Details

analyze330.0ms (10%)

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
6.2%	93.6%	0.1%	6
15.6%	84.3%	0.1%	7
25%	74.9%	0.1%	8
37.4%	62.4%	0.1%	9
46.8%	53%	0.1%	10
55%	44.9%	0.1%	11
64.2%	35.7%	0.1%	12
70.3%	29.5%	0.1%	13
75.4%	24.4%	0.1%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample15.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	235×	body	80	valid
1.0ms	8×	body	1280	valid
1.0ms	7×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	80	invalid

Compiler

Compiled 23 to 20 computations (13% saved)

simplify15.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	150	13
1	150	13

prune5.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

rewrite9.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64`
3×	`*-un-lft-identity_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-+r+_binary64`

Counts

1 → 14

Calls

1 calls:

9.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

series6.0ms (0.2%)

Counts

1 → 3

Calls

1 calls:

6.0ms

(+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))

simplify71.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

17 → 17

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5082	303

prune18.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	14	4	18

Merged error: 0.0b

Counts

18 → 4

Compiler

Compiled 328 to 190 computations (42.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

rewrite45.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

20.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series196.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

62.0ms	(.f64 (cbrt.f64 (+.f64 x (+.f64 (.f64 (+.f64 x y) 2) z))) (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
46.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
44.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
44.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify104.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4850	2844
1	4850	2844

prune130.0ms (3.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	103	8	111

Merged error: 0.0b

Counts

111 → 8

Compiler

Compiled 4366 to 2492 computations (42.9% saved)

localize15.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))
0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))) 2)
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

rewrite38.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`cbrt-prod_binary64`
21×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
10×	`cbrt-div_binary64` `unpow-prod-down_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 74

Calls

4 calls:

10.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))) 2)
10.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
8.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
7.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

series245.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))) 2)
57.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
55.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
44.0ms	(cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z)))

simplify62.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5207	2106

prune150.0ms (4.5%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

Compiler

Compiled 4905 to 2948 computations (39.9% saved)

localize19.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b	(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))) 2)
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

rewrite40.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`cbrt-prod_binary64`
23×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
13×	`unpow-prod-down_binary64`
12×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `unpow2_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 80

Calls

4 calls:

12.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))) 2)
10.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
8.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
8.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

series258.0ms (7.8%)

Counts

4 → 12

Calls

4 calls:

92.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))) 2)
57.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
55.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))
54.0ms	(cbrt.f64 (cbrt.f64 (+.f64 x (+.f64 (*.f64 (+.f64 x y) 2) z))))

simplify69.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5778	2462

prune217.0ms (6.6%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

Compiler

Compiled 6526 to 4048 computations (38% saved)

regimes147.0ms (4.5%)

Compiler: Compiled 984 to 678 computations (31.1% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample1.1s (32.7%)

Algorithm

1×

intervals

Results

196.0ms	7401×	body	80	valid
20.0ms	177×	body	1280	valid
17.0ms	179×	body	640	valid
9.0ms	122×	body	320	valid
7.0ms	85×	body	160	valid
5.0ms	36×	body	2560	valid
0.0ms	11×	body	80	invalid

Compiler

Compiled 347 to 240 computations (30.8% saved)

Details

analyze330.0ms (10%)

sample15.0ms (0.5%)

simplify15.0ms (0.4%)

prune5.0ms (0.2%)

localize6.0ms (0.2%)

rewrite9.0ms (0.3%)

series6.0ms (0.2%)

simplify71.0ms (2.1%)

prune18.0ms (0.5%)

localize10.0ms (0.3%)

rewrite45.0ms (1.4%)

series196.0ms (5.9%)

simplify104.0ms (3.1%)

prune130.0ms (3.9%)

localize15.0ms (0.5%)

rewrite38.0ms (1.1%)

series245.0ms (7.4%)

simplify62.0ms (1.9%)

prune150.0ms (4.5%)

localize19.0ms (0.6%)

rewrite40.0ms (1.2%)

series258.0ms (7.8%)

simplify69.0ms (2.1%)

prune217.0ms (6.6%)

regimes147.0ms (4.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.1s (32.7%)

Profiling