Details

analyze101.0ms (6.6%)

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)

sample27.0ms (1.8%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify79.0ms (5.2%)

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 → 1

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

prune4.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(exp.f64 (fma.f64 x x -1))

rewrite19.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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))

Compiler

Compiled 143 to 99 computations (30.8% saved)

series23.0ms (1.5%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

12.0ms

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

Compiler

Compiled 146 to 124 computations (15.1% saved)

simplify89.0ms (5.8%)

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

20 → 6

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	235
1	84	220
2	178	204
3	528	197
4	1777	197
5	4482	197
6	5315	197

prune10.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	5	1	6
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	5	2	7

Error

0.0b

Counts

7 → 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 77 to 56 computations (27.3% saved)

localize8.0ms (0.5%)

Local error

Found 1 expressions with local error:

0.0b	(pow.f64 E.f64 (fma.f64 x x -1))

rewrite29.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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:

4.0ms

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

Compiler

Compiled 243 to 148 computations (39.1% saved)

series19.0ms (1.2%)

Error

0.0b

Counts

1 → 6

Calls

1 calls:

14.0ms

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

Compiler

Compiled 146 to 124 computations (15.1% saved)

simplify110.0ms (7.2%)

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

27 → 18

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	57	357
1	124	322
2	296	305
3	969	296
4	2686	295
5	4811	295
6	4986	295
7	4872	295

prune14.0ms (0.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	18	0	18
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	18	2	20

Error

0.0b

Counts

20 → 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 136 to 95 computations (30.1% saved)

regimes98.0ms (6.4%)

Accuracy

Total 0.0b remaining (50.4%)

Threshold costs 0.0b (50.4%)

Compiler

Compiled 463 to 346 computations (25.3% saved)

simplify7.0ms (0.4%)

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

end1.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

sample891.0ms (58%)

Algorithm

1×

intervals

Results

537.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 30 to 22 computations (26.7% saved)

Details

analyze101.0ms (6.6%)

sample27.0ms (1.8%)

simplify79.0ms (5.2%)

prune4.0ms (0.3%)

localize8.0ms (0.5%)

rewrite19.0ms (1.2%)

series23.0ms (1.5%)

simplify89.0ms (5.8%)

prune10.0ms (0.7%)

localize8.0ms (0.5%)

rewrite29.0ms (1.9%)

series19.0ms (1.2%)

simplify110.0ms (7.2%)

prune14.0ms (0.9%)

regimes98.0ms (6.4%)

simplify7.0ms (0.4%)

end1.0ms (0.1%)

sample891.0ms (58%)

Profiling