Details

analyze227.0ms (8.6%)

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
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.2%	3.3%	9
46.8%	46%	7.2%	10
58.5%	32.8%	8.7%	11
60.8%	27.9%	11.3%	12
63.8%	22.4%	13.8%	13
69.1%	16.5%	14.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample14.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	21×	body	128	invalid

Compiler

Compiled 15 to 16 computations (-6.7% saved)

simplify100.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

prune7.0ms (0.3%)

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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 17 to 16 computations (5.9% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))
0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3186`
1×	`*-un-lft-identity_binary64_3147` `add-exp-log_binary64_3185` `flip-+_binary64_3121` `add-cbrt-cube_binary64_3183` `flip3-+_binary64_3150` `add-sqr-sqrt_binary64_3169` `distribute-lft-out_binary64_3098` `pow1_binary64_3208` `+-commutative_binary64_3077` `add-cube-cbrt_binary64_3182` `sum-log_binary64_3238`

Counts

1 → 12

Calls

2 calls:

4.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 d3))
0.0ms	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

series99.0ms (3.8%)

Counts

1 → 15

Calls

1 calls:

99.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

Compiler

Compiled 132 to 126 computations (4.5% saved)

simplify74.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5248	233

prune16.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	27	0	27
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	27	2	29

Error

0.0b

Counts

29 → 2

Compiler

Compiled 202 to 48 computations (76.2% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 d3))
0.0b	(*.f64 d1 (+.f64 d2 d3))

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_3147` `add-sqr-sqrt_binary64_3169`
4×	`associate-r_binary64_3087`
3×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `pow1_binary64_3208` `add-cube-cbrt_binary64_3182` `associate-l_binary64_3088`
2×	`associate-*r/_binary64_3089`
1×	`*-commutative_binary64_3078` `unswap-sqr_binary64_3115` `flip-+_binary64_3121` `pow-prod-down_binary64_3218` `flip3-+_binary64_3150` `distribute-lft-out_binary64_3098` `prod-exp_binary64_3196` `distribute-lft-in_binary64_3096` `cbrt-unprod_binary64_3180` `add-log-exp_binary64_3186` `distribute-rgt-in_binary64_3097`

Counts

1 → 23

Calls

2 calls:

6.0ms	(*.f64 d1 (+.f64 d2 d3))
0.0ms	(*.f64 d1 (+.f64 d2 d3))

series84.0ms (3.2%)

Counts

1 → 15

Calls

1 calls:

84.0ms

(*.f64 d1 (+.f64 d2 d3))

Compiler

Compiled 132 to 126 computations (4.5% saved)

simplify99.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4890	305
1	4890	305

prune22.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	36	2	38
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	36	4	40

Error

0.0b

Counts

40 → 4

Compiler

Compiled 310 to 79 computations (74.5% saved)

localize8.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.6b	(cbrt.f64 d1)
0.5b	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
0.3b	(.f64 (.f64 (cbrt.f64 d1) (cbrt.f64 d1)) (*.f64 (+.f64 d2 d3) (cbrt.f64 d1)))
0.2b	(*.f64 (+.f64 d2 d3) (cbrt.f64 d1))
0.5b	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)
0.6b	(cbrt.f64 d1)

rewrite14.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_3178`
23×	`add-sqr-sqrt_binary64_3169`
15×	`*-un-lft-identity_binary64_3147` `add-cube-cbrt_binary64_3182`
11×	`pow1_binary64_3208`
9×	`pow1/3_binary64_3229`
6×	`add-exp-log_binary64_3185` `swap-sqr_binary64_3114` `associate-r_binary64_3087` `associate-l_binary64_3088`
4×	`unswap-sqr_binary64_3115` `add-cbrt-cube_binary64_3183` `add-log-exp_binary64_3186`
2×	`pow-prod-down_binary64_3218` `pow-prod-up_binary64_3217` `pow-sqr_binary64_3120`
1×	`*-commutative_binary64_3078` `prod-exp_binary64_3196` `pow-plus_binary64_3210` `pow2_binary64_3228` `cbrt-unprod_binary64_3180`

Counts

4 → 73

Calls

8 calls:

6.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
1.0ms	(cbrt.f64 d1)
1.0ms	(cbrt.f64 d1)
1.0ms	(cbrt.f64 d1)
0.0ms	(*.f64 (+.f64 d2 d3) (cbrt.f64 d1))

series333.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(*.f64 (cbrt.f64 d1) (cbrt.f64 d1))
88.0ms	(cbrt.f64 d1)
83.0ms	(cbrt.f64 d1)
73.0ms	(cbrt.f64 d1)

Compiler

Compiled 346 to 286 computations (17.3% saved)

simplify76.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune55.0ms (2.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	85	4	89

Error

0.0b

Counts

89 → 4

Compiler

Compiled 1244 to 306 computations (75.4% saved)

localize6.0ms (0.2%)

Local error

Found 8 expressions with local error:

