Details

analyze1.3s (34.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
0%	100%	0%	13
0%	100%	0%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample737.0ms (18.8%)

Results

708.0ms

8256×

body

128

valid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`fma-def_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms (0.1%)

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

15.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.9b	(/.f64 x (fma.f64 x x 1))

Compiler

Compiled 28 to 16 computations (42.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	15.9b	(/.f64 x (fma.f64 x x 1))

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(/.f64 x (fma.f64 x x 1))

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
3×	`associate-/r*_binary64`

Counts

1 → 29

Calls

1 calls:

2.0ms

(/.f64 x (fma.f64 x x 1))

simplify63.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

543×	`associate-/l*_binary64`
513×	`div-sub_binary64`
480×	`associate-/l/_binary64`
388×	`fma-neg_binary64`
289×	`distribute-rgt-in_binary64`

Counts

41 → 48

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	635
1	147	601
2	366	580
3	807	580
4	2019	580
5	4600	580
6	5498	580

prune26.0ms (0.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Error

Counts

49 → 4

Alt Table

Status	Error	Program
▶	15.9b	(*.f64 x (/.f64 1 (fma.f64 x x 1)))
✓	15.9b	(/.f64 x (fma.f64 x x 1))
	28.7b	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
	35.5b	(-.f64 x (pow.f64 x 3))

Compiler

Compiled 664 to 408 computations (38.6% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 1 (fma.f64 x x 1))
✓	15.5b	(*.f64 x (/.f64 1 (fma.f64 x x 1)))

series7.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(*.f64 x (/.f64 1 (fma.f64 x x 1)))
3.0ms	(/.f64 1 (fma.f64 x x 1))

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`times-frac_binary64`
19×	`*-un-lft-identity_binary64`
18×	`add-cube-cbrt_binary64`
15×	`add-exp-log_binary64`

Counts

2 → 71

Calls

2 calls:

6.0ms	(*.f64 x (/.f64 1 (fma.f64 x x 1)))
2.0ms	(/.f64 1 (fma.f64 x x 1))

simplify118.0ms (3%)

Algorithm

1×	egg-herbie

Rules

799×	`fma-neg_binary64`
615×	`times-frac_binary64`
519×	`fma-def_binary64`
388×	`associate-/r*_binary64`
307×	`associate-/l*_binary64`

Counts

95 → 122

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	1278
1	235	1173
2	616	1127
3	1524	1125
4	4196	1125
5	4865	1125
6	4997	1125
7	4999	1125
8	4925	1125

prune68.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	122	4	126

Error

Counts

126 → 4

Alt Table

Status	Error	Program
✓	15.9b	(*.f64 x (/.f64 1 (fma.f64 x x 1)))
✓	15.9b	(/.f64 x (fma.f64 x x 1))
▶	28.7b	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
	35.5b	(-.f64 x (pow.f64 x 3))

Compiler

Compiled 1765 to 1219 computations (30.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
✓	0.4b	(/.f64 1 (pow.f64 x 3))

series6.0ms (0.2%)

Counts

2 → 3

Calls

2 calls:

4.0ms	(/.f64 1 (pow.f64 x 3))
3.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))

rewrite154.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Rules

965×	`times-frac_binary64`
695×	`add-sqr-sqrt_binary64`
663×	`*-un-lft-identity_binary64`
626×	`add-cube-cbrt_binary64`
520×	`prod-diff_binary64`

Counts

2 → 701

Calls

2 calls:

36.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
4.0ms	(/.f64 1 (pow.f64 x 3))

simplify502.0ms (12.8%)

Algorithm

1×	egg-herbie

Rules

544×	`fma-def_binary64`
542×	`associate-/r*_binary64`
413×	`fma-neg_binary64`
395×	`associate-/l/_binary64`
259×	`cancel-sign-sub-inv_binary64`

Counts

704 → 559

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	213	26213
1	379	14355
2	1110	9583
3	3898	9583
4	4964	9583
5	4879	9583

prune588.0ms (15%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	559	0	559
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	559	4	563

Error

Counts

563 → 4

Alt Table

Status	Error	Program
✓	15.9b	(*.f64 x (/.f64 1 (fma.f64 x x 1)))
✓	15.9b	(/.f64 x (fma.f64 x x 1))
✓	28.7b	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
▶	35.5b	(-.f64 x (pow.f64 x 3))

Compiler

Compiled 24476 to 19178 computations (21.6% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 x (pow.f64 x 3))

series3.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(-.f64 x (pow.f64 x 3))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`prod-diff_binary64`
33×	`add-sqr-sqrt_binary64`
29×	`*-un-lft-identity_binary64`
26×	`add-cube-cbrt_binary64`
13×	`cube-prod_binary64`

Counts

1 → 70

Calls

1 calls:

6.0ms

(-.f64 x (pow.f64 x 3))

simplify92.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

627×	`unswap-sqr_binary64`
471×	`exp-prod_binary64`
425×	`fma-neg_binary64`
413×	`fma-def_binary64`
375×	`cancel-sign-sub-inv_binary64`

Counts

73 → 64

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	116	1059
1	166	853
2	637	637
3	1845	629
4	3952	626
5	4991	626
6	4558	626

prune38.0ms (1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	64	4	68

Error

Counts

68 → 4

Alt Table

Status	Error	Program
✓	15.9b	(*.f64 x (/.f64 1 (fma.f64 x x 1)))
✓	15.9b	(/.f64 x (fma.f64 x x 1))
✓	28.7b	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
✓	35.5b	(-.f64 x (pow.f64 x 3))

Compiler

Compiled 1357 to 816 computations (39.9% saved)

regimes51.0ms (1.3%)

Accuracy

Total 0.0b remaining (58.7%)

Threshold costs 0.0b (58.7%)

Counts

13 → 3

Compiler

Compiled 204 to 140 computations (31.4% saved)

bsearch8.0ms (0.2%)

Steps

Iters	Range		Point
4	0.3877958848478084	31795818.742320765	1025339.2569105539
1	-20623374444919.344	-759371102.5392541	-123239517143.24536

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	23	32
2	27	32
3	29	32
4	30	32
5	29	32

end60.0ms (1.5%)

Compiler: Compiled 78 to 54 computations (30.8% saved)

Details

analyze1.3s (34.3%)

sample737.0ms (18.8%)

simplify6.0ms (0.2%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series3.0ms (0.1%)

rewrite3.0ms (0.1%)

simplify63.0ms (1.6%)

prune26.0ms (0.7%)

localize5.0ms (0.1%)

series7.0ms (0.2%)

rewrite13.0ms (0.3%)

simplify118.0ms (3%)

prune68.0ms (1.7%)

localize5.0ms (0.1%)

series6.0ms (0.2%)

rewrite154.0ms (3.9%)

simplify502.0ms (12.8%)

prune588.0ms (15%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite11.0ms (0.3%)

simplify92.0ms (2.3%)

prune38.0ms (1%)

regimes51.0ms (1.3%)

bsearch8.0ms (0.2%)

simplify3.0ms (0.1%)

end60.0ms (1.5%)

Profiling