Details

analyze423.0ms (13.8%)

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
9.4%	90.5%	0.1%	6
14%	85.8%	0.1%	7
22.6%	77.2%	0.1%	8
37.8%	60.5%	1.7%	9
40%	56%	4%	10
47.3%	48.7%	4%	11
56.8%	36.2%	7%	12
58.6%	32.4%	9%	13
63.4%	27.5%	9%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
1.0ms	26×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify138.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

1130×	`div-sub_binary64`
455×	`associate-/l*_binary64`
423×	`sub-neg_binary64`
377×	`associate-*l/_binary64`
366×	`neg-mul-1_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	10
2	27	10
3	54	10
4	99	10
5	155	10
6	255	10
7	876	10
8	2682	10
9	3301	10
10	3866	10
11	4221	10
12	4255	10
13	4445	10
14	4864	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

11.3b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	11.3b	(/.f64 (*.f64 x (-.f64 y z)) y)

Compiler

Compiled 20 to 12 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (-.f64 y z))
10.8b	(/.f64 (*.f64 x (-.f64 y z)) y)

rewrite56.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`add-cube-cbrt_binary64`

Counts

2 → 53

Calls

2 calls:

7.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
7.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 686 to 198 computations (71.1% saved)

series60.0ms (2%)

Error

2.7b

Counts

2 → 30

Calls

2 calls:

30.0ms	(/.f64 (*.f64 x (-.f64 y z)) y)
22.0ms	(*.f64 x (-.f64 y z))

Compiler

Compiled 526 to 312 computations (40.7% saved)

simplify72.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

670×	`times-frac_binary64`
645×	`associate-/l*_binary64`
254×	`div-sub_binary64`
250×	`associate-*l/_binary64`
214×	`distribute-rgt-in_binary64`

Counts

83 → 43

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	108	883
1	269	790
2	951	790
3	4220	790
4	5058	790

prune19.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	37	6	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	7	44

Error

0.0b

Counts

44 → 7

Alt Table

Status	Error	Program
✓	11.3b	(/.f64 (*.f64 x (-.f64 y z)) y)
	36.2b	(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (-.f64 y z)) (sqrt.f64 y))
	12.1b	(/.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (-.f64 y z)) (cbrt.f64 y))
	48.1b	(/.f64 (.f64 x (-.f64 (pow.f64 y 3) (pow.f64 z 3))) (+.f64 (pow.f64 y 3) (.f64 z (*.f64 y (+.f64 y z)))))
▶	2.4b	(*.f64 x (/.f64 (-.f64 y z) y))
	12.3b	(/.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (-.f64 y z) (cbrt.f64 x))) y)
	11.3b	(/.f64 (+.f64 (.f64 x y) (neg.f64 (.f64 x z))) y)

Compiler

Compiled 348 to 177 computations (49.1% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (-.f64 y z) y)
2.2b	(*.f64 x (/.f64 (-.f64 y z) y))

rewrite72.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

41×	`add-sqr-sqrt_binary64`
36×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`
22×	`add-cube-cbrt_binary64`
19×	`associate-r_binary64`

Counts

2 → 76

Calls

2 calls:

13.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
6.0ms	(/.f64 (-.f64 y z) y)

Compiler

Compiled 1020 to 242 computations (76.3% saved)

series52.0ms (1.7%)

Error

0.0b

Counts

2 → 27

Calls

2 calls:

28.0ms	(*.f64 x (/.f64 (-.f64 y z) y))
19.0ms	(/.f64 (-.f64 y z) y)

Compiler

Compiled 432 to 278 computations (35.6% saved)

simplify100.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

341×	`neg-mul-1_binary64`
303×	`associate-+l+_binary64`
287×	`associate-l_binary64`
262×	`associate-*l/_binary64`
260×	`associate-*r/_binary64`

Counts

103 → 55

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	1297
1	269	1202
2	859	1200
3	2599	1200
4	4568	1200
5	4989	1200

prune32.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	56	6	62

Error

0.0b

Counts

62 → 6

Alt Table

Status	Error	Program
	36.2b	(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (-.f64 y z)) (sqrt.f64 y))
	12.1b	(/.f64 (.f64 (/.f64 x (.f64 (cbrt.f64 y) (cbrt.f64 y))) (-.f64 y z)) (cbrt.f64 y))
	31.7b	(.f64 (.f64 x (sqrt.f64 (-.f64 y z))) (/.f64 (sqrt.f64 (-.f64 y z)) y))
	31.4b	(.f64 (sqrt.f64 x) (.f64 (-.f64 1 (/.f64 z y)) (sqrt.f64 x)))
✓	2.4b	(*.f64 x (/.f64 (-.f64 y z) y))
▶	11.3b	(/.f64 (+.f64 (.f64 x y) (neg.f64 (.f64 x z))) y)

Compiler

Compiled 602 to 253 computations (58% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

1.1b	(+.f64 (.f64 x y) (neg.f64 (.f64 x z)))
10.8b	(/.f64 (+.f64 (.f64 x y) (neg.f64 (.f64 x z))) y)

rewrite49.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

12×	`times-frac_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`

Counts

2 → 50

Calls

2 calls:

7.0ms	(/.f64 (+.f64 (.f64 x y) (neg.f64 (.f64 x z))) y)
4.0ms	(+.f64 (.f64 x y) (neg.f64 (.f64 x z)))

Compiler

Compiled 951 to 174 computations (81.7% saved)

series63.0ms (2.1%)

Error

0.0b

Counts

2 → 30

Calls

2 calls:

33.0ms	(/.f64 (+.f64 (.f64 x y) (neg.f64 (.f64 x z))) y)
24.0ms	(+.f64 (.f64 x y) (neg.f64 (.f64 x z)))

