Details

analyze6.0ms (0.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	50%	50%	0%	0%	0%	0
0%	0%	50%	50%	0%	0%	0%	1
0%	0%	50%	50%	0%	0%	0%	2
0%	0%	50%	50%	0%	0%	0%	3
62.5%	31.2%	18.7%	50%	0%	0%	0%	4
81.3%	40.6%	9.4%	50%	0%	0%	0%	5
90.6%	45.3%	4.7%	50%	0%	0%	0%	6
95.3%	47.6%	2.3%	50%	0%	0%	0%	7
97.7%	48.8%	1.2%	50%	0%	0%	0%	8
98.8%	49.4%	0.6%	50%	0%	0%	0%	9
99.4%	49.7%	0.3%	50%	0%	0%	0%	10
99.7%	49.8%	0.1%	50%	0%	0%	0%	11
99.9%	49.9%	0.1%	50%	0%	0%	0%	12

Compiler

Compiled 29 to 19 computations (34.5% saved)

sample1.3s (51.5%)

Results

1.3s

8256×

body

256

valid

Bogosity

preprocess110.0ms (4.3%)

Algorithm

2×	egg-herbie

Rules

1196×	`rational_best_oopsla_all_46_json_45_simplify-89`
1114×	`rational_best_oopsla_all_46_json_45_simplify-37`
1040×	`rational_best_oopsla_all_46_json_45_simplify-74`
810×	`rational_best_oopsla_all_46_json_45_simplify-72`
746×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	39	73
2	118	61
3	440	61
4	1655	61
5	5044	61
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Outputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
(/.f64 (/.f64 (.f64 i (.f64 (.f64 i i) i)) (.f64 (.f64 i 2) (.f64 i 2))) (+.f64 (.f64 (.f64 i 2) (*.f64 i 2)) -1))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 (.f64 i 2) 2))) (+.f64 (.f64 i (.f64 (*.f64 i 2) 2)) -1))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))

Compiler

Compiled 27 to 18 computations (33.3% saved)

simplify105.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1196×	`rational_best_oopsla_all_46_json_45_simplify-89`
1114×	`rational_best_oopsla_all_46_json_45_simplify-37`
1040×	`rational_best_oopsla_all_46_json_45_simplify-74`
810×	`rational_best_oopsla_all_46_json_45_simplify-72`
746×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	39	73
2	118	61
3	440	61
4	1655	61
5	5044	61

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Outputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
(/.f64 (/.f64 (.f64 i (.f64 (.f64 i i) i)) (.f64 (.f64 i 2) (.f64 i 2))) (+.f64 (.f64 (.f64 i 2) (*.f64 i 2)) -1))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 (.f64 i 2) 2))) (+.f64 (.f64 i (.f64 (*.f64 i 2) 2)) -1))
(/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))

eval1.0ms (0.1%)

Compiler: Compiled 118 to 69 computations (41.5% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	4	1	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	5	1	6

Error

48.5b

Counts

6 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	48.5b	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))

Compiler

Compiled 22 to 13 computations (40.9% saved)

localize20.0ms (0.8%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 i i) (*.f64 i i))
✓	16.5b	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
✓	44.3b	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (*.f64 i 4)))

Compiler

Compiled 63 to 29 computations (54% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	i	@	inf	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
0.0ms	i	@	0	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (*.f64 i 4)))
0.0ms	i	@	inf	(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (*.f64 i 4)))
0.0ms	i	@	0	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
0.0ms	i	@	inf	(.f64 (.f64 i i) (*.f64 i i))

rewrite91.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

2012×	`rational_best_oopsla_all_46_json-2`
2012×	`rational_best_oopsla_all_46_json-1`
2012×	`rational_best_oopsla_all_46_json-4`
2012×	`rational_best_oopsla_all_46_json-3`
596×	`rational_best_oopsla_all_46_json_45_simplify-23`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	117
1	85	117
2	278	117
3	1123	117
4	4710	117

