Details

analyze1.0s (21.2%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4984	91
1	4984	91
0	4	4
1	4	4

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
17.2%	82.7%	0.2%	9
22.6%	77.2%	0.2%	10
25.7%	74.1%	0.2%	11
28.3%	69.9%	1.9%	12
40.1%	55.3%	4.6%	13
44.4%	49.9%	5.8%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample22.0ms (0.5%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
2.0ms	65×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify59.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	734	13
1	734	13

prune2.0ms (0%)

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: 2.8b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
7.0b	(*.f64 (-.f64 y x) (/.f64 z t))

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64_10671`
13×	`associate-r_binary64_10589`
12×	`*-un-lft-identity_binary64_10649`
10×	`times-frac_binary64_10655` `add-cube-cbrt_binary64_10684`
7×	`add-cbrt-cube_binary64_10685` `add-exp-log_binary64_10687`
5×	`associate-l_binary64_10590`
4×	`add-log-exp_binary64_10688` `pow1_binary64_10710`
2×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `associate-*l/_binary64_10592` `unswap-sqr_binary64_10617` `flip3--_binary64_10653` `flip--_binary64_10624` `frac-times_binary64_10659`
1×	`sum-log_binary64_10740` `pow-prod-down_binary64_10720` `difference-of-squares_binary64_10618` `+-commutative_binary64_10579` `div-exp_binary64_10700` `-commutative_binary64_10580` `cbrt-undiv_binary64_10683` `distribute-lft-out--_binary64_10601` `flip-+_binary64_10623` `div-inv_binary64_10646` `flip3-+_binary64_10652` `associate-r/_binary64_10591`

Counts

2 → 49

Calls

2 calls:

10.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
3.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series100.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

58.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
42.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5403	832

prune55.0ms (1.1%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	44	11	55
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	12	56

Merged error: 0.0b

Counts

56 → 12

Compiler

Compiled 1003 to 309 computations (69.2% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (-.f64 y x))
0.5b	(cbrt.f64 (-.f64 y x))
2.0b	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
5.2b	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))

rewrite61.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

116×	`cbrt-div_binary64_10681`
84×	`frac-times_binary64_10659`
58×	`flip3--_binary64_10653` `flip--_binary64_10624`
37×	`associate-*r/_binary64_10591`
31×	`add-sqr-sqrt_binary64_10671`
30×	`associate-*l/_binary64_10592` `add-exp-log_binary64_10687`
21×	`*-un-lft-identity_binary64_10649`
18×	`pow1_binary64_10710` `add-cbrt-cube_binary64_10685`
17×	`cbrt-prod_binary64_10680`
15×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `add-cube-cbrt_binary64_10684`
14×	`associate-l_binary64_10590`
11×	`times-frac_binary64_10655`
9×	`pow-prod-down_binary64_10720` `associate-r_binary64_10589`
4×	`add-log-exp_binary64_10688` `unswap-sqr_binary64_10617`
3×	`difference-of-squares_binary64_10618` `div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `distribute-lft-out--_binary64_10601`
2×	`*-commutative_binary64_10580` `pow1/3_binary64_10731`
1×	`div-inv_binary64_10646`

Counts

4 → 152

Calls

4 calls:

20.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))
15.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
3.0ms	(cbrt.f64 (-.f64 y x))
3.0ms	(cbrt.f64 (-.f64 y x))

series687.0ms (14.2%)

Counts

4 → 12

Calls

4 calls:

404.0ms	(*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x)))
115.0ms	(cbrt.f64 (-.f64 y x))
111.0ms	(cbrt.f64 (-.f64 y x))
57.0ms	(.f64 (.f64 (cbrt.f64 (-.f64 y x)) (cbrt.f64 (-.f64 y x))) (*.f64 (/.f64 z t) (cbrt.f64 (-.f64 y x))))

simplify108.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4949	4483
1	4949	4483

prune156.0ms (3.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	164	12	176

Merged error: 0.0b

Counts

176 → 12

Compiler

Compiled 4910 to 1174 computations (76.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.3b	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
11.4b	(cbrt.f64 (/.f64 z t))
11.4b	(cbrt.f64 (/.f64 z t))
11.4b	(cbrt.f64 (/.f64 z t))

rewrite30.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`cbrt-prod_binary64_10680`
29×	`add-sqr-sqrt_binary64_10671`
28×	`*-un-lft-identity_binary64_10649`
27×	`times-frac_binary64_10655`
26×	`add-cube-cbrt_binary64_10684`
15×	`cbrt-div_binary64_10681`
9×	`pow1_binary64_10710` `add-exp-log_binary64_10687` `frac-times_binary64_10659`
7×	`add-cbrt-cube_binary64_10685`
6×	`associate-*r/_binary64_10591`
5×	`associate-l/_binary64_10592` `associate-l*_binary64_10590`
4×	`add-log-exp_binary64_10688` `flip3--_binary64_10653` `flip--_binary64_10624`
3×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682` `pow-prod-down_binary64_10720` `pow1/3_binary64_10731` `div-inv_binary64_10646`
1×	`difference-of-squares_binary64_10618` `unswap-sqr_binary64_10617` `-commutative_binary64_10580` `distribute-lft-out--_binary64_10601` `associate-r*_binary64_10589`