Compiler

Compiled 552 to 328 computations (40.6% saved)

simplify82.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

436×	`unsub-neg_binary64`
345×	`associate-/l*_binary64`
306×	`times-frac_binary64`
297×	`distribute-rgt-in_binary64`
292×	`associate-*l/_binary64`

Counts

80 → 63

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1039
1	249	963
2	891	949
3	3871	947
4	5001	947

prune27.0ms (0.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	61	2	63
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	62	7	69

Error

Counts

69 → 7

Alt Table

Status	Error	Program
	36.2b	(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (-.f64 y z)) (sqrt.f64 y))
	31.7b	(.f64 (.f64 x (sqrt.f64 (-.f64 y z))) (/.f64 (sqrt.f64 (-.f64 y z)) y))
▶	31.4b	(.f64 (sqrt.f64 x) (.f64 (-.f64 1 (/.f64 z y)) (sqrt.f64 x)))
✓	2.4b	(*.f64 x (/.f64 (-.f64 y z) y))
	36.5b	(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 x (-.f64 y z)) (sqrt.f64 y)))
	38.4b	(.f64 (sqrt.f64 (.f64 x (-.f64 y z))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) y))
✓	11.3b	(/.f64 (+.f64 (.f64 x y) (neg.f64 (.f64 x z))) y)

Compiler

Compiled 756 to 232 computations (69.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.4b	(.f64 (sqrt.f64 x) (.f64 (-.f64 1 (/.f64 z y)) (sqrt.f64 x)))
0.5b	(*.f64 (-.f64 1 (/.f64 z y)) (sqrt.f64 x))

rewrite57.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`add-sqr-sqrt_binary64`
14×	`associate-l_binary64`
11×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`

Counts

2 → 52

Calls

2 calls:

13.0ms	(*.f64 (-.f64 1 (/.f64 z y)) (sqrt.f64 x))
13.0ms	(.f64 (sqrt.f64 x) (.f64 (-.f64 1 (/.f64 z y)) (sqrt.f64 x)))

Compiler

Compiled 884 to 378 computations (57.2% saved)

series74.0ms (2.4%)

Error

Counts

2 → 30

Calls

2 calls:

36.0ms	(*.f64 (-.f64 1 (/.f64 z y)) (sqrt.f64 x))
31.0ms	(.f64 (sqrt.f64 x) (.f64 (-.f64 1 (/.f64 z y)) (sqrt.f64 x)))

Compiler

Compiled 683 to 414 computations (39.4% saved)

simplify85.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

422×	`times-frac_binary64`
398×	`associate-l_binary64`
363×	`associate-*r/_binary64`
361×	`associate-*l/_binary64`
337×	`associate-+l+_binary64`

Counts

82 → 64

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	1242
1	210	1045
2	603	1025
3	1592	1022
4	4703	1022
5	5237	1022

prune34.0ms (1.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	64	7	71

Error

Counts

71 → 7

Alt Table

Status	Error	Program
	36.2b	(/.f64 (*.f64 (/.f64 x (sqrt.f64 y)) (-.f64 y z)) (sqrt.f64 y))
	31.7b	(.f64 (.f64 x (sqrt.f64 (-.f64 y z))) (/.f64 (sqrt.f64 (-.f64 y z)) y))
	31.4b	(.f64 (sqrt.f64 x) (.f64 (-.f64 1 (/.f64 z y)) (sqrt.f64 x)))
	2.4b	(*.f64 x (/.f64 (-.f64 y z) y))
	36.5b	(.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (.f64 x (-.f64 y z)) (sqrt.f64 y)))
	38.4b	(.f64 (sqrt.f64 (.f64 x (-.f64 y z))) (/.f64 (sqrt.f64 (*.f64 x (-.f64 y z))) y))
	11.3b	(/.f64 (+.f64 (.f64 x y) (neg.f64 (.f64 x z))) y)

Compiler

Compiled 674 to 316 computations (53.1% saved)

regimes647.0ms (21.2%)

Accuracy

Total 1.9b remaining (98.8%)

Threshold costs 0b (0%)

Compiler

Compiled 4803 to 2679 computations (44.2% saved)

bsearch4.0ms (0.1%)

Compiler: Compiled 10 to 6 computations (40% saved)

simplify12.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
8×	`+-commutative_binary64`
8×	`sub-neg_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	60
1	36	60
2	49	60
3	62	60
4	70	60
5	73	60
6	74	60
7	73	60

end2.0ms (0.1%)

Compiler: Compiled 44 to 21 computations (52.3% saved)

sample854.0ms (28%)

Algorithm

1×

intervals

Results

311.0ms	8000×	body	128	valid
26.0ms	735×	body	128	invalid

Compiler

Compiled 159 to 88 computations (44.7% saved)

Details

analyze423.0ms (13.8%)

sample17.0ms (0.6%)

simplify138.0ms (4.5%)

prune2.0ms (0.1%)

localize5.0ms (0.1%)

rewrite56.0ms (1.8%)

series60.0ms (2%)

simplify72.0ms (2.3%)

prune19.0ms (0.6%)

localize4.0ms (0.1%)

rewrite72.0ms (2.4%)

series52.0ms (1.7%)

simplify100.0ms (3.3%)

prune32.0ms (1%)

localize7.0ms (0.2%)

rewrite49.0ms (1.6%)

series63.0ms (2.1%)

simplify82.0ms (2.7%)

prune27.0ms (0.9%)

localize7.0ms (0.2%)

rewrite57.0ms (1.9%)

series74.0ms (2.4%)

simplify85.0ms (2.8%)

prune34.0ms (1.1%)

regimes647.0ms (21.2%)

bsearch4.0ms (0.1%)

simplify12.0ms (0.4%)

end2.0ms (0.1%)

sample854.0ms (28%)

Profiling