Details

analyze899.0ms

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%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample37.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
2.0ms	42×	body	80	invalid
2.0ms	44×	body	80	nan

simplify291.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (288.0ms)

Iter	Nodes	Cost
0	3700	16
1	3700	16

prune5.0ms

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: 0.1b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
0.0b	(*.f64 (-.f64 a 1/2) b)
0.1b	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
0.2b	(*.f64 z (log.f64 t))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

18.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
7.0ms	(*.f64 (-.f64 a 1/2) b)
11.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
5.0ms	(*.f64 z (log.f64 t))

series66.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
5.0ms	(*.f64 (-.f64 a 1/2) b)
12.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
7.0ms	(*.f64 z (log.f64 t))

simplify39.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5322	1291

prune138.0ms

Filtered

72 candidates to 100 candidates (-38.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	93	7	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	7	101

Merged error: 0b

Counts

101 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
18×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
12×	`log-prod_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
7×	`associate-r_binary64`
6×	`associate--r+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sum-log_binary64`
4×	`flip3--_binary64` `frac-add_binary64` `flip--_binary64`
3×	`flip3-+_binary64` `diff-log_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
2×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`associate-+r-_binary64` `log-pow_binary64` `associate-+l+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `associate-+r+_binary64`

Counts

4 → 87

Calls

4 calls:

7.0ms	(*.f64 (-.f64 a 1/2) b)
9.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
5.0ms	(*.f64 z (log.f64 t))
4.0ms	(-.f64 z (*.f64 z (log.f64 t)))

series35.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 (-.f64 a 1/2) b)
15.0ms	(+.f64 (+.f64 x y) (-.f64 z (*.f64 z (log.f64 t))))
7.0ms	(*.f64 z (log.f64 t))
8.0ms	(-.f64 z (*.f64 z (log.f64 t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4798	958
1	4798	958

prune113.0ms

Filtered

66 candidates to 99 candidates (-50.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	100	6	106

Merged error: 0b

Counts

106 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.3b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.5b	(cbrt.f64 t)
0.5b	(cbrt.f64 t)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod_binary64`
30×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`pow1_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64` `associate-l_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow1/3_binary64`
2×	`log-pow_binary64` `*-commutative_binary64`
1×	`unswap-sqr_binary64`

Counts

4 → 96

Calls

4 calls:

6.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
7.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
1.0ms	(cbrt.f64 t)
2.0ms	(cbrt.f64 t)

series76.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
21.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
18.0ms	(cbrt.f64 t)
16.0ms	(cbrt.f64 t)

simplify49.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5306	858

prune108.0ms

Filtered

65 candidates to 108 candidates (-66.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	108	6	114

Merged error: 0b

Counts

114 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
0.1b	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 z (log.f64 (sqrt.f64 t))))
0.2b	(*.f64 z (log.f64 (sqrt.f64 t)))
0.2b	(*.f64 z (log.f64 (sqrt.f64 t)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod_binary64`
28×	`add-sqr-sqrt_binary64`
27×	`add-log-exp_binary64`
24×	`*-un-lft-identity_binary64` `associate--r+_binary64` `add-cube-cbrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-prod_binary64`
12×	`pow1_binary64` `associate-r_binary64`
10×	`diff-log_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`log-pow_binary64` `associate-l_binary64` `sum-log_binary64`
4×	`associate--l+_binary64`
3×	`sub-neg_binary64`
2×	`pow-prod-down_binary64` `pow1/2_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`
1×	`associate--l-_binary64`

Counts

4 → 121

Calls

4 calls:

11.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
16.0ms	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 z (log.f64 (sqrt.f64 t))))
6.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))
6.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))

series54.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(-.f64 (+.f64 z (+.f64 x y)) (*.f64 z (log.f64 (sqrt.f64 t))))
17.0ms	(-.f64 (-.f64 (+.f64 z (+.f64 x y)) (.f64 z (log.f64 (sqrt.f64 t)))) (.f64 z (log.f64 (sqrt.f64 t))))
11.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))
11.0ms	(*.f64 z (log.f64 (sqrt.f64 t)))

simplify71.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4945	1500
1	4945	1500

prune100.0ms

Filtered

86 candidates to 133 candidates (-54.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	133	0	133
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	133	6	139

Merged error: 0b

Counts

139 → 6

regimes1.0s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	89	25
1	89	25

end0.0ms

sample968.0ms

Algorithm

intervals

Results

479.0ms	7998×	body	80	valid
72.0ms	1182×	body	80	invalid
57.0ms	1152×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid

Details

analyze899.0ms

sample37.0ms

simplify291.0ms

prune5.0ms

localize14.0ms

rewrite44.0ms

series66.0ms

simplify39.0ms

prune138.0ms

localize14.0ms

rewrite28.0ms

series35.0ms

simplify65.0ms

prune113.0ms

localize20.0ms

rewrite20.0ms

series76.0ms

simplify49.0ms

prune108.0ms

localize16.0ms

rewrite44.0ms

series54.0ms

simplify71.0ms

prune100.0ms

regimes1.0s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample968.0ms

Profiling