
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(/.f64 (log.f64 (+.f64 x (-.f64 x (*.f64 1/2 (/.f64 1 x))))) 1)
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(log.f64 (+.f64 x (-.f64 x (*.f64 (/.f64 1 x) 1/2))))
(+.f64 (*.f64 1/2 (/.f64 1 x)) 0)
(*.f64 (/.f64 1 x) 1/2)
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(*.f64 (/.f64 1 x) 1/2)
(+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 0 (*.f64 1/2 (/.f64 (/.f64 1 x) (/.f64 1 x)))))
(*.f64 (/.f64 1 x) 1/2)
(+.f64 0 (*.f64 1/2 (/.f64 1 x)))
(*.f64 (/.f64 1 x) 1/2)
(+.f64 (.f64 0 (/.f64 (/.f64 1 x) (/.f64 1 x))) (.f64 1/2 (/.f64 1 x)))
(*.f64 (/.f64 1 x) 1/2)
(+.f64 (.f64 0 (.f64 1/2 (/.f64 (/.f64 1 x) (/.f64 1 x)))) (*.f64 1/2 (/.f64 1 x)))
(*.f64 (/.f64 1 x) 1/2)
(-.f64 (*.f64 1/2 (/.f64 1 x)) 0)
(*.f64 (/.f64 1 x) 1/2)
(-.f64 (.f64 1/2 (/.f64 1 x)) (-.f64 0 (.f64 0 (/.f64 (/.f64 1 x) (/.f64 1 x)))))
(*.f64 (/.f64 1 x) 1/2)
(-.f64 0 (*.f64 (/.f64 1 x) -1/2))
(neg.f64 (*.f64 -1/2 (/.f64 1 x)))
(-.f64 (.f64 0 (/.f64 (/.f64 1 x) (/.f64 1 x))) (.f64 (/.f64 1 x) -1/2))
(neg.f64 (*.f64 -1/2 (/.f64 1 x)))
(/.f64 (*.f64 1/2 (/.f64 1 x)) 1)
(*.f64 (/.f64 1 x) 1/2)
(/.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 (/.f64 1 x) 1/2)
(/.f64 (*.f64 1/2 (/.f64 1 x)) (/.f64 (/.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 (/.f64 1 x) (/.f64 1 x))))
(/.f64 (*.f64 (/.f64 1 x) 1/2) (/.f64 (/.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 (/.f64 1 x) (/.f64 1 x))))
(/.f64 (.f64 1/2 (/.f64 1 x)) (/.f64 (.f64 1/2 (/.f64 (/.f64 1 x) (/.f64 1 x))) (*.f64 1/2 (/.f64 (/.f64 1 x) (/.f64 1 x)))))
(/.f64 (*.f64 (/.f64 1 x) 1/2) (/.f64 (/.f64 (/.f64 1 x) (/.f64 1 x)) (/.f64 (/.f64 1 x) (/.f64 1 x))))
(/.f64 (*.f64 (/.f64 1 x) -1/2) -1)
(neg.f64 (*.f64 -1/2 (/.f64 1 x)))
(neg.f64 (*.f64 (/.f64 1 x) -1/2))
(neg.f64 (*.f64 -1/2 (/.f64 1 x)))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 1/2 x))

Compiler

Compiled 10 to 7 computations (30% saved)

series44.0ms (0.9%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
25.0ms	x	@	-inf	(log.f64 (/.f64 1/2 x))
9.0ms	x	@	inf	(log.f64 (/.f64 1/2 x))
9.0ms	x	@	0	(log.f64 (/.f64 1/2 x))

rewrite86.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`rational_best_oopsla_all_46_json_45_simplify-35`
912×	`rational_best_oopsla_all_46_json_45_simplify-23`
852×	`rational_best_oopsla_all_46_json_45_simplify-13`
840×	`rational_best_oopsla_all_46_json_45_simplify-37`
624×	`rational_best_oopsla_all_46_json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	37	11
2	81	11
3	249	11
4	1146	11
5	6532	11

Stop Event

1×	node limit

Counts

1 → 54

Calls

Call 1

Inputs
(log.f64 (/.f64 1/2 x))

Outputs

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simplify70.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1738×	`rational_best_oopsla_all_46_json_45_simplify-89`
1420×	`rational_best_oopsla_all_46_json_45_simplify-74`
1090×	`rational_best_oopsla_all_46_json_45_simplify-49`
1042×	`rational_best_oopsla_all_46_json_45_simplify-72`
980×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	110	846
1	400	838
2	2399	838

