Details

analyze856.0ms

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

sample106.0ms

Algorithm

intervals

Results

29.0ms	443×	body	80	nan
20.0ms	218×	body	80	invalid
20.0ms	256×	body	80	valid

simplify55.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5079	16

prune14.0ms

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 1.0) (log.f64 a))
0.2b	(*.f64 y (log.f64 z))
0.7b	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b))) y)
0.7b	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`*-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`
8×	`associate-r_binary64` `associate-l_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` `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` `difference-of-squares_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` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip--_binary64` `associate--l+_binary64` `sum-log_binary64`

Counts

4 → 94

Calls

4 calls:

8.0ms	(*.f64 (-.f64 t 1.0) (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 1.0) (log.f64 a))) b))) y)
8.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

series148.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(*.f64 (-.f64 t 1.0) (log.f64 a))
8.0ms	(*.f64 y (log.f64 z))
80.0ms	(/.f64 (.f64 x (exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b))) y)
49.0ms	(exp.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

simplify57.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5338	1149

prune137.0ms

Filtered

75 candidates to 106 candidates (-41.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	99	7	106
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	101	7	108

Merged error: 0.1b

Counts

108 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (-.f64 t 1.0) (log.f64 a))
0.2b	(*.f64 y (log.f64 z))
0.7b	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b))) y)
0.8b	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
21×	`add-exp-log_binary64`
20×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
13×	`add-cbrt-cube_binary64`
12×	`log-prod_binary64`
11×	`pow1_binary64`
8×	`associate-r_binary64` `associate-l_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` `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` `difference-of-squares_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` `sqr-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `flip--_binary64` `associate--l+_binary64`

Counts

4 → 102

Calls

4 calls:

8.0ms	(*.f64 (-.f64 t 1.0) (log.f64 a))
5.0ms	(*.f64 y (log.f64 z))
10.0ms	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b))) y)
10.0ms	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

series156.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(*.f64 (-.f64 t 1.0) (log.f64 a))
8.0ms	(*.f64 y (log.f64 z))
86.0ms	(/.f64 (.f64 x (pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b))) y)
52.0ms	(pow.f64 E.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

simplify45.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5183	1480

prune126.0ms

Filtered

73 candidates to 114 candidates (-56.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	114	7	121

Merged error: 0.0b

Counts

121 → 7

localize22.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 y (log.f64 z))
0.7b	(/.f64 (.f64 x (.f64 (pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)) (pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)))) y)
0.8b	(pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
0.8b	(pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-exp-log_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64` `prod-exp_binary64`
16×	`add-cube-cbrt_binary64`
15×	`add-cbrt-cube_binary64`
12×	`unpow-prod-down_binary64`
11×	`pow1_binary64` `div-exp_binary64`
10×	`pow-unpow_binary64`
8×	`pow-to-exp_binary64` `pow-exp_binary64`
6×	`log-prod_binary64` `pow-pow_binary64` `pow-sub_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `cbrt-unprod_binary64` `associate-r_binary64` `associate-*r/_binary64` `unpow-prod-up_binary64`
3×	`associate-/l/_binary64` `associate-/r_binary64` `cbrt-undiv_binary64` `distribute-lft-in_binary64` `associate-l*_binary64` `distribute-rgt-in_binary64` `times-frac_binary64`
2×	`sub-neg_binary64` `pow1/2_binary64` `sqrt-pow2_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `associate--l+_binary64`
1×	`pow-prod-down_binary64` `log-pow_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

4 → 115

Calls

4 calls:

5.0ms	(*.f64 y (log.f64 z))
19.0ms	(/.f64 (.f64 x (.f64 (pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)) (pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)))) y)
7.0ms	(pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
8.0ms	(pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

series299.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(*.f64 y (log.f64 z))
157.0ms	(/.f64 (.f64 x (.f64 (pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)) (pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)))) y)
68.0ms	(pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
65.0ms	(pow.f64 (sqrt.f64 E.f64) (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

simplify45.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5097	2332

prune151.0ms

Filtered

83 candidates to 127 candidates (-53.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	127	7	134

Merged error: 0.0b

Counts

134 → 7

localize28.0ms

Local error

Found 4 expressions with local error:

0.8b	(pow.f64 (pow.f64 E.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)) (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)))) (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b)))
0.8b	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
0.8b	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
0.8b	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`cbrt-prod_binary64`
19×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
10×	`unpow-prod-down_binary64`
8×	`pow-unpow_binary64`
6×	`cbrt-div_binary64` `add-exp-log_binary64` `pow-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
3×	`flip3--_binary64` `pow1/3_binary64` `flip--_binary64`
2×	`pow-to-exp_binary64` `sqr-pow_binary64`
1×	`pow-pow_binary64` `e-exp-1_binary64`

Counts

4 → 74

Calls

4 calls:

8.0ms	(pow.f64 (pow.f64 E.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)) (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)))) (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b)))
7.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
7.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
7.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

series2.0s

Counts

4 → 12

Calls

4 calls:

1.2s	(pow.f64 (pow.f64 E.f64 (.f64 (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)) (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b)))) (cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (*.f64 (-.f64 t 1.0) (log.f64 a))) b)))
258.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
261.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))
269.0ms	(cbrt.f64 (-.f64 (+.f64 (.f64 y (log.f64 z)) (.f64 (-.f64 t 1.0) (log.f64 a))) b))

simplify58.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5197	3830

prune188.0ms

Filtered

71 candidates to 86 candidates (-21.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

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

Merged error: 0.0b

Counts

93 → 7

regimes906.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.1b and baseline of 2.2b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	99
1	49	99

end0.0ms

sample3.2s

Algorithm

intervals

Results

963.0ms	14578×	body	80	nan
623.0ms	8000×	body	80	valid
567.0ms	7355×	body	80	invalid

Details

analyze856.0ms

sample106.0ms

simplify55.0ms

prune14.0ms

localize19.0ms

rewrite37.0ms

series148.0ms

simplify57.0ms

prune137.0ms

localize17.0ms

rewrite35.0ms

series156.0ms

simplify45.0ms

prune126.0ms

localize22.0ms

rewrite44.0ms

series299.0ms

simplify45.0ms

prune151.0ms

localize28.0ms

rewrite31.0ms

series2.0s

simplify58.0ms

prune188.0ms

regimes906.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample3.2s

Profiling