Details

analyze112.0ms (3.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
50%	50%	0.1%	6
62.4%	34.3%	3.2%	7
62.4%	32.8%	4.8%	8
68.7%	21.1%	10.2%	9
68.7%	19.1%	12.2%	10
71.8%	11.5%	16.7%	11
71.8%	10.2%	18%	12
73.4%	6%	20.6%	13
73.4%	5.3%	21.3%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample17.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
4.0ms	10×	body	128	invalid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1×	`associate-/r*_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

10.7b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	10.7b	(/.f64 x (*.f64 y y))

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.4b

(/.f64 x (*.f64 y y))

rewrite21.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
3×	`associate-/l*_binary64`
3×	`*-un-lft-identity_binary64`
3×	`times-frac_binary64`

Counts

1 → 21

Calls

1 calls:

3.0ms

(/.f64 x (*.f64 y y))

Compiler

Compiled 209 to 64 computations (69.4% saved)

series11.0ms (0.3%)

Error

10.7b

Counts

1 → 6

Calls

1 calls:

10.0ms

(/.f64 x (*.f64 y y))

Compiler

Compiled 91 to 65 computations (28.6% saved)

simplify82.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

553×	`div-sub_binary64`
385×	`associate-/l*_binary64`
361×	`associate-/l/_binary64`
320×	`*-commutative_binary64`
249×	`associate-/r*_binary64`

Counts

27 → 15

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	44	289
1	93	244
2	218	244
3	577	244
4	1866	244
5	2383	244
6	3874	244
7	4954	244
8	4869	244

prune7.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	11	4	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	11	5	16

Error

0.3b

Counts

16 → 5

Alt Table

Status	Error	Program
✓	10.7b	(/.f64 x (*.f64 y y))
	33.2b	(/.f64 (sqrt.f64 x) (/.f64 y (/.f64 (sqrt.f64 x) y)))
	6.8b	(/.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 y (/.f64 (cbrt.f64 x) y)))
▶	1.0b	(/.f64 1 (/.f64 y (/.f64 x y)))
	28.5b	(cbrt.f64 (pow.f64 (/.f64 x (*.f64 y y)) 3))

Compiler

Compiled 145 to 78 computations (46.2% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 y (/.f64 x y))
0.9b	(/.f64 1 (/.f64 y (/.f64 x y)))

rewrite350.0ms (10.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

471×	`times-frac_binary64`
229×	`*-un-lft-identity_binary64`
229×	`add-sqr-sqrt_binary64`
229×	`add-cube-cbrt_binary64`
57×	`associate-/r*_binary64`

Counts

2 → 274

Calls

2 calls:

9.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
4.0ms	(/.f64 y (/.f64 x y))

Compiler

Compiled 5250 to 1981 computations (62.3% saved)

series21.0ms (0.7%)

Error

0.3b

Counts

2 → 12

Calls

2 calls:

10.0ms	(/.f64 1 (/.f64 y (/.f64 x y)))
10.0ms	(/.f64 y (/.f64 x y))

Compiler

Compiled 206 to 154 computations (25.2% saved)

simplify392.0ms (12%)

Algorithm

1×	egg-herbie

Rules

466×	`unsub-neg_binary64`
301×	`*-commutative_binary64`
295×	`associate-/r/_binary64`
254×	`associate--r-_binary64`
217×	`associate--l-_binary64`

Counts

286 → 274

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	241	6111
1	474	5112
2	1469	4701
3	1709	4653
4	2228	4638
5	3366	4430
6	4297	4328
7	4934	4328
8	4869	4328

prune94.0ms (2.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	267	7	274
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	271	8	279

Error

Counts

279 → 8

Alt Table

Status	Error	Program
▶	0.2b	(*.f64 (/.f64 x y) (/.f64 1 y))
	4.1b	(.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 (.f64 y (cbrt.f64 y)))) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 y) 2)))
✓	10.7b	(/.f64 x (*.f64 y y))
	33.1b	(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) y) y))
	1.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 y)))
	28.6b	(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
	34.8b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (pow.f64 y 3/2)))
	1.0b	(/.f64 1 (*.f64 y (/.f64 y x)))

Compiler

Compiled 1943 to 705 computations (63.7% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.2b	(*.f64 (/.f64 x y) (/.f64 1 y))

rewrite44.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
23×	`add-exp-log_binary64`
17×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`

Counts

1 → 57

Calls

1 calls:

8.0ms

(*.f64 (/.f64 x y) (/.f64 1 y))

Compiler

Compiled 804 to 386 computations (52% saved)

series16.0ms (0.5%)

Error

Counts

1 → 6

Calls

1 calls:

15.0ms

(*.f64 (/.f64 x y) (/.f64 1 y))

