Details

analyze684.0ms (17.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample27.0ms (0.7%)

Algorithm

1×

intervals

Results

10.0ms	251×	body	128	valid
2.0ms	56×	body	128	invalid
0.0ms	2×	body	512	valid
0.0ms	2×	body	256	valid
0.0ms	1×	body	1024	valid

Compiler

Compiled 31 to 29 computations (6.5% saved)

simplify103.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	400	19
1	400	19

prune3.0ms (0.1%)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 26 to 24 computations (7.7% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
0.0b	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_4874`
4×	`add-exp-log_binary64_4890` `add-cube-cbrt_binary64_4887` `add-cbrt-cube_binary64_4888` `*-un-lft-identity_binary64_4852` `add-log-exp_binary64_4891` `pow1_binary64_4913`
3×	`associate-l_binary64_4793` `associate-r_binary64_4792`
2×	`flip-+_binary64_4826` `associate-+l+_binary64_4785` `associate-*r/_binary64_4794` `distribute-lft-in_binary64_4801` `distribute-rgt-in_binary64_4802` `flip3-+_binary64_4855`
1×	`+-commutative_binary64_4782` `unswap-sqr_binary64_4820` `cbrt-unprod_binary64_4885` `prod-exp_binary64_4901` `pow-prod-down_binary64_4923` `sum-log_binary64_4943` `*-commutative_binary64_4783`

Counts

2 → 35

Calls

2 calls:

15.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))
12.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))

series97.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(+.f64 (.f64 x (+.f64 (.f64 (+.f64 y z) 2) t)) (*.f64 y 5))
41.0ms	(.f64 x (+.f64 (.f64 (+.f64 y z) 2) t))

simplify59.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5022	763

prune49.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	35	6	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	6	42

Error

0.0b

Counts

42 → 6

Compiler

Compiled 954 to 568 computations (40.5% saved)

localize10.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 (+.f64 y z) 2) x) (+.f64 (.f64 y 5) (.f64 x t)))
0.0b	(+.f64 (.f64 y 5) (.f64 x t))
0.0b	(.f64 (.f64 (+.f64 y z) 2) x)

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*l/_binary64_4795`
10×	`add-log-exp_binary64_4891`
8×	`add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `pow1_binary64_4913`
7×	`flip-+_binary64_4826` `flip3-+_binary64_4855`
4×	`frac-add_binary64_4860` `add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852` `add-sqr-sqrt_binary64_4874` `sum-log_binary64_4943`
3×	`cbrt-unprod_binary64_4885` `associate-r_binary64_4792` `prod-exp_binary64_4901` `pow-prod-down_binary64_4923`
2×	`+-commutative_binary64_4782`
1×	`associate-l_binary64_4793` `associate-+r+_binary64_4784` `*-commutative_binary64_4783`

Counts

3 → 48

Calls

3 calls:

11.0ms	(+.f64 (.f64 (.f64 (+.f64 y z) 2) x) (+.f64 (.f64 y 5) (.f64 x t)))
7.0ms	(.f64 (.f64 (+.f64 y z) 2) x)
4.0ms	(+.f64 (.f64 y 5) (.f64 x t))

series114.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

53.0ms	(+.f64 (.f64 (.f64 (+.f64 y z) 2) x) (+.f64 (.f64 y 5) (.f64 x t)))
35.0ms	(.f64 (.f64 (+.f64 y z) 2) x)
27.0ms	(+.f64 (.f64 y 5) (.f64 x t))

simplify71.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4961	1221
1	4961	1221

