Details

analyze1.1s (16.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample86.0ms (1.3%)

Algorithm

1×

intervals

Results

23.0ms	324×	body	80	nan
22.0ms	256×	body	80	valid
4.0ms	46×	body	80	invalid

simplify30.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5223	21

prune11.0ms (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: 0.1b

Counts

2 → 1

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
0.0b	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 0.5) (log.f64 c)))
0.2b	(*.f64 (-.f64 b 0.5) (log.f64 c))
0.2b	(*.f64 x (log.f64 y))

rewrite37.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

15.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 0.5) (log.f64 c)))
7.0ms	(*.f64 (-.f64 b 0.5) (log.f64 c))
7.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
5.0ms	(*.f64 x (log.f64 y))

series112.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

75.0ms	(+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 0.5) (log.f64 c)))
14.0ms	(*.f64 (-.f64 b 0.5) (log.f64 c))
14.0ms	(+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t)
8.0ms	(*.f64 x (log.f64 y))

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	4981	1393
1	4981	1393

prune169.0ms (2.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	99	6	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	6	106

Merged error: 0.0b

Counts

106 → 6

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 y))
0.3b	(+.f64 (.f64 (-.f64 b 0.5) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 0.5) (log.f64 (cbrt.f64 c))))
0.6b	(cbrt.f64 c)
0.6b	(cbrt.f64 c)

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`log-prod_binary64`
33×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
24×	`associate-+l+_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
12×	`associate-+r+_binary64`
8×	`associate-*l/_binary64`
7×	`pow1_binary64`
6×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `frac-add_binary64` `flip--_binary64`
3×	`associate-l_binary64`
2×	`pow1/3_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 99

Calls

4 calls:

17.0ms	(+.f64 (.f64 (-.f64 b 0.5) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 0.5) (log.f64 (cbrt.f64 c))))
5.0ms	(*.f64 x (log.f64 y))
1.0ms	(cbrt.f64 c)
1.0ms	(cbrt.f64 c)

series93.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

47.0ms	(+.f64 (.f64 (-.f64 b 0.5) (.f64 2 (log.f64 (cbrt.f64 c)))) (*.f64 (-.f64 b 0.5) (log.f64 (cbrt.f64 c))))
19.0ms	(cbrt.f64 c)
19.0ms	(cbrt.f64 c)
8.0ms	(*.f64 x (log.f64 y))

simplify31.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5561	1081

prune172.0ms (2.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	111	0	111
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	111	6	117

Merged error: 0.0b

Counts

117 → 6

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
0.3b	(*.f64 x (log.f64 (cbrt.f64 y)))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite19.0ms (0.3%)

Algorithm

1×	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:

7.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
5.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
2.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series88.0ms (1.4%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(.f64 x (.f64 2 (log.f64 (cbrt.f64 y))))
23.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
19.0ms	(cbrt.f64 y)
19.0ms	(cbrt.f64 y)

simplify41.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5306	858

prune167.0ms (2.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	7	114

Merged error: 0.0b

Counts

114 → 7

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c))) (+.f64 a (+.f64 t (+.f64 (.f64 x (log.f64 y)) z)))) (*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c))))
0.2b	(*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c)))
0.2b	(*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c)))
0.2b	(*.f64 x (log.f64 y))

rewrite51.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`log-prod_binary64`
34×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
24×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `associate-*l/_binary64`
21×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
20×	`frac-add_binary64`
18×	`sqrt-prod_binary64`
16×	`associate-r_binary64`
15×	`pow1_binary64` `sum-log_binary64`
13×	`associate-l_binary64`
12×	`flip3--_binary64` `flip--_binary64` `associate-+r+_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `log-pow_binary64` `flip-+_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64`
1×	`associate-+l+_binary64` `+-commutative_binary64`

Counts

4 → 139

Calls

4 calls:

24.0ms	(+.f64 (+.f64 (.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c))) (+.f64 a (+.f64 t (+.f64 (.f64 x (log.f64 y)) z)))) (*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c))))
9.0ms	(*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c)))
8.0ms	(*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c)))
5.0ms	(*.f64 x (log.f64 y))

series147.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

114.0ms	(+.f64 (+.f64 (.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c))) (+.f64 a (+.f64 t (+.f64 (.f64 x (log.f64 y)) z)))) (*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c))))
13.0ms	(*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c)))
10.0ms	(*.f64 (-.f64 b 0.5) (log.f64 (sqrt.f64 c)))
8.0ms	(*.f64 x (log.f64 y))

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4935	3140
1	4935	3140

prune203.0ms (3.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	151	0	151
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	151	7	158

Merged error: 0.0b

Counts

158 → 7

regimes1.4s (21.4%)

Accuracy

Total 0.1b remaining (73.4%)

Threshold costs 0.1b (73.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	46	32
1	46	32

end0.0ms (0%)

sample2.3s (36.1%)

Algorithm

1×

intervals

Results

716.0ms	9850×	body	80	nan
677.0ms	7996×	body	80	valid
105.0ms	1279×	body	80	invalid
1.0ms	2×	body	640	valid
1.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

Details

analyze1.1s (16.4%)

sample86.0ms (1.3%)

simplify30.0ms (0.5%)

prune11.0ms (0.2%)

localize18.0ms (0.3%)

rewrite37.0ms (0.6%)

series112.0ms (1.7%)

simplify45.0ms (0.7%)

prune169.0ms (2.6%)

localize23.0ms (0.4%)

rewrite29.0ms (0.4%)

series93.0ms (1.4%)

simplify31.0ms (0.5%)

prune172.0ms (2.7%)

localize28.0ms (0.4%)

rewrite19.0ms (0.3%)

series88.0ms (1.4%)

simplify41.0ms (0.6%)

prune167.0ms (2.6%)

localize23.0ms (0.4%)

rewrite51.0ms (0.8%)

series147.0ms (2.3%)

simplify63.0ms (1%)

prune203.0ms (3.1%)

regimes1.4s (21.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.3s (36.1%)

Profiling