Details

analyze2.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 27 to 22 computations (18.5% saved)

sample2.6s (53.4%)

Results

2.3s

8256×

body

256

valid

Compiler

Compiled 74 to 61 computations (17.6% saved)

simplify266.0ms (5.5%)

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

prune7.0ms (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)

localize6.0ms (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)

series9.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

5.0ms	(.f64 t (.f64 t 1/25000000000000000000000000000000))
3.0ms	(*.f64 t 1/25000000000000000000000000000000)

rewrite17.0ms (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:

9.0ms	(.f64 t (.f64 t 1/25000000000000000000000000000000))
6.0ms	(*.f64 t 1/25000000000000000000000000000000)

simplify115.0ms (2.4%)

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

prune81.0ms (1.7%)

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
	0.5b	(.f64 (sqrt.f64 t) (.f64 1/25000000000000000000000000000000 (pow.f64 t 3/2)))
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
	0.6b	(cbrt.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 (.f64 t 1/25000000000000000000000000000000) (.f64 t 1/25000000000000000000000000000000)) (.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)))

Compiler

Compiled 677 to 439 computations (35.2% saved)

localize11.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series11.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

5.0ms

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

3.0ms

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

3.0ms

(*.f64 t 1/5000000000000000)

rewrite45.0ms (0.9%)

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)))

11.0ms

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

6.0ms

(*.f64 t 1/5000000000000000)

simplify158.0ms (3.3%)

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

prune72.0ms (1.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	88	1	89
Fresh	1	2	3
Picked	0	1	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))
	0.6b	(cbrt.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 (.f64 t 1/25000000000000000000000000000000) (.f64 t 1/25000000000000000000000000000000)) (.f64 t 1/25000000000000000000000000000000))))
	0.7b	(cbrt.f64 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6)))
▶	0.4b	(.f64 (.f64 t (*.f64 t 1/5000000000000000)) (sqrt.f64 1/25000000000000000000000000000000))
✓	0.4b	(.f64 t (.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))

Compiler

Compiled 1179 to 877 computations (25.6% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

series8.0ms (0.2%)

Counts

2 → 24

Calls

2 calls:

4.0ms	(.f64 (.f64 t (*.f64 t 1/5000000000000000)) (sqrt.f64 1/25000000000000000000000000000000))
4.0ms	(.f64 t (.f64 t 1/5000000000000000))

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
9×	`cbrt-unprod_binary64`
9×	`prod-exp_binary64`

Counts

2 → 46

Calls

2 calls:

10.0ms	(.f64 (.f64 t (*.f64 t 1/5000000000000000)) (sqrt.f64 1/25000000000000000000000000000000))
10.0ms	(.f64 t (.f64 t 1/5000000000000000))

simplify89.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

505×	`unswap-sqr_binary64`
326×	`associate-*r/_binary64`
325×	`associate-+l+_binary64`
294×	`associate-*l/_binary64`
271×	`fma-def_binary64`

Counts

70 → 66

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	682
1	152	580
2	539	559
3	768	553
4	1067	553
5	1694	553
6	4862	553

prune81.0ms (1.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

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

Error

Counts

94 → 5

Alt Table

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

Compiler

Compiled 1201 to 872 computations (27.4% saved)

localize19.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (.f64 t t) t) (.f64 (.f64 (.f64 t 1/25000000000000000000000000000000) (.f64 t 1/25000000000000000000000000000000)) (.f64 t 1/25000000000000000000000000000000)))
✓	0.4b	(.f64 (.f64 t 1/25000000000000000000000000000000) (*.f64 t 1/25000000000000000000000000000000))
	0.4b	(*.f64 t 1/25000000000000000000000000000000)
✓	0.7b	(cbrt.f64 (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 (.f64 t 1/25000000000000000000000000000000) (.f64 t 1/25000000000000000000000000000000)) (.f64 t 1/25000000000000000000000000000000))))

series34.0ms (0.7%)

Counts

3 → 36

Calls

3 calls:

21.0ms

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

7.0ms

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

5.0ms

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

rewrite232.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Rules

795×	`pow1_binary64`
398×	`pow-prod-down_binary64`
207×	`pow-prod-up_binary64`
207×	`add-cbrt-cube_binary64`
207×	`add-exp-log_binary64`

Counts

3 → 262

Calls

3 calls:

70.0ms

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

65.0ms

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

7.0ms

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

simplify356.0ms (7.3%)

Algorithm

1×	egg-herbie

Rules

715×	`fma-def_binary64`
707×	`*-commutative_binary64`
385×	`sqr-pow_binary64`
346×	`associate-l_binary64`
318×	`associate-/l*_binary64`

Counts

298 → 136

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	154	5111
1	228	2816
2	1170	2274
3	1679	2274
4	2582	2243
5	4240	2243
6	4929	2243

prune303.0ms (6.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	232	0	232
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	232	5	237

Error

Counts

237 → 5

Alt Table

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

Compiler

Compiled 5742 to 3285 computations (42.8% saved)

regimes215.0ms (4.4%)

Accuracy

Total 0.4b remaining (97%)

Threshold costs 0.4b (97%)

Counts

45 → 1

Compiler

Compiled 1621 to 1200 computations (26% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	7
2	9	7

end84.0ms (1.7%)

Compiler: Compiled 62 to 45 computations (27.4% saved)

Details

analyze2.0ms (0%)

sample2.6s (53.4%)

simplify266.0ms (5.5%)

prune7.0ms (0.1%)

localize6.0ms (0.1%)

series9.0ms (0.2%)

rewrite17.0ms (0.3%)

simplify115.0ms (2.4%)

prune81.0ms (1.7%)

localize11.0ms (0.2%)

series11.0ms (0.2%)

rewrite45.0ms (0.9%)

simplify158.0ms (3.3%)

prune72.0ms (1.5%)

localize9.0ms (0.2%)

series8.0ms (0.2%)

rewrite27.0ms (0.6%)

simplify89.0ms (1.8%)

prune81.0ms (1.7%)

localize19.0ms (0.4%)

series34.0ms (0.7%)

rewrite232.0ms (4.8%)

simplify356.0ms (7.3%)

prune303.0ms (6.2%)

regimes215.0ms (4.4%)

simplify2.0ms (0%)

end84.0ms (1.7%)

Profiling