Details

analyze849.0ms (10.3%)

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
12.5%	87.4%	0.1%	7
15.6%	84.3%	0.1%	8
18.7%	71.8%	9.5%	9
23.4%	56%	20.6%	10
26.3%	52.2%	21.5%	11
31%	40.1%	28.9%	12
35.6%	28.9%	35.5%	13
36.8%	27.5%	35.7%	14

Compiler

Compiled 15 to 12 computations (20% saved)

sample44.0ms (0.5%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
6.0ms	74×	body	128	nan

Compiler

Compiled 29 to 26 computations (10.3% saved)

simplify172.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	38	18
1	38	18

prune6.0ms (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

Merged error: 21.6b

Counts

2 → 1

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize15.0ms (0.2%)

Local error

Found 2 expressions with local error:

2.2b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
20.5b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite29.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`add-sqr-sqrt_binary64_18514` `add-log-exp_binary64_18531`
3×	`pow1_binary64_18553` `sqrt-prod_binary64_18508` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
2×	`add-exp-log_binary64_18530` `flip-+_binary64_18466` `associate-+l+_binary64_18425` `add-cbrt-cube_binary64_18528` `flip3-+_binary64_18495` `sqrt-div_binary64_18509`
1×	`distribute-rgt-in_binary64_18442` `+-commutative_binary64_18422` `pow1/2_binary64_18572` `sum-log_binary64_18583` `sqrt-pow1_binary64_18510` `rem-sqrt-square_binary64_18505` `distribute-lft-in_binary64_18441`

Counts

2 → 28

Calls

2 calls:

14.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
12.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series263.0ms (3.2%)

Counts

2 → 6

Calls

2 calls:

223.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
39.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))

simplify100.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5007	693

prune70.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	30	4	34
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	5	35

Merged error: 21.6b

Counts

35 → 5

Compiler

Compiled 770 to 237 computations (69.2% saved)

localize22.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.2b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
2.2b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
20.5b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
20.5b	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite64.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64_18514` `add-log-exp_binary64_18531`
6×	`pow1_binary64_18553` `sqrt-prod_binary64_18508` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
4×	`add-exp-log_binary64_18530` `flip-+_binary64_18466` `associate-+l+_binary64_18425` `add-cbrt-cube_binary64_18528` `flip3-+_binary64_18495` `sqrt-div_binary64_18509`
2×	`distribute-rgt-in_binary64_18442` `+-commutative_binary64_18422` `pow1/2_binary64_18572` `sum-log_binary64_18583` `sqrt-pow1_binary64_18510` `rem-sqrt-square_binary64_18505` `distribute-lft-in_binary64_18441`

Counts

4 → 56

Calls

4 calls:

14.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
14.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
13.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
13.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series524.0ms (6.4%)

Counts

4 → 12

Calls

4 calls:

226.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
215.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
43.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
40.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	5007	1386

prune122.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	68	5	73

Merged error: 21.6b

Counts

73 → 5

Compiler

Compiled 2284 to 451 computations (80.3% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

2.2b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
2.2b	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
21.1b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
21.1b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite59.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-log-exp_binary64_18531`
6×	`add-sqr-sqrt_binary64_18514` `cbrt-prod_binary64_18523` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
4×	`add-exp-log_binary64_18530` `pow1_binary64_18553` `flip-+_binary64_18466` `associate-+l+_binary64_18425` `add-cbrt-cube_binary64_18528` `cbrt-div_binary64_18524` `flip3-+_binary64_18495`
2×	`distribute-rgt-in_binary64_18442` `+-commutative_binary64_18422` `pow1/3_binary64_18574` `sum-log_binary64_18583` `distribute-lft-in_binary64_18441`

Counts

4 → 52

Calls

4 calls:

13.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
13.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
12.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
11.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series963.0ms (11.7%)

Counts

4 → 12

Calls

4 calls:

438.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
436.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
47.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))
41.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 y z))

simplify114.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5000	1244

prune129.0ms (1.6%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	62	7	69

Merged error: 21.6b

Counts

69 → 7

Compiler

Compiled 2131 to 452 computations (78.8% saved)

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

7.2b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))) 2))
21.1b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
21.1b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
21.1b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

rewrite72.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`cbrt-prod_binary64_18523`
10×	`add-sqr-sqrt_binary64_18514` `add-cube-cbrt_binary64_18527` `*-un-lft-identity_binary64_18492`
6×	`unpow-prod-down_binary64_18571` `cbrt-div_binary64_18524`
4×	`add-exp-log_binary64_18530` `pow1_binary64_18553` `add-cbrt-cube_binary64_18528` `pow1/3_binary64_18574` `add-log-exp_binary64_18531`
3×	`flip-+_binary64_18466` `flip3-+_binary64_18495`
1×	`sqr-pow_binary64_18464` `unpow2_binary64_18557`

Counts

4 → 58

Calls

4 calls:

18.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))) 2))
13.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
13.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
12.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

series1.9s (23%)

Counts

4 → 12

Calls

4 calls:

677.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z))) 2))
415.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
402.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))
398.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 y z)))

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5499	1593

prune165.0ms (2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	70	7	77

Merged error: 21.6b

Counts

77 → 7

Compiler

Compiled 3269 to 792 computations (75.8% saved)

regimes372.0ms (4.5%)

Compiler: Compiled 2696 to 1442 computations (46.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	21
1	18	21

end0.0ms (0%)

sample1.9s (23.6%)

Algorithm

1×

intervals

Results

654.0ms	8000×	body	128	valid
178.0ms	2269×	body	128	nan

Compiler

Compiled 530 to 301 computations (43.2% saved)

Details

analyze849.0ms (10.3%)

sample44.0ms (0.5%)

simplify172.0ms (2.1%)

prune6.0ms (0.1%)

localize15.0ms (0.2%)

rewrite29.0ms (0.4%)

series263.0ms (3.2%)

simplify100.0ms (1.2%)

prune70.0ms (0.8%)

localize22.0ms (0.3%)

rewrite64.0ms (0.8%)

series524.0ms (6.4%)

simplify110.0ms (1.3%)

prune122.0ms (1.5%)

localize23.0ms (0.3%)

rewrite59.0ms (0.7%)

series963.0ms (11.7%)

simplify114.0ms (1.4%)

prune129.0ms (1.6%)

localize33.0ms (0.4%)

rewrite72.0ms (0.9%)

series1.9s (23%)

simplify80.0ms (1%)

prune165.0ms (2%)

regimes372.0ms (4.5%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample1.9s (23.6%)

Profiling