Details

analyze34.0ms (1.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	37.5%	62.5%	0
0%	37.5%	62.5%	1
0%	18.7%	81.3%	2
0%	9.4%	90.6%	3
0%	9.4%	90.6%	4
0%	7%	93%	5
1.2%	4.7%	94.1%	6
1.2%	3.5%	95.3%	7
1.8%	2.6%	95.6%	8
2%	1.9%	96%	9
2.4%	1.3%	96.3%	10
2.6%	1%	96.5%	11
2.7%	0.7%	96.6%	12
2.8%	0.5%	96.7%	13
2.9%	0.3%	96.7%	14

Compiler

Compiled 26 to 15 computations (42.3% saved)

sample1.1s (52.4%)

Results

974.0ms	8256×	body	128	valid
44.0ms	383×	body	128	invalid

Compiler

Compiled 67 to 38 computations (43.3% saved)

simplify46.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

704×	`fma-def_binary64`
643×	`fma-neg_binary64`
603×	`associate-/r*_binary64`
566×	`associate-l_binary64`
362×	`distribute-rgt-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	26	17
2	69	15
3	194	15
4	464	15
5	1521	15
6	4781	15
7	5160	15

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

15.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.6b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

Compiler

Compiled 49 to 29 computations (40.8% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 b (/.f64 b (*.f64 a a)) -1)
✓	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
✓	15.7b	(/.f64 b (*.f64 a a))

series62.0ms (3%)

Counts

3 → 72

Calls

3 calls:

27.0ms	(/.f64 b (*.f64 a a))
23.0ms	(fma.f64 b (/.f64 b (*.f64 a a)) -1)
12.0ms	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
8×	`add-cbrt-cube_binary64`
8×	`add-exp-log_binary64`
7×	`sqrt-prod_binary64`
7×	`*-un-lft-identity_binary64`

Counts

3 → 54

Calls

3 calls:

3.0ms	(/.f64 b (*.f64 a a))
1.0ms	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 b (*.f64 a a)) -1)))
0.0ms	(fma.f64 b (/.f64 b (*.f64 a a)) -1)

simplify76.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

661×	`associate-/l*_binary64`
603×	`fma-def_binary64`
491×	`associate-l_binary64`
486×	`associate-/l/_binary64`
431×	`associate-/r*_binary64`

Counts

126 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	1587
1	143	1492
2	293	1492
3	866	1490
4	4508	1490
5	5063	1490

prune41.0ms (2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	70	1	71

Error

0.0b

Counts

71 → 1

Alt Table

Status	Error	Program
▶	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))

Compiler

Compiled 1103 to 531 computations (51.9% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
✓	0.0b	(fma.f64 b (/.f64 (/.f64 b a) a) -1)
✓	0.2b	(/.f64 (/.f64 b a) a)

series61.0ms (2.9%)

Counts

3 → 72

Calls

3 calls:

27.0ms	(/.f64 (/.f64 b a) a)
23.0ms	(fma.f64 b (/.f64 (/.f64 b a) a) -1)
12.0ms	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

75×	`times-frac_binary64`
51×	`add-sqr-sqrt_binary64`
47×	`*-un-lft-identity_binary64`
47×	`add-cube-cbrt_binary64`
13×	`associate-/l*_binary64`

Counts

3 → 103

Calls

3 calls:

6.0ms	(/.f64 (/.f64 b a) a)
1.0ms	(sqrt.f64 (fabs.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
0.0ms	(fma.f64 b (/.f64 (/.f64 b a) a) -1)

simplify117.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

599×	`fma-def_binary64`
423×	`unswap-sqr_binary64`
394×	`fma-neg_binary64`
337×	`associate-/l/_binary64`
324×	`times-frac_binary64`

Counts

175 → 163

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	184	2634
1	347	2461
2	650	2389
3	1692	2365
4	2633	2345
5	4642	2345
6	4955	2345

prune86.0ms (4.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	162	2	164

Error

Counts

164 → 2

Alt Table

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

Compiler

Compiled 2911 to 1271 computations (56.3% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 b (/.f64 (/.f64 b a) a) -1)
✓	0.0b	(exp.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))
✓	0.0b	(log.f64 (exp.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
	0.2b	(/.f64 (/.f64 b a) a)

series33.0ms (1.6%)

Counts

2 → 48

Calls

2 calls:

23.0ms	(log.f64 (exp.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
10.0ms	(exp.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))

rewrite4.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`exp-prod_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`log-prod_binary64`

Counts

2 → 32

Calls

2 calls:

2.0ms	(log.f64 (exp.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1)))
1.0ms	(exp.f64 (fma.f64 b (/.f64 (/.f64 b a) a) -1))

simplify49.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

740×	`associate-l_binary64`
523×	`associate-*l/_binary64`
509×	`fma-def_binary64`
408×	`associate-*r/_binary64`
302×	`associate-/r/_binary64`

Counts

80 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	1333
1	126	1229
2	292	1211
3	1201	1205
4	5022	1205

prune118.0ms (5.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	199	2	201

Error

Counts

201 → 2

Alt Table

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

Compiler

Compiled 3882 to 1955 computations (49.6% saved)

regimes165.0ms (8%)

Accuracy

Total 0.0b remaining (35.1%)

Threshold costs 0.0b (35.1%)

Counts

19 → 1

Compiler

Compiled 2280 to 1552 computations (31.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	19
1	11	19

end46.0ms (2.2%)

Compiler: Compiled 54 to 38 computations (29.6% saved)

Details

analyze34.0ms (1.6%)

sample1.1s (52.4%)

simplify46.0ms (2.2%)

prune3.0ms (0.1%)

localize6.0ms (0.3%)

series62.0ms (3%)

rewrite7.0ms (0.3%)

simplify76.0ms (3.7%)

prune41.0ms (2%)

localize6.0ms (0.3%)

series61.0ms (2.9%)

rewrite14.0ms (0.7%)

simplify117.0ms (5.7%)

prune86.0ms (4.2%)

localize9.0ms (0.5%)

series33.0ms (1.6%)

rewrite4.0ms (0.2%)

simplify49.0ms (2.4%)

prune118.0ms (5.7%)

regimes165.0ms (8%)

simplify2.0ms (0.1%)

end46.0ms (2.2%)

Profiling