Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	25%	75%	0
25%	0%	75%	1

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample686.0ms (51.2%)

Results

674.0ms

8256×

body

128

valid

Compiler

Compiled 34 to 18 computations (47.1% saved)

preprocess70.0ms (5.2%)

Algorithm

2×	egg-herbie

Rules

731×	`sqr-pow_binary64`
380×	`cube-prod_binary64`
362×	`unswap-sqr_binary64`
313×	`pow-sqr_binary64`
224×	`fabs-mul_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	15	8
2	31	8
3	46	8
4	71	8
5	123	8
6	239	8
7	673	8
8	1364	8
9	1465	8
10	1598	8
11	1756	8
12	1987	8
13	2311	8
14	2732	8
15	3232	8
16	3825	8
17	4547	8
18	4868	8
0	1	1

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 10 to 4 computations (60% saved)

simplify60.0ms (4.5%)

Algorithm

1×	egg-herbie

Rules

731×	`sqr-pow_binary64`
380×	`cube-prod_binary64`
362×	`unswap-sqr_binary64`
313×	`pow-sqr_binary64`
224×	`fabs-mul_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	10
1	15	8
2	31	8
3	46	8
4	71	8
5	123	8
6	239	8
7	673	8
8	1364	8
9	1465	8
10	1598	8
11	1756	8
12	1987	8
13	2311	8
14	2732	8
15	3232	8
16	3825	8
17	4547	8
18	4868	8

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 x (fma.f64 x x x))
	0.0b	(+.f64 (.f64 x (.f64 x x)) (*.f64 x x))

Compiler

Compiled 50 to 20 computations (60% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (fma.f64 x x x))

series3.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

1.0ms	(*.f64 x (fma.f64 x x x))	x	-inf
1.0ms	(*.f64 x (fma.f64 x x x))	x	inf
1.0ms	(*.f64 x (fma.f64 x x x))	x	0

rewrite29.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

378×	`pow1_binary64`
347×	`add-log-exp_binary64`
347×	`log1p-expm1-u_binary64`
347×	`expm1-log1p-u_binary64`
339×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	79	8
2	949	8

Stop Event

1×	node limit

Counts

1 → 12

simplify55.0ms (4.1%)

Algorithm

1×	egg-herbie

Rules

1141×	`fma-def_binary64`
536×	`unswap-sqr_binary64`
378×	`sqr-pow_binary64`
204×	`cube-prod_binary64`
174×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	102
1	20	84
2	44	84
3	81	84
4	207	84
5	843	84
6	2540	84
7	3291	84
8	3585	84
9	3905	84
10	4315	84
11	4839	84

Stop Event

1×	node limit

Counts

24 → 17

prune10.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	16	1	17
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	17	2	19

Error

Counts

19 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 x (fma.f64 x x x))
▶	0.8b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)

Compiler

Compiled 153 to 62 computations (59.5% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 x (fma.f64 x x x))
✓	0.4b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)
✓	29.7b	(cbrt.f64 (*.f64 x (fma.f64 x x x)))

series216.0ms (16.1%)

Counts

2 → 16

Calls

6 calls:

167.0ms	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)	x	-inf
38.0ms	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)	x	0
5.0ms	(cbrt.f64 (*.f64 x (fma.f64 x x x)))	x	-inf
2.0ms	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)	x	inf
2.0ms	(cbrt.f64 (*.f64 x (fma.f64 x x x)))	x	0

rewrite41.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`pow1_binary64`
521×	`add-log-exp_binary64`
521×	`log1p-expm1-u_binary64`
521×	`expm1-log1p-u_binary64`
508×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	148	18
2	1472	18

Stop Event

1×	node limit

Counts

2 → 55

simplify26.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

728×	`fma-def_binary64`
580×	`fma-neg_binary64`
432×	`cancel-sign-sub-inv_binary64`
188×	`associate-/r*_binary64`
186×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	35	182
1	105	163
2	253	157
3	621	146
4	1822	146

Stop Event

1×	node limit

Counts

71 → 72

prune51.0ms (3.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	89	2	91

Error

Counts

91 → 2

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 x (fma.f64 x x x))
✓	0.8b	(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x x x))) 3)

Compiler

Compiled 1146 to 505 computations (55.9% saved)

regimes40.0ms (3%)

Accuracy

Total 0.0b remaining (14.4%)

Threshold costs 0.0b (14.4%)

Counts

8 → 1

Compiler

Compiled 134 to 74 computations (44.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	8
1	5	8

Stop Event

1×

saturated

end38.0ms (2.9%)

Stop Event

1×

done

Compiler

Compiled 31 to 15 computations (51.6% saved)

Details

analyze1.0ms (0.1%)

sample686.0ms (51.2%)

preprocess70.0ms (5.2%)

simplify60.0ms (4.5%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series3.0ms (0.2%)

rewrite29.0ms (2.2%)

simplify55.0ms (4.1%)

prune10.0ms (0.8%)

localize6.0ms (0.4%)

series216.0ms (16.1%)

rewrite41.0ms (3%)

simplify26.0ms (1.9%)

prune51.0ms (3.8%)

regimes40.0ms (3%)

simplify2.0ms (0.1%)

end38.0ms (2.9%)

Profiling