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (*.f64 i 4)))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
(.f64 (.f64 i i) (*.f64 i i))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (.f64 -1 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 1 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (.f64 (.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 1 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (.f64 (.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (neg.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) (.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 1 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) (.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 1 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) (neg.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))) (neg.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (.f64 -1 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) (.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) (.f64 (/.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 0 (/.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 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simplify89.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1588×	`rational_best_oopsla_all_46_json_45_simplify-37`
1402×	`rational_best_oopsla_all_46_json_45_simplify-13`
1090×	`rational_best_oopsla_all_46_json_45_simplify-72`
1084×	`rational_best_oopsla_all_46_json_45_simplify-49`
744×	`rational_best_oopsla_all_46_json_45_simplify-7`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	210	4164
1	722	4158
2	2741	4158

Stop Event

1×	node limit

Counts

132 → 125

Calls

Call 1

Inputs
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 -1/4 (pow.f64 i 2))
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(+.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (*.f64 i 4))) 0)
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(+.f64 0 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (*.f64 i 4))))
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(-.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (*.f64 i 4))) 0)
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(-.f64 0 (.f64 -1 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))))
(.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) 1)
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(.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) (.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (*.f64 i 4)))))))
(.f64 (.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 1 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (*.f64 i 4))))
(.f64 (neg.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) -1)
(.f64 (neg.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4)))) (neg.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))))))
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(.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) (.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (/.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1)))))
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(.f64 1 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)))
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(.f64 (/.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))) (.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 1 (/.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))))))
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(.f64 (neg.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))) -1)
(.f64 (neg.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))) (neg.f64 (/.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)))))
(.f64 (.f64 (/.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))) (/.f64 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1)))) (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1)))
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(neg.f64 (.f64 -1 (/.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (.f64 i 4)) -1))))
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(+.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 (fabs.f64 i) 0))
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(-.f64 0 (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
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(-.f64 0 (.f64 (neg.f64 i) (.f64 i (*.f64 i i))))
(-.f64 0 (.f64 (.f64 (*.f64 i i) (neg.f64 i)) i))
(-.f64 0 (.f64 i (.f64 (*.f64 i i) (neg.f64 i))))
(/.f64 (.f64 i (.f64 i (*.f64 i i))) 1)
(/.f64 (.f64 i (.f64 i (*.f64 i i))) (/.f64 i i))
(/.f64 (.f64 i (.f64 i (.f64 i i))) (/.f64 (.f64 i (.f64 i i)) (.f64 i (*.f64 i i))))
(/.f64 (.f64 i (.f64 i (*.f64 i i))) (/.f64 (/.f64 i i) (/.f64 i i)))
(neg.f64 (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(neg.f64 (.f64 -1 (.f64 i (.f64 i (.f64 i i)))))
(neg.f64 (.f64 (/.f64 i i) (neg.f64 (.f64 i (.f64 i (.f64 i i))))))
(neg.f64 (.f64 (neg.f64 i) (.f64 i (*.f64 i i))))
(neg.f64 (.f64 (.f64 (*.f64 i i) (neg.f64 i)) i))
(neg.f64 (.f64 i (.f64 (*.f64 i i) (neg.f64 i))))
(fabs.f64 (.f64 i (.f64 i (*.f64 i i))))
(fabs.f64 (neg.f64 (.f64 i (.f64 i (*.f64 i i)))))
(fabs.f64 (.f64 (neg.f64 i) (.f64 i (*.f64 i i))))
(fabs.f64 (.f64 (.f64 (*.f64 i i) (neg.f64 i)) i))
(fabs.f64 (.f64 i (.f64 (*.f64 i i) (fabs.f64 i))))
(fabs.f64 (.f64 i (.f64 (*.f64 i i) (neg.f64 i))))
(fabs.f64 (.f64 (fabs.f64 i) (.f64 i (*.f64 i i))))
(fabs.f64 (.f64 (fabs.f64 i) (.f64 (*.f64 i i) (neg.f64 i))))
(fabs.f64 (.f64 (neg.f64 i) (.f64 (*.f64 i i) (fabs.f64 i))))
(fabs.f64 (.f64 (.f64 i (*.f64 i i)) (fabs.f64 i)))
(fabs.f64 (.f64 (.f64 i (*.f64 i i)) (neg.f64 i)))
(fabs.f64 (.f64 (.f64 (*.f64 i i) (fabs.f64 i)) i))
(fabs.f64 (.f64 (.f64 (*.f64 i i) (fabs.f64 i)) (neg.f64 i)))
(fabs.f64 (.f64 (.f64 (*.f64 i i) (neg.f64 i)) (fabs.f64 i)))

