Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample489.0ms (13.3%)

Infinites

25.1% of outputs are infinite.

Results

443.0ms

8256×

body

128

valid

Compiler

Compiled 23 to 14 computations (39.1% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`
1×	`associate-r_binary64`
1×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	9	7
2	10	7
3	10	7

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (.f64 x y) y)

Compiler

Compiled 26 to 13 computations (50% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x y) y)

series10.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

10.0ms

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

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-r_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

4.0ms

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

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

723×	`fma-def_binary64`
373×	`associate-l_binary64`
319×	`unswap-sqr_binary64`
312×	`associate-*r/_binary64`
263×	`associate-*l/_binary64`

Counts

44 → 31

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	39	389
1	95	344
2	300	344
3	591	342
4	859	342
5	1608	342
6	4153	342
7	4970	342

prune19.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	26	5	31
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	6	32

Error

0.0b

Counts

32 → 6

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (.f64 x y) y)
	36.2b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
	0.8b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	21.9b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
▶	0.7b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))
	8.0b	(*.f64 (pow.f64 y 2) x)

Compiler

Compiled 440 to 153 computations (65.2% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 x y) y)
✓	0.2b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))
✓	0.4b	(.f64 (cbrt.f64 (.f64 (.f64 x y) y)) (cbrt.f64 (.f64 (*.f64 x y) y)))
✓	28.2b	(cbrt.f64 (.f64 (.f64 x y) y))

series1.1s (30%)

Counts

3 → 72

Calls

3 calls:

619.0ms

(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y)))

465.0ms

(cbrt.f64 (*.f64 (*.f64 x y) y))

21.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
16×	`pow1/3_binary64`
11×	`pow-prod-up_binary64`
11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64`

Counts

3 → 79

Calls

3 calls:

11.0ms

(*.f64 (*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y))) (cbrt.f64 (*.f64 (*.f64 x y) y)))

4.0ms

(*.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) (cbrt.f64 (*.f64 (*.f64 x y) y)))

2.0ms

(cbrt.f64 (*.f64 (*.f64 x y) y))

simplify119.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

651×	`unswap-sqr_binary64`
407×	`fma-neg_binary64`
356×	`fma-def_binary64`
202×	`exp-prod_binary64`
202×	`log-prod_binary64`

Counts

151 → 129

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	136	2312
1	275	1992
2	681	1634
3	1466	1454
4	4527	1450
5	4958	1450
6	4975	1450

prune182.0ms (4.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	274	2	276
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	275	7	282

Error

0.0b

Counts

282 → 7

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (.f64 x y) y)
	36.2b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
	0.8b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
	21.9b	(.f64 (sqrt.f64 (.f64 (.f64 x y) y)) (sqrt.f64 (.f64 (*.f64 x y) y)))
▶	0.7b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) y)) 3)
	8.0b	(*.f64 (pow.f64 y 2) x)
	0.8b	(.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))) (cbrt.f64 (.f64 (.f64 x y) y)))

Compiler

Compiled 6674 to 1349 computations (79.8% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 (.f64 x y) y)
✓	0.4b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) y)) 3)
	28.2b	(cbrt.f64 (.f64 (.f64 x y) y))

series499.0ms (13.6%)

Counts

1 → 24

Calls

1 calls:

499.0ms

(pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) 3)

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`cube-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`unpow-prod-down_binary64`
4×	`add-cube-cbrt_binary64`

Counts

1 → 28

Calls

1 calls:

2.0ms

(pow.f64 (cbrt.f64 (*.f64 (*.f64 x y) y)) 3)

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

449×	`log-prod_binary64`
356×	`fma-def_binary64`
350×	`distribute-rgt-in_binary64`
319×	`distribute-lft-in_binary64`
319×	`unswap-sqr_binary64`

