Details

analyze569.0ms (14.5%)

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
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample19.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	50×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify99.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

prune2.0ms (0.1%)

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

Error

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite17.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_4533`
4×	`pow1_binary64_4572` `add-cbrt-cube_binary64_4547` `add-exp-log_binary64_4549` `add-log-exp_binary64_4550` `*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
3×	`associate-l_binary64_4452` `associate-r_binary64_4451`
2×	`flip-+_binary64_4485` `flip3-+_binary64_4514` `associate-*l/_binary64_4454`
1×	`unswap-sqr_binary64_4479` `+-commutative_binary64_4441` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `sum-log_binary64_4602` `pow-prod-down_binary64_4582` `*-commutative_binary64_4442`

Counts

2 → 31

Calls

2 calls:

8.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series96.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
35.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify38.0ms (1%)

Algorithm

1×	egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5192	559

prune35.0ms (0.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	30	7	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	8	38

Error

0.0b

Counts

38 → 8

Compiler

Compiled 707 to 197 computations (72.1% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4542`
23×	`add-sqr-sqrt_binary64_4533`
18×	`cbrt-div_binary64_4543`
15×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
11×	`pow1_binary64_4572`
9×	`pow1/3_binary64_4593` `flip-+_binary64_4485` `flip3-+_binary64_4514`
6×	`add-exp-log_binary64_4549` `associate-l_binary64_4452` `associate-r_binary64_4451` `swap-sqr_binary64_4478`
4×	`add-cbrt-cube_binary64_4547` `unswap-sqr_binary64_4479` `add-log-exp_binary64_4550` `frac-times_binary64_4521`
2×	`pow-prod-up_binary64_4581` `associate-r/_binary64_4453` `pow-sqr_binary64_4484` `pow-prod-down_binary64_4582` `associate-l/_binary64_4454`
1×	`pow-plus_binary64_4574` `pow2_binary64_4592` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))

series472.0ms (12%)

Counts

4 → 12

Calls

4 calls:

144.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
110.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
110.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
107.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify90.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4916	1769
1	4916	1769

prune99.0ms (2.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	99	8	107

Error

0.0b

Counts

107 → 8

Compiler

Compiled 3064 to 668 computations (78.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
8.9b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
8.9b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
8.9b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

rewrite32.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`associate-*r/_binary64_4453`
18×	`cbrt-div_binary64_4543`
11×	`pow1_binary64_4572`
10×	`add-sqr-sqrt_binary64_4533`
9×	`pow1/3_binary64_4593` `flip-+_binary64_4485` `flip3-+_binary64_4514`
8×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
7×	`cbrt-prod_binary64_4542`
6×	`add-exp-log_binary64_4549`
4×	`add-cbrt-cube_binary64_4547` `add-log-exp_binary64_4550` `associate-l_binary64_4452` `associate-r_binary64_4451` `swap-sqr_binary64_4478` `frac-times_binary64_4521`
2×	`pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `pow-prod-down_binary64_4582` `associate-*l/_binary64_4454`
1×	`pow-plus_binary64_4574` `unswap-sqr_binary64_4479` `pow2_binary64_4592` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
5.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
5.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
5.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

series584.0ms (14.9%)

Counts

4 → 12

Calls

4 calls:

171.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
139.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
138.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
135.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

simplify70.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4966	1548
1	4966	1548

prune85.0ms (2.2%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	84	8	92

Error

0.0b

Counts

92 → 8

Compiler

Compiled 2787 to 553 computations (80.2% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4542`
23×	`add-sqr-sqrt_binary64_4533`
15×	`*-un-lft-identity_binary64_4511` `add-cube-cbrt_binary64_4546`
11×	`pow1_binary64_4572`
9×	`pow1/3_binary64_4593`
6×	`add-exp-log_binary64_4549` `associate-l_binary64_4452` `associate-r_binary64_4451` `swap-sqr_binary64_4478`
4×	`add-cbrt-cube_binary64_4547` `unswap-sqr_binary64_4479` `add-log-exp_binary64_4550`
2×	`pow-prod-up_binary64_4581` `pow-sqr_binary64_4484` `pow-prod-down_binary64_4582`
1×	`pow-plus_binary64_4574` `pow2_binary64_4592` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`

Counts

4 → 73

Calls

4 calls:

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

series346.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

96.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
85.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)
82.0ms	(cbrt.f64 y)

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4892	563
1	4892	563

prune68.0ms (1.7%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	3	4
Picked	0	1	1
Done	0	3	3
Total	85	8	93

Error

0.0b

Counts

93 → 8

Compiler

Compiled 1584 to 442 computations (72.1% saved)

regimes197.0ms (5%)

Accuracy

Total 0.0b remaining (77.3%)

Threshold costs 0.0b (77.3%)

Compiler

Compiled 2056 to 1328 computations (35.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample854.0ms (21.7%)

Algorithm

1×

intervals

Results

252.0ms	8000×	body	128	valid
54.0ms	1817×	body	128	invalid

Compiler

Compiled 355 to 232 computations (34.6% saved)

Details

analyze569.0ms (14.5%)

sample19.0ms (0.5%)

simplify99.0ms (2.5%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite17.0ms (0.4%)

series96.0ms (2.4%)

simplify38.0ms (1%)

prune35.0ms (0.9%)

localize14.0ms (0.3%)

rewrite32.0ms (0.8%)

series472.0ms (12%)

simplify90.0ms (2.3%)

prune99.0ms (2.5%)

localize11.0ms (0.3%)

rewrite32.0ms (0.8%)

series584.0ms (14.9%)

simplify70.0ms (1.8%)

prune85.0ms (2.2%)

localize11.0ms (0.3%)

rewrite15.0ms (0.4%)

series346.0ms (8.8%)

simplify66.0ms (1.7%)

prune68.0ms (1.7%)

regimes197.0ms (5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample854.0ms (21.7%)

Profiling