Outputs
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 1/4 (pow.f64 i 2))
(*.f64 -1/4 (pow.f64 i 2))
(*.f64 (pow.f64 i 2) -1/4)
(+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -1/4 (pow.f64 i 2)))
(+.f64 (.f64 (pow.f64 i 2) -1/4) (.f64 -1 (pow.f64 i 4)))
(+.f64 (*.f64 (pow.f64 i 2) -1/4) (neg.f64 (pow.f64 i 4)))
(+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (*.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 (pow.f64 i 2) -1/4) (+.f64 (.f64 -1 (pow.f64 i 4)) (*.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 (pow.f64 i 2) -1/4) (+.f64 (neg.f64 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 6))))
(+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (.f64 -1 (pow.f64 i 4)) (+.f64 (.f64 -1/4 (pow.f64 i 2)) (.f64 -4 (pow.f64 i 6)))))
(+.f64 (+.f64 (.f64 (pow.f64 i 2) -1/4) (+.f64 (.f64 -1 (pow.f64 i 4)) (.f64 -4 (pow.f64 i 6)))) (.f64 -16 (pow.f64 i 8)))
(+.f64 (.f64 (pow.f64 i 2) -1/4) (+.f64 (.f64 -16 (pow.f64 i 8)) (+.f64 (neg.f64 (pow.f64 i 4)) (*.f64 -4 (pow.f64 i 6)))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))))
(+.f64 (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))) (.f64 1/256 (/.f64 1 (pow.f64 i 4))))
(+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (+.f64 1/16 (.f64 1/256 (/.f64 1 (pow.f64 i 4)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (+.f64 1/16 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))))))
(+.f64 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))))))
1/16
(+.f64 1/16 (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))
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(+.f64 (+.f64 1/16 (.f64 1/64 (/.f64 1 (pow.f64 i 2)))) (.f64 1/256 (/.f64 1 (pow.f64 i 4))))
(+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (+.f64 1/16 (.f64 1/256 (/.f64 1 (pow.f64 i 4)))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/1024 (/.f64 1 (pow.f64 i 6))) (*.f64 1/64 (/.f64 1 (pow.f64 i 2))))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))))))
(+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (+.f64 1/16 (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))))))
(+.f64 1/16 (+.f64 (.f64 1/64 (/.f64 1 (pow.f64 i 2))) (+.f64 (.f64 1/256 (/.f64 1 (pow.f64 i 4))) (*.f64 1/1024 (/.f64 1 (pow.f64 i 6))))))
(pow.f64 i 4)
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(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(pow.f64 i 4)
(+.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (*.f64 i 4))) 0)
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(/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (*.f64 i 4)))
(/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (*.f64 i 4)))
(.f64 (/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (.f64 i 4))) 1)
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(/.f64 (.f64 i (.f64 i (.f64 i i))) (.f64 i (*.f64 i 4)))
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eval48.0ms (1.9%)

Compiler: Compiled 4664 to 2348 computations (49.7% saved)

prune16.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	123	2	125
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	123	3	126

Error

Counts

126 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	48.5b	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
▶	32.1b	(*.f64 (pow.f64 i 2) -1/4)
	31.6b	1/16

Compiler

Compiled 30 to 20 computations (33.3% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 i 2)

