Details

analyze485.0ms (14.9%)

Algorithm

1×

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
23.8%	74.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
48.4%	45.8%	5.8%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample15.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	17×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify178.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	42	10
1	42	10

prune2.0ms (0.1%)

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: 13.4b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
12.7b	(/.f64 (*.f64 x (+.f64 y z)) z)

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64_13531` `add-exp-log_binary64_13533`
8×	`*-un-lft-identity_binary64_13495` `add-sqr-sqrt_binary64_13517`
6×	`add-cube-cbrt_binary64_13530`
4×	`associate-r/_binary64_13437` `associate-r*_binary64_13435` `pow1_binary64_13556`
3×	`associate-l_binary64_13436` `times-frac_binary64_13501` `associate-/r*_binary64_13439`
2×	`associate-/l/_binary64_13442` `flip-+_binary64_13469` `cbrt-unprod_binary64_13528` `add-log-exp_binary64_13534` `cbrt-undiv_binary64_13529` `div-exp_binary64_13546` `prod-exp_binary64_13544` `flip3-+_binary64_13498`
1×	`div-inv_binary64_13492` `clear-num_binary64_13494` `unswap-sqr_binary64_13463` `distribute-lft-out_binary64_13446` `-commutative_binary64_13426` `pow-prod-down_binary64_13566` `associate-/l_binary64_13440` `distribute-lft-in_binary64_13444` `distribute-rgt-in_binary64_13445` `frac-2neg_binary64_13506`

Counts

2 → 46

Calls

2 calls:

7.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
7.0ms	(*.f64 x (+.f64 y z))

series128.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

78.0ms	(/.f64 (*.f64 x (+.f64 y z)) z)
50.0ms	(*.f64 x (+.f64 y z))

simplify66.0ms (2%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5077	553

prune92.0ms (2.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

Compiler

Compiled 1398 to 697 computations (50.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 z (+.f64 y z))
2.2b	(/.f64 x (/.f64 z (+.f64 y z)))

rewrite29.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

114×	`times-frac_binary64_13501`
94×	`*-un-lft-identity_binary64_13495`
62×	`add-cube-cbrt_binary64_13530` `add-sqr-sqrt_binary64_13517`
22×	`associate-/r*_binary64_13439`
16×	`distribute-lft-out_binary64_13446`
11×	`associate-/r/_binary64_13441`
9×	`add-cbrt-cube_binary64_13531` `add-exp-log_binary64_13533`
6×	`div-inv_binary64_13492` `associate-/l*_binary64_13440`
5×	`flip-+_binary64_13469` `flip3-+_binary64_13498`
4×	`cbrt-undiv_binary64_13529` `div-exp_binary64_13546`
2×	`clear-num_binary64_13494` `add-log-exp_binary64_13534` `frac-2neg_binary64_13506` `pow1_binary64_13556`

Counts

2 → 123

Calls

2 calls:

9.0ms	(/.f64 x (/.f64 z (+.f64 y z)))
5.0ms	(/.f64 z (+.f64 y z))

series148.0ms (4.5%)

Counts

2 → 6

Calls

2 calls:

96.0ms	(/.f64 x (/.f64 z (+.f64 y z)))
52.0ms	(/.f64 z (+.f64 y z))

simplify89.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5348	2384

prune114.0ms (3.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	130	5	135

Merged error: 0b

Counts

135 → 5

Compiler

Compiled 2444 to 710 computations (70.9% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 z y))
0.5b	(cbrt.f64 (+.f64 z y))
0.5b	(cbrt.f64 (+.f64 z y))
0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

rewrite25.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64_13526`
23×	`add-sqr-sqrt_binary64_13517`
21×	`*-un-lft-identity_binary64_13495`
15×	`add-cube-cbrt_binary64_13530`
11×	`pow1_binary64_13556`
9×	`pow1/3_binary64_13577`
6×	`associate-l_binary64_13436` `add-exp-log_binary64_13533` `associate-r_binary64_13435` `swap-sqr_binary64_13462` `cbrt-div_binary64_13527`
4×	`add-cbrt-cube_binary64_13531` `unswap-sqr_binary64_13463` `add-log-exp_binary64_13534`
3×	`flip-+_binary64_13469` `distribute-lft-out_binary64_13446` `flip3-+_binary64_13498`
2×	`pow-prod-down_binary64_13566` `pow-prod-up_binary64_13565` `pow-sqr_binary64_13468`
1×	`cbrt-unprod_binary64_13528` `*-commutative_binary64_13426` `pow-plus_binary64_13558` `pow2_binary64_13576` `prod-exp_binary64_13544`

