Details

analyze7.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	50%	25%	3
37.5%	25%	37.5%	4
43.7%	12.5%	43.8%	5
46.9%	6.2%	46.9%	6
48.4%	3.1%	48.5%	7
49.2%	1.6%	49.2%	8
49.6%	0.8%	49.6%	9
49.6%	0.4%	50%	10
49.7%	0.2%	50.1%	11
49.7%	0.1%	50.2%	12
49.7%	0%	50.2%	13
49.7%	0%	50.2%	14

Compiler

Compiled 5 to 4 computations (20% saved)

sample22.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify177.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6

prune4.0ms (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

Merged error: 0.3b

Counts

2 → 1

Compiler

Compiled 8 to 6 computations (25% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.3b	(*.f64 x (log.f64 x))

rewrite12.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_441`
6×	`log-prod_binary64_505`
5×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
4×	`associate-r_binary64_359` `pow1_binary64_480`
3×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `associate-l_binary64_360` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
1×	`pow-prod-down_binary64_490` `add-log-exp_binary64_458` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `log-pow_binary64_508` `*-commutative_binary64_350`

Counts

1 → 25

Calls

1 calls:

10.0ms

(*.f64 x (log.f64 x))

series135.0ms (2.5%)

Counts

1 → 3

Calls

1 calls:

135.0ms

(*.f64 x (log.f64 x))

simplify132.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4864	265
1	4864	265

prune39.0ms (0.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	21	7	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	8	29

Merged error: 0.0b

Counts

29 → 8

Compiler

Compiled 304 to 106 computations (65.1% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-+r+_binary64_351` `log-prod_binary64_505` `cbrt-prod_binary64_450`
11×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
9×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`
6×	`add-log-exp_binary64_458` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
3×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360`
2×	`pow1/3_binary64_501`
1×	`flip3-+_binary64_422` `associate-r_binary64_359` `sum-log_binary64_510` `distribute-lft-out_binary64_370` `*-commutative_binary64_350` `flip-+_binary64_393` `+-commutative_binary64_349`

Counts

4 → 64

Calls

4 calls:

13.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
8.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
2.0ms	(cbrt.f64 x)
2.0ms	(cbrt.f64 x)

series1.0s (18.8%)

Counts

4 → 12

Calls

4 calls:

370.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
333.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
157.0ms	(cbrt.f64 x)
155.0ms	(cbrt.f64 x)

simplify139.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (110.0ms)

Iter	Nodes	Cost
0	4912	760
1	4912	760

prune129.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	4	2	6
Picked	0	1	1
Done	0	1	1
Total	77	7	84

Merged error: 0b

Counts

84 → 7

Compiler

Compiled 1212 to 514 computations (57.6% saved)

localize26.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (*.f64 (log.f64 x) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 x))))
0.4b	(*.f64 (log.f64 x) 2/3)
0.6b	(cbrt.f64 (sqrt.f64 x))
0.6b	(cbrt.f64 (sqrt.f64 x))

rewrite40.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_450`
15×	`add-sqr-sqrt_binary64_441`
13×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
9×	`associate-+r+_binary64_351` `log-prod_binary64_505` `sqrt-prod_binary64_435`
7×	`pow1_binary64_480`
6×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
5×	`add-log-exp_binary64_458`
4×	`associate-l_binary64_360`
3×	`associate-r_binary64_359`
2×	`pow1/3_binary64_501`
1×	`flip3-+_binary64_422` `pow-prod-down_binary64_490` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `sum-log_binary64_510` `log-pow_binary64_508` `*-commutative_binary64_350` `flip-+_binary64_393` `+-commutative_binary64_349`

Counts

4 → 67

Calls

4 calls:

13.0ms	(+.f64 (*.f64 (log.f64 x) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 x))))
8.0ms	(*.f64 (log.f64 x) 2/3)
3.0ms	(cbrt.f64 (sqrt.f64 x))
3.0ms	(cbrt.f64 (sqrt.f64 x))

series581.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

258.0ms	(+.f64 (*.f64 (log.f64 x) 2/3) (log.f64 (cbrt.f64 (sqrt.f64 x))))
114.0ms	(cbrt.f64 (sqrt.f64 x))
108.0ms	(cbrt.f64 (sqrt.f64 x))
102.0ms	(*.f64 (log.f64 x) 2/3)

simplify228.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (198.0ms)

Iter	Nodes	Cost
0	4850	976
1	4850	976

prune142.0ms (2.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	79	7	86

Merged error: 0b

Counts

86 → 7

Compiler

Compiled 1863 to 712 computations (61.8% saved)

localize38.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (pow.f64 x 2/3))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 (cbrt.f64 x))
6.1b	(pow.f64 x 2/3)

rewrite23.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`cbrt-prod_binary64_450`
11×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
6×	`unpow-prod-down_binary64_498`
5×	`add-exp-log_binary64_457` `pow1_binary64_480`
4×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
3×	`pow1/3_binary64_501` `pow-unpow_binary64_496`
2×	`sqr-pow_binary64_391`
1×	`pow-exp_binary64_487` `pow-to-exp_binary64_488` `pow-pow_binary64_491`

Counts

4 → 57

Calls

4 calls:

4.0ms	(pow.f64 x 2/3)
4.0ms	(cbrt.f64 (pow.f64 x 2/3))
3.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 x)

series695.0ms (12.8%)

Counts

4 → 12

Calls

4 calls:

206.0ms	(cbrt.f64 (cbrt.f64 x))
201.0ms	(pow.f64 x 2/3)
151.0ms	(cbrt.f64 (pow.f64 x 2/3))
136.0ms	(cbrt.f64 x)

simplify97.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	5512	498

prune135.0ms (2.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	69	7	76

Merged error: 0b

Counts

76 → 7

Compiler

Compiled 1521 to 816 computations (46.4% saved)

regimes168.0ms (3.1%)

Compiler: Compiled 728 to 488 computations (33% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6

end0.0ms (0%)

sample1.4s (25.4%)

Algorithm

1×

intervals

Results

403.0ms

8000×

body

128

valid

Compiler

Compiled 368 to 248 computations (32.6% saved)

Details

analyze7.0ms (0.1%)

sample22.0ms (0.4%)

simplify177.0ms (3.3%)

prune4.0ms (0.1%)

localize7.0ms (0.1%)

rewrite12.0ms (0.2%)

series135.0ms (2.5%)

simplify132.0ms (2.4%)

prune39.0ms (0.7%)

localize16.0ms (0.3%)

rewrite34.0ms (0.6%)

series1.0s (18.8%)

simplify139.0ms (2.6%)

prune129.0ms (2.4%)

localize26.0ms (0.5%)

rewrite40.0ms (0.7%)

series581.0ms (10.7%)

simplify228.0ms (4.2%)

prune142.0ms (2.6%)

localize38.0ms (0.7%)

rewrite23.0ms (0.4%)

series695.0ms (12.8%)

simplify97.0ms (1.8%)

prune135.0ms (2.5%)

regimes168.0ms (3.1%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.4s (25.4%)

Profiling