Details

analyze5.0ms (0.3%)

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)

sample1.1s (71.3%)

Results

967.0ms	8256×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 26 to 20 computations (23.1% saved)

simplify44.0ms (2.9%)

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

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))

series3.0ms (0.2%)

Counts

1 → 4

Calls

1 calls:

2.0ms

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

rewrite2.0ms (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:

1.0ms

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

simplify53.0ms (3.5%)

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

prune21.0ms (1.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

Counts

24 → 3

Alt Table

Status	Error	Program
▶	0.5b	(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
✓	0.0b	(exp.f64 (fma.f64 x x -1))
	63.8b	(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))

Compiler

Compiled 302 to 227 computations (24.8% saved)

localize5.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
✓	0.2b	(*.f64 (exp.f64 -1) (pow.f64 x 2))

series8.0ms (0.5%)

Counts

2 → 3

Calls

2 calls:

4.0ms	(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
4.0ms	(*.f64 (exp.f64 -1) (pow.f64 x 2))

rewrite11.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
4×	`unswap-sqr_binary64`

Counts

2 → 45

Calls

2 calls:

7.0ms	(*.f64 (exp.f64 -1) (pow.f64 x 2))
3.0ms	(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))

simplify103.0ms (6.8%)

Algorithm

1×	egg-herbie

Rules

736×	`fma-neg_binary64`
433×	`unswap-sqr_binary64`
414×	`associate-l_binary64`
335×	`distribute-rgt-out_binary64`
331×	`associate-r_binary64`

Counts

48 → 72

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	672
1	171	541
2	498	499
3	1884	496
4	4108	496
5	4822	496
6	4953	496
7	4957	496

prune51.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	72	3	75

Error

Counts

75 → 3

Alt Table

Status	Error	Program
✓	0.5b	(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
✓	0.0b	(exp.f64 (fma.f64 x x -1))
▶	63.8b	(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))

Compiler

Compiled 1113 to 933 computations (16.2% saved)

localize5.0ms (0.3%)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

Counts

3 → 3

Alt Table

Status	Error	Program
✓	0.5b	(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) (pow.f64 x 2)))
✓	0.0b	(exp.f64 (fma.f64 x x -1))
✓	63.8b	(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))

Compiler

Compiled 29 to 22 computations (24.1% saved)

regimes66.0ms (4.3%)

Accuracy

Total 0.0b remaining (36%)

Threshold costs 0.0b (36%)

Counts

10 → 1

Compiler

Compiled 556 to 417 computations (25% saved)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`
1×	`e-exp-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	8	9
2	10	9
3	9	9

end50.0ms (3.3%)

Compiler: Compiled 43 to 32 computations (25.6% saved)

Details

analyze5.0ms (0.3%)

sample1.1s (71.3%)

simplify44.0ms (2.9%)

prune3.0ms (0.2%)

localize4.0ms (0.3%)

series3.0ms (0.2%)

rewrite2.0ms (0.1%)

simplify53.0ms (3.5%)

prune21.0ms (1.4%)

localize5.0ms (0.4%)

series8.0ms (0.5%)

rewrite11.0ms (0.7%)

simplify103.0ms (6.8%)

prune51.0ms (3.3%)

localize5.0ms (0.3%)

prune2.0ms (0.1%)

regimes66.0ms (4.3%)

simplify2.0ms (0.2%)

end50.0ms (3.3%)

Profiling