Details

analyze233.0ms (4.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	74.9%	25.1%	6
6.2%	68.6%	25.1%	7
10.1%	64.7%	25.1%	8
17.2%	32.8%	50.1%	9
23%	26.9%	50.1%	10
26.8%	23.1%	50.1%	11
31.6%	18.3%	50.1%	12
35.2%	14.7%	50.1%	13
37.5%	12.4%	50.1%	14

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample20.0ms (0.4%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 25 to 24 computations (4% saved)

simplify105.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	1363	18
1	1363	18

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
0.0b	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
0.1b	(*.f64 (+.f64 y 1/2) (log.f64 y))
0.1b	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)

rewrite34.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-log-exp_binary64`
19×	`*-un-lft-identity_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`log-prod_binary64`
10×	`add-cube-cbrt_binary64`
7×	`pow1_binary64`
6×	`associate--r+_binary64` `diff-log_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `sum-log_binary64`
3×	`sub-neg_binary64` `distribute-lft-out_binary64`
2×	`flip3-+_binary64` `flip3--_binary64` `associate-+l-_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `flip-+_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `associate--l-_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `+-commutative_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 78

Calls

4 calls:

9.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
8.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
6.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
4.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))

series430.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

178.0ms	(*.f64 (+.f64 y 1/2) (log.f64 y))
103.0ms	(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
82.0ms	(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
67.0ms	(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))

simplify87.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4880	1613
1	4880	1613

prune109.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	82	8	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	9	91

Merged error: 0.0b

Counts

91 → 9

Compiler

Compiled 1825 to 1046 computations (42.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (-.f64 x (+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))) y)
0.3b	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
12×	`log-prod_binary64` `associate-+r+_binary64` `cbrt-prod_binary64`
10×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
8×	`associate-*l/_binary64`
6×	`flip3-+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
5×	`sum-log_binary64`
4×	`pow1_binary64` `frac-add_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`distribute-lft-out_binary64`
2×	`diff-log_binary64` `pow1/3_binary64` `+-commutative_binary64`
1×	`sub-neg_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `distribute-lft-out--_binary64`

Counts

4 → 67

Calls

4 calls:

17.0ms	(+.f64 (-.f64 x (+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))) y)
13.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series1.2s (22.8%)

Counts

4 → 12

Calls

4 calls:

753.0ms	(+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))
160.0ms	(+.f64 (-.f64 x (+.f64 (.f64 (+.f64 y 1/2) (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 y 1/2) (log.f64 (cbrt.f64 y))))) y)
150.0ms	(cbrt.f64 y)
144.0ms	(cbrt.f64 y)

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5425	1370

prune103.0ms (1.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	77	2	79
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	82	6	88

Merged error: 0b

Counts

88 → 6

Compiler

Compiled 2128 to 1245 computations (41.5% saved)

localize21.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 (cbrt.f64 y))
0.6b	(cbrt.f64 (cbrt.f64 y))

rewrite12.0ms (0.2%)

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

series731.0ms (13.8%)

Counts

4 → 12

Calls

4 calls:

224.0ms	(cbrt.f64 (cbrt.f64 y))
206.0ms	(cbrt.f64 (cbrt.f64 y))
153.0ms	(cbrt.f64 y)
149.0ms	(cbrt.f64 y)

simplify70.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4793	466
1	4793	466

prune89.0ms (1.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	62	6	68

Merged error: 0b

Counts

68 → 6

Compiler

Compiled 2115 to 1062 computations (49.8% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 x (.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2)))
0.1b	(+.f64 (-.f64 x (.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2))) y)
0.3b	(.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2))
0.6b	(cbrt.f64 y)

rewrite27.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-log-exp_binary64`
9×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
7×	`pow1_binary64` `add-cube-cbrt_binary64`
6×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
3×	`associate-r_binary64` `cbrt-prod_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `associate--r+_binary64` `diff-log_binary64` `associate-*r/_binary64` `pow1/3_binary64` `log-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `sum-log_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `associate-+l-_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

4 → 63

Calls

4 calls:

10.0ms	(.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2))
6.0ms	(+.f64 (-.f64 x (.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2))) y)
3.0ms	(-.f64 x (.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2)))
1.0ms	(cbrt.f64 y)

series880.0ms (16.6%)

Counts

4 → 12

Calls

4 calls:

443.0ms	(.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2))
153.0ms	(+.f64 (-.f64 x (.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2))) y)
147.0ms	(cbrt.f64 y)
137.0ms	(-.f64 x (.f64 (log.f64 (cbrt.f64 y)) (+.f64 (.f64 y 3) 3/2)))

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5353	1345

prune76.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	75	6	81

Merged error: 0b

Counts

81 → 6

Compiler

Compiled 1535 to 861 computations (43.9% saved)

regimes91.0ms (1.7%)

Compiler: Compiled 770 to 586 computations (23.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	18
1	64	18

end0.0ms (0%)

sample756.0ms (14.3%)

Algorithm

1×

intervals

Results

381.0ms	7999×	body	128	valid
2.0ms	38×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 181 to 140 computations (22.7% saved)

Details

analyze233.0ms (4.4%)

sample20.0ms (0.4%)

simplify105.0ms (2%)

prune2.0ms (0%)

localize12.0ms (0.2%)

rewrite34.0ms (0.6%)

series430.0ms (8.1%)

simplify87.0ms (1.6%)

prune109.0ms (2.1%)

localize14.0ms (0.3%)

rewrite41.0ms (0.8%)

series1.2s (22.8%)

simplify47.0ms (0.9%)

prune103.0ms (1.9%)

localize21.0ms (0.4%)

rewrite12.0ms (0.2%)

series731.0ms (13.8%)

simplify70.0ms (1.3%)

prune89.0ms (1.7%)

localize13.0ms (0.2%)

rewrite27.0ms (0.5%)

series880.0ms (16.6%)

simplify74.0ms (1.4%)

prune76.0ms (1.4%)

regimes91.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample756.0ms (14.3%)

Profiling