Stop Event

1×	node limit

Counts

66 → 60

Calls

Call 1

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

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

localize17.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (/.f64 1 x))
✓	0.2b	(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))

Compiler

Compiled 26 to 21 computations (19.2% saved)

series33.0ms (0.7%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	x	@	0	(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
9.0ms	x	@	-inf	(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
5.0ms	x	@	inf	(+.f64 (log.f64 2) (neg.f64 (log.f64 (/.f64 1 x))))
4.0ms	x	@	0	(log.f64 (/.f64 1 x))
0.0ms	x	@	-inf	(log.f64 (/.f64 1 x))

rewrite73.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1638×	`rational_best_oopsla_all_46_json_45_simplify-13`
1602×	`rational_best_oopsla_all_46_json_45_simplify-23`
1006×	`rational_best_oopsla_all_46_json-2`
1006×	`rational_best_oopsla_all_46_json-1`
1006×	`rational_best_oopsla_all_46_json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	61	32
2	128	32
3	401	32
4	1861	32

Stop Event

1×	node limit

Counts

2 → 118

Calls

Call 1

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

Outputs

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simplify124.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1702×	`rational_best_oopsla_all_46_json_45_simplify-36`
988×	`rational_best_oopsla_all_46_json_45_simplify-89`
984×	`rational_best_oopsla_all_46_json_45_simplify-23`
894×	`rational_best_oopsla_all_46_json_45_simplify-13`
820×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	245	2288
1	1020	2272
2	6253	2272

Stop Event

1×	node limit

Counts

138 → 125

Calls

Call 1

Inputs
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Outputs
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(.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))) (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))))) (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (/.f64 -1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(.f64 (.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))) (neg.f64 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x)))))) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(.f64 (.f64 -1 (*.f64 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))) (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))))) (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(.f64 (.f64 -1 (*.f64 (log.f64 (/.f64 1 x)) (/.f64 1 (log.f64 (/.f64 1 x))))) (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))) (*.f64 (log.f64 (/.f64 1 x)) (/.f64 1 (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(.f64 (.f64 (log.f64 (/.f64 1 x)) (/.f64 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))) (log.f64 (/.f64 1 x)))) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(.f64 (.f64 (log.f64 (/.f64 1 x)) (/.f64 1 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(.f64 (.f64 (neg.f64 (log.f64 (/.f64 1 x))) (/.f64 -1 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(.f64 (.f64 (log.f64 (/.f64 1 x)) (/.f64 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))) (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))))) (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))) (*.f64 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))) (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))))) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 1 x))
(/.f64 (log.f64 (/.f64 1 x)) 1)
(log.f64 (/.f64 1 x))
(/.f64 (log.f64 (/.f64 1 x)) (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))
(/.f64 (log.f64 (/.f64 1 x)) (/.f64 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))) (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x)))))
(log.f64 (/.f64 1 x))
(/.f64 (log.f64 (/.f64 1 x)) (/.f64 (.f64 (log.f64 (/.f64 1 x)) (/.f64 1 (log.f64 (/.f64 1 x)))) (.f64 (log.f64 (/.f64 1 x)) (/.f64 1 (log.f64 (/.f64 1 x))))))
(log.f64 (/.f64 1 x))
(/.f64 (log.f64 (/.f64 1 x)) (/.f64 (.f64 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))) (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x)))) (.f64 (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))) (/.f64 (log.f64 (/.f64 1 x)) (log.f64 (/.f64 1 x))))))
(log.f64 (/.f64 1 x))
(/.f64 (neg.f64 (log.f64 (/.f64 1 x))) -1)
(log.f64 (/.f64 1 x))
(neg.f64 (neg.f64 (log.f64 (/.f64 1 x))))
(log.f64 (/.f64 1 x))

eval146.0ms (3%)

Compiler: Compiled 8688 to 6354 computations (26.9% saved)

prune43.0ms (0.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	337	2	339
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	339	5	344

Error

0.0b

Counts

344 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(+.f64 (log.f64 2) (log.f64 x))
✓	63.0b	(log.f64 (/.f64 1/2 x))
▶	0.5b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	34.5b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.7b	(log.f64 (+.f64 x x))

Compiler

Compiled 35 to 26 computations (25.7% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))

