Details

analyze94.0ms (3.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6
0	1	1
1	1	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)

sample11.0ms (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	5	6
1	5	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

0.3b

Counts

2 → 1

Compiler

Compiled 8 to 6 computations (25% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (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:

5.0ms

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

series71.0ms (2.5%)

Counts

1 → 3

Calls

1 calls:

71.0ms

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

simplify73.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4864	265
1	4864	265

prune21.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	22	6	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	7	29

Error

0.0b

Counts

29 → 7

Compiler

Compiled 286 to 100 computations (65% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
0.4b	(+.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)

rewrite21.0ms (0.7%)

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:

9.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
5.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series539.0ms (18.8%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
179.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
86.0ms	(cbrt.f64 x)
83.0ms	(cbrt.f64 x)

simplify78.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4912	760
1	4912	760

prune62.0ms (2.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	73	3	76
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	77	6	83

Error

Counts

83 → 6

Compiler

Compiled 1208 to 509 computations (57.9% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite8.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-prod_binary64_450`
9×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441`
4×	`pow1/3_binary64_501` `add-log-exp_binary64_458` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `pow1_binary64_480`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series353.0ms (12.3%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(cbrt.f64 (cbrt.f64 x))
85.0ms	(cbrt.f64 x)
80.0ms	(cbrt.f64 x)
76.0ms	(cbrt.f64 x)

simplify31.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	4984	391
1	4984	391

prune57.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	59	6	65

Error

Counts

65 → 6

Compiler

Compiled 1363 to 525 computations (61.5% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x (log.f64 (cbrt.f64 x)))
0.4b	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
0.6b	(cbrt.f64 x)
5.0b	(pow.f64 x 1/3)

rewrite22.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64_505`
19×	`add-sqr-sqrt_binary64_441`
17×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454`
15×	`cbrt-prod_binary64_450`
12×	`associate-+r+_binary64_351` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
8×	`pow1_binary64_480`
7×	`add-exp-log_binary64_457`
6×	`add-log-exp_binary64_458` `add-cbrt-cube_binary64_455`
5×	`associate-r_binary64_359`
3×	`unpow-prod-down_binary64_498` `associate-l_binary64_360` `pow-unpow_binary64_496`
2×	`pow1/3_binary64_501` `log-pow_binary64_508`
1×	`flip3-+_binary64_422` `pow-prod-down_binary64_490` `unpow1/3_binary64_486` `unswap-sqr_binary64_387` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `pow-exp_binary64_487` `sqr-pow_binary64_391` `sum-log_binary64_510` `distribute-lft-out_binary64_370` `pow-to-exp_binary64_488` `*-commutative_binary64_350` `flip-+_binary64_393` `pow-pow_binary64_491` `+-commutative_binary64_349`

Counts

4 → 85

Calls

4 calls:

7.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
5.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
2.0ms	(pow.f64 x 1/3)
1.0ms	(cbrt.f64 x)

series573.0ms (20%)

Counts

4 → 12

Calls

4 calls:

246.0ms	(+.f64 (.f64 x (.f64 (log.f64 (pow.f64 x 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
167.0ms	(*.f64 x (log.f64 (cbrt.f64 x)))
85.0ms	(pow.f64 x 1/3)
76.0ms	(cbrt.f64 x)

simplify84.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4939	979
1	4939	979

prune74.0ms (2.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	97	6	103

Error

Counts

103 → 6

Compiler

Compiled 1589 to 758 computations (52.3% saved)

regimes59.0ms (2.1%)

Accuracy

Total 0.3b remaining (98.1%)

Threshold costs 0.3b (98.1%)

Compiler

Compiled 442 to 272 computations (38.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6

end0.0ms (0%)

sample580.0ms (20.2%)

Algorithm

1×

intervals

Results

221.0ms	8000×	body	128	valid
0.0ms	2×	body	128	nan

Compiler

Compiled 225 to 140 computations (37.8% saved)

Details

analyze94.0ms (3.3%)

sample11.0ms (0.4%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series71.0ms (2.5%)

simplify73.0ms (2.5%)

prune21.0ms (0.7%)

localize9.0ms (0.3%)

rewrite21.0ms (0.7%)

series539.0ms (18.8%)

simplify78.0ms (2.7%)

prune62.0ms (2.2%)

localize13.0ms (0.5%)

rewrite8.0ms (0.3%)

series353.0ms (12.3%)

simplify31.0ms (1.1%)

prune57.0ms (2%)

localize13.0ms (0.5%)

rewrite22.0ms (0.8%)

series573.0ms (20%)

simplify84.0ms (2.9%)

prune74.0ms (2.6%)

regimes59.0ms (2.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample580.0ms (20.2%)

Profiling