0.1b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 d3))) (sqrt.f64 (+.f64 d2 d3)))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 d3)))
0.0b	(sqrt.f64 (+.f64 d2 d3))
0.0b	(sqrt.f64 (+.f64 d2 d3))
0.0b	(sqrt.f64 (+.f64 d2 d3))
0.0b	(sqrt.f64 (+.f64 d2 d3))
0.1b	(*.f64 d1 (sqrt.f64 (+.f64 d2 d3)))
0.1b	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 d3))) (sqrt.f64 (+.f64 d2 d3)))

rewrite34.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64_3147`
18×	`sqrt-div_binary64_3164`
17×	`add-sqr-sqrt_binary64_3169` `sqrt-prod_binary64_3163`
14×	`associate-r_binary64_3087`
13×	`pow1_binary64_3208`
11×	`add-exp-log_binary64_3185` `add-cbrt-cube_binary64_3183` `add-cube-cbrt_binary64_3182`
10×	`associate-*r/_binary64_3089`
9×	`flip-+_binary64_3121` `flip3-+_binary64_3150`
4×	`frac-times_binary64_3157` `pow-prod-down_binary64_3218` `distribute-lft-out_binary64_3098` `prod-exp_binary64_3196` `cbrt-unprod_binary64_3180` `add-log-exp_binary64_3186` `associate-l_binary64_3088`
2×	`-commutative_binary64_3078` `unswap-sqr_binary64_3115` `associate-l/_binary64_3090` `rem-sqrt-square_binary64_3160` `sqrt-pow1_binary64_3165` `pow1/2_binary64_3227`

Counts

4 → 87

Calls

8 calls:

12.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 d3))) (sqrt.f64 (+.f64 d2 d3)))
7.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 d3)))
3.0ms	(sqrt.f64 (+.f64 d2 d3))
3.0ms	(sqrt.f64 (+.f64 d2 d3))
0.0ms	(sqrt.f64 (+.f64 d2 d3))

series270.0ms (10.3%)

Counts

4 → 48

Calls

4 calls:

99.0ms	(*.f64 d1 (sqrt.f64 (+.f64 d2 d3)))
87.0ms	(.f64 (.f64 d1 (sqrt.f64 (+.f64 d2 d3))) (sqrt.f64 (+.f64 d2 d3)))
43.0ms	(sqrt.f64 (+.f64 d2 d3))
41.0ms	(sqrt.f64 (+.f64 d2 d3))

Compiler

Compiled 1048 to 878 computations (16.2% saved)

simplify98.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4938	1646
1	4938	1646

prune81.0ms (3.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	135	4	139

Error

0.0b

Counts

139 → 4

Compiler

Compiled 1935 to 474 computations (75.5% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	60	118
1	60	118

regimes73.0ms (2.8%)

Compiler: Compiled 344 to 310 computations (9.9% saved)

bsearch0.0ms (0%)

regimes32.0ms (1.2%)

Compiler: Compiled 48 to 93 computations (-93.8% saved)

bsearch0.0ms (0%)

regimes100.0ms (3.8%)

Compiler: Compiled 33 to 78 computations (-136.4% saved)

bsearch18.0ms (0.7%)

Steps

Iters	Range		Point
6	3.685335206455336e-80	3.858881377560687e-79	1.0651011586068433e-79
6	-8.761391730553971e+65	-6.794990625388005e+64	-6.949235449918628e+64

Compiler

Compiled 1 to 3 computations (-200% saved)

regimes27.0ms (1%)

Compiler: Compiled 24 to 66 computations (-175% saved)

bsearch0.0ms (0%)

regimes25.0ms (0.9%)

Accuracy

Total 0.0b remaining (81.8%)

Threshold costs 0.0b (81.8%)

Compiler

Compiled 15 to 54 computations (-260% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 34 to 34 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	45
1	26	45

end0.0ms (0%)

sample601.0ms (22.9%)

Algorithm

1×

intervals

Results

183.0ms	8000×	body	128	valid
18.0ms	691×	body	128	invalid

Compiler

Compiled 126 to 120 computations (4.8% saved)

Pareto

0.3998171872065754

Details

analyze227.0ms (8.6%)

sample14.0ms (0.5%)

simplify100.0ms (3.8%)

prune7.0ms (0.3%)

localize5.0ms (0.2%)

rewrite5.0ms (0.2%)

series99.0ms (3.8%)

simplify74.0ms (2.8%)

prune16.0ms (0.6%)

localize4.0ms (0.1%)

rewrite8.0ms (0.3%)

series84.0ms (3.2%)

simplify99.0ms (3.8%)

prune22.0ms (0.8%)

localize8.0ms (0.3%)

rewrite14.0ms (0.5%)

series333.0ms (12.7%)

simplify76.0ms (2.9%)

prune55.0ms (2.1%)

localize6.0ms (0.2%)

rewrite34.0ms (1.3%)

series270.0ms (10.3%)

simplify98.0ms (3.7%)

prune81.0ms (3.1%)

simplify4.0ms (0.2%)

regimes73.0ms (2.8%)

bsearch0.0ms (0%)

regimes32.0ms (1.2%)

bsearch0.0ms (0%)

regimes100.0ms (3.8%)

bsearch18.0ms (0.7%)

regimes27.0ms (1%)

bsearch0.0ms (0%)

regimes25.0ms (0.9%)

bsearch4.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample601.0ms (22.9%)

Profiling