Details

analyze99.0ms (1.2%)

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
49.9%	49.9%	0.1%	4
49.9%	49.9%	0.1%	5
49.9%	49.9%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
87.4%	12.5%	0.1%	10
87.4%	12.5%	0.1%	11
87.4%	12.5%	0.1%	12
93.6%	6.2%	0.1%	13
93.6%	6.2%	0.1%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample1.0s (12.7%)

Results

984.0ms

8256×

body

128

valid

Compiler

Compiled 32 to 20 computations (37.5% saved)

simplify18.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`associate-/l*_binary64`
1×	`associate-/r/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	10	10
2	12	8
3	14	8
4	15	8
5	15	8

prune6.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 y (/.f64 y z) x)
	5.9b	(+.f64 x (/.f64 (*.f64 y y) z))

Compiler

Compiled 54 to 30 computations (44.4% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series26.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

26.0ms

(fma.f64 y (/.f64 y z) x)

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma.f64 y (/.f64 y z) x)

simplify94.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

611×	`associate-/l/_binary64`
604×	`associate-+l+_binary64`
543×	`associate-l_binary64`
462×	`fma-def_binary64`
424×	`associate-/r*_binary64`

Counts

46 → 17

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	376
1	28	359
2	59	359
3	151	359
4	551	359
5	2861	359
6	5394	359

prune81.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	14	3	17
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	14	5	19

Error

0.0b

Counts

19 → 5

Alt Table

Status	Error	Program
	30.0b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (/.f64 y z) x) (fma.f64 y (/.f64 y z) x)) (fma.f64 y (/.f64 y z) x)))
✓	0.1b	(fma.f64 y (/.f64 y z) x)
	5.9b	(+.f64 x (/.f64 (*.f64 y y) z))
	32.5b	(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))
▶	1.1b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

Compiler

Compiled 322 to 103 computations (68% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y (/.f64 y z) x)
✓	0.2b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
✓	15.2b	(cbrt.f64 (fma.f64 y (/.f64 y z) x))

series282.0ms (3.4%)

Counts

3 → 108

Calls

3 calls:

132.0ms

(cbrt.f64 (fma.f64 y (/.f64 y z) x))

123.0ms

(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

26.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

7.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

5.0ms

(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))

1.0ms

(cbrt.f64 (fma.f64 y (/.f64 y z) x))

simplify244.0ms (3%)

Algorithm

1×	egg-herbie

Rules

688×	`fma-def_binary64`
298×	`associate-r_binary64`
276×	`cancel-sign-sub-inv_binary64`
257×	`unswap-sqr_binary64`
188×	`*-commutative_binary64`

Counts

201 → 199

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	316	6172
1	905	5625
2	2738	5166
3	4604	4783
4	4960	4783
5	4920	4783

prune467.0ms (5.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	362	4	366
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	363	8	371

Error

0.0b

Counts

371 → 8

Alt Table

Status	Error	Program
	1.8b	(.f64 (.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
	30.0b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (/.f64 y z) x) (fma.f64 y (/.f64 y z) x)) (fma.f64 y (/.f64 y z) x)))
	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
	5.9b	(+.f64 x (/.f64 (*.f64 y y) z))
	1.4b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
✓	0.1b	(fma.f64 y (/.f64 y z) x)
▶	1.1b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)
	32.5b	(*.f64 (sqrt.f64 (fma.f64 y (/.f64 y z) x)) (sqrt.f64 (fma.f64 y (/.f64 y z) x)))

Compiler

Compiled 14663 to 5337 computations (63.6% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y (/.f64 y z) x)
✓	0.6b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)
	15.2b	(cbrt.f64 (fma.f64 y (/.f64 y z) x))

series2.9s (35%)

Counts

1 → 36

Calls

1 calls:

2.9s	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cube-prod_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`cbrt-prod_binary64`
6×	`unpow-prod-down_binary64`

