Details

analyze728.0ms (20.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

sample25.0ms (0.7%)

Algorithm

1×

intervals

Results

9.0ms	244×	body	80	valid
2.0ms	59×	body	80	invalid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune12.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize9.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0))
0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

11.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0))
10.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

series34.0ms (1%)

Counts

2 → 6

Calls

2 calls:

19.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0))
15.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

simplify44.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5376	519

prune68.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	37	4	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	38	4	42

Merged error: 0.0b

Counts

42 → 4

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
0.0b	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5.0))
0.0b	(.f64 x (.f64 (+.f64 y z) 2))

rewrite30.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
8×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `sum-log_binary64`
3×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `+-commutative_binary64` `associate-l/_binary64`
1×	`distribute-lft-out_binary64` `associate-r_binary64` `associate-+l+_binary64` `*-commutative_binary64`

Counts

3 → 45

Calls

3 calls:

12.0ms	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5.0))
9.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
7.0ms	(.f64 x (.f64 (+.f64 y z) 2))

series48.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

19.0ms	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5.0))
18.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
11.0ms	(.f64 x (.f64 (+.f64 y z) 2))

simplify39.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4944	633
1	4944	633

prune72.0ms (2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	54	4	58

Merged error: 0.0b

Counts

58 → 4

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5.0))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0))))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))

rewrite59.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

26.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5.0))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0))))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))

series456.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5.0))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0))))
94.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
92.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
92.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))

simplify64.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4980	2596
1	4980	2596

prune239.0ms (6.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
0.5b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))

rewrite42.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 52

Calls

4 calls:

10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))

series369.0ms (10.3%)

Counts

4 → 12

Calls

4 calls:

93.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
92.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
92.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))
92.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5.0)))

simplify37.0ms (1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5091	1472

prune195.0ms (5.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	63	1	64
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	65	6	71

Merged error: 0.0b

Counts

71 → 6

regimes272.0ms (7.6%)

Accuracy

Total 0.0b remaining (42.5%)

Threshold costs 0.0b (42.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms (0%)

sample666.0ms (18.6%)

Algorithm

1×

intervals

Results

303.0ms	7718×	body	80	valid
69.0ms	1835×	body	80	invalid
18.0ms	113×	body	640	valid
16.0ms	91×	body	1280	valid
8.0ms	56×	body	320	valid
2.0ms	22×	body	160	valid

Details

analyze728.0ms (20.3%)

sample25.0ms (0.7%)

simplify11.0ms (0.3%)

prune12.0ms (0.3%)

localize9.0ms (0.3%)

rewrite21.0ms (0.6%)

series34.0ms (1%)

simplify44.0ms (1.2%)

prune68.0ms (1.9%)

localize10.0ms (0.3%)

rewrite30.0ms (0.8%)

series48.0ms (1.3%)

simplify39.0ms (1.1%)

prune72.0ms (2%)

localize13.0ms (0.4%)

rewrite59.0ms (1.7%)

series456.0ms (12.7%)

simplify64.0ms (1.8%)

prune239.0ms (6.7%)

localize19.0ms (0.5%)

rewrite42.0ms (1.2%)

series369.0ms (10.3%)

simplify37.0ms (1%)

prune195.0ms (5.4%)

regimes272.0ms (7.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample666.0ms (18.6%)

Profiling