Details

analyze20.0ms (0.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
74.9%	25%	0.1%	3
87.4%	12.5%	0.1%	4
93.7%	6.2%	0.1%	5
93.7%	6.2%	0.1%	6
93.7%	4.7%	1.7%	7
93.7%	3.9%	2.4%	8
93.7%	2.7%	3.6%	9
93.7%	2.1%	4.2%	10
93.7%	1.5%	4.9%	11
93.7%	1.1%	5.2%	12
93.7%	0.8%	5.6%	13
93.7%	0.6%	5.8%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.4s (38.7%)

Results

993.0ms	8256×	body	128	valid
361.0ms	3035×	body	128	invalid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify11.0ms (0.3%)

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

prune3.0ms (0.1%)

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

0.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))

Compiler

Compiled 30 to 18 computations (40% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

series63.0ms (1.7%)

Counts

2 → 48

Calls

2 calls:

54.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
9.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

rewrite21.0ms (0.6%)

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:

10.0ms	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
5.0ms	(+.f64 (exp.f64 a) (exp.f64 b))

simplify154.0ms (4.2%)

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

prune126.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	107	2	109

Error

Counts

109 → 2

Alt Table

Status	Error	Program
✓	0.0b	(/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))
▶	0.0b	(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

Compiler

Compiled 2231 to 821 computations (63.2% saved)

localize16.0ms (0.4%)

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

series1.3s (35.2%)

Counts

2 → 48

Calls

2 calls:

1.2s	(log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
61.0ms	(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

rewrite3.0ms (0.1%)

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:

1.0ms	(log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b))))
1.0ms	(expm1.f64 (log1p.f64 (/.f64 (exp.f64 a) (+.f64 (exp.f64 a) (exp.f64 b)))))

simplify167.0ms (4.5%)

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

prune250.0ms (6.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	175	2	177

Error

Counts

177 → 2

Alt Table

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

Compiler

Compiled 5964 to 3056 computations (48.8% saved)

regimes59.0ms (1.6%)

Accuracy

Total 0.0b remaining (0.8%)

Threshold costs 0.0b (0.8%)

Counts

7 → 1

Compiler

Compiled 388 to 277 computations (28.6% saved)

simplify4.0ms (0.1%)

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

end52.0ms (1.4%)

Compiler: Compiled 46 to 30 computations (34.8% saved)

Details

analyze20.0ms (0.5%)

sample1.4s (38.7%)

simplify11.0ms (0.3%)

prune3.0ms (0.1%)

localize10.0ms (0.3%)

series63.0ms (1.7%)

rewrite21.0ms (0.6%)

simplify154.0ms (4.2%)

prune126.0ms (3.4%)

localize16.0ms (0.4%)

series1.3s (35.2%)

rewrite3.0ms (0.1%)

simplify167.0ms (4.5%)

prune250.0ms (6.8%)

regimes59.0ms (1.6%)

simplify4.0ms (0.1%)

end52.0ms (1.4%)

Profiling