Details

analyze856.0ms (13.9%)

Algorithm

1×

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

sample115.0ms (1.9%)

Algorithm

1×

intervals

Results

28.0ms	347×	body	80	nan
19.0ms	232×	body	80	valid
17.0ms	210×	body	80	invalid
4.0ms	8×	body	640	valid
3.0ms	1×	body	1280	valid
3.0ms	12×	body	320	valid
3.0ms	7×	body	640	invalid
1.0ms	1×	body	1280	invalid
1.0ms	3×	body	320	invalid
1.0ms	3×	body	160	invalid
1.0ms	3×	body	160	valid

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4997	17
1	4997	17

prune15.0ms (0.2%)

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: 1.8b

Counts

2 → 2

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 a (-.f64 (log.f64 (-.f64 1.0 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 1.0 z)) b)))
5.4b	(log.f64 (-.f64 1.0 z))

rewrite43.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`log-prod_binary64`
35×	`add-sqr-sqrt_binary64`
33×	`*-un-lft-identity_binary64`
32×	`associate--l+_binary64`
20×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
17×	`add-cube-cbrt_binary64`
12×	`associate-r_binary64` `associate-*r/_binary64` `associate-+r+_binary64`
11×	`pow1_binary64`
9×	`add-exp-log_binary64` `distribute-lft-out--_binary64`
8×	`sub-neg_binary64` `associate-+l+_binary64` `add-cbrt-cube_binary64`
7×	`flip3--_binary64` `difference-of-squares_binary64` `flip--_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
4×	`frac-add_binary64`
3×	`log-pow_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `log-div_binary64` `*-commutative_binary64`
1×	`flip3-+_binary64` `rem-log-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 117

Calls

4 calls:

14.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1.0 z)) b)))
12.0ms	(*.f64 a (-.f64 (log.f64 (-.f64 1.0 z)) b))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
4.0ms	(log.f64 (-.f64 1.0 z))

series76.0ms (1.2%)

Counts

4 → 12

Calls

4 calls:

43.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (log.f64 (-.f64 1.0 z)) b)))
15.0ms	(*.f64 y (-.f64 (log.f64 z) t))
14.0ms	(*.f64 a (-.f64 (log.f64 (-.f64 1.0 z)) b))
4.0ms	(log.f64 (-.f64 1.0 z))

simplify51.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5348	1685

prune176.0ms (2.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	129	2	131

Merged error: 0.0b

Counts

131 → 2

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (.f64 1.0 z))))))
0.0b	(.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (.f64 1.0 z)))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (*.f64 1.0 z))))

rewrite57.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 113

Calls

4 calls:

18.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (.f64 1.0 z))))))
15.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (*.f64 1.0 z))))
11.0ms	(.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (.f64 1.0 z)))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))

series145.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

76.0ms	(.f64 x (exp.f64 (+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (.f64 1.0 z))))))
40.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (*.f64 1.0 z))))
16.0ms	(*.f64 y (-.f64 (log.f64 z) t))
14.0ms	(.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (.f64 1.0 z)))

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4987	2017
1	4987	2017

prune182.0ms (2.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	124	1	125
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	124	3	127

Merged error: 0b

Counts

127 → 3

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.1b	(*.f64 y (-.f64 (log.f64 z) t))
0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (*.f64 1.0 z))))
0.3b	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (*.f64 z 1.0))))

rewrite55.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

17.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (*.f64 1.0 z))))
15.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (*.f64 z 1.0))))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))
8.0ms	(*.f64 y (-.f64 (log.f64 z) t))

series115.0ms (1.9%)

Counts

4 → 12

Calls

4 calls:

44.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (*.f64 1.0 z))))
40.0ms	(+.f64 (.f64 y (-.f64 (log.f64 z) t)) (.f64 a (-.f64 (-.f64 (log.f64 1.0) b) (*.f64 z 1.0))))
16.0ms	(*.f64 y (-.f64 (log.f64 z) t))
16.0ms	(*.f64 y (-.f64 (log.f64 z) t))

simplify64.0ms (1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5010	2290

prune289.0ms (4.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	140	3	143

Merged error: 0b

Counts

143 → 3

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (log.f64 z) t)
0.1b	(*.f64 y (-.f64 (log.f64 z) t))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 48

Calls

2 calls:

11.0ms	(*.f64 y (-.f64 (log.f64 z) t))
5.0ms	(-.f64 (log.f64 z) t)

series26.0ms (0.4%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(*.f64 y (-.f64 (log.f64 z) t))
10.0ms	(-.f64 (log.f64 z) t)

simplify42.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4991	397
1	4991	397

prune64.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	54	3	57

Merged error: 0b

Counts

57 → 3

regimes444.0ms (7.2%)

Accuracy

Total 0.3b remaining (52%)

Threshold costs 0.3b (52%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	65	20
1	65	20

end0.0ms (0%)

sample3.2s (51.3%)

Algorithm

1×

intervals

Results

878.0ms	10795×	body	80	nan
600.0ms	7234×	body	80	valid
438.0ms	5312×	body	80	invalid
116.0ms	261×	body	640	valid
78.0ms	273×	body	320	valid
52.0ms	119×	body	640	invalid
48.0ms	57×	body	1280	valid
34.0ms	120×	body	320	invalid
30.0ms	175×	body	160	valid
16.0ms	21×	body	1280	invalid
16.0ms	97×	body	160	invalid

Details

analyze856.0ms (13.9%)

sample115.0ms (1.9%)

simplify45.0ms (0.7%)

prune15.0ms (0.2%)

localize15.0ms (0.2%)

rewrite43.0ms (0.7%)

series76.0ms (1.2%)

simplify51.0ms (0.8%)

prune176.0ms (2.9%)

localize15.0ms (0.3%)

rewrite57.0ms (0.9%)

series145.0ms (2.4%)

simplify53.0ms (0.9%)

prune182.0ms (2.9%)

localize24.0ms (0.4%)

rewrite55.0ms (0.9%)

series115.0ms (1.9%)

simplify64.0ms (1%)

prune289.0ms (4.7%)

localize13.0ms (0.2%)

rewrite19.0ms (0.3%)

series26.0ms (0.4%)

simplify42.0ms (0.7%)

prune64.0ms (1%)

regimes444.0ms (7.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.2s (51.3%)

Profiling