Details

analyze682.0ms (15.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	147	91
1	147	91
0	4	4
1	4	4

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 (0.4%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
2.0ms	65×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify8.0ms (0.2%)

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)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

7.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)
4.0ms	(+.f64 (*.f64 x y) z)

series114.0ms (2.6%)

Counts

3 → 9

Calls

3 calls:

58.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
36.0ms	(.f64 (+.f64 (.f64 x y) z) y)
20.0ms	(+.f64 (*.f64 x y) z)

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5443	719

prune45.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Error

0.0b

Counts

52 → 7

Compiler

Compiled 875 to 229 computations (73.8% saved)

localize11.0ms (0.2%)

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))

rewrite35.0ms (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)))
6.0ms	(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))

series469.0ms (10.7%)

Counts

4 → 12

Calls

4 calls:

135.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
115.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
111.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
109.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify83.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4916	1769
1	4916	1769

prune101.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	98	8	106

Error

0.0b

Counts

106 → 8

Compiler

Compiled 3115 to 696 computations (77.7% saved)

localize13.0ms (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))))
7.6b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
7.6b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
7.6b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

rewrite31.0ms (0.7%)

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)))

series639.0ms (14.5%)

Counts

4 → 12

Calls

4 calls:

189.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
153.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
150.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
147.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4966	1548
1	4966	1548

prune92.0ms (2.1%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	83	9	92

Error

0.0b

Counts

92 → 9

Compiler

Compiled 2867 to 597 computations (79.2% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 (*.f64 y x) z))))
0.6b	(cbrt.f64 y)
7.6b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
7.6b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`associate-*r/_binary64_4453`
16×	`cbrt-div_binary64_4543`
9×	`pow1_binary64_4572` `add-exp-log_binary64_4549`
8×	`flip-+_binary64_4485` `flip3-+_binary64_4514`
6×	`pow1/3_binary64_4593` `*-un-lft-identity_binary64_4511` `add-sqr-sqrt_binary64_4533` `add-cube-cbrt_binary64_4546` `cbrt-prod_binary64_4542`
5×	`add-cbrt-cube_binary64_4547` `pow-prod-down_binary64_4582`
4×	`add-log-exp_binary64_4550` `associate-l_binary64_4452` `frac-times_binary64_4521`
3×	`prod-exp_binary64_4560` `cbrt-unprod_binary64_4544`
2×	`associate-*l/_binary64_4454`
1×	`associate-r_binary64_4451` `*-commutative_binary64_4442`

Counts

4 → 61

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 (*.f64 y x) z))))
5.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
5.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
1.0ms	(cbrt.f64 y)

series557.0ms (12.7%)

Counts

4 → 12

Calls

4 calls:

194.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (.f64 (cbrt.f64 y) (cbrt.f64 (+.f64 (*.f64 y x) z))))
143.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
141.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
79.0ms	(cbrt.f64 y)

simplify87.0ms (2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4924	1524
1	4924	1524

prune73.0ms (1.7%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	73	9	82

Error

0.0b

Counts

82 → 9

Compiler

Compiled 2558 to 433 computations (83.1% saved)

regimes237.0ms (5.4%)

Accuracy

Total 0.1b remaining (88%)

Threshold costs 0.1b (88%)

Compiler

Compiled 2782 to 1676 computations (39.8% 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%)

sample904.0ms (20.5%)

Algorithm

1×

intervals

Results

242.0ms	8000×	body	128	valid
56.0ms	1862×	body	128	invalid

Compiler

Compiled 476 to 290 computations (39.1% saved)

Details

analyze682.0ms (15.5%)

sample19.0ms (0.4%)

simplify8.0ms (0.2%)

prune2.0ms (0.1%)

localize11.0ms (0.3%)

rewrite21.0ms (0.5%)

series114.0ms (2.6%)

simplify45.0ms (1%)

prune45.0ms (1%)

localize11.0ms (0.2%)

rewrite35.0ms (0.8%)

series469.0ms (10.7%)

simplify83.0ms (1.9%)

prune101.0ms (2.3%)

localize13.0ms (0.3%)

rewrite31.0ms (0.7%)

series639.0ms (14.5%)

simplify69.0ms (1.6%)

prune92.0ms (2.1%)

localize21.0ms (0.5%)

rewrite30.0ms (0.7%)

series557.0ms (12.7%)

simplify87.0ms (2%)

prune73.0ms (1.7%)

regimes237.0ms (5.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample904.0ms (20.5%)

Profiling