Compiler

Compiled 12 to 9 computations (25% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	i	@	-inf	(pow.f64 i 2)
0.0ms	i	@	inf	(pow.f64 i 2)
0.0ms	i	@	0	(pow.f64 i 2)

rewrite67.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1632×	`rational_best_oopsla_all_46_json-2`
1632×	`rational_best_oopsla_all_46_json-1`
1632×	`rational_best_oopsla_all_46_json-4`
1632×	`rational_best_oopsla_all_46_json-3`
650×	`rational_best_oopsla_all_46_json_45_simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	27	7
2	59	7
3	173	7
4	779	7
5	4355	7

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

Inputs
(pow.f64 i 2)

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

Outputs

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

simplify179.0ms (7%)

Algorithm

1×	egg-herbie

Rules

1672×	`rational_best_oopsla_all_46_json_45_simplify-89`
1368×	`rational_best_oopsla_all_46_json_45_simplify-74`
1040×	`rational_best_oopsla_all_46_json_45_simplify-72`
1000×	`rational_best_oopsla_all_46_json_45_simplify-49`
910×	`rational_best_oopsla_all_46_json_45_simplify-24`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	90	350
1	345	350
2	2265	350
3	7916	350

Stop Event

1×	node limit

Counts

50 → 51

Calls

Call 1

Inputs
(+.f64 (pow.f64 i 2) 0)
(+.f64 (pow.f64 i 2) (.f64 0 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))))
(+.f64 (pow.f64 i 2) (.f64 0 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))))
(+.f64 0 (pow.f64 i 2))
(+.f64 (.f64 0 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))) (pow.f64 i 2))
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))) (pow.f64 i 2))
(-.f64 (pow.f64 i 2) 0)
(-.f64 0 (neg.f64 (pow.f64 i 2)))
(-.f64 (.f64 0 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))) (.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))) (neg.f64 (pow.f64 i 2))))
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))) (.f64 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (neg.f64 (pow.f64 i 2))))
(*.f64 (pow.f64 i 2) 1)
(*.f64 (pow.f64 i 2) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))
(.f64 (pow.f64 i 2) (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))))
(.f64 (pow.f64 i 2) (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(*.f64 (pow.f64 i 2) (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(.f64 (pow.f64 i 2) (.f64 (pow.f64 i 2) (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (pow.f64 i 2))))
(.f64 (pow.f64 i 2) (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (*.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))))
(.f64 (pow.f64 i 2) (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (*.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))))
(.f64 (pow.f64 i 2) (.f64 (pow.f64 i 2) (/.f64 (*.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))) (pow.f64 i 2))))
(.f64 (pow.f64 i 2) (.f64 (pow.f64 i 2) (/.f64 (*.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (pow.f64 i 2))))
(.f64 (pow.f64 i 2) (.f64 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(.f64 (pow.f64 i 2) (.f64 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(.f64 (pow.f64 i 2) (.f64 (*.f64 (pow.f64 i 2) (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (pow.f64 i 2))) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(*.f64 1 (pow.f64 i 2))
(*.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (pow.f64 i 2))
(.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (.f64 (pow.f64 i 2) (/.f64 1 (/.f64 (pow.f64 i 2) (pow.f64 i 2)))))
(.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (.f64 (pow.f64 i 2) (/.f64 (*.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))))
(.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (.f64 (*.f64 (pow.f64 i 2) (/.f64 1 (/.f64 (pow.f64 i 2) (pow.f64 i 2)))) (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))))
(.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))) (pow.f64 i 2))
(.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))) (.f64 (pow.f64 i 2) (/.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))) (*.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))))))
(*.f64 (neg.f64 (pow.f64 i 2)) -1)
(*.f64 (neg.f64 (pow.f64 i 2)) (neg.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(.f64 (neg.f64 (pow.f64 i 2)) (.f64 (neg.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(.f64 (neg.f64 (pow.f64 i 2)) (neg.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))))
(*.f64 -1 (neg.f64 (pow.f64 i 2)))
(.f64 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (pow.f64 i 2))
(*.f64 (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (pow.f64 i 2))
(.f64 (.f64 (pow.f64 i 2) (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (pow.f64 i 2))) (pow.f64 i 2))
(.f64 (.f64 (pow.f64 i 2) (/.f64 1 (/.f64 (pow.f64 i 2) (pow.f64 i 2)))) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))
(*.f64 (neg.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (neg.f64 (pow.f64 i 2)))
(.f64 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (*.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))) (pow.f64 i 2))
(.f64 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (*.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))) (pow.f64 i 2))
(.f64 (.f64 (neg.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (neg.f64 (pow.f64 i 2)))
(.f64 (neg.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))) (neg.f64 (pow.f64 i 2)))
(/.f64 (pow.f64 i 2) 1)
(/.f64 (pow.f64 i 2) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))
(/.f64 (pow.f64 i 2) (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(/.f64 (pow.f64 i 2) (/.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))) (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))))
(/.f64 (neg.f64 (pow.f64 i 2)) -1)
(neg.f64 (neg.f64 (pow.f64 i 2)))