Compiler

Compiled 25 to 18 computations (28% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite108.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1224×	`rational_best_oopsla_all_46_json-2`
1224×	`rational_best_oopsla_all_46_json-1`
1224×	`rational_best_oopsla_all_46_json-4`
1224×	`rational_best_oopsla_all_46_json-3`
928×	`rational_best_oopsla_all_46_json_45_simplify-72`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	57	23
2	144	23
3	516	23
4	2467	23
5	7682	23

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify64.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1624×	`rational_best_oopsla_all_46_json_45_simplify-37`
1484×	`rational_best_oopsla_all_46_json_45_simplify-89`
1320×	`rational_best_oopsla_all_46_json_45_simplify-74`
1140×	`rational_best_oopsla_all_46_json_45_simplify-13`
1000×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	131	1524
1	390	1500
2	2157	1500

Stop Event

1×	node limit

Counts

48 → 76

Calls

Call 1

Inputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)
(+.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (*.f64 0 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(+.f64 0 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(+.f64 (*.f64 0 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)
(-.f64 0 (neg.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(-.f64 (+.f64 0 (*.f64 0 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))) (neg.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (.f64 1 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))))
(.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))))
(.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (*.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))))
(.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (.f64 (*.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (*.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(*.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(*.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 1 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))))
(.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))))
(.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (*.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))))
(.f64 (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 1 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(*.f64 (neg.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) -1)
(*.f64 (neg.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (neg.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(*.f64 -1 (neg.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(.f64 -1 (.f64 1 (neg.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(.f64 -1 (.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (neg.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(.f64 (.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
(*.f64 (neg.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))) (neg.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
(/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))))
(neg.f64 (neg.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))

Outputs
(+.f64 (log.f64 -1/2) (*.f64 -1 (log.f64 x)))
(+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x)))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -1 (log.f64 x))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (*.f64 -4 (pow.f64 x 2))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -1 (log.f64 x)))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -1 (log.f64 x)) (*.f64 -4 (pow.f64 x 2)))))
(+.f64 (log.f64 -1/2) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (.f64 -8 (pow.f64 x 4)) (.f64 -4 (pow.f64 x 2)))))
(+.f64 (+.f64 (log.f64 -1/2) (neg.f64 (log.f64 x))) (+.f64 (.f64 -4 (pow.f64 x 2)) (.f64 -8 (pow.f64 x 4))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (.f64 -1 (log.f64 x))))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (.f64 -8 (pow.f64 x 4)) (+.f64 (.f64 -1 (log.f64 x)) (.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 -1/2) (+.f64 (.f64 -64/3 (pow.f64 x 6)) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -4 (pow.f64 x 2))))))
(+.f64 (.f64 -4 (pow.f64 x 2)) (+.f64 (neg.f64 (log.f64 x)) (+.f64 (log.f64 -1/2) (+.f64 (.f64 -8 (pow.f64 x 4)) (*.f64 -64/3 (pow.f64 x 6))))))
(+.f64 (log.f64 2) (*.f64 -1 (log.f64 (/.f64 1 x))))
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(-.f64 (+.f64 (log.f64 2) (.f64 -1 (log.f64 (/.f64 1 x)))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 2) (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (log.f64 2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/192 (/.f64 1 (pow.f64 x 6))) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 2) (-.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/192 (/.f64 1 (pow.f64 x 6)))))))
(+.f64 (log.f64 2) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/192 (/.f64 1 (pow.f64 x 6)))))))
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(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2))
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(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (.f64 1/4 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 -2) (-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (log.f64 -2) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -2)) (+.f64 (.f64 1/32 (/.f64 1 (pow.f64 x 4))) (*.f64 1/4 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (log.f64 -2) (-.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (*.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (log.f64 -2) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 x 2))) (.f64 1/32 (/.f64 1 (pow.f64 x 4))))))
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(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
(log.f64 (+.f64 x (-.f64 x (/.f64 1/2 x))))
(-.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 0)
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
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(-.f64 (+.f64 0 (*.f64 0 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))) (neg.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
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(*.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) 1)
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(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
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(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
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(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
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(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
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(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
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(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
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(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
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(*.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))))
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(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
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(.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))))
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(/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (/.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x))) (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
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(log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))
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(neg.f64 (neg.f64 (log.f64 (-.f64 (+.f64 x x) (/.f64 1/2 x)))))
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localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (log.f64 2) (log.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series7.0ms (0.1%)

Counts

1 → 8

Calls

3 calls:

