Details

analyze713.0ms (16.6%)

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

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample25.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	246×	body	80	valid
3.0ms	72×	body	80	invalid
1.0ms	4×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	320	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify21.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	400	19
1	400	19

prune7.0ms (0.2%)

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

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

rewrite26.0ms (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:

14.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
11.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

series29.0ms (0.7%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
12.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5344	763

prune52.0ms (1.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	6	42

Merged error: 0.0b

Counts

42 → 6

Compiler

Compiled 969 to 579 computations (40.2% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 (+.f64 y z) 2))
0.0b	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))
0.0b	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))

rewrite33.0ms (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))
12.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
8.0ms	(.f64 x (.f64 (+.f64 y z) 2))

series39.0ms (0.9%)

Counts

3 → 9

Calls

3 calls:

16.0ms	(+.f64 (+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (.f64 x t)) (.f64 y 5))
13.0ms	(+.f64 (.f64 x (.f64 (+.f64 y z) 2)) (*.f64 x t))
9.0ms	(.f64 x (.f64 (+.f64 y z) 2))

simplify85.0ms (2%)

Algorithm

1×	egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4943	930
1	4943	930

prune50.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	53	1	54
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	54	6	60

Merged error: 0.0b

Counts

60 → 6

Compiler

Compiled 1199 to 679 computations (43.4% saved)

localize15.0ms (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))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

rewrite61.0ms (1.4%)

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))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

series352.0ms (8.2%)

Counts

4 → 12

Calls

4 calls:

135.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (.f64 y 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
75.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
72.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
69.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

simplify134.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4947	3872
1	4947	3872

prune183.0ms (4.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	96	9	105

Merged error: 0.0b

Counts

105 → 9

Compiler

Compiled 5736 to 3566 computations (37.8% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))

rewrite46.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`cbrt-prod_binary64`
14×	`cbrt-div_binary64`
11×	`*-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 → 61

Calls

4 calls:

12.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
11.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
11.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
10.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))

series282.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5)))
71.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
70.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))
69.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))))

simplify124.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4946	2716
1	4946	2716

prune186.0ms (4.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	73	9	82

Merged error: 0.0b

Counts

82 → 9

Compiler

Compiled 6556 to 4102 computations (37.4% saved)

regimes245.0ms (5.7%)

Compiler: Compiled 1456 to 1068 computations (26.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms (0%)

sample1.5s (34.5%)

Algorithm

1×

intervals

Results

292.0ms	7724×	body	80	valid
73.0ms	1863×	body	80	invalid
18.0ms	92×	body	1280	valid
15.0ms	94×	body	640	valid
7.0ms	63×	body	320	valid
2.0ms	27×	body	160	valid

Compiler

Compiled 393 to 289 computations (26.5% saved)

Details

analyze713.0ms (16.6%)

sample25.0ms (0.6%)

simplify21.0ms (0.5%)

prune7.0ms (0.2%)

localize9.0ms (0.2%)

rewrite26.0ms (0.6%)

series29.0ms (0.7%)

simplify71.0ms (1.7%)

prune52.0ms (1.2%)

localize10.0ms (0.2%)

rewrite33.0ms (0.8%)

series39.0ms (0.9%)

simplify85.0ms (2%)

prune50.0ms (1.2%)

localize15.0ms (0.4%)

rewrite61.0ms (1.4%)

series352.0ms (8.2%)

simplify134.0ms (3.1%)

prune183.0ms (4.2%)

localize22.0ms (0.5%)

rewrite46.0ms (1.1%)

series282.0ms (6.5%)

simplify124.0ms (2.9%)

prune186.0ms (4.3%)

regimes245.0ms (5.7%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.5s (34.5%)

Profiling