Outputs
(+.f64 (pow.f64 i 2) 0)
(pow.f64 i 2)
(+.f64 (pow.f64 i 2) (.f64 0 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))))
(pow.f64 i 2)
(+.f64 (pow.f64 i 2) (.f64 0 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))))
(pow.f64 i 2)
(+.f64 0 (pow.f64 i 2))
(pow.f64 i 2)
(+.f64 (.f64 0 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))) (pow.f64 i 2))
(pow.f64 i 2)
(+.f64 (.f64 0 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))) (pow.f64 i 2))
(pow.f64 i 2)
(-.f64 (pow.f64 i 2) 0)
(pow.f64 i 2)
(-.f64 0 (neg.f64 (pow.f64 i 2)))
(pow.f64 i 2)
(-.f64 (.f64 0 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))) (.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))) (neg.f64 (pow.f64 i 2))))
(pow.f64 i 2)
(-.f64 (.f64 0 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))) (.f64 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (neg.f64 (pow.f64 i 2))))
(pow.f64 i 2)
(*.f64 (pow.f64 i 2) 1)
(pow.f64 i 2)
(*.f64 (pow.f64 i 2) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))
(pow.f64 i 2)
(.f64 (pow.f64 i 2) (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))))
(pow.f64 i 2)
(.f64 (pow.f64 i 2) (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(pow.f64 i 2)
(*.f64 (pow.f64 i 2) (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(pow.f64 i 2)
(.f64 (pow.f64 i 2) (.f64 (pow.f64 i 2) (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (pow.f64 i 2))))
(pow.f64 i 2)
(.f64 (pow.f64 i 2) (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (*.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))))
(pow.f64 i 2)
(.f64 (pow.f64 i 2) (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (*.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))))
(pow.f64 i 2)
(.f64 (pow.f64 i 2) (.f64 (pow.f64 i 2) (/.f64 (*.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))) (pow.f64 i 2))))
(pow.f64 i 2)
(.f64 (pow.f64 i 2) (.f64 (pow.f64 i 2) (/.f64 (*.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (pow.f64 i 2))))
(pow.f64 i 2)
(.f64 (pow.f64 i 2) (.f64 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(pow.f64 i 2)
(.f64 (pow.f64 i 2) (.f64 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(pow.f64 i 2)
(.f64 (pow.f64 i 2) (.f64 (*.f64 (pow.f64 i 2) (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (pow.f64 i 2))) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(pow.f64 i 2)
(*.f64 1 (pow.f64 i 2))
(pow.f64 i 2)
(*.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (pow.f64 i 2))
(pow.f64 i 2)
(.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (.f64 (pow.f64 i 2) (/.f64 1 (/.f64 (pow.f64 i 2) (pow.f64 i 2)))))
(pow.f64 i 2)
