Details

analyze54.0ms (1.5%)

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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample15.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify100.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	48	10
1	48	10

prune8.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize6.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) y)
0.0b	(*.f64 (-.f64 x 4/29) 3)
0.0b	(-.f64 x 4/29)
0.0b	(-.f64 x 4/29)
0.0b	(*.f64 (-.f64 x 4/29) 3)
0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) y)

rewrite22.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_23629`
11×	`*-un-lft-identity_binary64_23607`
10×	`pow1_binary64_23668` `add-cbrt-cube_binary64_23643` `add-exp-log_binary64_23645`
7×	`add-cube-cbrt_binary64_23642`
6×	`associate-l_binary64_23548` `associate-l/_binary64_23550` `associate-r*_binary64_23547`
5×	`add-log-exp_binary64_23646`
4×	`prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `pow-prod-down_binary64_23678`
3×	`flip--_binary64_23582` `flip3--_binary64_23611` `cancel-sign-sub-inv_binary64_23573`
2×	`difference-of-squares_binary64_23576` `distribute-lft-out--_binary64_23559` `*-commutative_binary64_23538`
1×	`unswap-sqr_binary64_23575` `diff-log_binary64_23699` `sub-neg_binary64_23600`

Counts

3 → 58

Calls

6 calls:

8.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
7.0ms	(*.f64 (-.f64 x 4/29) 3)
4.0ms	(-.f64 x 4/29)
0.0ms	(-.f64 x 4/29)
0.0ms	(*.f64 (-.f64 x 4/29) 3)

series133.0ms (3.7%)

Counts

3 → 21

Calls

3 calls:

81.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
33.0ms	(*.f64 (-.f64 x 4/29) 3)
19.0ms	(-.f64 x 4/29)

Compiler

Compiled 221 to 218 computations (1.4% saved)

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4983	680
1	4983	680

prune72.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	73	6	79
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	73	7	80

Error

0.0b

Counts

80 → 7

Compiler

Compiled 873 to 667 computations (23.6% saved)

localize5.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (-.f64 x 4/29) (.f64 3 y))
0.0b	(-.f64 x 4/29)
0.0b	(-.f64 x 4/29)
0.2b	(.f64 (-.f64 x 4/29) (.f64 3 y))

rewrite17.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`*-un-lft-identity_binary64_23607` `add-sqr-sqrt_binary64_23629`
7×	`pow1_binary64_23668` `add-cbrt-cube_binary64_23643` `add-exp-log_binary64_23645`
5×	`associate-l_binary64_23548`
4×	`add-log-exp_binary64_23646` `add-cube-cbrt_binary64_23642`
3×	`prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `cancel-sign-sub-inv_binary64_23573` `pow-prod-down_binary64_23678`
2×	`difference-of-squares_binary64_23576` `distribute-lft-out--_binary64_23559` `flip--_binary64_23582` `flip3--_binary64_23611` `associate-*l/_binary64_23550`
1×	`diff-log_binary64_23699` `-commutative_binary64_23538` `sub-neg_binary64_23600` `associate-r*_binary64_23547`

Counts

2 → 38

Calls

4 calls:

8.0ms	(.f64 (-.f64 x 4/29) (.f64 3 y))
4.0ms	(-.f64 x 4/29)
3.0ms	(.f64 (-.f64 x 4/29) (.f64 3 y))
0.0ms	(-.f64 x 4/29)

series101.0ms (2.8%)

Counts

2 → 15

Calls

2 calls:

82.0ms	(.f64 (-.f64 x 4/29) (.f64 3 y))
18.0ms	(-.f64 x 4/29)

Compiler

Compiled 166 to 162 computations (2.4% saved)

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4903	462
1	4903	462

prune40.0ms (1.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	53	0	53
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	53	7	60

Error

0.0b

Counts

60 → 7

Compiler

Compiled 599 to 461 computations (23% saved)

localize10.0ms (0.3%)

Local error

Found 8 expressions with local error:

