Details

analyze851.0ms

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
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

sample104.0ms

Algorithm

intervals

Results

28.0ms	346×	body	128	nan
19.0ms	229×	body	128	valid
13.0ms	158×	body	128	invalid
6.0ms	4×	body	1024	invalid
5.0ms	14×	body	512	valid
2.0ms	3×	body	1024	valid
2.0ms	10×	body	256	valid
1.0ms	3×	body	512	invalid
0.0ms	1×	body	256	invalid

simplify58.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5024	26

prune5.0ms

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: 1.0b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
4.5b	(log.f64 (-.f64 1 z))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod_binary64`
27×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
24×	`associate--l+_binary64`
15×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
14×	`add-cube-cbrt_binary64` `associate-+r+_binary64`
10×	`associate-*r/_binary64`
9×	`add-log-exp_binary64`
8×	`pow1_binary64` `associate-+l+_binary64`
7×	`add-exp-log_binary64` `difference-of-squares_binary64`
6×	`sub-neg_binary64` `flip3--_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
5×	`distribute-lft-out--_binary64`
4×	`frac-add_binary64`
3×	`associate-l_binary64` `exp-prod_binary64`
2×	`log-pow_binary64` `rem-exp-log_binary64` `log-div_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `unswap-sqr_binary64` `exp-sum_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

4 → 98

Calls

4 calls:

10.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
9.0ms	(*.f64 y (-.f64 (log.f64 z) t))
15.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
4.0ms	(log.f64 (-.f64 1 z))

series737.0ms

Counts

4 → 12

Calls

4 calls:

335.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
106.0ms	(*.f64 y (-.f64 (log.f64 z) t))
273.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
22.0ms	(log.f64 (-.f64 1 z))

simplify71.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5029	2359

prune118.0ms

Filtered

87 candidates to 110 candidates (-26.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	109	3	112

Merged error: 0.3b

Counts

112 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b)))
0.3b	(*.f64 1/3 z)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
14×	`pow1_binary64` `associate--l+_binary64`
13×	`add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
12×	`associate-r_binary64` `log-prod_binary64` `associate-*r/_binary64`
11×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
8×	`sub-neg_binary64` `associate-+l+_binary64`
7×	`associate-l_binary64`
6×	`add-log-exp_binary64`
5×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip--_binary64`
4×	`frac-add_binary64` `associate-+r+_binary64`
3×	`unswap-sqr_binary64` `*-commutative_binary64`
2×	`flip3-+_binary64` `distribute-lft-out--_binary64` `flip-+_binary64`
1×	`log-pow_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 99

Calls

4 calls:

9.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
15.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b)))
4.0ms	(*.f64 1/3 z)

series662.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))
107.0ms	(*.f64 y (-.f64 (log.f64 z) t))
438.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 1/3 z) 1/2))) b)))
22.0ms	(*.f64 1/3 z)

simplify69.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5014	2468

prune115.0ms

Filtered

77 candidates to 111 candidates (-44.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	111	3	114

Merged error: 0.3b

Counts

114 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

4.5b	(log.f64 (-.f64 1 z))
12.2b	(cbrt.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
12.2b	(cbrt.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
12.2b	(cbrt.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
13×	`flip3--_binary64` `flip--_binary64`
12×	`frac-add_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
9×	`cbrt-prod_binary64`
8×	`add-cube-cbrt_binary64`
6×	`log-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
2×	`difference-of-squares_binary64` `log-div_binary64`
1×	`rem-log-exp_binary64` `log-pow_binary64` `distribute-lft-out--_binary64`

Counts

4 → 68

Calls

4 calls:

4.0ms	(log.f64 (-.f64 1 z))
8.0ms	(cbrt.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
8.0ms	(cbrt.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
8.0ms	(cbrt.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))

series4.0s

Counts

4 → 12

Calls

4 calls:

21.0ms	(log.f64 (-.f64 1 z))
1.3s	(cbrt.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
1.3s	(cbrt.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
1.4s	(cbrt.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))

simplify83.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4998	4185
1	4998	4185

prune232.0ms

Filtered

72 candidates to 80 candidates (-11.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	80	3	83

Merged error: 0.3b

Counts

83 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (exp.f64 b) (-.f64 1 z))
0.0b	(/.f64 x (*.f64 (pow.f64 (/.f64 (exp.f64 t) z) y) (pow.f64 (/.f64 (exp.f64 b) (-.f64 1 z)) a)))
0.0b	(/.f64 (exp.f64 t) z)
1.7b	(pow.f64 (/.f64 (exp.f64 b) (-.f64 1 z)) a)

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

57×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
50×	`add-exp-log_binary64`
48×	`times-frac_binary64`
36×	`add-cube-cbrt_binary64`
28×	`div-exp_binary64`
24×	`unpow-prod-down_binary64`
18×	`pow-exp_binary64`
16×	`prod-exp_binary64`
14×	`difference-of-squares_binary64`
13×	`add-cbrt-cube_binary64`
10×	`associate-/r*_binary64`
9×	`pow-to-exp_binary64` `associate-/l*_binary64`
7×	`distribute-lft-out--_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-inv_binary64`
3×	`pow-unpow_binary64` `clear-num_binary64` `frac-2neg_binary64`
2×	`flip3--_binary64` `flip--_binary64`
1×	`cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64`

Counts

4 → 143

Calls

4 calls:

7.0ms	(/.f64 (exp.f64 b) (-.f64 1 z))
18.0ms	(/.f64 x (*.f64 (pow.f64 (/.f64 (exp.f64 t) z) y) (pow.f64 (/.f64 (exp.f64 b) (-.f64 1 z)) a)))
7.0ms	(/.f64 (exp.f64 t) z)
10.0ms	(pow.f64 (/.f64 (exp.f64 b) (-.f64 1 z)) a)

series1.3s

Counts

4 → 12

Calls

4 calls:

56.0ms	(/.f64 (exp.f64 b) (-.f64 1 z))
968.0ms	(/.f64 x (*.f64 (pow.f64 (/.f64 (exp.f64 t) z) y) (pow.f64 (/.f64 (exp.f64 b) (-.f64 1 z)) a)))
32.0ms	(/.f64 (exp.f64 t) z)
206.0ms	(pow.f64 (/.f64 (exp.f64 b) (-.f64 1 z)) a)

simplify90.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4932	3140
1	4932	3140

prune106.0ms

Filtered

100 candidates to 155 candidates (-55.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	154	4	158

Merged error: 0.0b

Counts

158 → 4

regimes104.0ms

Accuracy

0% (0.3b remaining)

Error of 0.6b against oracle of 0.3b and baseline of 0.6b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	140	38
1	140	38

end0.0ms

sample3.3s

Algorithm

intervals

Results

873.0ms	10609×	body	128	nan
614.0ms	7354×	body	128	valid
444.0ms	5293×	body	128	invalid
279.0ms	124×	body	1024	valid
93.0ms	297×	body	512	valid
42.0ms	133×	body	512	invalid
41.0ms	225×	body	256	valid
23.0ms	40×	body	1024	invalid
19.0ms	106×	body	256	invalid

Details

analyze851.0ms

sample104.0ms

simplify58.0ms

prune5.0ms

localize18.0ms

rewrite49.0ms

series737.0ms

simplify71.0ms

prune118.0ms

localize20.0ms

rewrite48.0ms

series662.0ms

simplify69.0ms

prune115.0ms

localize26.0ms

rewrite42.0ms

series4.0s

simplify83.0ms

prune232.0ms

localize14.0ms

rewrite56.0ms

series1.3s

simplify90.0ms

prune106.0ms

regimes104.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample3.3s

Profiling