Counts

1 → 32

Calls

1 calls:

2.0ms

(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)

simplify115.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

777×	`fma-def_binary64`
495×	`associate-l_binary64`
404×	`associate-r_binary64`
280×	`exp-prod_binary64`
214×	`log-prod_binary64`

Counts

68 → 52

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	1448
1	225	1269
2	649	1149
3	3121	865
4	4719	865
5	4995	865
6	4934	865

prune187.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	126	1	127
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	128	7	135

Error

0.0b

Counts

135 → 7

Alt Table

Status	Error	Program
▶	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
	5.9b	(+.f64 x (/.f64 (*.f64 y y) z))
	1.8b	(.f64 (.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
	1.4b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
✓	0.1b	(fma.f64 y (/.f64 y z) x)
✓	1.1b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)
	5.7b	(*.f64 (fma.f64 (/.f64 y z) (/.f64 y x) 1) x)

Compiler

Compiled 3398 to 1800 computations (47% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
✓	0.5b	(.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
	15.2b	(cbrt.f64 (fma.f64 y (/.f64 y z) x))
✓	15.2b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))

series231.0ms (2.8%)

Counts

2 → 72

Calls

2 calls:

129.0ms

(*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))

101.0ms

(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`
7×	`pow1/3_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`

Counts

2 → 45

Calls

2 calls:

9.0ms

(*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))

9.0ms

(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))

simplify324.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

680×	`fma-def_binary64`
276×	`cancel-sign-sub-inv_binary64`
272×	`associate-r_binary64`
238×	`unswap-sqr_binary64`
178×	`*-commutative_binary64`

Counts

117 → 147

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	295	4938
1	867	4536
2	2615	4159
3	4632	3959
4	5000	3959
5	4907	3959

prune1.5s (17.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	1071	0	1071
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	1071	7	1078

Error

0.0b

Counts

1078 → 7

Alt Table

Status	Error	Program
✓	1.3b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))))
	5.9b	(+.f64 x (/.f64 (*.f64 y y) z))
	1.8b	(.f64 (.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6)) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6))) (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x))) 6))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
	1.4b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) (cbrt.f64 (fma.f64 y (/.f64 y z) x))))) (cbrt.f64 (fma.f64 y (/.f64 y z) x)))
✓	0.1b	(fma.f64 y (/.f64 y z) x)
✓	1.1b	(pow.f64 (cbrt.f64 (fma.f64 y (/.f64 y z) x)) 3)
	5.7b	(*.f64 (fma.f64 (/.f64 y z) (/.f64 y x) 1) x)

Compiler

Compiled 98028 to 21387 computations (78.2% saved)

regimes386.0ms (4.7%)

Accuracy

Total 0.0b remaining (73.8%)

Threshold costs 0.0b (73.8%)

Counts

50 → 1

Compiler

Compiled 10980 to 3482 computations (68.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	6	8

end168.0ms (2%)

Compiler: Compiled 246 to 78 computations (68.3% saved)

Details

analyze99.0ms (1.2%)

sample1.0s (12.7%)

simplify18.0ms (0.2%)

prune6.0ms (0.1%)

localize9.0ms (0.1%)

series26.0ms (0.3%)

rewrite2.0ms (0%)

simplify94.0ms (1.2%)

prune81.0ms (1%)

localize15.0ms (0.2%)

series282.0ms (3.4%)

rewrite19.0ms (0.2%)

simplify244.0ms (3%)

prune467.0ms (5.7%)

localize12.0ms (0.1%)

series2.9s (35%)

rewrite4.0ms (0%)

simplify115.0ms (1.4%)

prune187.0ms (2.3%)

localize23.0ms (0.3%)

series231.0ms (2.8%)

rewrite26.0ms (0.3%)

simplify324.0ms (3.9%)

prune1.5s (17.7%)

regimes386.0ms (4.7%)

simplify4.0ms (0%)

end168.0ms (2%)

Profiling