(.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (.f64 (pow.f64 i 2) (/.f64 (*.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))))
(pow.f64 i 2)
(.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (.f64 (*.f64 (pow.f64 i 2) (/.f64 1 (/.f64 (pow.f64 i 2) (pow.f64 i 2)))) (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))))
(pow.f64 i 2)
(.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))) (pow.f64 i 2))
(pow.f64 i 2)
(.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))) (.f64 (pow.f64 i 2) (/.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))) (*.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))))))
(pow.f64 i 2)
(*.f64 (neg.f64 (pow.f64 i 2)) -1)
(pow.f64 i 2)
(*.f64 (neg.f64 (pow.f64 i 2)) (neg.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(pow.f64 i 2)
(.f64 (neg.f64 (pow.f64 i 2)) (.f64 (neg.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(pow.f64 i 2)
(.f64 (neg.f64 (pow.f64 i 2)) (neg.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))))
(pow.f64 i 2)
(*.f64 -1 (neg.f64 (pow.f64 i 2)))
(pow.f64 i 2)
(.f64 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (pow.f64 i 2))
(pow.f64 i 2)
(*.f64 (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (pow.f64 i 2))
(pow.f64 i 2)
(.f64 (.f64 (pow.f64 i 2) (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (pow.f64 i 2))) (pow.f64 i 2))
(pow.f64 i 2)
(.f64 (.f64 (pow.f64 i 2) (/.f64 1 (/.f64 (pow.f64 i 2) (pow.f64 i 2)))) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))
(pow.f64 i 2)
(*.f64 (neg.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (neg.f64 (pow.f64 i 2)))
(pow.f64 i 2)
(.f64 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (*.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))) (pow.f64 i 2))
(pow.f64 i 2)
(.f64 (.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (*.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))) (pow.f64 i 2))
(pow.f64 i 2)
(.f64 (.f64 (neg.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (/.f64 (pow.f64 i 2) (pow.f64 i 2))) (neg.f64 (pow.f64 i 2)))
(pow.f64 i 2)
(.f64 (neg.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))) (neg.f64 (pow.f64 i 2)))
(pow.f64 i 2)
(/.f64 (pow.f64 i 2) 1)
(pow.f64 i 2)
(/.f64 (pow.f64 i 2) (/.f64 (pow.f64 i 2) (pow.f64 i 2)))
(pow.f64 i 2)
(/.f64 (pow.f64 i 2) (/.f64 (/.f64 (pow.f64 i 2) (pow.f64 i 2)) (/.f64 (pow.f64 i 2) (pow.f64 i 2))))
(pow.f64 i 2)
(/.f64 (pow.f64 i 2) (/.f64 (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2))) (.f64 (pow.f64 i 2) (/.f64 1 (pow.f64 i 2)))))
(pow.f64 i 2)
(/.f64 (neg.f64 (pow.f64 i 2)) -1)
(pow.f64 i 2)
(neg.f64 (neg.f64 (pow.f64 i 2)))
(pow.f64 i 2)

