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)

sample50.0ms (1.6%)

Algorithm

1×

intervals

Results

27.0ms	83×	body	1024	valid
7.0ms	46×	body	512	valid
5.0ms	12×	body	2048	valid
3.0ms	95×	body	128	valid
2.0ms	20×	body	256	valid

Compiler

Compiled 9 to 10 computations (-11.1% saved)

simplify93.0ms (3%)

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

39.3b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.3b	(log.f64 (+.f64 1 x))

rewrite5.0ms (0.1%)

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

1 calls:

4.0ms

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

series13.0ms (0.4%)

Counts

1 → 3

Calls

1 calls:

13.0ms

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

simplify92.0ms (3%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4892	210
1	4892	210

prune24.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	17	1	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Error

0.0b

Counts

19 → 2

Compiler

Compiled 177 to 136 computations (23.2% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
0.1b	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
0.3b	(*.f64 x 1/3)

rewrite19.0ms (0.6%)

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

3 calls:

6.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
5.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
4.0ms	(*.f64 x 1/3)

series62.0ms (2%)

Counts

3 → 9

Calls

3 calls:

33.0ms	(.f64 x (+.f64 -1/2 (.f64 x 1/3)))
18.0ms	(.f64 x (+.f64 1 (.f64 x (+.f64 -1/2 (*.f64 x 1/3)))))
11.0ms	(*.f64 x 1/3)

simplify75.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5102	905

prune67.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	69	2	71
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	70	3	73

Error

0.0b

Counts

73 → 3

Compiler

Compiled 1190 to 888 computations (25.4% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
0.1b	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
0.3b	(*.f64 x 1/3)

rewrite23.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_441` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
9×	`associate-l_binary64_360`
8×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
7×	`associate-r_binary64_359`
6×	`associate-*r/_binary64_361`
5×	`pow-prod-down_binary64_490` `distribute-rgt-in_binary64_369` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `distribute-lft-in_binary64_368`
3×	`add-log-exp_binary64_458` `*-commutative_binary64_350`
2×	`flip3-+_binary64_422` `unswap-sqr_binary64_387` `flip-+_binary64_393`

Counts

3 → 64

Calls

3 calls:

8.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
7.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
4.0ms	(*.f64 x 1/3)

series94.0ms (3%)

Counts

3 → 9

Calls

3 calls:

49.0ms	(.f64 x (.f64 x (+.f64 (*.f64 x 1/3) -1/2)))
32.0ms	(.f64 x (+.f64 (.f64 x 1/3) -1/2))
12.0ms	(*.f64 x 1/3)

simplify58.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4933	822
1	4933	822

prune59.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	73	3	76

Error

0.0b

Counts

76 → 3

Compiler

Compiled 1138 to 779 computations (31.5% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x 1/3)
9.0b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))
9.0b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
9.0b	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))

rewrite17.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_441`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `cbrt-prod_binary64_450`
6×	`cbrt-div_binary64_451` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
4×	`add-log-exp_binary64_458`
3×	`flip3-+_binary64_422` `pow1/3_binary64_501` `associate-r_binary64_359` `associate-l_binary64_360` `flip-+_binary64_393`
1×	`pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `*-commutative_binary64_350`

Counts

4 → 57

Calls

4 calls:

4.0ms	(*.f64 x 1/3)
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
3.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
2.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))

series121.0ms (3.9%)

Counts

4 → 12

Calls

4 calls:

40.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
37.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 (.f64 x 1/3) -1/2))))
33.0ms	(cbrt.f64 (+.f64 1 (.f64 x (+.f64 -1/2 (.f64 x 1/3)))))
11.0ms	(*.f64 x 1/3)

simplify86.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4949	1341
1	4949	1341

prune148.0ms (4.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	69	3	72

Error

0.0b

Counts

72 → 3

Compiler

Compiled 2862 to 2284 computations (20.2% saved)

regimes108.0ms (3.5%)

Accuracy

Total 0.2b remaining (76.5%)

Threshold costs 0.2b (76.5%)

Compiler

Compiled 918 to 766 computations (16.6% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	31
1	23	31

end0.0ms (0%)

sample1.9s (59.6%)

Algorithm

1×

intervals

Results

904.0ms	2717×	body	1024	valid
214.0ms	1294×	body	512	valid
121.0ms	276×	body	2048	valid
98.0ms	3057×	body	128	valid
56.0ms	656×	body	256	valid

Compiler

Compiled 318 to 261 computations (17.9% saved)

Details

analyze3.0ms (0.1%)

sample50.0ms (1.6%)

simplify93.0ms (3%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite5.0ms (0.1%)

series13.0ms (0.4%)

simplify92.0ms (3%)

prune24.0ms (0.8%)

localize7.0ms (0.2%)

rewrite19.0ms (0.6%)

series62.0ms (2%)

simplify75.0ms (2.4%)

prune67.0ms (2.2%)

localize7.0ms (0.2%)

rewrite23.0ms (0.8%)

series94.0ms (3%)

simplify58.0ms (1.9%)

prune59.0ms (1.9%)

localize15.0ms (0.5%)

rewrite17.0ms (0.6%)

series121.0ms (3.9%)

simplify86.0ms (2.8%)

prune148.0ms (4.8%)

regimes108.0ms (3.5%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.9s (59.6%)

Profiling