Compiler

Compiled 91 to 65 computations (28.6% saved)

simplify106.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

524×	`sqr-pow_binary64`
317×	`times-frac_binary64`
287×	`associate-/l*_binary64`
276×	`pow-sqr_binary64`
267×	`sub-neg_binary64`

Counts

63 → 56

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	771
1	226	645
2	609	617
3	1434	605
4	1828	605
5	2545	605
6	4212	605
7	4319	605
8	4986	605

prune22.0ms (0.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	56	8	64

Error

Counts

64 → 8

Alt Table

Status	Error	Program
✓	0.2b	(*.f64 (/.f64 x y) (/.f64 1 y))
	4.1b	(.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 (.f64 y (cbrt.f64 y)))) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 y) 2)))
✓	10.7b	(/.f64 x (*.f64 y y))
	33.1b	(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) y) y))
	1.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 y)))
	28.6b	(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
	34.8b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (pow.f64 y 3/2)))
▶	1.0b	(/.f64 1 (*.f64 y (/.f64 y x)))

Compiler

Compiled 577 to 245 computations (57.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(*.f64 y (/.f64 y x))
0.9b	(/.f64 1 (*.f64 y (/.f64 y x)))

rewrite52.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-exp-log_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`add-cbrt-cube_binary64`
13×	`associate-r_binary64`
13×	`times-frac_binary64`

Counts

2 → 65

Calls

2 calls:

6.0ms	(*.f64 y (/.f64 y x))
4.0ms	(/.f64 1 (*.f64 y (/.f64 y x)))

Compiler

Compiled 792 to 315 computations (60.2% saved)

series22.0ms (0.7%)

Error

Counts

2 → 12

Calls

2 calls:

11.0ms	(/.f64 1 (*.f64 y (/.f64 y x)))
10.0ms	(*.f64 y (/.f64 y x))

Compiler

Compiled 206 to 154 computations (25.2% saved)

simplify115.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

479×	`times-frac_binary64`
309×	`associate-/l*_binary64`
299×	`*-commutative_binary64`
234×	`distribute-rgt-in_binary64`
224×	`unswap-sqr_binary64`

Counts

77 → 62

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	874
1	204	724
2	674	665
3	1947	657
4	2332	657
5	3400	657
6	4602	657
7	4940	657
8	4942	657

prune20.0ms (0.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	62	8	70

Error

Counts

70 → 8

Alt Table

Status	Error	Program
	0.2b	(*.f64 (/.f64 x y) (/.f64 1 y))
	4.1b	(.f64 (.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 (.f64 y (cbrt.f64 y)))) (/.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 y) 2)))
	10.7b	(/.f64 x (*.f64 y y))
	33.1b	(*.f64 (sqrt.f64 x) (/.f64 (/.f64 (sqrt.f64 x) y) y))
	1.1b	(.f64 (/.f64 (.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 (/.f64 x y))) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (cbrt.f64 (/.f64 x y)) (cbrt.f64 y)))
	28.6b	(/.f64 (sqrt.f64 (/.f64 x y)) (/.f64 y (sqrt.f64 (/.f64 x y))))
	34.8b	(*.f64 (/.f64 x (sqrt.f64 y)) (/.f64 1 (pow.f64 y 3/2)))
	1.0b	(/.f64 1 (*.f64 y (/.f64 y x)))

Compiler

Compiled 418 to 184 computations (56% saved)

regimes1.2s (35.4%)

Accuracy

Total 0.1b remaining (88.5%)

Threshold costs 0.1b (88.5%)

Compiler

Compiled 15715 to 9553 computations (39.2% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`*-rgt-identity_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms (0%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

sample564.0ms (17.3%)

Algorithm

1×

intervals

Results

233.0ms	8000×	body	128	valid
10.0ms	403×	body	128	invalid

Compiler

Compiled 124 to 72 computations (41.9% saved)

Details

analyze112.0ms (3.4%)

sample17.0ms (0.5%)

simplify8.0ms (0.3%)

prune1.0ms (0%)

localize3.0ms (0.1%)

rewrite21.0ms (0.7%)

series11.0ms (0.3%)

simplify82.0ms (2.5%)

prune7.0ms (0.2%)

localize8.0ms (0.3%)

rewrite350.0ms (10.7%)

series21.0ms (0.7%)

simplify392.0ms (12%)

prune94.0ms (2.9%)

localize6.0ms (0.2%)

rewrite44.0ms (1.3%)

series16.0ms (0.5%)

simplify106.0ms (3.3%)

prune22.0ms (0.7%)

localize5.0ms (0.1%)

rewrite52.0ms (1.6%)

series22.0ms (0.7%)

simplify115.0ms (3.5%)

prune20.0ms (0.6%)

regimes1.2s (35.4%)

simplify7.0ms (0.2%)

end0.0ms (0%)

sample564.0ms (17.3%)

Profiling