Details

analyze180.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
12.5%	43.7%	43.8%	7
12.5%	43.7%	43.8%	8
25%	28.1%	47%	9
28.1%	20.3%	51.6%	10
28.1%	20.3%	51.6%	11
34.3%	13.3%	52.4%	12
35.9%	9.8%	54.4%	13
35.9%	9.8%	54.4%	14

sample20.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid
0.0ms	3×	body	80	nan

simplify248.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (245.0ms)

Iter	Nodes	Cost
0	4888	12
1	4888	12

prune3.0ms

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

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

8.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
7.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
14.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

series36.0ms

Counts

3 → 9

Calls

3 calls:

9.0ms	(+.f64 (-.f64 1 z) (log.f64 z))
14.0ms	(+.f64 (.f64 x 1/2) (.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
13.0ms	(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

simplify49.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4900	681
1	4900	681

prune57.0ms

Filtered

43 candidates to 69 candidates (-60.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	63	6	69
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
0.2b	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`add-log-exp_binary64` `add-cube-cbrt_binary64`
9×	`cbrt-prod_binary64`
8×	`pow1_binary64`
6×	`log-prod_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-+r+_binary64`
5×	`associate-r_binary64` `sum-log_binary64`
4×	`distribute-lft-out_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `pow1/3_binary64` `log-pow_binary64` `associate-+l-_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `*-commutative_binary64`

Counts

4 → 69

Calls

4 calls:

13.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
12.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series102.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(.f64 y (+.f64 (+.f64 (-.f64 1 z) (.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z))))
39.0ms	(+.f64 (+.f64 (-.f64 1 z) (*.f64 (log.f64 (cbrt.f64 z)) 2)) (log.f64 (cbrt.f64 z)))
14.0ms	(cbrt.f64 z)
14.0ms	(cbrt.f64 z)

simplify41.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5035	636

prune62.0ms

Filtered

65 candidates to 81 candidates (-24.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	79	2	81
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	81	6	87

Merged error: 0.0b

Counts

87 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

4.0ms	(-.f64 (log.f64 z) z)
7.0ms	(+.f64 (.f64 x 1/2) (+.f64 y (.f64 y (-.f64 (log.f64 z) z))))
5.0ms	(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
8.0ms	(*.f64 y (-.f64 (log.f64 z) z))

series49.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(-.f64 (log.f64 z) z)
13.0ms	(+.f64 (.f64 x 1/2) (+.f64 y (.f64 y (-.f64 (log.f64 z) z))))
13.0ms	(+.f64 y (*.f64 y (-.f64 (log.f64 z) z)))
12.0ms	(*.f64 y (-.f64 (log.f64 z) z))

simplify43.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4991	883
1	4991	883

prune52.0ms

Filtered

64 candidates to 92 candidates (-43.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	2	2	4
Picked	1	0	1
Done	0	1	1
Total	94	4	98

Merged error: 0.0b

Counts

98 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(+.f64 (.f64 y (.f64 2 (log.f64 (cbrt.f64 z)))) (*.f64 y (-.f64 (log.f64 (cbrt.f64 z)) z)))
0.3b	(.f64 y (.f64 2 (log.f64 (cbrt.f64 z))))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

60×	`log-prod_binary64`
55×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
36×	`cbrt-prod_binary64`
27×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
24×	`associate-+l+_binary64`
14×	`associate-+r+_binary64`
12×	`associate--l+_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`sub-neg_binary64` `pow1/3_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 114

Calls

4 calls:

12.0ms	(+.f64 (.f64 y (.f64 2 (log.f64 (cbrt.f64 z)))) (*.f64 y (-.f64 (log.f64 (cbrt.f64 z)) z)))
7.0ms	(.f64 y (.f64 2 (log.f64 (cbrt.f64 z))))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series89.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+.f64 (.f64 y (.f64 2 (log.f64 (cbrt.f64 z)))) (*.f64 y (-.f64 (log.f64 (cbrt.f64 z)) z)))
22.0ms	(.f64 y (.f64 2 (log.f64 (cbrt.f64 z))))
18.0ms	(cbrt.f64 z)
16.0ms	(cbrt.f64 z)

simplify62.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4935	1170
1	4935	1170

prune63.0ms

Filtered

93 candidates to 126 candidates (-35.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	126	4	130

Merged error: 0.0b

Counts

130 → 4

regimes135.0ms

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	31	19
1	31	19

end0.0ms

sample555.0ms

Algorithm

intervals

Results

358.0ms	8000×	body	80	valid
17.0ms	311×	body	80	invalid
2.0ms	57×	body	80	nan

Details

analyze180.0ms

sample20.0ms

simplify248.0ms

prune3.0ms

localize9.0ms

rewrite31.0ms

series36.0ms

simplify49.0ms

prune57.0ms

localize13.0ms

rewrite30.0ms

series102.0ms

simplify41.0ms

prune62.0ms

localize9.0ms

rewrite26.0ms

series49.0ms

simplify43.0ms

prune52.0ms

localize14.0ms

rewrite27.0ms

series89.0ms

simplify62.0ms

prune63.0ms

regimes135.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample555.0ms

Profiling