Details

analyze47.0ms (1.1%)

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
25%	74.9%	0.1%	3
62.4%	37.5%	0.1%	4
68.7%	31.2%	0.1%	5
68.7%	18.7%	12.6%	6
68.7%	17.2%	14.1%	7
68.7%	10.1%	21.2%	8
68.7%	9%	22.3%	9
68.7%	5.3%	26%	10
68.7%	4.6%	26.7%	11
68.7%	2.7%	28.6%	12
68.7%	2.3%	29%	13
68.7%	1.4%	30%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample841.0ms (20.5%)

Results

811.0ms	8256×	body	128	valid
2.0ms	27×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	8	13
2	8	13

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 30 to 18 computations (40% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series37.0ms (0.9%)

Counts

2 → 48

Calls

2 calls:

32.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

rewrite12.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
12×	`add-sqr-sqrt_binary64`
12×	`add-cube-cbrt_binary64`
5×	`distribute-lft-out_binary64`

Counts

2 → 52

Calls

2 calls:

6.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
3.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify85.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

806×	`fma-neg_binary64`
536×	`times-frac_binary64`
493×	`fma-def_binary64`
389×	`associate-/l*_binary64`
245×	`associate-/r*_binary64`

Counts

100 → 108

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	168	1981
1	449	1869
2	1403	1853
3	4915	1853
4	5640	1853

prune90.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	104	4	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	105	4	109

Error

Counts

109 → 4

Alt Table

Status	Error	Program
▶	0.5b	(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
	10.1b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
	0.5b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
	0.5b	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))

Compiler

Compiled 2317 to 881 computations (62% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	0.0b	(log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series789.0ms (19.2%)

Counts

2 → 48

Calls

2 calls:

757.0ms	(log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
32.0ms	(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`expm1-log1p-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
0.0ms	(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

simplify80.0ms (2%)

Algorithm

1×	egg-herbie

Rules

357×	`times-frac_binary64`
337×	`cancel-sign-sub-inv_binary64`
229×	`associate-/r*_binary64`
225×	`unswap-sqr_binary64`
211×	`associate-/l*_binary64`

Counts

70 → 67

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	251	3189
1	773	3027
2	3674	2850
3	5038	2850

prune175.0ms (4.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	175	4	179

Error

Counts

179 → 4

Alt Table

Status	Error	Program
✓	0.5b	(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
	10.1b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
	0.5b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
▶	0.5b	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))

Compiler

Compiled 6050 to 3116 computations (48.5% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
✓	0.5b	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))

series91.0ms (2.2%)

Counts

2 → 48

Calls

2 calls:

55.0ms	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))
36.0ms	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

108×	`times-frac_binary64`
92×	`*-un-lft-identity_binary64`
60×	`add-sqr-sqrt_binary64`
60×	`add-cube-cbrt_binary64`
19×	`associate-/r*_binary64`

Counts

2 → 125

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))
6.0ms	(/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a))

simplify136.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

794×	`times-frac_binary64`
487×	`fma-def_binary64`
362×	`fma-neg_binary64`
211×	`associate-/r/_binary64`
194×	`distribute-rgt-in_binary64`

Counts

173 → 194

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	4260
1	539	3945
2	1748	3867
3	4460	3864
4	5013	3864

prune185.0ms (4.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	233	0	233
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	233	4	237

Error

Counts

237 → 4

Alt Table

Status	Error	Program
✓	0.5b	(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
	10.1b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
▶	0.5b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	0.5b	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))

Compiler

Compiled 5097 to 1781 computations (65.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (exp.f64 a) (exp.f64 b))
✓	0.0b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
	0.5b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

series32.0ms (0.8%)

Counts

1 → 24

Calls

1 calls:

32.0ms

(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`log-pow_binary64`
18×	`exp-prod_binary64`
16×	`*-un-lft-identity_binary64`
12×	`times-frac_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

1 → 32

Calls

1 calls:

6.0ms

(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

simplify69.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

504×	`sub-neg_binary64`
471×	`times-frac_binary64`
314×	`associate-+l+_binary64`
293×	`associate-/l*_binary64`
286×	`fma-def_binary64`

Counts

56 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	1353
1	356	1273
2	1075	1255
3	4762	1252
4	5303	1252

prune256.0ms (6.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	175	4	179

Error

Counts

179 → 4

Alt Table

Status	Error	Program
✓	0.5b	(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
	10.1b	(-.f64 (+.f64 (/.f64 1 (+.f64 1 (exp.f64 b))) (/.f64 a (+.f64 1 (exp.f64 b)))) (/.f64 a (pow.f64 (+.f64 1 (exp.f64 b)) 2)))
✓	0.5b	(log.f64 (exp.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))
✓	0.5b	(/.f64 1 (/.f64 (+.f64 (exp.f64 a) (exp.f64 b)) (exp.f64 a)))

Compiler

Compiled 4228 to 1632 computations (61.4% saved)

regimes1.0s (25.2%)

Accuracy

Total 0.6b remaining (77.6%)

Threshold costs 0.6b (77.6%)

Counts

74 → 1

Compiler

Compiled 5868 to 4152 computations (29.2% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	10	17
2	10	17

end64.0ms (1.6%)

Compiler: Compiled 84 to 57 computations (32.1% saved)

Details

analyze47.0ms (1.1%)

sample841.0ms (20.5%)

simplify9.0ms (0.2%)

prune2.0ms (0%)

localize6.0ms (0.1%)

series37.0ms (0.9%)

rewrite12.0ms (0.3%)

simplify85.0ms (2.1%)

prune90.0ms (2.2%)

localize8.0ms (0.2%)

series789.0ms (19.2%)

rewrite1.0ms (0%)

simplify80.0ms (2%)

prune175.0ms (4.3%)

localize6.0ms (0.1%)

series91.0ms (2.2%)

rewrite30.0ms (0.7%)

simplify136.0ms (3.3%)

prune185.0ms (4.5%)

localize7.0ms (0.2%)

series32.0ms (0.8%)

rewrite9.0ms (0.2%)

simplify69.0ms (1.7%)

prune256.0ms (6.2%)

regimes1.0s (25.2%)

simplify7.0ms (0.2%)

end64.0ms (1.6%)

Profiling