Details

analyze35.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	18.7%	12.6%	7
68.7%	15.6%	15.7%	8
71.8%	9.4%	18.8%	9
71.8%	7.8%	20.4%	10
73.4%	4.7%	22%	11
73.4%	3.9%	22.7%	12
74.1%	2.3%	23.5%	13
74.1%	2%	23.9%	14

sample12.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify88.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5128	9

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (.f64 (.f64 x y) y))
0.1b	(.f64 (.f64 x y) y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`associate-l_binary64` `rem-exp-log_binary64` `exp-to-pow_binary64` `exp-prod_binary64` `*-commutative_binary64`

Counts

2 → 28

Calls

2 calls:

2.0ms	(exp.f64 (.f64 (.f64 x y) y))
5.0ms	(.f64 (.f64 x y) y)

series61.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(exp.f64 (.f64 (.f64 x y) y))
34.0ms	(.f64 (.f64 x y) y)

simplify103.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5028	305

prune12.0ms

Filtered

20 candidates to 34 candidates (-70.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	2	35

Merged error: 0.0b

Counts

35 → 2

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 (.f64 y (.f64 x y))) 3)
0.0b	(exp.f64 (.f64 y (.f64 x y)))
0.1b	(.f64 y (.f64 x y))
0.2b	(cbrt.f64 (pow.f64 (exp.f64 (.f64 y (.f64 x y))) 3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`pow1_binary64` `add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
7×	`add-log-exp_binary64`
6×	`unpow-prod-down_binary64` `cube-prod_binary64`
3×	`pow-prod-down_binary64` `pow-unpow_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`sqr-pow_binary64` `exp-to-pow_binary64` `unpow3_binary64` `exp-prod_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `associate-r_binary64` `pow1/3_binary64` `rem-exp-log_binary64` `rem-cube-cbrt_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 (.f64 y (.f64 x y))) 3)
2.0ms	(exp.f64 (.f64 y (.f64 x y)))
5.0ms	(.f64 y (.f64 x y))
3.0ms	(cbrt.f64 (pow.f64 (exp.f64 (.f64 y (.f64 x y))) 3))

series82.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(pow.f64 (exp.f64 (.f64 y (.f64 x y))) 3)
14.0ms	(exp.f64 (.f64 y (.f64 x y)))
14.0ms	(.f64 y (.f64 x y))
14.0ms	(cbrt.f64 (pow.f64 (exp.f64 (.f64 y (.f64 x y))) 3))

simplify93.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5052	983

prune38.0ms

Filtered

50 candidates to 86 candidates (-72.0%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	86	2	88

Merged error: 0.0b

Counts

88 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (exp.f64 (.f64 y (.f64 y x))) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.0b	(exp.f64 (.f64 y (.f64 y x)))
0.1b	(.f64 y (.f64 y x))
0.2b	(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 y (.f64 y x))) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

13×	`unpow-prod-down_binary64`
11×	`cbrt-prod_binary64`
10×	`pow1_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
7×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`exp-to-pow_binary64` `exp-prod_binary64`
1×	`pow-to-exp_binary64` `pow-unpow_binary64` `associate-r_binary64` `pow1/3_binary64` `rem-exp-log_binary64` `pow-exp_binary64` `*-commutative_binary64`

Counts

4 → 64

Calls

4 calls:

4.0ms	(pow.f64 (exp.f64 (.f64 y (.f64 y x))) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
2.0ms	(exp.f64 (.f64 y (.f64 y x)))
5.0ms	(.f64 y (.f64 y x))
4.0ms	(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 y (.f64 y x))) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

series235.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(pow.f64 (exp.f64 (.f64 y (.f64 y x))) (*.f64 (cbrt.f64 3) (cbrt.f64 3)))
14.0ms	(exp.f64 (.f64 y (.f64 y x)))
16.0ms	(.f64 y (.f64 y x))
142.0ms	(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 y (.f64 y x))) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)))

simplify89.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4957	1473
1	4957	1473

prune61.0ms

Filtered

48 candidates to 76 candidates (-58.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	76	2	78

Merged error: 0.0b

Counts

78 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 y (.f64 y x)))) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 3))
0.1b	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 y (.f64 y x)))) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 3))
0.1b	(.f64 y (.f64 y x))
0.1b	(.f64 y (.f64 y x))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

32×	`unpow-prod-down_binary64`
18×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`pow1_binary64` `add-cbrt-cube_binary64`
12×	`pow-unpow_binary64`
8×	`pow-exp_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `sqrt-prod_binary64` `cbrt-prod_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `sqr-pow_binary64`
2×	`associate-r_binary64` `pow-pow_binary64` `*-commutative_binary64`

Counts

4 → 94

Calls

4 calls:

6.0ms	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 y (.f64 y x)))) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 3))
5.0ms	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 y (.f64 y x)))) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 3))
5.0ms	(.f64 y (.f64 y x))
5.0ms	(.f64 y (.f64 y x))

series328.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 y (.f64 y x)))) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 3))
147.0ms	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (.f64 y (.f64 y x)))) (pow.f64 (cbrt.f64 3) 2)) (cbrt.f64 3))
17.0ms	(.f64 y (.f64 y x))
17.0ms	(.f64 y (.f64 y x))

simplify88.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4952	2320
1	4952	2320

prune127.0ms

Filtered

66 candidates to 106 candidates (-60.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	105	3	108

Merged error: 0.0b

Counts

108 → 3

regimes40.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	54
1	17	54

end0.0ms

sample324.0ms

Algorithm

intervals

Results

195.0ms	8000×	body	80	valid
3.0ms	113×	body	80	invalid

Details

analyze35.0ms

sample12.0ms

simplify88.0ms

prune2.0ms

localize5.0ms

rewrite8.0ms

series61.0ms

simplify103.0ms

prune12.0ms

localize7.0ms

rewrite16.0ms

series82.0ms

simplify93.0ms

prune38.0ms

localize10.0ms

rewrite17.0ms

series235.0ms

simplify89.0ms

prune61.0ms

localize15.0ms

rewrite24.0ms

series328.0ms

simplify88.0ms

prune127.0ms

regimes40.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample324.0ms

Profiling