Details

analyze620.0ms (16.3%)

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
27.3%	67.1%	5.6%	9
41%	50.3%	8.7%	10
43.9%	47%	9.1%	11
48.3%	38%	13.7%	12
56.3%	27.4%	16.2%	13
58.2%	25.4%	16.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample28.0ms (0.7%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
1.0ms	24×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify168.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	10
1	13	10

prune3.0ms (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: 5.1b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

7.5b	(/.f64 (*.f64 y y) z)

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
3×	`add-sqr-sqrt_binary64_18514` `times-frac_binary64_18498` `add-cube-cbrt_binary64_18527` `-un-lft-identity_binary64_18492` `associate-/r_binary64_18436`
2×	`div-exp_binary64_18543` `cbrt-undiv_binary64_18526`
1×	`pow1_binary64_18553` `frac-2neg_binary64_18503` `associate-/l*_binary64_18437` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525` `add-log-exp_binary64_18531` `clear-num_binary64_18491` `div-inv_binary64_18489`

Counts

1 → 21

Calls

1 calls:

9.0ms

(/.f64 (*.f64 y y) z)

series25.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

25.0ms

(/.f64 (*.f64 y y) z)

simplify153.0ms (4%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (138.0ms)

Iter	Nodes	Cost
0	4859	219
1	4859	219

prune46.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	20	4	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	5	25

Merged error: 0b

Counts

25 → 5

Compiler

Compiled 277 to 100 computations (63.9% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.1b	(*.f64 y (/.f64 y z))

rewrite18.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_18514`
13×	`associate-r_binary64_18432`
10×	`times-frac_binary64_18498`
9×	`add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
6×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
3×	`pow1_binary64_18553` `associate-l_binary64_18433`
2×	`unswap-sqr_binary64_18460` `prod-exp_binary64_18541` `cbrt-unprod_binary64_18525`
1×	`div-exp_binary64_18543` `associate-r/_binary64_18434` `-commutative_binary64_18423` `add-log-exp_binary64_18531` `cbrt-undiv_binary64_18526` `div-inv_binary64_18489` `pow-prod-down_binary64_18563`

Counts

1 → 32

Calls

1 calls:

14.0ms

(*.f64 y (/.f64 y z))

series25.0ms (0.7%)

Counts

1 → 3

Calls

1 calls:

25.0ms

(*.f64 y (/.f64 y z))

simplify128.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (111.0ms)

Iter	Nodes	Cost
0	4924	326
1	4924	326

prune42.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	35	5	40

Merged error: 0b

Counts

40 → 5

Compiler

Compiled 429 to 139 computations (67.6% saved)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b	(/.f64 y (/.f64 z y))

rewrite23.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64_18498`
43×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
13×	`associate-/r*_binary64_18436`
6×	`add-exp-log_binary64_18530` `add-cbrt-cube_binary64_18528`
5×	`div-inv_binary64_18489`
3×	`div-exp_binary64_18543` `associate-/l*_binary64_18437` `cbrt-undiv_binary64_18526`
1×	`pow1_binary64_18553` `frac-2neg_binary64_18503` `associate-/r/_binary64_18438` `add-log-exp_binary64_18531` `clear-num_binary64_18491`

Counts

1 → 70

Calls

1 calls:

11.0ms

(/.f64 y (/.f64 z y))

series23.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

23.0ms

(/.f64 y (/.f64 z y))

simplify155.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (125.0ms)

Iter	Nodes	Cost
0	4907	1047
1	4907	1047

prune92.0ms (2.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	73	5	78

Merged error: 0b

Counts

78 → 5

Compiler

Compiled 1000 to 327 computations (67.3% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(pow.f64 (cbrt.f64 y) 2)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
1.7b	(.f64 (.f64 y (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) z))

rewrite53.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`associate-r_binary64_18432`
33×	`times-frac_binary64_18498`
30×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
29×	`add-exp-log_binary64_18530`
24×	`unpow-prod-down_binary64_18571`
18×	`cbrt-prod_binary64_18523`
14×	`add-cbrt-cube_binary64_18528`
12×	`prod-exp_binary64_18541`
10×	`pow1_binary64_18553`
6×	`div-exp_binary64_18543` `cbrt-unprod_binary64_18525`
4×	`sqr-pow_binary64_18464` `unpow2_binary64_18557` `add-log-exp_binary64_18531`
3×	`pow-unpow_binary64_18569` `pow1/3_binary64_18574` `pow-prod-down_binary64_18563` `pow-to-exp_binary64_18561` `pow-exp_binary64_18560`
2×	`pow-pow_binary64_18564` `cbrt-undiv_binary64_18526`
1×	`associate-r/_binary64_18434` `associate-l_binary64_18433` `-commutative_binary64_18423` `div-inv_binary64_18489`

Counts

4 → 105

Calls

4 calls:

26.0ms	(.f64 (.f64 y (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) z))
5.0ms	(pow.f64 (cbrt.f64 y) 2)
2.0ms	(cbrt.f64 y)
2.0ms	(cbrt.f64 y)

series548.0ms (14.4%)

Counts

4 → 12

Calls

4 calls:

179.0ms	(pow.f64 (cbrt.f64 y) 2)
166.0ms	(cbrt.f64 y)
146.0ms	(cbrt.f64 y)
56.0ms	(.f64 (.f64 y (cbrt.f64 y)) (/.f64 (pow.f64 (cbrt.f64 y) 2) z))

simplify117.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5210	1084

prune159.0ms (4.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	117	5	122

Merged error: 0b

Counts

122 → 5

Compiler

Compiled 1814 to 821 computations (54.7% saved)

regimes242.0ms (6.4%)

Compiler: Compiled 859 to 606 computations (29.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample1.1s (28.2%)

Algorithm

1×

intervals

Results

381.0ms	8000×	body	128	valid
41.0ms	906×	body	128	invalid

Compiler

Compiled 137 to 100 computations (27% saved)

Details

analyze620.0ms (16.3%)

sample28.0ms (0.7%)

simplify168.0ms (4.4%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

rewrite11.0ms (0.3%)

series25.0ms (0.7%)

simplify153.0ms (4%)

prune46.0ms (1.2%)

localize10.0ms (0.3%)

rewrite18.0ms (0.5%)

series25.0ms (0.7%)

simplify128.0ms (3.4%)

prune42.0ms (1.1%)

localize10.0ms (0.3%)

rewrite23.0ms (0.6%)

series23.0ms (0.6%)

simplify155.0ms (4.1%)

prune92.0ms (2.4%)

localize19.0ms (0.5%)

rewrite53.0ms (1.4%)

series548.0ms (14.4%)

simplify117.0ms (3.1%)

prune159.0ms (4.2%)

regimes242.0ms (6.4%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (28.2%)

Profiling