Details

analyze1.9s (39%)

Algorithm

1×

Search

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

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample2.1s (44.1%)

Results

1.9s

8256×

body

256

valid

Compiler

Compiled 74 to 61 computations (17.6% saved)

simplify174.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

955×	`fma-def_binary64`
760×	`unsub-neg_binary64`
633×	`distribute-neg-in_binary64`
628×	`distribute-rgt-neg-in_binary64`
564×	`sub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	26
1	35	19
2	98	17
3	302	15
4	923	7
5	2332	7
6	3226	7
7	3864	7
8	4544	7
9	4793	7
10	4822	7
11	4798	7
12	4830	7
13	4680	7
14	4874	7
15	4821	7

prune4.0ms (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

0.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))

Compiler

Compiled 37 to 28 computations (24.3% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
✓	0.4b	(*.f64 t 1/25000000000000000000000000000000)

series4.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(.f64 t (.f64 t 1/25000000000000000000000000000000))
2.0ms	(*.f64 t 1/25000000000000000000000000000000)

rewrite9.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
9×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`associate-l_binary64`

Counts

2 → 40

Calls

2 calls:

4.0ms	(.f64 t (.f64 t 1/25000000000000000000000000000000))
3.0ms	(*.f64 t 1/25000000000000000000000000000000)

simplify76.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

970×	`fma-def_binary64`
331×	`associate-l_binary64`
261×	`associate-*r/_binary64`
229×	`associate-*l/_binary64`
217×	`*-commutative_binary64`

Counts

64 → 62

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	478
1	112	430
2	327	421
3	594	419
4	851	419
5	1427	419
6	3364	419
7	4801	419
8	4930	419

prune41.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	4	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Error

0.0b

Counts

63 → 5

Alt Table

Status	Error	Program
	0.6b	(.f64 (sqrt.f64 t) (.f64 1/25000000000000000000000000000000 (pow.f64 t 3/2)))
	1.9b	(.f64 (.f64 (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))) (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)))) (cbrt.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000))))
	0.7b	(cbrt.f64 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6)))
▶	0.4b	(.f64 t (.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))

Compiler

Compiled 681 to 443 computations (34.9% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 t 1/5000000000000000)
✓	0.2b	(.f64 t (.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))
✓	0.3b	(.f64 (.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000))

series6.0ms (0.1%)

Counts

3 → 36

Calls

3 calls:

3.0ms

(*.f64 t (*.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))

2.0ms

(*.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000))

1.0ms

(*.f64 t 1/5000000000000000)

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-cbrt-cube_binary64`
19×	`add-exp-log_binary64`
19×	`pow1_binary64`
10×	`associate-r_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

3 → 66

Calls

3 calls:

13.0ms

(*.f64 t (*.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))

5.0ms

(*.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000))

3.0ms

(*.f64 t 1/5000000000000000)

simplify84.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

649×	`unswap-sqr_binary64`
623×	`fma-def_binary64`
280×	`*-commutative_binary64`
272×	`associate-*r/_binary64`
234×	`associate-*l/_binary64`

Counts

102 → 89

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	751
1	175	652
2	571	640
3	854	638
4	1191	638
5	1833	638
6	4792	638
7	4941	638

prune52.0ms (1.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	86	3	89
Fresh	2	1	3
Picked	1	0	1
Done	0	1	1
Total	89	5	94

Error

Counts

94 → 5

Alt Table

Status	Error	Program
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
▶	0.4b	(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
	0.7b	(cbrt.f64 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6)))
	0.5b	(expm1.f64 (log1p.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))
	0.6b	(.f64 t (.f64 t (*.f64 1/5000000000000000 (sqrt.f64 1/25000000000000000000000000000000))))

Compiler

Compiled 1164 to 868 computations (25.4% saved)

localize3.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 t 1/5000000000000000)
✓	0.4b	(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(*.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`pow1_binary64`
17×	`pow-prod-down_binary64`
13×	`add-cbrt-cube_binary64`
13×	`add-exp-log_binary64`
8×	`cbrt-unprod_binary64`

Counts

1 → 36

Calls

1 calls:

6.0ms

(*.f64 (*.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))

simplify66.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

600×	`associate-l_binary64`
375×	`associate-*r/_binary64`
351×	`associate-*l/_binary64`
335×	`associate-r_binary64`
299×	`associate-+l+_binary64`

Counts

48 → 36

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	42	379
1	90	301
2	347	282
3	883	282
4	1249	282
5	1944	282
6	4969	282
7	5124	282

prune39.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	83	4	87

Error

Counts

87 → 4

Alt Table

Status	Error	Program
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
✓	0.4b	(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
	0.5b	(.f64 (.f64 t t) (*.f64 1/5000000000000000 1/5000000000000000))
▶	0.5b	(expm1.f64 (log1p.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))

Compiler

Compiled 973 to 689 computations (29.2% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(.f64 1/25000000000000000000000000000000 (.f64 t t))

series3.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(*.f64 1/25000000000000000000000000000000 (*.f64 t t))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-l_binary64`
3×	`add-sqr-sqrt_binary64`

Counts

1 → 21

Calls

1 calls:

4.0ms

(*.f64 1/25000000000000000000000000000000 (*.f64 t t))

simplify61.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

678×	`associate-/l/_binary64`
649×	`fma-def_binary64`
350×	`distribute-rgt-in_binary64`
315×	`distribute-lft-in_binary64`
303×	`sqr-pow_binary64`

Counts

33 → 24

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	300
1	77	264
2	177	255
3	420	255
4	631	255
5	1032	255
6	2024	255
7	4493	255
8	4857	255

prune16.0ms (0.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	24	4	28

Error

Counts

28 → 4

Alt Table

Status	Error	Program
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
✓	0.4b	(.f64 (.f64 t 1/5000000000000000) (*.f64 t 1/5000000000000000))
	0.5b	(.f64 (.f64 t t) (*.f64 1/5000000000000000 1/5000000000000000))
✓	0.5b	(expm1.f64 (log1p.f64 (.f64 1/25000000000000000000000000000000 (.f64 t t))))

Compiler

Compiled 308 to 210 computations (31.8% saved)

regimes80.0ms (1.7%)

Accuracy

Total 0.4b remaining (98%)

Threshold costs 0.4b (98%)

Counts

30 → 1

Compiler

Compiled 1109 to 838 computations (24.4% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
2	10	10

end52.0ms (1.1%)

Compiler: Compiled 46 to 34 computations (26.1% saved)

Details

analyze1.9s (39%)

sample2.1s (44.1%)

simplify174.0ms (3.6%)

prune4.0ms (0.1%)

localize3.0ms (0.1%)

series4.0ms (0.1%)

rewrite9.0ms (0.2%)

simplify76.0ms (1.6%)

prune41.0ms (0.8%)

localize5.0ms (0.1%)

series6.0ms (0.1%)

rewrite23.0ms (0.5%)

simplify84.0ms (1.7%)

prune52.0ms (1.1%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite8.0ms (0.2%)

simplify66.0ms (1.4%)

prune39.0ms (0.8%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite5.0ms (0.1%)

simplify61.0ms (1.3%)

prune16.0ms (0.3%)

regimes80.0ms (1.7%)

simplify2.0ms (0%)

end52.0ms (1.1%)

Profiling