Details

analyze2.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
100%	0%	0%	2

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample896.0ms (16.9%)

Results

841.0ms

8256×

body

128

valid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify12.0ms (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

prune5.0ms (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

14.8b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	14.8b	(/.f64 x (fma.f64 x x 1))

Compiler

Compiled 28 to 16 computations (42.9% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	14.8b	(/.f64 x (fma.f64 x x 1))

series6.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

6.0ms

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

rewrite9.0ms (0.2%)

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:

7.0ms

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

simplify97.0ms (1.8%)

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

prune32.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	46	3	49

Error

Counts

49 → 3

Alt Table

Status	Error	Program
▶	14.9b	(*.f64 x (/.f64 1 (fma.f64 x x 1)))
	40.3b	(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
	30.4b	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))

Compiler

Compiled 663 to 408 computations (38.5% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (fma.f64 x x 1))
✓	14.0b	(*.f64 x (/.f64 1 (fma.f64 x x 1)))

series11.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

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

rewrite18.0ms (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:

8.0ms	(*.f64 x (/.f64 1 (fma.f64 x x 1)))
4.0ms	(/.f64 1 (fma.f64 x x 1))

simplify204.0ms (3.8%)

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

prune112.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	122	3	125

Error

Counts

125 → 3

Alt Table

Status	Error	Program
✓	14.9b	(*.f64 x (/.f64 1 (fma.f64 x x 1)))
	40.3b	(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
▶	30.4b	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))

Compiler

Compiled 1764 to 1219 computations (30.9% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
✓	0.3b	(/.f64 1 (pow.f64 x 3))

series10.0ms (0.2%)

Counts

2 → 3

Calls

2 calls:

5.0ms	(/.f64 1 (pow.f64 x 3))
5.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))

rewrite592.0ms (11.1%)

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:

69.0ms	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
7.0ms	(/.f64 1 (pow.f64 x 3))

simplify1.0s (19.6%)

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

prune1.5s (28.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	559	0	559
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	559	3	562

Error

Counts

562 → 3

Alt Table

Status	Error	Program
✓	14.9b	(*.f64 x (/.f64 1 (fma.f64 x x 1)))
▶	40.3b	(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
✓	30.4b	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))

Compiler

Compiled 24475 to 19178 computations (21.6% saved)

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	2.8b	(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
	14.8b	(/.f64 x (fma.f64 x x 1))

series7.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

7.0ms

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

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`exp-sum_binary64`
13×	`log-prod_binary64`
9×	`times-frac_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`

Counts

1 → 28

Calls

1 calls:

6.0ms

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

simplify279.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-def_binary64`
338×	`fma-neg_binary64`
307×	`sub-neg_binary64`
264×	`cancel-sign-sub-inv_binary64`
255×	`times-frac_binary64`

Counts

40 → 58

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	113	635
1	193	608
2	421	578
3	867	568
4	2084	534
5	4082	534
6	4952	534
7	4995	534
8	4984	534
9	4941	534

prune109.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Error

Counts

109 → 3

Alt Table

Status	Error	Program
✓	14.9b	(*.f64 x (/.f64 1 (fma.f64 x x 1)))
✓	40.3b	(exp.f64 (log.f64 (/.f64 x (fma.f64 x x 1))))
✓	30.4b	(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))

Compiler

Compiled 1551 to 1020 computations (34.2% saved)

regimes167.0ms (3.1%)

Accuracy

Total 0.0b remaining (16.7%)

Threshold costs 0.0b (16.7%)

Counts

26 → 3

Compiler

Compiled 502 to 330 computations (34.3% saved)

bsearch14.0ms (0.3%)

Steps

Iters	Range		Point
5	15.221899651635702	1555645373.9577658	88225.07844131009
5	-16876.703127526474	-0.03114901220656712	-11756.998493388033

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	35
1	25	35
2	29	35
3	31	35
4	32	35
5	31	35

end112.0ms (2.1%)

Compiler: Compiled 78 to 56 computations (28.2% saved)

Details

analyze2.0ms (0%)

sample896.0ms (16.9%)

simplify12.0ms (0.2%)

prune5.0ms (0.1%)

localize7.0ms (0.1%)

series6.0ms (0.1%)

rewrite9.0ms (0.2%)

simplify97.0ms (1.8%)

prune32.0ms (0.6%)

localize9.0ms (0.2%)

series11.0ms (0.2%)

rewrite18.0ms (0.3%)

simplify204.0ms (3.8%)

prune112.0ms (2.1%)

localize10.0ms (0.2%)

series10.0ms (0.2%)

rewrite592.0ms (11.1%)

simplify1.0s (19.6%)

prune1.5s (28.8%)

localize12.0ms (0.2%)

series7.0ms (0.1%)

rewrite10.0ms (0.2%)

simplify279.0ms (5.2%)

prune109.0ms (2.1%)

regimes167.0ms (3.1%)

bsearch14.0ms (0.3%)

simplify3.0ms (0.1%)

end112.0ms (2.1%)

Profiling