Details

analyze309.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample43.0ms

Algorithm

intervals

Results

12.0ms	189×	body	80	valid
8.0ms	23×	body	640	valid
6.0ms	10×	body	1280	valid
3.0ms	13×	body	320	valid
3.0ms	21×	body	160	valid
1.0ms	8×	body	80	nan
0.0ms	1×	body	80	invalid

simplify26.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	656	13
1	656	13

prune3.0ms

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: 6.5b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 z (log.f64 (-.f64 1 y)))
0.2b	(*.f64 x (log.f64 y))
6.4b	(log.f64 (-.f64 1 y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
24×	`log-prod_binary64`
21×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`associate-r_binary64` `add-exp-log_binary64`
7×	`add-cbrt-cube_binary64`
6×	`associate-l_binary64` `difference-of-squares_binary64`
3×	`add-log-exp_binary64` `log-pow_binary64` `distribute-lft-out--_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `*-commutative_binary64`
1×	`flip3--_binary64` `rem-log-exp_binary64` `flip--_binary64`

Counts

3 → 73

Calls

3 calls:

7.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(log.f64 (-.f64 1 y))

series18.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(*.f64 z (log.f64 (-.f64 1 y)))
7.0ms	(*.f64 x (log.f64 y))
3.0ms	(log.f64 (-.f64 1 y))

simplify49.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4990	668
1	4990	668

prune69.0ms

Filtered

52 candidates to 82 candidates (-57.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	77	6	83

Merged error: 0.0b

Counts

83 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)))
0.0b	(.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2))
0.2b	(*.f64 x (log.f64 y))
0.3b	(*.f64 y -1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
14×	`pow1_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`log-prod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
10×	`associate-r_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64` `associate-+l+_binary64` `associate-+r+_binary64`
5×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`associate--l+_binary64`
3×	`unswap-sqr_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `associate-*r/_binary64` `flip-+_binary64`
1×	`log-pow_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 89

Calls

4 calls:

6.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)))
10.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2))
5.0ms	(*.f64 x (log.f64 y))
4.0ms	(*.f64 y -1/3)

series49.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+.f64 (.f64 x (log.f64 y)) (.f64 z (-.f64 (.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2)) y)))
9.0ms	(.f64 (.f64 y y) (+.f64 (*.f64 y -1/3) -1/2))
7.0ms	(*.f64 x (log.f64 y))
2.0ms	(*.f64 y -1/3)

simplify64.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4970	1033
1	4970	1033

prune82.0ms

Filtered

70 candidates to 101 candidates (-44.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	97	4	101
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	99	8	107

Merged error: 0.0b

Counts

107 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series64.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
14.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)
14.0ms	(cbrt.f64 y)

simplify48.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune77.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	6	6
Picked	1	0	1
Done	1	0	1
Total	86	7	93

Merged error: 0.0b

Counts

93 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
5.1b	(pow.f64 y 1/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
22×	`cbrt-prod_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64`
8×	`pow1/3_binary64`
7×	`add-exp-log_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
3×	`pow-unpow_binary64` `unpow-prod-down_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow-exp_binary64` `pow2_binary64` `unpow1/3_binary64` `*-commutative_binary64`

Counts

4 → 80

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
3.0ms	(pow.f64 y 1/3)

series63.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
17.0ms	(cbrt.f64 y)
15.0ms	(cbrt.f64 y)
13.0ms	(pow.f64 y 1/3)

simplify54.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5228	340

prune66.0ms

Filtered

60 candidates to 92 candidates (-53.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	92	7	99

Merged error: 0.0b

Counts

99 → 7

regimes219.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	53	34
1	53	34

end0.0ms

sample1.4s

Algorithm

intervals

Results

371.0ms	5523×	body	80	valid
308.0ms	889×	body	640	valid
242.0ms	370×	body	1280	valid
162.0ms	734×	body	320	valid
65.0ms	484×	body	160	valid
18.0ms	260×	body	80	nan
2.0ms	38×	body	80	invalid

Details

analyze309.0ms

sample43.0ms

simplify26.0ms

prune3.0ms

localize13.0ms

rewrite18.0ms

series18.0ms

simplify49.0ms

prune69.0ms

localize14.0ms

rewrite27.0ms

series49.0ms

simplify64.0ms

prune82.0ms

localize21.0ms

rewrite13.0ms

series64.0ms

simplify48.0ms

prune77.0ms

localize26.0ms

rewrite13.0ms

series63.0ms

simplify54.0ms

prune66.0ms

regimes219.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling