Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample3.9s (67.5%)

Results

2.4s	4170×	body	1024	valid
742.0ms	2020×	body	512	valid
296.0ms	1050×	body	256	valid
280.0ms	450×	body	2048	valid
78.0ms	566×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 21 to 16 computations (23.8% saved)

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`expm1-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	3
1	11	3
2	12	3
3	10	3

prune5.0ms (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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(expm1.f64 x)

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize3.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 x)

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(expm1.f64 x)

rewrite80.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

404×	`log1p-udef_binary64`
233×	`log1p-expm1-u_binary64`
233×	`expm1-log1p-u_binary64`
231×	`add-sqr-sqrt_binary64`
215×	`add-cbrt-cube_binary64`

Counts

1 → 39

Calls

1 calls:

79.0ms

(expm1.f64 x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	56	3
2	621	3
3	4817	3
4	5395	3
0	0	0
1	0	0

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

892×	`fma-def_binary64`
804×	`unswap-sqr_binary64`
614×	`associate-/l/_binary64`
499×	`distribute-lft-out_binary64`
390×	`*-commutative_binary64`

Counts

51 → 47

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	70
1	54	70
2	113	70
3	284	64
4	787	63
5	1928	63
6	2926	63
7	3130	63
8	3771	63
9	5311	63

prune34.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	46	1	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	2	48

Error

Counts

48 → 2

Alt Table

Status	Error	Program
▶	49.4b	(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
✓	0.0b	(expm1.f64 x)

Compiler

Compiled 409 to 225 computations (45% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (expm1.f64 x) 5/2)
✓	0.2b	(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
✓	0.4b	(cbrt.f64 (sqrt.f64 (expm1.f64 x)))
✓	19.9b	(cbrt.f64 (pow.f64 (expm1.f64 x) 5/2))

series1.2s (21.2%)

Counts

4 → 48

Calls

4 calls:

481.0ms	(cbrt.f64 (pow.f64 (expm1.f64 x) 5/2))
369.0ms	(pow.f64 (expm1.f64 x) 5/2)
365.0ms	(cbrt.f64 (sqrt.f64 (expm1.f64 x)))
4.0ms	(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))

rewrite105.0ms (1.8%)

Algorithm

2×	batch-egg-rewrite

Rules

635×	`log1p-expm1-u_binary64`
635×	`expm1-log1p-u_binary64`
333×	`log-prod_binary64`
127×	`expm1-udef_binary64`
127×	`log1p-udef_binary64`

Counts

4 → 96

Calls

4 calls:

102.0ms	(pow.f64 (expm1.f64 x) 5/2)
102.0ms	(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
102.0ms	(cbrt.f64 (sqrt.f64 (expm1.f64 x)))
102.0ms	(cbrt.f64 (pow.f64 (expm1.f64 x) 5/2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	36
1	177	21
2	1680	21
3	4942	21
4	4860	21
0	0	0
1	0	0

simplify94.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

812×	`distribute-lft-out_binary64`
630×	`fma-def_binary64`
422×	`unswap-sqr_binary64`
419×	`fabs-mul_binary64`
334×	`associate-l_binary64`

Counts

144 → 130

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	506
1	216	500
2	458	460
3	984	454
4	2181	454
5	3625	454
6	4792	454
7	4888	454

prune101.0ms (1.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	130	2	132

Error

Counts

132 → 2

Alt Table

Status	Error	Program
✓	49.4b	(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 5/2)) (cbrt.f64 (sqrt.f64 (expm1.f64 x))))
✓	0.0b	(expm1.f64 x)

Compiler

Compiled 1817 to 1085 computations (40.3% saved)

regimes36.0ms (0.6%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

6 → 1

Compiler

Compiled 149 to 98 computations (34.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
1	3	3

end70.0ms (1.2%)

Compiler: Compiled 20 to 14 computations (30% saved)

Details

analyze5.0ms (0.1%)

sample3.9s (67.5%)

simplify13.0ms (0.2%)

prune5.0ms (0.1%)

localize3.0ms (0%)

series3.0ms (0.1%)

rewrite80.0ms (1.4%)

simplify81.0ms (1.4%)

prune34.0ms (0.6%)

localize15.0ms (0.3%)

series1.2s (21.2%)

rewrite105.0ms (1.8%)

simplify94.0ms (1.6%)

prune101.0ms (1.8%)

regimes36.0ms (0.6%)

simplify3.0ms (0%)

end70.0ms (1.2%)

Profiling