Details

analyze66.0ms (2.8%)

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
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample18.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify92.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	39	10

prune4.0ms (0.2%)

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 23 to 19 computations (17.4% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 x y))
0.0b	(*.f64 x (+.f64 x y))

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`*-un-lft-identity_binary64_16105` `add-sqr-sqrt_binary64_16127`
4×	`associate-r_binary64_16045`
3×	`add-cube-cbrt_binary64_16140` `add-exp-log_binary64_16143` `pow1_binary64_16166` `associate-l_binary64_16046` `add-cbrt-cube_binary64_16141`
2×	`associate-*r/_binary64_16047`
1×	`flip-+_binary64_16079` `cbrt-unprod_binary64_16138` `distribute-lft-in_binary64_16054` `add-log-exp_binary64_16144` `distribute-rgt-in_binary64_16055` `unswap-sqr_binary64_16073` `flip3-+_binary64_16108` `pow-prod-down_binary64_16176` `*-commutative_binary64_16036` `prod-exp_binary64_16154` `distribute-lft-out_binary64_16056`

Counts

1 → 23

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 x y))
0.0ms	(*.f64 x (+.f64 x y))

series73.0ms (3.1%)

Counts

1 → 12

Calls

1 calls:

73.0ms

(*.f64 x (+.f64 x y))

Compiler

Compiled 138 to 129 computations (6.5% saved)

simplify73.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4975	284
1	4975	284

prune24.0ms (1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	2	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Error

0.0b

Counts

37 → 4

Compiler

Compiled 388 to 163 computations (58% saved)

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 x y))
0.0b	(+.f64 (.f64 x x) (.f64 x y))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_16144`
1×	`*-un-lft-identity_binary64_16105` `flip-+_binary64_16079` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127` `add-exp-log_binary64_16143` `sum-log_binary64_16196` `+-commutative_binary64_16035` `flip3-+_binary64_16108` `pow1_binary64_16166` `add-cbrt-cube_binary64_16141` `distribute-lft-out_binary64_16056`

Counts

1 → 12

Calls

2 calls:

4.0ms	(+.f64 (.f64 x x) (.f64 x y))
0.0ms	(+.f64 (.f64 x x) (.f64 x y))

series78.0ms (3.3%)

Counts

1 → 12

Calls

1 calls:

78.0ms

(+.f64 (*.f64 x x) (*.f64 x y))

Compiler

Compiled 138 to 129 computations (6.5% saved)

simplify62.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	6158	209

prune14.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	24	4	28

Error

0.0b

Counts

28 → 4

Compiler

Compiled 265 to 117 computations (55.8% saved)

localize12.0ms (0.5%)

Local error

Found 8 expressions with local error:

0.7b	(cbrt.f64 x)
0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.3b	(*.f64 (+.f64 x y) (cbrt.f64 x))
0.2b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (+.f64 x y) (cbrt.f64 x)))
0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite16.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_16136`
23×	`add-sqr-sqrt_binary64_16127`
15×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140`
11×	`pow1_binary64_16166`
9×	`pow1/3_binary64_16187`
6×	`add-exp-log_binary64_16143` `swap-sqr_binary64_16072` `associate-r_binary64_16045` `associate-l_binary64_16046`
4×	`add-log-exp_binary64_16144` `unswap-sqr_binary64_16073` `add-cbrt-cube_binary64_16141`
2×	`pow-prod-up_binary64_16175` `pow-sqr_binary64_16078` `pow-prod-down_binary64_16176`
1×	`cbrt-unprod_binary64_16138` `pow-plus_binary64_16168` `*-commutative_binary64_16036` `prod-exp_binary64_16154` `pow2_binary64_16186`

Counts

4 → 73

Calls

8 calls:

7.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
0.0ms	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (+.f64 x y) (cbrt.f64 x)))

series329.0ms (14%)

Counts

4 → 12

Calls

4 calls:

91.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
81.0ms	(cbrt.f64 x)
79.0ms	(cbrt.f64 x)
77.0ms	(cbrt.f64 x)

Compiler

Compiled 394 to 310 computations (21.3% saved)

simplify79.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune65.0ms (2.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	5	89

Error

Counts

89 → 5

Compiler

Compiled 1444 to 496 computations (65.7% saved)

localize13.0ms (0.5%)

Local error

Found 8 expressions with local error:

