Details

analyze86.0ms (5.9%)

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)

sample21.0ms (1.4%)

Algorithm

1×

intervals

Results

12.0ms

256×

body

128

valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify62.0ms (4.3%)

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

prune5.0ms (0.3%)

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)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series5.0ms (0.3%)

Counts

1 → 4

Calls

1 calls:

4.0ms

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

rewrite3.0ms (0.2%)

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:

2.0ms

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

simplify77.0ms (5.3%)

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

prune30.0ms (2.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

Counts

24 → 2

Alt Table

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

Compiler

Compiled 270 to 201 computations (25.6% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

series7.0ms (0.5%)

Counts

1 → 12

Calls

1 calls:

7.0ms

(pow.f64 (E.f64) (fma.f64 x x -1))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`pow-unpow_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`unpow-prod-down_binary64`
3×	`add-cube-cbrt_binary64`

Counts

1 → 21

Calls

1 calls:

3.0ms

(pow.f64 (E.f64) (fma.f64 x x -1))

simplify117.0ms (8.1%)

Algorithm

1×	egg-herbie

Rules

505×	`fma-def_binary64`
320×	`associate-/l/_binary64`
256×	`*-commutative_binary64`
223×	`distribute-rgt-in_binary64`
209×	`fma-neg_binary64`

Counts

33 → 37

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	399
1	124	364
2	296	347
3	969	338
4	2686	337
5	4811	337
6	4986	337
7	4872	337

prune38.0ms (2.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	37	0	37
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	37	2	39

Error

Counts

39 → 2

Alt Table

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

Compiler

Compiled 434 to 290 computations (33.2% saved)

regimes89.0ms (6.1%)

Accuracy

Total 0.0b remaining (16.5%)

Threshold costs 0.0b (16.5%)

Counts

6 → 1

Compiler

Compiled 403 to 291 computations (27.8% saved)

simplify4.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	5	7

end1.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

sample882.0ms (61%)

Algorithm

1×

intervals

Results

457.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 29 to 21 computations (27.6% saved)

Details

analyze86.0ms (5.9%)

sample21.0ms (1.4%)

simplify62.0ms (4.3%)

prune5.0ms (0.3%)

localize8.0ms (0.5%)

series5.0ms (0.3%)

rewrite3.0ms (0.2%)

simplify77.0ms (5.3%)

prune30.0ms (2.1%)

localize7.0ms (0.5%)

series7.0ms (0.5%)

rewrite5.0ms (0.3%)

simplify117.0ms (8.1%)

prune38.0ms (2.6%)

regimes89.0ms (6.1%)

simplify4.0ms (0.3%)

end1.0ms (0.1%)

sample882.0ms (61%)

Profiling