0.7b	(.f64 (.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
0.2b	(.f64 (.f64 (.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)
0.1b	(.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.0b	(-.f64 x 4/29)
0.0b	(-.f64 x 4/29)
0.1b	(.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
0.2b	(.f64 (.f64 (.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)
0.7b	(.f64 (.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))

rewrite55.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`pow1_binary64_23668` `add-exp-log_binary64_23645`
20×	`add-cbrt-cube_binary64_23643`
19×	`prod-exp_binary64_23656` `cbrt-unprod_binary64_23640` `pow-prod-down_binary64_23678`
14×	`add-sqr-sqrt_binary64_23629`
13×	`*-un-lft-identity_binary64_23607`
12×	`associate-*l/_binary64_23550`
10×	`associate-r_binary64_23547`
9×	`add-cube-cbrt_binary64_23642`
7×	`associate-l_binary64_23548`
6×	`add-log-exp_binary64_23646`
4×	`flip--_binary64_23582` `flip3--_binary64_23611`
3×	`*-commutative_binary64_23538` `cbrt-prod_binary64_23638` `cancel-sign-sub-inv_binary64_23573`
2×	`difference-of-squares_binary64_23576` `distribute-lft-out--_binary64_23559`
1×	`unswap-sqr_binary64_23575` `diff-log_binary64_23699` `sub-neg_binary64_23600`

Counts

4 → 91

Calls

8 calls:

19.0ms	(.f64 (.f64 (.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)
14.0ms	(.f64 (.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
10.0ms	(.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
4.0ms	(-.f64 x 4/29)
0.0ms	(-.f64 x 4/29)

series410.0ms (11.3%)

Counts

4 → 27

Calls

4 calls:

222.0ms	(.f64 (.f64 (.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3)) y)
91.0ms	(.f64 (.f64 (-.f64 x 4/29) (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (cbrt.f64 3))
75.0ms	(.f64 (-.f64 x 4/29) (.f64 (cbrt.f64 3) (cbrt.f64 3)))
22.0ms	(-.f64 x 4/29)

Compiler

Compiled 571 to 569 computations (0.4% saved)

simplify81.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4925	1195
1	4925	1195

prune106.0ms (2.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	118	7	125

Error

0.0b

Counts

125 → 7

Compiler

Compiled 1643 to 1350 computations (17.8% saved)

localize13.0ms (0.4%)

Local error

Found 8 expressions with local error:

0.0b	(.f64 (/.f64 (-.f64 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (+.f64 x 4/29)))) 3)
0.0b	(+.f64 16/841 (*.f64 x (+.f64 x 4/29)))
0.0b	(-.f64 (pow.f64 x 3) 64/24389)
0.0b	(+.f64 x 4/29)
0.0b	(.f64 (/.f64 (-.f64 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (+.f64 x 4/29)))) 3)
0.0b	(*.f64 x (+.f64 x 4/29))
0.2b	(.f64 (.f64 (/.f64 (-.f64 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) 3) y)
16.6b	(/.f64 (-.f64 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))

rewrite68.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

89×	`add-sqr-sqrt_binary64_23629`
49×	`*-un-lft-identity_binary64_23607` `times-frac_binary64_23613`
34×	`associate-l_binary64_23548`
33×	`add-cube-cbrt_binary64_23642`
28×	`difference-of-squares_binary64_23576`
22×	`add-cbrt-cube_binary64_23643` `add-exp-log_binary64_23645`
13×	`pow1_binary64_23668`
10×	`associate-r_binary64_23547`
8×	`associate-/l*_binary64_23552` `prod-exp_binary64_23656` `cbrt-unprod_binary64_23640`
7×	`cube-prod_binary64_23635` `distribute-lft-out--_binary64_23559` `sqr-pow_binary64_23579` `unpow-prod-down_binary64_23686`
5×	`pow-prod-down_binary64_23678`
4×	`associate-/r/_binary64_23553` `add-log-exp_binary64_23646`
3×	`unswap-sqr_binary64_23575` `flip-+_binary64_23581` `flip3-+_binary64_23610` `-commutative_binary64_23538` `cbrt-undiv_binary64_23641` `associate-l/_binary64_23550` `associate-/r*_binary64_23551` `div-exp_binary64_23658`
2×	`associate-/l/_binary64_23554` `div-inv_binary64_23604` `associate-*r/_binary64_23549`
1×	`div-sub_binary64_23612` `distribute-lft-out_binary64_23558` `flip--_binary64_23582` `flip3--_binary64_23611` `clear-num_binary64_23606` `frac-2neg_binary64_23618` `distribute-rgt-in_binary64_23557` `distribute-lft-in_binary64_23556`