0.2b	(*.f64 (sqrt.f64 (cbrt.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3))
0.1b	(.f64 (.f64 (sqrt.f64 (cbrt.f64 x)) (pow.f64 (sqrt.f64 (cbrt.f64 x)) 3)) (*.f64 (+.f64 x y) (cbrt.f64 x)))
0.0b	(sqrt.f64 (cbrt.f64 x))
0.0b	(sqrt.f64 (cbrt.f64 x))
0.4b	(pow.f64 (sqrt.f64 (cbrt.f64 x)) 3)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)
0.7b	(cbrt.f64 x)

rewrite14.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`cbrt-prod_binary64_16136`
14×	`*-un-lft-identity_binary64_16105` `add-cube-cbrt_binary64_16140` `add-sqr-sqrt_binary64_16127`
12×	`sqrt-prod_binary64_16121`
9×	`cube-prod_binary64_16133` `unpow-prod-down_binary64_16184`
6×	`pow1_binary64_16166`
5×	`add-exp-log_binary64_16143` `add-cbrt-cube_binary64_16141`
4×	`pow1/3_binary64_16187` `add-log-exp_binary64_16144` `pow-pow_binary64_16177`
3×	`pow-unpow_binary64_16182`
2×	`sqrt-pow1_binary64_16123`
1×	`unpow3_binary64_16171` `sqrt-pow2_binary64_16124` `pow-exp_binary64_16173` `pow-to-exp_binary64_16174` `rem-cube-cbrt_binary64_16128` `cube-mult_binary64_16135` `sqr-pow_binary64_16077` `pow1/2_binary64_16185`

Counts

4 → 72

Calls

8 calls:

4.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 x)) 3)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
0.0ms	(sqrt.f64 (cbrt.f64 x))

series342.0ms (14.5%)

Counts

4 → 12

Calls

4 calls:

118.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 x)) 3)
81.0ms	(cbrt.f64 x)
75.0ms	(cbrt.f64 x)
68.0ms	(cbrt.f64 x)

Compiler

Compiled 476 to 374 computations (21.4% saved)

simplify66.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5244	638

prune75.0ms (3.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	84	5	89

Error

Counts

89 → 5

Compiler

Compiled 1755 to 669 computations (61.9% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	90	182
1	90	182

regimes102.0ms (4.3%)

Compiler: Compiled 576 to 452 computations (21.5% saved)

bsearch0.0ms (0%)

regimes53.0ms (2.2%)

Compiler: Compiled 30 to 46 computations (-53.3% saved)

bsearch26.0ms (1.1%)

Steps

Iters	Range		Point
7	5.653596555670478e-79	3.2373455879227804e-77	2.490381128317894e-77
10	-1.3211700224985431e-18	-2.9473022619607827e-28	-4.833138391616769e-22

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes18.0ms (0.7%)

Compiler: Compiled 20 to 36 computations (-80% saved)

bsearch0.0ms (0%)

regimes18.0ms (0.8%)

Accuracy

Total 0.0b remaining (52.3%)

Threshold costs 0.0b (52.3%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch3.0ms (0.1%)

Compiler: Compiled 37 to 33 computations (10.8% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	47
1	29	47

end0.0ms (0%)

sample589.0ms (25%)

Algorithm

1×

intervals

Results

203.0ms	8000×	body	128	valid
4.0ms	150×	body	128	invalid

Compiler

Compiled 171 to 139 computations (18.7% saved)

Pareto

0.16431409948776535

Details

analyze66.0ms (2.8%)

sample18.0ms (0.8%)

simplify92.0ms (3.9%)

prune4.0ms (0.2%)

localize5.0ms (0.2%)

rewrite9.0ms (0.4%)

series73.0ms (3.1%)

simplify73.0ms (3.1%)

prune24.0ms (1%)

localize6.0ms (0.3%)

rewrite5.0ms (0.2%)

series78.0ms (3.3%)

simplify62.0ms (2.6%)

prune14.0ms (0.6%)

localize12.0ms (0.5%)

rewrite16.0ms (0.7%)

series329.0ms (14%)

simplify79.0ms (3.4%)

prune65.0ms (2.8%)

localize13.0ms (0.5%)

rewrite14.0ms (0.6%)

series342.0ms (14.5%)

simplify66.0ms (2.8%)

prune75.0ms (3.2%)

simplify5.0ms (0.2%)

regimes102.0ms (4.3%)

bsearch0.0ms (0%)

regimes53.0ms (2.2%)

bsearch26.0ms (1.1%)

regimes18.0ms (0.7%)

bsearch0.0ms (0%)

regimes18.0ms (0.8%)

bsearch3.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample589.0ms (25%)

Profiling