Details

analyze6.0ms (0.4%)

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)

sample820.0ms (55.3%)

Results

777.0ms	8256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify21.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

417×	`times-frac_binary64`
412×	`associate-/l*_binary64`
360×	`associate-/r*_binary64`
350×	`associate-l_binary64`
200×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	19	9
2	50	9
3	111	7
4	236	7
5	531	7
6	1613	7

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.2%)

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 (0.3%)

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))

rewrite33.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

361×	`log1p-expm1-u_binary64`
361×	`expm1-log1p-u_binary64`
327×	`add-log-exp_binary64`
317×	`pow1_binary64`
205×	`unpow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	90	7
2	979	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

1 calls:

32.0ms

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

simplify34.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

724×	`distribute-lft-out_binary64`
385×	`*-commutative_binary64`
380×	`fma-def_binary64`
341×	`distribute-rgt-out_binary64`
340×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	81
1	55	79
2	136	63
3	448	56
4	1828	56
5	3578	56
6	4583	56

Stop Event

1×	node limit

Counts

53 → 56

prune50.0ms (3.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	55	2	57

Error

0.0b

Counts

57 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
✓	0.0b	(exp.f64 (fma.f64 x x -1))

Compiler

Compiled 749 to 550 computations (26.6% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

series7.0ms (0.5%)

Counts

2 → 24

Calls

2 calls:

5.0ms	(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
2.0ms	(pow.f64 (exp.f64 x) x)

rewrite44.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

528×	`log1p-expm1-u_binary64`
528×	`expm1-log1p-u_binary64`
431×	`unpow-prod-down_binary64`
285×	`log-prod_binary64`
163×	`pow2_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	132	15
2	1482	13

Stop Event

1×	node limit

Counts

2 → 65

Calls

2 calls:

43.0ms	(pow.f64 (exp.f64 x) x)
43.0ms	(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))

simplify36.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

512×	`fma-def_binary64`
439×	`*-commutative_binary64`
437×	`distribute-rgt-out_binary64`
424×	`associate-l_binary64`
349×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	32	244
1	84	216
2	208	200
3	592	195
4	2307	195
5	4558	195

Stop Event

1×	node limit

Counts

89 → 82

prune54.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Error

Counts

84 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
▶	0.0b	(.f64 (exp.f64 -1) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 1/2)) (pow.f64 (.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (*.f64 x 1/2))))
✓	0.0b	(exp.f64 (fma.f64 x x -1))

Compiler

Compiled 1204 to 757 computations (37.1% saved)

localize13.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 1/2))
✓	0.0b	(.f64 (exp.f64 -1) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 1/2)) (pow.f64 (.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (*.f64 x 1/2))))
✓	0.0b	(.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 1/2)) (pow.f64 (.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (.f64 x 1/2)))
✓	0.0b	(*.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x))

series32.0ms (2.1%)

Counts

4 → 48

Calls

4 calls:

13.0ms	(.f64 (exp.f64 -1) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 1/2)) (pow.f64 (.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (*.f64 x 1/2))))
9.0ms	(.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 1/2)) (pow.f64 (.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (.f64 x 1/2)))
7.0ms	(*.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x))
2.0ms	(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 1/2))

rewrite47.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

568×	`log-prod_binary64`
222×	`log-pow_binary64`
192×	`expm1-udef_binary64`
192×	`log1p-udef_binary64`
144×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	72
1	265	32
2	3027	28

Stop Event

1×	node limit

Counts

4 → 81

Calls

4 calls:

45.0ms	(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 1/2))
45.0ms	(.f64 (exp.f64 -1) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 1/2)) (pow.f64 (.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (*.f64 x 1/2))))
45.0ms	(.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 1/2)) (pow.f64 (.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (.f64 x 1/2)))
45.0ms	(*.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x))

simplify50.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

435×	`*-commutative_binary64`
420×	`unswap-sqr_binary64`
310×	`distribute-lft-out_binary64`
277×	`fma-def_binary64`
228×	`sqr-pow_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	69	971
1	176	889
2	446	700
3	1407	694
4	2374	622
5	4107	574

Stop Event

1×	node limit

Counts

129 → 113

prune92.0ms (6.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	113	3	116

Error

Counts

116 → 3

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
✓	0.0b	(.f64 (exp.f64 -1) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 1/2)) (pow.f64 (.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 x)) (*.f64 x 1/2))))
✓	0.0b	(exp.f64 (fma.f64 x x -1))

Compiler

Compiled 2060 to 1321 computations (35.9% saved)

regimes72.0ms (4.9%)

Accuracy

Total 0.0b remaining (65%)

Threshold costs 0.0b (65%)

Counts

16 → 1

Compiler

Compiled 1113 to 821 computations (26.2% saved)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	8	11

Stop Event

1×

saturated

end54.0ms (3.6%)

Compiler: Compiled 52 to 36 computations (30.8% saved)

Details

analyze6.0ms (0.4%)

sample820.0ms (55.3%)

simplify21.0ms (1.4%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

series2.0ms (0.1%)

rewrite33.0ms (2.2%)

simplify34.0ms (2.3%)

prune50.0ms (3.4%)

localize5.0ms (0.4%)

series7.0ms (0.5%)

rewrite44.0ms (3%)

simplify36.0ms (2.4%)

prune54.0ms (3.6%)

localize13.0ms (0.9%)

series32.0ms (2.1%)

rewrite47.0ms (3.2%)

simplify50.0ms (3.4%)

prune92.0ms (6.2%)

regimes72.0ms (4.9%)

simplify4.0ms (0.2%)

end54.0ms (3.6%)

Profiling