Details

analyze843.0ms

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

sample100.0ms

Algorithm

intervals

Results

26.0ms	340×	body	80	nan
18.0ms	233×	body	80	valid
12.0ms	159×	body	80	invalid
3.0ms	11×	body	320	valid
3.0ms	6×	body	640	valid
2.0ms	2×	body	1280	valid
1.0ms	2×	body	640	invalid
1.0ms	3×	body	320	invalid
1.0ms	4×	body	160	valid
1.0ms	1×	body	1280	invalid
0.0ms	2×	body	160	invalid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5017	17

prune16.0ms

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: 1.6b

Counts

2 → 2

localize15.0ms

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))))
0.2b	(*.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)))
5.2b	(log.f64 (-.f64 1 z))

rewrite39.0ms

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))))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
14.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
4.0ms	(log.f64 (-.f64 1 z))

series101.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b))))
13.0ms	(*.f64 y (-.f64 (log.f64 z) t))
36.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1 z)) b)))
3.0ms	(log.f64 (-.f64 1 z))

simplify55.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5019	1521

prune130.0ms

Filtered

87 candidates to 110 candidates (-26.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	109	3	112

Merged error: 0.0b

Counts

112 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b))))
0.2b	(*.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 z 1/3) 1/2))) b)))
0.4b	(*.f64 z 1/3)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

13.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b))))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
17.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b)))
4.0ms	(*.f64 z 1/3)

series148.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b))))
16.0ms	(*.f64 y (-.f64 (log.f64 z) t))
60.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (neg.f64 z) (.f64 (.f64 z z) (+.f64 (*.f64 z 1/3) 1/2))) b)))
2.0ms	(*.f64 z 1/3)

simplify51.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5065	1715

prune122.0ms

Filtered

75 candidates to 101 candidates (-34.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	100	4	104

Merged error: 0.0b

Counts

104 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b)))
0.3b	(cbrt.f64 (pow.f64 (exp.f64 3) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b)))))
0.4b	(*.f64 z 1/3)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64`
16×	`associate--l+_binary64`
14×	`add-cube-cbrt_binary64`
13×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
12×	`log-prod_binary64`
10×	`sub-neg_binary64` `associate-*r/_binary64`
9×	`pow1_binary64` `associate-r_binary64`
8×	`associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64` `associate-+r+_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`frac-add_binary64`
3×	`unpow-prod-down_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `pow1/3_binary64` `log-pow_binary64` `sqr-pow_binary64` `unpow-prod-up_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 94

Calls

4 calls:

8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
12.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b)))
6.0ms	(cbrt.f64 (pow.f64 (exp.f64 3) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b)))))
4.0ms	(*.f64 z 1/3)

series195.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(*.f64 y (-.f64 (log.f64 z) t))
62.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b)))
117.0ms	(cbrt.f64 (pow.f64 (exp.f64 3) (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (.f64 z (-.f64 -1 (.f64 z (+.f64 (*.f64 z 1/3) 1/2)))) b)))))
2.0ms	(*.f64 z 1/3)

simplify57.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5223	2061

prune143.0ms

Filtered

80 candidates to 106 candidates (-32.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	107	3	110

Merged error: 0.0b

Counts

110 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 a (+.f64 b (.f64 (*.f64 z z) 1/2)))
0.1b	(.f64 (.f64 (pow.f64 z 3) a) -1/3)
0.2b	(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 (.f64 (pow.f64 z 3) a) -1/3) (.f64 a (+.f64 b (.f64 (*.f64 z z) 1/2))))))
3.8b	(*.f64 (pow.f64 z 3) a)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
21×	`add-exp-log_binary64`
16×	`associate-l_binary64`
13×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64`
11×	`prod-exp_binary64`
9×	`associate-r_binary64`
8×	`pow1_binary64` `cbrt-prod_binary64`
7×	`unpow-prod-down_binary64`
5×	`cbrt-unprod_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64` `cube-prod_binary64`
3×	`sqr-pow_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `pow-prod-down_binary64` `associate-*r/_binary64` `pow-exp_binary64`
1×	`cbrt-div_binary64` `flip3-+_binary64` `sub-neg_binary64` `pow1/3_binary64` `unpow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-sub_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 89

Calls

4 calls:

9.0ms	(.f64 a (+.f64 b (.f64 (*.f64 z z) 1/2)))
7.0ms	(.f64 (.f64 (pow.f64 z 3) a) -1/3)
3.0ms	(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 (.f64 (pow.f64 z 3) a) -1/3) (.f64 a (+.f64 b (.f64 (*.f64 z z) 1/2))))))
6.0ms	(*.f64 (pow.f64 z 3) a)

series71.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(.f64 a (+.f64 b (.f64 (*.f64 z z) 1/2)))
5.0ms	(.f64 (.f64 (pow.f64 z 3) a) -1/3)
43.0ms	(cbrt.f64 (pow.f64 (exp.f64 3) (-.f64 (.f64 (.f64 (pow.f64 z 3) a) -1/3) (.f64 a (+.f64 b (.f64 (*.f64 z z) 1/2))))))
5.0ms	(*.f64 (pow.f64 z 3) a)

simplify57.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4926	1146
1	4926	1146

prune108.0ms

Filtered

68 candidates to 101 candidates (-48.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	101	3	104

Merged error: 0.0b

Counts

104 → 3

regimes408.0ms

Accuracy

0% (0.2b remaining)

Error of 0.5b against oracle of 0.3b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	139	25
1	139	25

end0.0ms

sample3.1s

Algorithm

intervals

Results

861.0ms	10767×	body	80	nan
587.0ms	7209×	body	80	valid
429.0ms	5344×	body	80	invalid
112.0ms	263×	body	640	valid
74.0ms	276×	body	320	valid
55.0ms	131×	body	640	invalid
46.0ms	58×	body	1280	valid
37.0ms	137×	body	320	invalid
34.0ms	194×	body	160	valid
16.0ms	98×	body	160	invalid
11.0ms	14×	body	1280	invalid

Details

analyze843.0ms

sample100.0ms

simplify59.0ms

prune16.0ms

localize15.0ms

rewrite39.0ms

series101.0ms

simplify55.0ms

prune130.0ms

localize20.0ms

rewrite44.0ms

series148.0ms

simplify51.0ms

prune122.0ms

localize23.0ms

rewrite33.0ms

series195.0ms

simplify57.0ms

prune143.0ms

localize18.0ms

rewrite28.0ms

series71.0ms

simplify57.0ms

prune108.0ms

regimes408.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample3.1s

Profiling