Details

analyze916.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
6.2%	90.4%	3.4%	6
6.2%	90.4%	3.4%	7
6.2%	88.8%	5%	8
7.8%	77.9%	14.3%	9
7.8%	56.5%	35.7%	10
7.8%	56.5%	35.7%	11
8.1%	41.5%	50.3%	12
8.3%	41.4%	50.3%	13
8.4%	40.2%	51.4%	14

sample102.0ms

Algorithm

intervals

Results

28.0ms	436×	body	80	nan
19.0ms	256×	body	80	valid
18.0ms	208×	body	80	invalid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5221	16

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.3b

Counts

2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 t 1) (log.f64 a))
0.2b	(*.f64 y (log.f64 z))
0.3b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
0.9b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
12×	`log-prod_binary64` `add-exp-log_binary64`
10×	`add-log-exp_binary64` `pow1_binary64` `associate-l_binary64`
8×	`associate-r_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
5×	`exp-prod_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `rem-exp-log_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `times-frac_binary64`
2×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `exp-diff_binary64` `unswap-sqr_binary64` `exp-sum_binary64` `distribute-lft-out--_binary64` `div-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-r/_binary64` `difference-of-sqr-1_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip--_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

4 → 96

Calls

4 calls:

8.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
5.0ms	(*.f64 y (log.f64 z))
13.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
8.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))

series117.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
7.0ms	(*.f64 y (log.f64 z))
64.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
37.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))

simplify45.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5352	1150

prune139.0ms

Filtered

76 candidates to 108 candidates (-42.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	100	8	108
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	101	9	110

Merged error: 0.1b

Counts

110 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 t 1) (log.f64 a))
0.2b	(*.f64 y (log.f64 z))
0.3b	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
1.0b	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-exp-log_binary64`
16×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
12×	`log-prod_binary64`
11×	`pow1_binary64`
10×	`associate-l_binary64`
8×	`associate-r_binary64`
6×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `prod-exp_binary64`
5×	`pow-unpow_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `pow-exp_binary64`
3×	`associate-/r*_binary64` `cbrt-unprod_binary64` `unpow-prod-down_binary64` `difference-of-squares_binary64` `times-frac_binary64`
2×	`pow-to-exp_binary64` `pow-prod-down_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `unpow-prod-up_binary64` `unswap-sqr_binary64` `pow-sub_binary64` `e-exp-1_binary64` `distribute-lft-out--_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-r/_binary64` `pow-pow_binary64` `difference-of-sqr-1_binary64` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 104

Calls

4 calls:

10.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
5.0ms	(*.f64 y (log.f64 z))
9.0ms	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
7.0ms	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))

series124.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(*.f64 (-.f64 t 1) (log.f64 a))
7.0ms	(*.f64 y (log.f64 z))
67.0ms	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))) y)
41.0ms	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1) (log.f64 a))) b))

simplify31.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5175	1483

prune123.0ms

Filtered

72 candidates to 116 candidates (-61.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	1	6	7
Picked	1	0	1
Done	0	1	1
Total	116	9	125

Merged error: 0.1b

Counts

125 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow.f64 (.f64 (cbrt.f64 E.f64) (cbrt.f64 E.f64)) (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))
1.6b	(cbrt.f64 E.f64)
1.6b	(cbrt.f64 E.f64)
1.6b	(cbrt.f64 E.f64)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

12×	`pow1_binary64`
10×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`pow1/3_binary64` `pow-pow_binary64` `cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
7×	`add-exp-log_binary64`
5×	`pow-unpow_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `unpow-prod-up_binary64` `pow-sqr_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `sub-neg_binary64` `sqr-pow_binary64` `pow-plus_binary64` `pow-sub_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `pow2_binary64` `associate--l+_binary64`

Counts

4 → 62

Calls

4 calls:

11.0ms	(pow.f64 (.f64 (cbrt.f64 E.f64) (cbrt.f64 E.f64)) (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))
1.0ms	(cbrt.f64 E.f64)
1.0ms	(cbrt.f64 E.f64)
1.0ms	(cbrt.f64 E.f64)

series77.0ms

Counts

4 → 6

Calls

4 calls:

77.0ms	(pow.f64 (.f64 (cbrt.f64 E.f64) (cbrt.f64 E.f64)) (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1) (log.f64 a))) b))
0.0ms	(cbrt.f64 E.f64)
0.0ms	(cbrt.f64 E.f64)
0.0ms	(cbrt.f64 E.f64)

simplify57.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4879	883
1	4879	883

prune116.0ms

Filtered

51 candidates to 68 candidates (-33.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	68	9	77

Merged error: 0.1b

Counts

77 → 9

localize28.0ms

Local error

Found 4 expressions with local error:

1.6b	(cbrt.f64 E.f64)
1.6b	(cbrt.f64 E.f64)
1.6b	(cbrt.f64 E.f64)
1.6b	(cbrt.f64 E.f64)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 E.f64)
1.0ms	(cbrt.f64 E.f64)
3.0ms	(cbrt.f64 E.f64)
2.0ms	(cbrt.f64 E.f64)

series0.0ms

Counts

4 → 4

Calls

4 calls:

0.0ms	(cbrt.f64 E.f64)
0.0ms	(cbrt.f64 E.f64)
0.0ms	(cbrt.f64 E.f64)
0.0ms	(cbrt.f64 E.f64)

simplify126.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	4726	192
1	4726	192

prune57.0ms

Filtered

40 candidates to 48 candidates (-20.0%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	48	9	57

Merged error: 0.1b

Counts

57 → 9

regimes1.1s

Accuracy

0% (1.7b remaining)

Error of 1.8b against oracle of 0.1b and baseline of 1.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	18
1	43	18

end0.0ms

sample3.2s

Algorithm

intervals

Results

966.0ms	14281×	body	80	nan
641.0ms	8000×	body	80	valid
562.0ms	7205×	body	80	invalid

Details

analyze916.0ms

sample102.0ms

simplify47.0ms

prune15.0ms

localize19.0ms

rewrite37.0ms

series117.0ms

simplify45.0ms

prune139.0ms

localize18.0ms

rewrite34.0ms

series124.0ms

simplify31.0ms

prune123.0ms

localize27.0ms

rewrite16.0ms

series77.0ms

simplify57.0ms

prune116.0ms

localize28.0ms

rewrite8.0ms

series0.0ms

simplify126.0ms

prune57.0ms

regimes1.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.2s

Profiling