Details

analyze6.0ms (0.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50%	0.4%	49.6%	10
50.2%	0.2%	49.6%	11
50.2%	0.1%	49.7%	12
50.2%	0%	49.8%	13
50.2%	0%	49.8%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample917.0ms (27.7%)

Results

847.0ms	8256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify44.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

668×	`div-sub_binary64`
499×	`fma-def_binary64`
417×	`times-frac_binary64`
411×	`associate-/l*_binary64`
366×	`associate-/r*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	19	9
2	45	9
3	89	7
4	191	7
5	438	7
6	1294	7
7	3635	7
8	5317	7

prune2.0ms (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	(exp.f64 (fma.f64 x x -1))

Compiler

Compiled 25 to 17 computations (32% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (fma.f64 x x -1))

series2.0ms (0.1%)

Counts

1 → 4

Calls

1 calls:

2.0ms

(exp.f64 (fma.f64 x x -1))

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`exp-prod_binary64`
2×	`add-log-exp_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 14

Calls

1 calls:

3.0ms

(exp.f64 (fma.f64 x x -1))

simplify53.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

431×	`fma-def_binary64`
418×	`exp-sum_binary64`
378×	`associate-l_binary64`
330×	`unswap-sqr_binary64`
324×	`distribute-lft-out_binary64`

Counts

18 → 23

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	221
1	84	206
2	178	190
3	528	183
4	1777	183
5	4482	183
6	5315	183

prune24.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	20	3	23
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	21	3	24

Error

0.0b

Counts

24 → 3

Alt Table

Status	Error	Program
	0.1b	(pow.f64 (exp.f64 (*.f64 (cbrt.f64 (fma.f64 x x -1)) (cbrt.f64 (fma.f64 x x -1)))) (cbrt.f64 (fma.f64 x x -1)))
▶	0.0b	(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
	2.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))

Compiler

Compiled 346 to 255 computations (26.3% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (fma.f64 x x -1))
✓	1.0b	(log1p.f64 (exp.f64 (fma.f64 x x -1)))
✓	1.0b	(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))

series257.0ms (7.7%)

Counts

2 → 24

Calls

2 calls:

254.0ms	(log1p.f64 (exp.f64 (fma.f64 x x -1)))
2.0ms	(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))

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 (exp.f64 (fma.f64 x x -1)))
0.0ms	(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))

simplify72.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

623×	`fma-neg_binary64`
402×	`unswap-sqr_binary64`
330×	`times-frac_binary64`
237×	`associate-/l*_binary64`
200×	`distribute-rgt-neg-in_binary64`

Counts

46 → 46

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	711
1	188	659
2	583	614
3	3024	609
4	4876	609
5	5102	609

prune51.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	68	1	69
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	69	3	72

Error

0.0b

Counts

72 → 3

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))) 1)
	2.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
✓	0.0b	(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))

Compiler

Compiled 1127 to 918 computations (18.5% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))) 1)
✓	0.0b	(exp.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
	0.0b	(exp.f64 (fma.f64 x x -1))
	1.0b	(log1p.f64 (exp.f64 (fma.f64 x x -1)))

series549.0ms (16.6%)

Counts

2 → 24

Calls

2 calls:

297.0ms	(exp.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
252.0ms	(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))) 1)

rewrite10.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
5×	`add-log-exp_binary64`

Counts

2 → 47

Calls

2 calls:

4.0ms	(exp.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
4.0ms	(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))) 1)

simplify106.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-def_binary64`
342×	`*-commutative_binary64`
225×	`+-commutative_binary64`
218×	`associate-+l+_binary64`
213×	`distribute-rgt-in_binary64`

Counts

71 → 81

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	78	921
1	150	835
2	326	794
3	979	758
4	2545	751
5	3820	747
6	4805	747
7	4988	744
8	4905	744

prune92.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	125	3	128

Error

0.0b

Counts

128 → 3

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))) 1)
▶	2.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
✓	0.0b	(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))

Compiler

Compiled 2348 to 1955 computations (16.7% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
✓	0.0b	(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
	0.0b	(exp.f64 (fma.f64 x x -1))
✓	1.0b	(cbrt.f64 (exp.f64 (fma.f64 x x -1)))

series570.0ms (17.2%)

Counts

3 → 36

Calls

3 calls:

347.0ms

(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))

221.0ms

(cbrt.f64 (exp.f64 (fma.f64 x x -1)))

2.0ms

(*.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))

rewrite30.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`cbrt-prod_binary64`
29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
16×	`pow1/3_binary64`
14×	`associate-r_binary64`

Counts

3 → 98

Calls

3 calls:

16.0ms

(*.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))

6.0ms

(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))

1.0ms

(cbrt.f64 (exp.f64 (fma.f64 x x -1)))

simplify157.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

813×	`fma-def_binary64`
551×	`unswap-sqr_binary64`
502×	`log-prod_binary64`
389×	`exp-sum_binary64`
359×	`exp-prod_binary64`

Counts

134 → 145

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	132	2132
1	268	2050
2	723	1818
3	1486	1652
4	3597	1361
5	4234	1361
6	4865	1361
7	4991	1361
8	4839	1361

prune174.0ms (5.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	265	1	266
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	266	3	269

Error

0.0b

Counts

269 → 3

Alt Table

Status	Error	Program
	63.8b	(.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))
✓	0.0b	(expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))
✓	0.1b	(-.f64 (exp.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1)))) 1)

Compiler

Compiled 6685 to 4922 computations (26.4% saved)

regimes102.0ms (3.1%)

Accuracy

Total -0.0b remaining (-5.8%)

Threshold costs -0.0b (-5.8%)

Counts

25 → 1

Compiler

Compiled 1587 to 1240 computations (21.9% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	7	11

end59.0ms (1.8%)

Compiler: Compiled 62 to 46 computations (25.8% saved)

Details

analyze6.0ms (0.2%)

sample917.0ms (27.7%)

simplify44.0ms (1.3%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

series2.0ms (0.1%)

rewrite3.0ms (0.1%)

simplify53.0ms (1.6%)

prune24.0ms (0.7%)

localize8.0ms (0.2%)

series257.0ms (7.7%)

rewrite1.0ms (0%)

simplify72.0ms (2.2%)

prune51.0ms (1.5%)

localize9.0ms (0.3%)

series549.0ms (16.6%)

rewrite10.0ms (0.3%)

simplify106.0ms (3.2%)

prune92.0ms (2.8%)

localize9.0ms (0.3%)

series570.0ms (17.2%)

rewrite30.0ms (0.9%)

simplify157.0ms (4.7%)

prune174.0ms (5.2%)

regimes102.0ms (3.1%)

simplify2.0ms (0.1%)

end59.0ms (1.8%)

Profiling