Details

analyze95.0ms (6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 20 to 11 computations (45% saved)

sample28.0ms (1.8%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true
0.0ms	3×	pre	128	false

Compiler

Compiled 37 to 21 computations (43.2% saved)

simplify53.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

603×	`associate-/r*_binary64`
566×	`associate-l_binary64`
494×	`associate-r_binary64`
376×	`fabs-div_binary64`
362×	`distribute-rgt-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	25	17
2	68	17
3	187	17
4	441	17
5	1424	17
6	4841	17
7	5086	17

prune3.0ms (0.2%)

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

13.8b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	13.8b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 39 to 27 computations (30.8% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))
29.5b	(/.f64 (.f64 b b) (.f64 a a))

rewrite40.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

14×	`add-cbrt-cube_binary64`
14×	`add-exp-log_binary64`
12×	`sqrt-prod_binary64`
12×	`add-sqr-sqrt_binary64`
9×	`fabs-mul_binary64`

Counts

2 → 47

Calls

2 calls:

8.0ms	(/.f64 (.f64 b b) (.f64 a a))
5.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 903 to 378 computations (58.1% saved)

series33.0ms (2.1%)

Error

13.8b

Counts

2 → 12

Calls

2 calls:

17.0ms	(/.f64 (.f64 b b) (.f64 a a))
15.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (/.f64 (.f64 b b) (.f64 a a)))))

Compiler

Compiled 325 to 275 computations (15.4% saved)

simplify98.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

742×	`times-frac_binary64`
516×	`distribute-neg-frac_binary64`
385×	`associate-/l*_binary64`
363×	`unswap-sqr_binary64`
337×	`cancel-sign-sub-inv_binary64`

Counts

59 → 39

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	1103
1	222	980
2	622	931
3	2953	904
4	4859	904
5	4994	904
6	4950	904

prune10.0ms (0.6%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	1	40

Error

0.0b

Counts

40 → 1

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (/.f64 b a)))))))

Compiler

Compiled 274 to 152 computations (44.5% saved)

localize9.0ms (0.6%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (/.f64 b a))
0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (/.f64 b a)))))))
4.1b	(exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))

rewrite77.0ms (4.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`add-sqr-sqrt_binary64`
47×	`log-prod_binary64`
34×	`exp-sum_binary64`
33×	`*-un-lft-identity_binary64`
31×	`times-frac_binary64`

Counts

3 → 92

Calls

3 calls:

13.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (/.f64 b a)))))))
3.0ms	(exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))
2.0ms	(log.f64 (/.f64 b a))

Compiler

Compiled 1836 to 1125 computations (38.7% saved)

series51.0ms (3.2%)

Error

0.0b

Counts

3 → 18

Calls

3 calls:

19.0ms	(log.f64 (/.f64 b a))
14.0ms	(sqrt.f64 (fabs.f64 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (/.f64 b a)))))))
13.0ms	(exp.f64 (*.f64 2 (log.f64 (/.f64 b a))))

Compiler

Compiled 596 to 511 computations (14.3% saved)

simplify81.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

643×	`times-frac_binary64`
513×	`unswap-sqr_binary64`
213×	`sub-neg_binary64`
188×	`sqr-pow_binary64`
131×	`unsub-neg_binary64`

Counts

110 → 85

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	254	1891
1	430	1748
2	833	1541
3	2181	1509
4	5299	1509

prune25.0ms (1.6%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	1	86

Error

0.0b

Counts

86 → 1

Alt Table

Status	Error	Program
	0.0b	(sqrt.f64 (fabs.f64 (-.f64 1 (exp.f64 (*.f64 2 (log.f64 (/.f64 b a)))))))

Compiler

Compiled 664 to 448 computations (32.5% saved)

regimes68.0ms (4.3%)

Accuracy

Total -0.0b remaining (-1.1%)

Threshold costs -0.0b (-1.1%)

Compiler

Compiled 993 to 673 computations (32.2% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	16	14
2	22	14
3	25	14
4	26	14
5	24	14

end1.0ms (0%)

Compiler: Compiled 11 to 9 computations (18.2% saved)

sample901.0ms (57%)

Algorithm

1×

intervals

Results

385.0ms	8000×	body	128	valid
161.0ms	8000×	pre	128	true
2.0ms	103×	pre	128	false

Compiler

Compiled 46 to 33 computations (28.3% saved)

Details

analyze95.0ms (6%)

sample28.0ms (1.8%)

simplify53.0ms (3.3%)

prune3.0ms (0.2%)

localize7.0ms (0.5%)

rewrite40.0ms (2.5%)

series33.0ms (2.1%)

simplify98.0ms (6.2%)

prune10.0ms (0.6%)

localize9.0ms (0.6%)

rewrite77.0ms (4.9%)

series51.0ms (3.2%)

simplify81.0ms (5.1%)

prune25.0ms (1.6%)

regimes68.0ms (4.3%)

simplify3.0ms (0.2%)

end1.0ms (0%)

sample901.0ms (57%)

Profiling