Time	Variable		Point	Expression
6.0ms	x	@	-inf	(+.f64 (log.f64 2) (log.f64 x))
0.0ms	x	@	inf	(+.f64 (log.f64 2) (log.f64 x))
0.0ms	x	@	0	(+.f64 (log.f64 2) (log.f64 x))

rewrite49.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1144×	`rational_best_oopsla_all_46_json_45_simplify-37`
1084×	`rational_best_oopsla_all_46_json_45_simplify-23`
1046×	`rational_best_oopsla_all_46_json_45_simplify-13`
748×	`rational_best_oopsla_all_46_json-2`
748×	`rational_best_oopsla_all_46_json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	43	15
2	93	15
3	290	15
4	1351	15

Stop Event

1×	node limit

Counts

1 → 55

Calls

Call 1

Inputs
(+.f64 (log.f64 2) (log.f64 x))

Outputs

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simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational_best_oopsla_all_46_json_45_simplify-49`
976×	`rational_best_oopsla_all_46_json_45_simplify-72`
720×	`rational_best_oopsla_all_46_json_45_simplify-23`
666×	`rational_best_oopsla_all_46_json_45_simplify-35`
454×	`rational_best_oopsla_all_46_json_45_simplify-89`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	122	1089
1	510	1073
2	3454	1073

Stop Event

1×	node limit

Counts

63 → 61

Calls

Call 1

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

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

eval51.0ms (1%)

Compiler: Compiled 3452 to 2350 computations (31.9% saved)

prune26.0ms (0.5%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	137	5	142

Error

0.0b

Counts

142 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(+.f64 (log.f64 2) (log.f64 x))
✓	63.0b	(log.f64 (/.f64 1/2 x))
✓	0.5b	(log.f64 (-.f64 (*.f64 x 2) (/.f64 1/2 x)))
✓	34.5b	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
✓	0.7b	(log.f64 (+.f64 x x))

Compiler

Compiled 35 to 26 computations (25.7% saved)

regimes15.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))
4.0ms	x
4.0ms	(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))

Results

Error	Segments	Branch
0.5b	1	`x`
0.5b	1	`(log.f64 (+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1))))`
0.5b	1	`(+.f64 x (sqrt.f64 (-.f64 (*.f64 x x) 1)))`

Compiler

Compiled 70 to 51 computations (27.1% saved)

regimes4.0ms (0.1%)

Accuracy

Total -62.3b remaining (-8689.5%)

Threshold costs -62.3b (-8689.5%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(log.f64 (+.f64 x x))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

soundness72.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1418×	`rational_best_oopsla_all_46_json_45_simplify-89`
1330×	`rational_best_oopsla_all_46_json_45_simplify-37`
1140×	`rational_best_oopsla_all_46_json_45_simplify-24`
1134×	`rational_best_oopsla_all_46_json_45_simplify-74`
716×	`rational_best_oopsla_all_46_json_45_simplify-49`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	404	5126
1	1567	5110

Stop Event

1×	node limit

Compiler

Compiled 21 to 17 computations (19% saved)

end15.0ms (0.3%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

Details

analyze91.0ms (1.9%)

sample2.5s (51.3%)

preprocess212.0ms (4.4%)

simplify213.0ms (4.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.3%)

series4.0ms (0.1%)

rewrite93.0ms (1.9%)

simplify90.0ms (1.8%)

eval108.0ms (2.2%)

prune38.0ms (0.8%)

localize5.0ms (0.1%)

series41.0ms (0.8%)

rewrite89.0ms (1.8%)

simplify68.0ms (1.4%)

localize14.0ms (0.3%)

series2.0ms (0%)

rewrite72.0ms (1.5%)

simplify71.0ms (1.5%)

localize7.0ms (0.2%)

series44.0ms (0.9%)

rewrite86.0ms (1.8%)

simplify70.0ms (1.4%)

localize17.0ms (0.4%)

series33.0ms (0.7%)

rewrite73.0ms (1.5%)

simplify124.0ms (2.5%)

eval146.0ms (3%)

prune43.0ms (0.9%)

localize11.0ms (0.2%)

series0.0ms (0%)

rewrite108.0ms (2.2%)

simplify64.0ms (1.3%)

localize8.0ms (0.2%)

series7.0ms (0.1%)

rewrite49.0ms (1%)

simplify74.0ms (1.5%)

eval51.0ms (1%)

prune26.0ms (0.5%)

regimes15.0ms (0.3%)

regimes4.0ms (0.1%)

simplify2.0ms (0%)

soundness72.0ms (1.5%)

end15.0ms (0.3%)

Profiling