Counts

4 → 98

Calls

4 calls:

14.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
2.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))
2.0ms	(cbrt.f64 (/.f64 z t))

series299.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

140.0ms	(.f64 (-.f64 y x) (.f64 (cbrt.f64 (/.f64 z t)) (cbrt.f64 (/.f64 z t))))
58.0ms	(cbrt.f64 (/.f64 z t))
50.0ms	(cbrt.f64 (/.f64 z t))
50.0ms	(cbrt.f64 (/.f64 z t))

simplify92.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4914	1560
1	4914	1560

prune101.0ms (2.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	8	9
Picked	0	1	1
Done	0	2	2
Total	110	12	122

Merged error: 0.0b

Counts

122 → 12

Compiler

Compiled 2817 to 724 computations (74.3% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
6.3b	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-exp-log_binary64_10687`
22×	`associate-r_binary64_10589`
20×	`*-un-lft-identity_binary64_10649` `add-sqr-sqrt_binary64_10671` `add-cube-cbrt_binary64_10684`
18×	`cbrt-prod_binary64_10680` `add-cbrt-cube_binary64_10685` `times-frac_binary64_10655`
13×	`pow1_binary64_10710`
12×	`prod-exp_binary64_10698` `cbrt-unprod_binary64_10682`
6×	`associate-*l/_binary64_10592` `pow-prod-down_binary64_10720`
4×	`add-log-exp_binary64_10688`
3×	`div-exp_binary64_10700` `cbrt-undiv_binary64_10683` `pow1/3_binary64_10731`
2×	`flip3--_binary64_10653` `flip--_binary64_10624` `frac-times_binary64_10659`
1×	`-commutative_binary64_10580` `div-inv_binary64_10646` `associate-l_binary64_10590` `associate-r/_binary64_10591`

Counts

4 → 84

Calls

4 calls:

17.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series379.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

120.0ms	(.f64 (.f64 (-.f64 y x) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (/.f64 (cbrt.f64 z) t))
93.0ms	(cbrt.f64 z)
85.0ms	(cbrt.f64 z)
80.0ms	(cbrt.f64 z)

simplify42.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5135	1116

prune68.0ms (1.4%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	8	8
Picked	0	1	1
Done	0	3	3
Total	96	12	108

Merged error: 0.0b

Counts

108 → 12

Compiler

Compiled 1710 to 484 computations (71.7% saved)

regimes336.0ms (6.9%)

Compiler: Compiled 2723 to 1807 computations (33.6% saved)

bsearch40.0ms (0.8%)

Steps

Iters	Range		Point
6	1.3322637074520984e-46	1.6354640393959033e-45	1.3572101721238357e-46
9	-9.072519680486351e-163	-7.688844441942154e-168	-1.646721226203448e-163

Compiler

Compiled 1 to 4 computations (-300% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	52
1	40	52

end0.0ms (0%)

sample1.0s (21.1%)

Algorithm

1×

intervals

Results

266.0ms	8000×	body	128	valid
67.0ms	2044×	body	128	invalid

Compiler

Compiled 488 to 311 computations (36.3% saved)

Details

analyze1.0s (21.2%)

sample22.0ms (0.5%)

simplify59.0ms (1.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite17.0ms (0.4%)

series100.0ms (2.1%)

simplify66.0ms (1.4%)

prune55.0ms (1.1%)

localize10.0ms (0.2%)

rewrite61.0ms (1.3%)

series687.0ms (14.2%)

simplify108.0ms (2.2%)

prune156.0ms (3.2%)

localize10.0ms (0.2%)

rewrite30.0ms (0.6%)

series299.0ms (6.2%)

simplify92.0ms (1.9%)

prune101.0ms (2.1%)

localize10.0ms (0.2%)

rewrite27.0ms (0.6%)

series379.0ms (7.8%)

simplify42.0ms (0.9%)

prune68.0ms (1.4%)

regimes336.0ms (6.9%)

bsearch40.0ms (0.8%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (21.1%)

Profiling