Details

analyze1.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample221.0ms (8.1%)

Algorithm

1×

intervals

Results

34.0ms	256×	body	256	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 48 to 40 computations (16.7% saved)

simplify172.0ms (6.3%)

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

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

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 (0.2%)

Counts

2 → 24

Calls

2 calls:

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

rewrite8.0ms (0.3%)

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 (2.8%)

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

prune40.0ms (1.5%)

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

Counts

63 → 5

Alt Table

Status	Error	Program
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
	0.6b	(.f64 t (cbrt.f64 (.f64 (.f64 (.f64 t 1/25000000000000000000000000000000) (.f64 t 1/25000000000000000000000000000000)) (.f64 t 1/25000000000000000000000000000000))))
	0.4b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
	0.5b	(.f64 (sqrt.f64 t) (.f64 1/25000000000000000000000000000000 (pow.f64 t 3/2)))
▶	0.4b	(.f64 t (.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))

Compiler

Compiled 667 to 433 computations (35.1% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series6.0ms (0.2%)

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)

rewrite21.0ms (0.8%)

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:

7.0ms

(*.f64 t 1/5000000000000000)

6.0ms

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

5.0ms

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

simplify80.0ms (2.9%)

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 → 88

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	751
1	174	652
2	571	640
3	854	638
4	1191	638
5	1833	638
6	4792	638
7	4941	638

prune52.0ms (1.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	89	4	93

Error

Counts

93 → 4

Alt Table

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

Compiler

Compiled 1123 to 837 computations (25.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

series4.0ms (0.2%)

Counts

1 → 0

Calls

1 calls:

4.0ms

(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
6×	`add-exp-log_binary64`
4×	`unswap-sqr_binary64`
4×	`unpow-prod-down_binary64`

Counts

1 → 29

Calls

1 calls:

4.0ms

(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))

simplify76.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

964×	`fma-def_binary64`
644×	`unswap-sqr_binary64`
397×	`log-prod_binary64`
394×	`sqr-pow_binary64`
337×	`*-commutative_binary64`

Counts

29 → 45

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	56	303
1	98	231
2	199	221
3	637	215
4	1073	215
5	2846	215
6	3959	215
7	4849	215
8	4882	215

prune24.0ms (0.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	45	0	45
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	45	4	49

Error

Counts

49 → 4

Alt Table

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

Compiler

Compiled 496 to 378 computations (23.8% saved)

localize5.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 t (cbrt.f64 (.f64 (pow.f64 t 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))
✓	0.5b	(cbrt.f64 (*.f64 (pow.f64 t 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))
✓	0.6b	(*.f64 (pow.f64 t 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)

series41.0ms (1.5%)

Counts

3 → 36

Calls

3 calls:

21.0ms

(*.f64 t (cbrt.f64 (*.f64 (pow.f64 t 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))

13.0ms

(cbrt.f64 (*.f64 (pow.f64 t 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))

7.0ms

(*.f64 (pow.f64 t 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
10×	`add-exp-log_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-cube-cbrt_binary64`

Counts

3 → 65

Calls

3 calls:

5.0ms

(*.f64 (pow.f64 t 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)

3.0ms

(*.f64 t (cbrt.f64 (*.f64 (pow.f64 t 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000)))

3.0ms

(cbrt.f64 (*.f64 (pow.f64 t 3) 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000))

simplify132.0ms (4.9%)

Algorithm

1×	egg-herbie

Rules

532×	`fma-def_binary64`
396×	`*-commutative_binary64`
344×	`log-prod_binary64`
321×	`sqr-pow_binary64`
319×	`unswap-sqr_binary64`

Counts

101 → 107

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	96	1063
1	183	1001
2	754	985
3	1304	961
4	2601	947
5	4929	947
6	4988	947
7	4996	947
8	4911	947

prune135.0ms (5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	107	4	111

Error

Counts

111 → 4

Alt Table

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

Compiler

Compiled 1415 to 1089 computations (23% saved)

regimes92.0ms (3.4%)

Accuracy

Total 0.4b remaining (93.1%)

Threshold costs 0.4b (93.1%)

Counts

27 → 1

Compiler

Compiled 923 to 689 computations (25.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	7	7
2	7	7

end5.0ms (0.2%)

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

sample1.5s (54.6%)

Algorithm

1×

intervals

Results

983.0ms	8000×	body	256	valid
173.0ms	8000×	pre	128	true

Compiler

Compiled 64 to 50 computations (21.9% saved)

Details

analyze1.0ms (0.1%)

sample221.0ms (8.1%)

simplify172.0ms (6.3%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite8.0ms (0.3%)

simplify76.0ms (2.8%)

prune40.0ms (1.5%)

localize6.0ms (0.2%)

series6.0ms (0.2%)

rewrite21.0ms (0.8%)

simplify80.0ms (2.9%)

prune52.0ms (1.9%)

localize3.0ms (0.1%)

series4.0ms (0.2%)

rewrite5.0ms (0.2%)

simplify76.0ms (2.8%)

prune24.0ms (0.9%)

localize5.0ms (0.2%)

series41.0ms (1.5%)

rewrite16.0ms (0.6%)

simplify132.0ms (4.9%)

prune135.0ms (5%)

regimes92.0ms (3.4%)

simplify2.0ms (0.1%)

end5.0ms (0.2%)

sample1.5s (54.6%)

Profiling