Counts

52 → 47

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	896
1	207	809
2	574	563
3	1796	483
4	4761	483
5	5193	483

prune130.0ms (3.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	104	8	112

Error

0.0b

Counts

112 → 8

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (.f64 x y) y)
	36.2b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
▶	0.8b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) y)) 3)
	8.0b	(*.f64 (pow.f64 y 2) x)
	0.9b	(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 3) (pow.f64 (cbrt.f64 y) 3))
	0.8b	(.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))) (cbrt.f64 (.f64 (.f64 x y) y)))
	8.1b	(neg.f64 (/.f64 (*.f64 y y) (/.f64 -1 x)))

Compiler

Compiled 1526 to 700 computations (54.1% saved)

localize6.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
✓	0.2b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
✓	0.6b	(cbrt.f64 y)

series462.0ms (12.5%)

Counts

4 → 72

Calls

4 calls:

366.0ms	(.f64 (.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
43.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
29.0ms	(cbrt.f64 y)
23.0ms	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))

rewrite36.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`pow1_binary64`
36×	`add-exp-log_binary64`
23×	`pow-prod-down_binary64`
23×	`add-sqr-sqrt_binary64`
22×	`cbrt-unprod_binary64`

Counts

4 → 111

Calls

4 calls:

16.0ms	(.f64 (.f64 x y) (*.f64 (cbrt.f64 y) (cbrt.f64 y)))
9.0ms	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
4.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)

simplify133.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

501×	`*-commutative_binary64`
399×	`sqr-pow_binary64`
371×	`log-prod_binary64`
354×	`exp-prod_binary64`
292×	`associate-l_binary64`

Counts

183 → 149

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	125	1908
1	266	1583
2	1044	1476
3	1886	1448
4	3778	1300
5	4524	1296
6	4797	1296
7	4856	1296

prune128.0ms (3.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	185	0	185
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	185	8	193

Error

0.0b

Counts

193 → 8

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (.f64 x y) y)
	36.2b	(.f64 (.f64 x (pow.f64 y 3/2)) (sqrt.f64 y))
✓	0.8b	(.f64 (.f64 (.f64 x y) (.f64 (cbrt.f64 y) (cbrt.f64 y))) (cbrt.f64 y))
✓	0.7b	(pow.f64 (cbrt.f64 (.f64 (.f64 x y) y)) 3)
	8.0b	(*.f64 (pow.f64 y 2) x)
	0.9b	(.f64 (pow.f64 (cbrt.f64 (.f64 x y)) 3) (pow.f64 (cbrt.f64 y) 3))
	0.8b	(.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y)))) (.f64 (cbrt.f64 (cbrt.f64 (.f64 (.f64 x y) y))) (cbrt.f64 (.f64 (.f64 x y) y)))) (cbrt.f64 (.f64 (.f64 x y) y)))
	8.1b	(neg.f64 (/.f64 (*.f64 y y) (/.f64 -1 x)))

Compiler

Compiled 3089 to 831 computations (73.1% saved)

regimes86.0ms (2.3%)

Accuracy

Total 0.1b remaining (83.3%)

Threshold costs 0.1b (83.3%)

Counts

34 → 1

Compiler

Compiled 2003 to 886 computations (55.8% 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

end80.0ms (2.2%)

Compiler: Compiled 124 to 65 computations (47.6% saved)

Details

analyze1.0ms (0%)

sample489.0ms (13.3%)

simplify6.0ms (0.2%)

prune1.0ms (0%)

localize3.0ms (0.1%)

series10.0ms (0.3%)

rewrite5.0ms (0.1%)

simplify63.0ms (1.7%)

prune19.0ms (0.5%)

localize17.0ms (0.5%)

series1.1s (30%)

rewrite21.0ms (0.6%)

simplify119.0ms (3.2%)

prune182.0ms (4.9%)

localize5.0ms (0.1%)

series499.0ms (13.6%)

rewrite3.0ms (0.1%)

simplify71.0ms (1.9%)

prune130.0ms (3.5%)

localize6.0ms (0.2%)

series462.0ms (12.5%)

rewrite36.0ms (1%)

simplify133.0ms (3.6%)

prune128.0ms (3.5%)

regimes86.0ms (2.3%)

simplify2.0ms (0.1%)

end80.0ms (2.2%)

Profiling