Counts

4 → 82

Calls

4 calls:

7.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
3.0ms	(cbrt.f64 (+.f64 z y))
3.0ms	(cbrt.f64 (+.f64 z y))
3.0ms	(cbrt.f64 (+.f64 z y))

series841.0ms (25.9%)

Counts

4 → 12

Calls

4 calls:

223.0ms	(cbrt.f64 (+.f64 z y))
221.0ms	(cbrt.f64 (+.f64 z y))
214.0ms	(cbrt.f64 (+.f64 z y))
183.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))

simplify71.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4872	983
1	4872	983

prune91.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	94	0	94
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	94	5	99

Merged error: 0b

Counts

99 → 5

Compiler

Compiled 2777 to 525 computations (81.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 y z) z)
2.5b	(*.f64 x (/.f64 (+.f64 y z) z))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_13495`
25×	`times-frac_binary64_13501` `add-sqr-sqrt_binary64_13517`
20×	`add-cube-cbrt_binary64_13530`
16×	`associate-r_binary64_13435`
9×	`add-cbrt-cube_binary64_13531` `add-exp-log_binary64_13533`
7×	`distribute-lft-out_binary64_13446`
4×	`associate-/l*_binary64_13440` `pow1_binary64_13556`
3×	`associate-l_binary64_13436` `associate-/r*_binary64_13439`
2×	`associate-/l/_binary64_13442` `div-inv_binary64_13492` `cbrt-unprod_binary64_13528` `unswap-sqr_binary64_13463` `add-log-exp_binary64_13534` `cbrt-undiv_binary64_13529` `div-exp_binary64_13546` `prod-exp_binary64_13544`
1×	`flip-+_binary64_13469` `associate-r/_binary64_13437` `clear-num_binary64_13494` `-commutative_binary64_13426` `pow-prod-down_binary64_13566` `frac-2neg_binary64_13506` `flip3-+_binary64_13498`

Counts

2 → 68

Calls

2 calls:

10.0ms	(*.f64 x (/.f64 (+.f64 y z) z))
6.0ms	(/.f64 (+.f64 y z) z)

series113.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

78.0ms	(*.f64 x (/.f64 (+.f64 y z) z))
36.0ms	(/.f64 (+.f64 y z) z)

simplify54.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5245	932

prune40.0ms (1.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	74	5	79

Merged error: 0b

Counts

79 → 5

Compiler

Compiled 935 to 208 computations (77.8% saved)

regimes35.0ms (1.1%)

Compiler: Compiled 171 to 132 computations (22.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	40
1	15	40

end0.0ms (0%)

sample561.0ms (17.3%)

Algorithm

1×

intervals

Results

229.0ms	8000×	body	128	valid
20.0ms	729×	body	128	invalid

Compiler

Compiled 95 to 66 computations (30.5% saved)

Details

analyze485.0ms (14.9%)

sample15.0ms (0.5%)

simplify178.0ms (5.5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite17.0ms (0.5%)

series128.0ms (3.9%)

simplify66.0ms (2%)

prune92.0ms (2.8%)

localize5.0ms (0.2%)

rewrite29.0ms (0.9%)

series148.0ms (4.5%)

simplify89.0ms (2.7%)

prune114.0ms (3.5%)

localize17.0ms (0.5%)

rewrite25.0ms (0.8%)

series841.0ms (25.9%)

simplify71.0ms (2.2%)

prune91.0ms (2.8%)

localize5.0ms (0.2%)

rewrite21.0ms (0.7%)

series113.0ms (3.5%)

simplify54.0ms (1.7%)

prune40.0ms (1.2%)

regimes35.0ms (1.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample561.0ms (17.3%)

Profiling