Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

Compiler

Compiled 5 to 5 computations (0% saved)

sample53.0ms (1.9%)

Algorithm

1×

intervals

Results

33.0ms	100×	body	1024	valid
9.0ms	55×	body	512	valid
3.0ms	83×	body	128	valid
1.0ms	16×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify91.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	6
1	7	6

prune2.0ms (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

Error

42.3b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

3.1b	(log.f64 (+.f64 1 x))
3.1b	(log.f64 (+.f64 1 x))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64_419` `log-prod_binary64_505`
2×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `add-exp-log_binary64_457` `pow1_binary64_480` `log-div_binary64_506`
1×	`flip3-+_binary64_422` `add-log-exp_binary64_458` `rem-log-exp_binary64_460` `distribute-lft-out_binary64_370` `log-pow_binary64_508` `flip-+_binary64_393` `add-cbrt-cube_binary64_455`

Counts

1 → 15

Calls

2 calls:

4.0ms	(log.f64 (+.f64 1 x))
0.0ms	(log.f64 (+.f64 1 x))

series32.0ms (1.1%)

Counts

1 → 8

Calls

1 calls:

32.0ms

(log.f64 (+.f64 1 x))

Compiler

Compiled 112 to 99 computations (11.6% saved)

simplify82.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5302	245

prune28.0ms (1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

Counts

24 → 3

Compiler

Compiled 208 to 152 computations (26.9% saved)

localize7.0ms (0.2%)

Local error

Found 6 expressions with local error:

0.3b	(*.f64 x 1/3)
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.0b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.0b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.3b	(*.f64 x 1/3)

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64_441`
9×	`-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `associate-r_binary64_359` `associate-l*_binary64_360` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
4×	`associate-*r/_binary64_361`
3×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`
2×	`flip3-+_binary64_422` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `flip-+_binary64_393`

Counts

3 → 62

Calls

6 calls:

6.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
6.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
4.0ms	(*.f64 x 1/3)
0.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))

series99.0ms (3.5%)

Counts

3 → 14

Calls

3 calls:

48.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
34.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
17.0ms	(*.f64 x 1/3)

Compiler

Compiled 235 to 201 computations (14.5% saved)

simplify69.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5102	916

prune67.0ms (2.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Error

Counts

79 → 3

Compiler

Compiled 1173 to 870 computations (25.8% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 x x) 1/2)
0.0b	(.f64 (.f64 x x) 1/2)

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
3×	`pow-prod-down_binary64_490` `associate-r_binary64_359` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `add-sqr-sqrt_binary64_441`
2×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
1×	`add-log-exp_binary64_458` `unswap-sqr_binary64_387` `-commutative_binary64_350` `associate-l*_binary64_360`

Counts

1 → 19

Calls

2 calls:

6.0ms	(.f64 (.f64 x x) 1/2)
0.0ms	(.f64 (.f64 x x) 1/2)

series25.0ms (0.9%)

Counts

1 → 3

Calls

1 calls:

25.0ms

(*.f64 (*.f64 x x) 1/2)

Compiler

Compiled 42 to 36 computations (14.3% saved)

simplify55.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5001	181

prune13.0ms (0.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	22	0	22
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	22	3	25

Error

Counts

25 → 3

Compiler

Compiled 210 to 125 computations (40.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	95	115
1	95	115

regimes26.0ms (0.9%)

Compiler: Compiled 80 to 72 computations (10% saved)

bsearch18.0ms (0.6%)

Steps

Iters	Range		Point
11	4.0458063928646034e-20	302.52702270046814	0.0001449948157992588

Compiler

Compiled 1 to 1 computations (0% saved)

regimes18.0ms (0.6%)

Compiler: Compiled 26 to 25 computations (3.8% saved)

bsearch16.0ms (0.6%)

Steps

Iters	Range		Point
11	4.0458063928646034e-20	302.52702270046814	1.7105269244035937

Compiler

Compiled 1 to 1 computations (0% saved)

regimes18.0ms (0.6%)

Compiler: Compiled 24 to 23 computations (4.2% saved)

bsearch15.0ms (0.5%)

Steps

Iters	Range		Point
11	4.0458063928646034e-20	302.52702270046814	1.142643275337932

Compiler

Compiled 1 to 1 computations (0% saved)

regimes16.0ms (0.6%)

Compiler: Compiled 13 to 14 computations (-7.7% saved)

bsearch15.0ms (0.5%)

Steps

Iters	Range		Point
11	4.0458063928646034e-20	302.52702270046814	1.1071505472713281

Compiler

Compiled 1 to 1 computations (0% saved)

regimes13.0ms (0.4%)

Compiler: Compiled 6 to 9 computations (-50% saved)

bsearch13.0ms (0.5%)

Steps

Iters	Range		Point
11	4.0458063928646034e-20	302.52702270046814	1.0006723630715166

Compiler

Compiled 1 to 1 computations (0% saved)

regimes9.0ms (0.3%)

Accuracy

Total 0.1b remaining (73.8%)

Threshold costs 0.1b (73.8%)

Compiler

Compiled 5 to 8 computations (-60% saved)

bsearch5.0ms (0.2%)

Compiler: Compiled 71 to 57 computations (19.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	68	102
1	68	102

end0.0ms (0%)

sample2.0s (69.9%)

Algorithm

1×

intervals

Results

872.0ms	2658×	body	1024	valid
219.0ms	1336×	body	512	valid
121.0ms	279×	body	2048	valid
97.0ms	3084×	body	128	valid
54.0ms	643×	body	256	valid

Compiler

Compiled 173 to 148 computations (14.5% saved)

Pareto

0.6094272560484976

Details

analyze3.0ms (0.1%)

sample53.0ms (1.9%)

simplify91.0ms (3.2%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite5.0ms (0.2%)

series32.0ms (1.1%)

simplify82.0ms (2.9%)

prune28.0ms (1%)

localize7.0ms (0.2%)

rewrite22.0ms (0.8%)

series99.0ms (3.5%)

simplify69.0ms (2.4%)

prune67.0ms (2.3%)

localize4.0ms (0.1%)

rewrite8.0ms (0.3%)

series25.0ms (0.9%)

simplify55.0ms (1.9%)

prune13.0ms (0.5%)

simplify4.0ms (0.1%)

regimes26.0ms (0.9%)

bsearch18.0ms (0.6%)

regimes18.0ms (0.6%)

bsearch16.0ms (0.6%)

regimes18.0ms (0.6%)

bsearch15.0ms (0.5%)

regimes16.0ms (0.6%)

bsearch15.0ms (0.5%)

regimes13.0ms (0.4%)

bsearch13.0ms (0.5%)

regimes9.0ms (0.3%)

bsearch5.0ms (0.2%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.0s (69.9%)

Profiling