Details

analyze1.0ms (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)

sample1.9s (70.2%)

Results

1.7s

8256×

body

256

valid

Compiler

Compiled 74 to 61 computations (17.6% saved)

simplify169.0ms (6.1%)

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
✓	0.3b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
✓	0.4b	(*.f64 t 1/25000000000000000000000000000000)

series4.0ms (0.1%)

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)

simplify73.0ms (2.7%)

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

prune39.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	56	6	62
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	56	7	63

Error

0.0b

Counts

63 → 7

Alt Table

Status	Error	Program
▶	0.4b	(*.f64 1/25000000000000000000000000000000 (pow.f64 t 2))
	0.8b	(cbrt.f64 (*.f64 1/15625000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f64 t 6)))
	0.6b	(cbrt.f64 (.f64 (.f64 (.f64 t (.f64 t 1/25000000000000000000000000000000)) (.f64 t (.f64 t 1/25000000000000000000000000000000))) (.f64 t (.f64 t 1/25000000000000000000000000000000))))
	0.4b	(.f64 t (.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))
✓	0.4b	(.f64 t (.f64 t 1/25000000000000000000000000000000))
	0.6b	(.f64 t (.f64 (sqrt.f64 (.f64 t 1/25000000000000000000000000000000)) (sqrt.f64 (.f64 t 1/25000000000000000000000000000000))))
	0.6b	(.f64 t (cbrt.f64 (pow.f64 (.f64 1/25000000000000000000000000000000 t) 3)))

Compiler

Compiled 713 to 467 computations (34.5% 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))

series3.0ms (0.1%)

Counts

1 → 0

Calls

1 calls:

3.0ms

(*.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))

simplify75.0ms (2.7%)

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

prune28.0ms (1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	44	1	45
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	47	5	52

Error

Counts

52 → 5

Alt Table

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

Compiler

Compiled 543 to 411 computations (24.3% saved)

localize5.0ms (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 (sqrt.f64 1/25000000000000000000000000000000) (.f64 t (*.f64 t 1/5000000000000000)))

series6.0ms (0.2%)

Counts

3 → 36

Calls

3 calls:

3.0ms	(.f64 (sqrt.f64 1/25000000000000000000000000000000) (.f64 t (*.f64 t 1/5000000000000000)))
2.0ms	(.f64 t (.f64 t 1/5000000000000000))
1.0ms	(*.f64 t 1/5000000000000000)

rewrite16.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-cbrt-cube_binary64`
19×	`add-exp-log_binary64`
19×	`pow1_binary64`
12×	`associate-l_binary64`
10×	`add-sqr-sqrt_binary64`

Counts

3 → 66

Calls

3 calls:

8.0ms	(.f64 (sqrt.f64 1/25000000000000000000000000000000) (.f64 t (*.f64 t 1/5000000000000000)))
4.0ms	(.f64 t (.f64 t 1/5000000000000000))
3.0ms	(*.f64 t 1/5000000000000000)

simplify78.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

625×	`fma-def_binary64`
506×	`associate-*l/_binary64`
482×	`unswap-sqr_binary64`
318×	`associate-/l/_binary64`
266×	`associate-/r/_binary64`

Counts

102 → 88

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	857
1	159	749
2	557	728
3	789	726
4	1141	726
5	1781	726
6	4938	726
7	5110	726

prune48.0ms (1.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	87	1	88
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	88	5	93

Error

Counts

93 → 5

Alt Table

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

Compiler

Compiled 1186 to 865 computations (27.1% saved)

localize5.0ms (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))
✓	0.3b	(.f64 t (.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))

series4.0ms (0.1%)

Counts

2 → 24

Calls

2 calls:

3.0ms	(.f64 t (.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))
1.0ms	(.f64 (.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000))

rewrite13.0ms (0.5%)

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:

5.0ms	(.f64 t (.f64 (*.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000)))
4.0ms	(.f64 (.f64 t 1/5000000000000000) (sqrt.f64 1/25000000000000000000000000000000))

simplify51.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

649×	`unswap-sqr_binary64`
338×	`associate-+l+_binary64`
276×	`*-commutative_binary64`
268×	`associate-*r/_binary64`
267×	`fma-def_binary64`

Counts

70 → 66

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	69	581
1	154	482
2	528	470
3	797	460
4	1147	460
5	1776	460
6	4885	460

prune46.0ms (1.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Error

Counts

94 → 5

Alt Table

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

Compiler

Compiled 1137 to 847 computations (25.5% saved)

regimes78.0ms (2.8%)

Accuracy

Total 0.4b remaining (98.3%)

Threshold costs 0.4b (98.3%)

Counts

30 → 1

Compiler

Compiled 1145 to 869 computations (24.1% 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

end55.0ms (2%)

Compiler: Compiled 55 to 42 computations (23.6% saved)

Details

analyze1.0ms (0%)

sample1.9s (70.2%)

simplify169.0ms (6.1%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series4.0ms (0.1%)

rewrite8.0ms (0.3%)

simplify73.0ms (2.7%)

prune39.0ms (1.4%)

localize3.0ms (0.1%)

series3.0ms (0.1%)

rewrite5.0ms (0.2%)

simplify75.0ms (2.7%)

prune28.0ms (1%)

localize5.0ms (0.2%)

series6.0ms (0.2%)

rewrite16.0ms (0.6%)

simplify78.0ms (2.8%)

prune48.0ms (1.7%)

localize5.0ms (0.2%)

series4.0ms (0.1%)

rewrite13.0ms (0.5%)

simplify51.0ms (1.9%)

prune46.0ms (1.7%)

regimes78.0ms (2.8%)

simplify2.0ms (0.1%)

end55.0ms (2%)

Profiling