Counts

4 → 145

Calls

8 calls:

16.0ms	(.f64 (/.f64 (-.f64 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (+.f64 x 4/29)))) 3)
15.0ms	(.f64 (.f64 (/.f64 (-.f64 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) 3) y)
14.0ms	(/.f64 (-.f64 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))
6.0ms	(*.f64 x (+.f64 x 4/29))
0.0ms	(+.f64 x 4/29)

series460.0ms (12.7%)

Counts

4 → 27

Calls

4 calls:

248.0ms	(.f64 (.f64 (/.f64 (-.f64 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 x 4/29)))) 3) y)
89.0ms	(.f64 (/.f64 (-.f64 (pow.f64 x 3) 64/24389) (+.f64 16/841 (.f64 x (+.f64 x 4/29)))) 3)
84.0ms	(/.f64 (-.f64 (pow.f64 x 3) 64/24389) (+.f64 16/841 (*.f64 x (+.f64 x 4/29))))
38.0ms	(*.f64 x (+.f64 x 4/29))

Compiler

Compiled 452 to 422 computations (6.6% saved)

simplify88.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

172 → 172

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5578	3866

prune249.0ms (6.9%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	1	2	3
Picked	0	1	1
Done	0	3	3
Total	172	7	179

Error

0.0b

Counts

179 → 7

Compiler

Compiled 4231 to 3320 computations (21.5% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	123	408
1	123	408

regimes82.0ms (2.3%)

Compiler: Compiled 542 to 508 computations (6.3% saved)

bsearch0.0ms (0%)

regimes96.0ms (2.7%)

Compiler: Compiled 46 to 66 computations (-43.5% saved)

bsearch30.0ms (0.8%)

Steps

Iters	Range		Point
8	9.871748638536765e-06	0.3809761429873134	0.1407298311331217
10	-103822685.83788441	-1.1373544660270938e-05	-0.13662751078619076

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes81.0ms (2.2%)

Compiler: Compiled 26 to 44 computations (-69.2% saved)

bsearch27.0ms (0.8%)

Steps

Iters	Range		Point
8	9.871748638536765e-06	0.3809761429873134	0.1407298311331217
10	-103822685.83788441	-1.1373544660270938e-05	-0.13662751078619076

Compiler

Compiled 1 to 2 computations (-100% saved)

regimes21.0ms (0.6%)

Compiler: Compiled 16 to 34 computations (-112.5% saved)

bsearch0.0ms (0%)

regimes16.0ms (0.4%)

Accuracy

Total 0.2b remaining (94.8%)

Threshold costs 0.2b (94.8%)

Compiler

Compiled 10 to 26 computations (-160% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 53 to 46 computations (13.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	70
1	37	70

end0.0ms (0%)

sample1.0s (27.9%)

Algorithm

1×

intervals

Results

229.0ms	8000×	body	128	valid
2.0ms	79×	body	128	invalid

Compiler

Compiled 335 to 313 computations (6.6% saved)

Pareto

0.6513413662458059

Details

analyze54.0ms (1.5%)

sample15.0ms (0.4%)

simplify100.0ms (2.7%)

prune8.0ms (0.2%)

localize6.0ms (0.2%)

rewrite22.0ms (0.6%)

series133.0ms (3.7%)

simplify69.0ms (1.9%)

prune72.0ms (2%)

localize5.0ms (0.1%)

rewrite17.0ms (0.5%)

series101.0ms (2.8%)

simplify71.0ms (1.9%)

prune40.0ms (1.1%)

localize10.0ms (0.3%)

rewrite55.0ms (1.5%)

series410.0ms (11.3%)

simplify81.0ms (2.2%)

prune106.0ms (2.9%)

localize13.0ms (0.4%)

rewrite68.0ms (1.9%)

series460.0ms (12.7%)

simplify88.0ms (2.4%)

prune249.0ms (6.9%)

simplify7.0ms (0.2%)

regimes82.0ms (2.3%)

bsearch0.0ms (0%)

regimes96.0ms (2.7%)

bsearch30.0ms (0.8%)

regimes81.0ms (2.2%)

bsearch27.0ms (0.8%)

regimes21.0ms (0.6%)

bsearch0.0ms (0%)

regimes16.0ms (0.4%)

bsearch4.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (27.9%)

Profiling