Details

analyze4.0ms (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)

sample12.0ms (0.3%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

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%)

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)

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`
6×	`log-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
4×	`pow1_binary64` `associate-r_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 25

Calls

1 calls:

5.0ms

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

series126.0ms (3.1%)

Counts

1 → 3

Calls

1 calls:

126.0ms

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

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4834	265
1	4834	265

prune73.0ms (1.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	20	8	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	9	29

Merged error: 0.0b

Counts

29 → 9

Compiler

Compiled 914 to 451 computations (50.7% saved)

localize9.0ms (0.2%)

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)

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64` `associate-+r+_binary64` `cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64`
2×	`pow1/3_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

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))))
6.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series966.0ms (23.6%)

Counts

4 → 12

Calls

4 calls:

337.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2))
323.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (cbrt.f64 x))))
158.0ms	(cbrt.f64 x)
147.0ms	(cbrt.f64 x)

simplify74.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4877	760
1	4877	760

prune85.0ms (2.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	77	8	85

Merged error: 0b

Counts

85 → 8

Compiler

Compiled 1508 to 703 computations (53.4% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 x (log.f64 (pow.f64 x 1/3)))
0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
0.6b	(cbrt.f64 x)
5.1b	(pow.f64 x 1/3)

rewrite27.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`log-prod_binary64`
19×	`add-sqr-sqrt_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`unpow-prod-down_binary64`
14×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `associate-+r+_binary64`
7×	`pow1_binary64` `add-exp-log_binary64`
6×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
5×	`sqr-pow_binary64`
4×	`associate-r_binary64`
3×	`pow-unpow_binary64` `associate-l_binary64` `cbrt-prod_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `pow-pow_binary64` `log-pow_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `pow-exp_binary64` `unpow1/3_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 88

Calls

4 calls:

10.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
6.0ms	(*.f64 x (log.f64 (pow.f64 x 1/3)))
2.0ms	(pow.f64 x 1/3)
1.0ms	(cbrt.f64 x)

series1.0s (25.3%)

Counts

4 → 12

Calls

4 calls:

441.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 x)) 2)) (*.f64 x (log.f64 (pow.f64 x 1/3))))
306.0ms	(*.f64 x (log.f64 (pow.f64 x 1/3)))
158.0ms	(cbrt.f64 x)
134.0ms	(pow.f64 x 1/3)

simplify116.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4998	925
1	4998	925

prune99.0ms (2.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	2	3	5
Picked	0	1	1
Done	0	2	2
Total	100	8	108

Merged error: 0b

Counts

108 → 8

Compiler

Compiled 1846 to 963 computations (47.8% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt.f64 (cbrt.f64 x))
2.0ms	(cbrt.f64 (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series682.0ms (16.6%)

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt.f64 (cbrt.f64 x))
189.0ms	(cbrt.f64 (cbrt.f64 x))
156.0ms	(cbrt.f64 x)
146.0ms	(cbrt.f64 x)

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4930	466
1	4930	466

prune60.0ms (1.5%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	62	8	70

Merged error: 0b

Counts

70 → 8

Compiler

Compiled 1392 to 517 computations (62.9% saved)

regimes34.0ms (0.8%)

Compiler: Compiled 208 to 144 computations (30.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	5	6

end0.0ms (0%)

sample481.0ms (11.7%)

Algorithm

1×

intervals

Results

237.0ms	8000×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 108 to 76 computations (29.6% saved)

Details

analyze4.0ms (0.1%)

sample12.0ms (0.3%)

simplify7.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series126.0ms (3.1%)

simplify72.0ms (1.7%)

prune73.0ms (1.8%)

localize9.0ms (0.2%)

rewrite22.0ms (0.5%)

series966.0ms (23.6%)

simplify74.0ms (1.8%)

prune85.0ms (2.1%)

localize19.0ms (0.5%)

rewrite27.0ms (0.7%)

series1.0s (25.3%)

simplify116.0ms (2.8%)

prune99.0ms (2.4%)

localize16.0ms (0.4%)

rewrite10.0ms (0.3%)

series682.0ms (16.6%)

simplify52.0ms (1.3%)

prune60.0ms (1.5%)

regimes34.0ms (0.8%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample481.0ms (11.7%)

Profiling