Details

analyze65.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
50%	50%	0.1%	6
56.2%	37.5%	6.3%	7
68.7%	25%	6.3%	8
71.8%	18.7%	9.5%	9
78%	12.5%	9.5%	10
79.6%	9.4%	11%	11
82.7%	6.2%	11%	12
83.6%	4.6%	11.8%	13
85.1%	3.1%	11.8%	14

sample14.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	642	11
1	642	11

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))
0.0b	(*.f64 x (-.f64 y 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
5×	`sub-neg_binary64` `associate-r_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

8.0ms	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))
7.0ms	(*.f64 x (-.f64 y 1.0))

series13.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(-.f64 (.f64 x (-.f64 y 1.0)) (.f64 y 0.5))
6.0ms	(*.f64 x (-.f64 y 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4944	375
1	4944	375

prune46.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	4	44

Merged error: 0.0b

Counts

44 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (-.f64 y 1.0))) (cbrt.f64 (*.f64 x (-.f64 y 1.0))))
0.6b	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))
0.6b	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))
0.6b	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 y 1.0))) (cbrt.f64 (*.f64 x (-.f64 y 1.0))))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))
7.0ms	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))

series81.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 y 1.0))) (cbrt.f64 (*.f64 x (-.f64 y 1.0))))
17.0ms	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))
18.0ms	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))
18.0ms	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))

simplify65.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4981	1041
1	4981	1041

prune110.0ms

Filtered

66 candidates to 84 candidates (-27.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	83	5	88

Merged error: 0b

Counts

88 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (-.f64 y 1.0))) (cbrt.f64 x))
0.6b	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))
0.6b	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))
0.6b	(cbrt.f64 x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
10×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `associate-r_binary64` `associate-*r/_binary64` `add-exp-log_binary64`
5×	`pow1/3_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`pow-prod-down_binary64` `unswap-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 y 1.0))) (cbrt.f64 x))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))
5.0ms	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))
1.0ms	(cbrt.f64 x)

series76.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(.f64 (cbrt.f64 (.f64 x (-.f64 y 1.0))) (cbrt.f64 x))
17.0ms	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))
17.0ms	(cbrt.f64 (*.f64 x (-.f64 y 1.0)))
18.0ms	(cbrt.f64 x)

simplify54.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4939	784
1	4939	784

prune102.0ms

Filtered

63 candidates to 71 candidates (-12.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	71	5	76

Merged error: 0b

Counts

76 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 (sqrt.f64 x) (.f64 (-.f64 y 1.0) (sqrt.f64 x))) (*.f64 y 0.5))
0.0b	(*.f64 (-.f64 y 1.0) (sqrt.f64 x))
0.2b	(.f64 (sqrt.f64 x) (.f64 (-.f64 y 1.0) (sqrt.f64 x)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
10×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-cube-cbrt_binary64`
7×	`associate-r_binary64` `sqrt-prod_binary64`
5×	`add-log-exp_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
3×	`flip3--_binary64` `flip--_binary64`
2×	`associate-r/_binary64` `unswap-sqr_binary64` `-commutative_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

3 → 60

Calls

3 calls:

11.0ms	(-.f64 (.f64 (sqrt.f64 x) (.f64 (-.f64 y 1.0) (sqrt.f64 x))) (*.f64 y 0.5))
8.0ms	(*.f64 (-.f64 y 1.0) (sqrt.f64 x))
10.0ms	(.f64 (sqrt.f64 x) (.f64 (-.f64 y 1.0) (sqrt.f64 x)))

series28.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(-.f64 (.f64 (sqrt.f64 x) (.f64 (-.f64 y 1.0) (sqrt.f64 x))) (*.f64 y 0.5))
8.0ms	(*.f64 (-.f64 y 1.0) (sqrt.f64 x))
9.0ms	(.f64 (sqrt.f64 x) (.f64 (-.f64 y 1.0) (sqrt.f64 x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4955	632
1	4955	632

prune56.0ms

Filtered

48 candidates to 69 candidates (-43.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	69	5	74

Merged error: 0b

Counts

74 → 5

regimes160.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	11
1	47	11

end0.0ms

sample358.0ms

Algorithm

intervals

Results

228.0ms	7990×	body	80	valid
2.0ms	74×	body	80	invalid
0.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	2×	body	160	valid

Details

analyze65.0ms

sample14.0ms

simplify26.0ms

prune2.0ms

localize7.0ms

rewrite16.0ms

series13.0ms

simplify56.0ms

prune46.0ms

localize12.0ms

rewrite26.0ms

series81.0ms

simplify65.0ms

prune110.0ms

localize15.0ms

rewrite21.0ms

series76.0ms

simplify54.0ms

prune102.0ms

localize9.0ms

rewrite31.0ms

series28.0ms

simplify63.0ms

prune56.0ms

regimes160.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample358.0ms

Profiling