eval23.0ms (0.9%)

Compiler: Compiled 996 to 783 computations (21.4% saved)

prune7.0ms (0.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	51	3	54

Error

Counts

54 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	48.5b	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
✓	32.1b	(*.f64 (pow.f64 i 2) -1/4)
	31.6b	1/16

Compiler

Compiled 30 to 20 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	48.5b	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
✓	32.1b	(*.f64 (pow.f64 i 2) -1/4)
	31.6b	1/16

Compiler

Compiled 30 to 20 computations (33.3% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

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

Error

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	48.5b	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
✓	32.1b	(*.f64 (pow.f64 i 2) -1/4)
	31.6b	1/16

Compiler

Compiled 30 to 20 computations (33.3% saved)

regimes16.0ms (0.6%)

Counts

4 → 2

Calls

Call 1

Inputs
1/16
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))
(*.f64 (pow.f64 i 2) -1/4)

Outputs
(*.f64 (pow.f64 i 2) -1/4)
1/16

Calls

2 calls:

8.0ms	i
7.0ms	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Results

Error	Segments	Branch
0.7b	2	`i`
14.0b	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))`

Compiler

Compiled 81 to 50 computations (38.3% saved)

bsearch13.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
12.0ms	0.23424984220965556	1.0889772741102517

Results

11.0ms

96×

body

256

valid

Compiler

Compiled 90 to 74 computations (17.8% saved)

regimes13.0ms (0.5%)

Accuracy

Total -35.0b remaining (-155.3%)

Threshold costs -35.0b (-155.3%)

Counts

3 → 2

Calls

Call 1

Inputs

1/16

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 i (*.f64 i 4))) (+.f64 (*.f64 i (*.f64 i 4)) -1))

(/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1))

Outputs
(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 i (.f64 i 4))) (+.f64 (.f64 i (*.f64 i 4)) -1))
1/16

Calls

2 calls:

6.0ms	i
5.0ms	(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))

Results

Error	Segments	Branch
23.0b	2	`i`
22.5b	2	`(/.f64 (/.f64 (.f64 (.f64 i i) (.f64 i i)) (.f64 (.f64 2 i) (.f64 2 i))) (-.f64 (.f64 (.f64 2 i) (*.f64 2 i)) 1))`

Compiler

Compiled 76 to 46 computations (39.5% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.07919566809234789	+inf

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	167

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs

(if (<=.f64 i 1/2) (*.f64 (pow.f64 i 2) -1/4) 1/16)

(if (<=.f64 (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) 3602879701896397/36028797018963968) (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 i (*.f64 i 4))) (+.f64 (*.f64 i (*.f64 i 4)) -1)) 1/16)

1/16

Outputs

(if (<=.f64 i 1/2) (*.f64 (pow.f64 i 2) -1/4) 1/16)

(if (<=.f64 (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 (*.f64 2 i) (*.f64 2 i))) (-.f64 (*.f64 (*.f64 2 i) (*.f64 2 i)) 1)) 3602879701896397/36028797018963968) (/.f64 (/.f64 (*.f64 (*.f64 i i) (*.f64 i i)) (*.f64 i (*.f64 i 4))) (+.f64 (*.f64 i (*.f64 i 4)) -1)) 1/16)

1/16

Compiler

Compiled 64 to 42 computations (34.4% saved)

soundness395.0ms (15.3%)

Algorithm

3×	egg-herbie

Rules

1588×	`rational_best_oopsla_all_46_json_45_simplify-37`
1402×	`rational_best_oopsla_all_46_json_45_simplify-13`
1196×	`rational_best_oopsla_all_46_json_45_simplify-89`
1196×	`rational_best_oopsla_all_46_json_45_simplify-89`
1114×	`rational_best_oopsla_all_46_json_45_simplify-37`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	73
1	39	73
2	118	61
3	440	61
4	1655	61
5	5044	61
0	210	4164
1	722	4158
2	2741	4158
0	12	73
1	39	73
2	118	61
3	440	61
4	1655	61
5	5044	61

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 811 to 459 computations (43.4% saved)

end34.0ms (1.3%)

Compiler: Compiled 62 to 40 computations (35.5% saved)

Details

analyze6.0ms (0.2%)

sample1.3s (51.5%)

preprocess110.0ms (4.3%)

simplify105.0ms (4.1%)

eval1.0ms (0.1%)

prune1.0ms (0%)

localize20.0ms (0.8%)

series3.0ms (0.1%)

rewrite91.0ms (3.5%)

simplify89.0ms (3.4%)

eval48.0ms (1.9%)

prune16.0ms (0.6%)

localize5.0ms (0.2%)

series1.0ms (0%)

rewrite67.0ms (2.6%)

simplify179.0ms (7%)

eval23.0ms (0.9%)

prune7.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes16.0ms (0.6%)

bsearch13.0ms (0.5%)

regimes13.0ms (0.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

soundness395.0ms (15.3%)

end34.0ms (1.3%)

Profiling