Details

analyze937.0ms

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

sample35.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
2.0ms	42×	body	80	nan
2.0ms	35×	body	80	invalid

simplify271.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (268.0ms)

Iter	Nodes	Cost
0	3700	16
1	3700	16

prune4.0ms

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

localize12.0ms

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)))
0.3b	(*.f64 z (log.f64 t))

rewrite40.0ms

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:

16.0ms	(+.f64 (-.f64 (+.f64 (+.f64 x y) z) (.f64 z (log.f64 t))) (.f64 (-.f64 a 1/2) b))
6.0ms	(*.f64 (-.f64 a 1/2) b)
10.0ms	(-.f64 (+.f64 (+.f64 x y) z) (*.f64 z (log.f64 t)))
5.0ms	(*.f64 z (log.f64 t))

series63.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(+.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))

simplify31.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5322	1291

prune83.0ms

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: 0.0b

Counts

101 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-log-exp_binary64`
23×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
12×	`log-prod_binary64` `add-cube-cbrt_binary64` `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` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`flip3--_binary64` `diff-log_binary64` `frac-add_binary64` `flip--_binary64`
3×	`flip3-+_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 → 90

Calls

4 calls:

8.0ms	(-.f64 (.f64 (-.f64 a 1/2) b) (.f64 z (log.f64 t)))
9.0ms	(*.f64 (-.f64 a 1/2) b)
15.0ms	(+.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 (-.f64 a 1/2) b) (.f64 z (log.f64 t))))
5.0ms	(*.f64 z (log.f64 t))

series63.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(-.f64 (.f64 (-.f64 a 1/2) b) (.f64 z (log.f64 t)))
5.0ms	(*.f64 (-.f64 a 1/2) b)
38.0ms	(+.f64 (+.f64 (+.f64 x y) z) (-.f64 (.f64 (-.f64 a 1/2) b) (.f64 z (log.f64 t))))
7.0ms	(*.f64 z (log.f64 t))

simplify34.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5303	1387

prune74.0ms

Filtered

71 candidates to 102 candidates (-43.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	103	6	109

Merged error: 0.0b

Counts

109 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-log-exp_binary64`
29×	`*-un-lft-identity_binary64`
26×	`add-sqr-sqrt_binary64`
24×	`log-prod_binary64`
18×	`add-cube-cbrt_binary64` `sum-log_binary64`
15×	`associate-r_binary64`
14×	`pow1_binary64`
12×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-prod_binary64`
11×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`diff-log_binary64`
6×	`distribute-lft-out_binary64` `log-pow_binary64`
4×	`frac-add_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `flip-+_binary64` `*-commutative_binary64`
2×	`sub-neg_binary64` `pow1/2_binary64` `sqrt-pow1_binary64` `associate-+r+_binary64` `associate-*l/_binary64`
1×	`associate-+r-_binary64` `associate-+l+_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `associate--l+_binary64`

Counts

4 → 118

Calls

4 calls:

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

series74.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 (-.f64 a 1/2) b)
47.0ms	(+.f64 (+.f64 (+.f64 x y) z) (-.f64 (-.f64 (.f64 (-.f64 a 1/2) b) (.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)))

simplify38.0ms

Algorithm

egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5429	1679

prune74.0ms

Filtered

79 candidates to 130 candidates (-64.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	130	6	136

Merged error: 0.0b

Counts

136 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 z (log.f64 (cbrt.f64 t)))
0.2b	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
0.6b	(cbrt.f64 t)
0.6b	(cbrt.f64 t)

rewrite19.0ms

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)
1.0ms	(cbrt.f64 t)

series73.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 z (log.f64 (cbrt.f64 t)))
21.0ms	(.f64 z (.f64 2 (log.f64 (cbrt.f64 t))))
15.0ms	(cbrt.f64 t)
18.0ms	(cbrt.f64 t)

simplify41.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5306	858

prune51.0ms

Filtered

65 candidates to 108 candidates (-66.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Merged error: 0.0b

Counts

114 → 6

regimes666.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	58	23
1	58	23

end0.0ms

sample1.1s

Algorithm

intervals

Results

458.0ms	7999×	body	80	valid
266.0ms	1156×	body	80	nan
68.0ms	1192×	body	80	invalid
0.0ms	1×	body	320	valid

Details

analyze937.0ms

sample35.0ms

simplify271.0ms

prune4.0ms

localize12.0ms

rewrite40.0ms

series63.0ms

simplify31.0ms

prune83.0ms

localize12.0ms

rewrite40.0ms

series63.0ms

simplify34.0ms

prune74.0ms

localize14.0ms

rewrite43.0ms

series74.0ms

simplify38.0ms

prune74.0ms

localize17.0ms

rewrite19.0ms

series73.0ms

simplify41.0ms

prune51.0ms

regimes666.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.1s

Profiling