prune60.0ms (1.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	57	6	63

Error

0.0b

Counts

63 → 6

Compiler

Compiled 1411 to 757 computations (46.4% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (cbrt.f64 (+.f64 (.f64 y 5) (.f64 x t))) (cbrt.f64 (+.f64 (.f64 y 5) (*.f64 x t))))
0.6b	(cbrt.f64 (+.f64 (.f64 y 5) (.f64 x t)))
0.6b	(cbrt.f64 (+.f64 (.f64 y 5) (.f64 x t)))
0.6b	(cbrt.f64 (+.f64 (.f64 y 5) (.f64 x t)))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4883`
23×	`add-sqr-sqrt_binary64_4874`
18×	`cbrt-div_binary64_4884`
15×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
11×	`pow1_binary64_4913`
9×	`flip-+_binary64_4826` `pow1/3_binary64_4934` `flip3-+_binary64_4855`
6×	`add-exp-log_binary64_4890` `associate-l_binary64_4793` `associate-r_binary64_4792` `swap-sqr_binary64_4819`
4×	`unswap-sqr_binary64_4820` `frac-times_binary64_4862` `add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891`
2×	`associate-r/_binary64_4794` `pow-prod-up_binary64_4922` `pow-sqr_binary64_4825` `associate-l/_binary64_4795` `pow-prod-down_binary64_4923`
1×	`cbrt-unprod_binary64_4885` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `pow2_binary64_4933` `*-commutative_binary64_4783`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y 5) (.f64 x t))) (cbrt.f64 (+.f64 (.f64 y 5) (*.f64 x t))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y 5) (.f64 x t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 y 5) (.f64 x t)))
4.0ms	(cbrt.f64 (+.f64 (.f64 y 5) (.f64 x t)))

series492.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

135.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y 5) (.f64 x t))) (cbrt.f64 (+.f64 (.f64 y 5) (*.f64 x t))))
125.0ms	(cbrt.f64 (+.f64 (.f64 y 5) (.f64 x t)))
123.0ms	(cbrt.f64 (+.f64 (.f64 y 5) (.f64 x t)))
108.0ms	(cbrt.f64 (+.f64 (.f64 y 5) (.f64 x t)))

simplify83.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4979	2229
1	4979	2229

prune173.0ms (4.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	99	6	105

Error

0.0b

Counts

105 → 6

Compiler

Compiled 4103 to 2339 computations (43% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)
0.6b	(cbrt.f64 x)

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4883`
23×	`add-sqr-sqrt_binary64_4874`
15×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
11×	`pow1_binary64_4913`
9×	`pow1/3_binary64_4934`
6×	`add-exp-log_binary64_4890` `associate-l_binary64_4793` `associate-r_binary64_4792` `swap-sqr_binary64_4819`
4×	`unswap-sqr_binary64_4820` `add-cbrt-cube_binary64_4888` `add-log-exp_binary64_4891`
2×	`pow-prod-up_binary64_4922` `pow-sqr_binary64_4825` `pow-prod-down_binary64_4923`
1×	`cbrt-unprod_binary64_4885` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `pow2_binary64_4933` `*-commutative_binary64_4783`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)
1.0ms	(cbrt.f64 x)

series367.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

109.0ms	(cbrt.f64 x)
97.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
85.0ms	(cbrt.f64 x)
76.0ms	(cbrt.f64 x)

simplify62.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune79.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Error

0.0b

Counts

91 → 6

Compiler

Compiled 1924 to 914 computations (52.5% saved)

regimes174.0ms (4.5%)

Accuracy

Total 0.0b remaining (60.2%)

Threshold costs 0.0b (60.2%)

Compiler

Compiled 1963 to 1566 computations (20.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	22
1	21	22

end0.0ms (0%)

sample1.0s (26.5%)

Algorithm

1×

intervals

Results

314.0ms	7749×	body	128	valid
74.0ms	1833×	body	128	invalid
18.0ms	111×	body	1024	valid
9.0ms	88×	body	512	valid
4.0ms	52×	body	256	valid

Compiler

Compiled 416 to 332 computations (20.2% saved)

Details

analyze684.0ms (17.6%)

sample27.0ms (0.7%)

simplify103.0ms (2.7%)

prune3.0ms (0.1%)

localize8.0ms (0.2%)

rewrite29.0ms (0.8%)

series97.0ms (2.5%)

simplify59.0ms (1.5%)

prune49.0ms (1.3%)

localize10.0ms (0.3%)

rewrite26.0ms (0.7%)

series114.0ms (2.9%)

simplify71.0ms (1.8%)

prune60.0ms (1.5%)

localize16.0ms (0.4%)

rewrite35.0ms (0.9%)

series492.0ms (12.7%)

simplify83.0ms (2.1%)

prune173.0ms (4.4%)

localize12.0ms (0.3%)

rewrite15.0ms (0.4%)

series367.0ms (9.5%)

simplify62.0ms (1.6%)

prune79.0ms (2%)

regimes174.0ms (4.5%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (26.5%)

Profiling