Details

analyze79.0ms (1.1%)

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%	74.9%	25.1%	4
12.5%	62.4%	25.1%	5
25%	37.5%	37.6%	6
31.2%	31.2%	37.6%	7
37.5%	18.7%	43.8%	8
39%	15.6%	45.4%	9
42.1%	9.4%	48.5%	10
42.9%	7.8%	49.3%	11
44.5%	4.7%	50.8%	12
44.9%	3.9%	51.2%	13
45.7%	2.3%	52%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample993.0ms (13.6%)

Results

924.0ms	8256×	body	128	valid
21.0ms	228×	body	128	invalid

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify20.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

151×	`fma-def_binary64`
131×	`fma-neg_binary64`
45×	`cancel-sign-sub-inv_binary64`
38×	`sub-neg_binary64`
31×	`unsub-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	16	10
2	37	10
3	63	10
4	127	10
5	233	10
6	324	10
7	361	10
8	400	10
9	414	10
10	383	10

prune3.0ms (0%)

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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

Compiler

Compiled 35 to 22 computations (37.1% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

series10.0ms (0.1%)

Counts

1 → 15

Calls

1 calls:

9.0ms

(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

rewrite1.0ms (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:

0.0ms

(fma.f64 y (sqrt.f64 x) (-.f64 1 x))

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

709×	`distribute-rgt-in_binary64`
693×	`distribute-lft-in_binary64`
571×	`neg-mul-1_binary64`
544×	`unsub-neg_binary64`
296×	`associate-+l+_binary64`

Counts

25 → 25

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	263
1	34	241
2	94	241
3	413	241
4	2431	241
5	4317	241
6	4957	241

prune18.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	22	3	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	4	26

Error

0.0b

Counts

26 → 4

Alt Table

Status	Error	Program
▶	0.9b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
✓	0.1b	(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
	30.9b	(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	28.1b	(cbrt.f64 (.f64 (.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

Compiler

Compiled 410 to 228 computations (44.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
✓	0.2b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
✓	0.4b	(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
✓	0.4b	(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))

series200.0ms (2.7%)

Counts

3 → 45

Calls

3 calls:

119.0ms

(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

72.0ms

(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))

9.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

rewrite19.0ms (0.3%)

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:

6.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

5.0ms

(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

1.0ms

(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))

simplify124.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

530×	`times-frac_binary64`
343×	`fma-def_binary64`
292×	`associate-r_binary64`
246×	`*-commutative_binary64`
235×	`associate-l_binary64`

Counts

138 → 195

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	369	5400
1	1102	4956
2	4018	4580
3	4960	4580

prune517.0ms (7.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	366	8	374
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	367	11	378

Error

0.0b

Counts

378 → 11

Alt Table

Status	Error	Program
	28.3b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	21.8b	(.f64 (cbrt.f64 (.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	30.9b	(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	31.0b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
✓	0.9b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
✓	0.1b	(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
	1.5b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	31.0b	(.f64 (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
	1.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
	1.1b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
▶	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

Compiler

Compiled 17757 to 10641 computations (40.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	0.4b	(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))
✓	0.4b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
✓	0.4b	(cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

series185.0ms (2.5%)

Counts

2 → 30

Calls

2 calls:

116.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
68.0ms	(cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 27

Calls

2 calls:

2.0ms	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
1.0ms	(cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

simplify124.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

531×	`times-frac_binary64`
346×	`fma-neg_binary64`
337×	`fma-def_binary64`
274×	`sub-neg_binary64`
239×	`associate-r_binary64`

Counts

57 → 81

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	339	3845
1	1027	3675
2	3721	3647
3	4991	3571
4	5060	3571

prune882.0ms (12.1%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	428	1	429
Fresh	0	8	8
Picked	0	1	1
Done	1	1	2
Total	429	11	440

Error

0.0b

Counts

440 → 11

Alt Table

Status	Error	Program
	1.2b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	1.5b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	28.3b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	21.8b	(.f64 (cbrt.f64 (.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	30.9b	(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	31.0b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
	31.0b	(.f64 (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
	1.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
▶	1.1b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
✓	0.1b	(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
✓	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

Compiler

Compiled 34397 to 20964 computations (39.1% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
✓	0.4b	(.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
	0.4b	(cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))
✓	0.4b	(cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))

series183.0ms (2.5%)

Counts

2 → 30

Calls

2 calls:

111.0ms

(*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))

71.0ms

(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))

rewrite15.0ms (0.2%)

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:

6.0ms

(cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))

5.0ms

(*.f64 (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (*.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))

simplify108.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

530×	`times-frac_binary64`
340×	`fma-def_binary64`
284×	`sub-neg_binary64`
266×	`associate-r_binary64`
234×	`*-commutative_binary64`

Counts

75 → 123

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	345	4211
1	1059	3873
2	3837	3600
3	5114	3600

prune3.0s (40.9%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	950	1	951
Fresh	1	7	8
Picked	0	1	1
Done	0	2	2
Total	951	11	962

Error

0.0b

Counts

962 → 11

Alt Table

Status	Error	Program
	28.3b	(cbrt.f64 (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	21.8b	(.f64 (cbrt.f64 (.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)) (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	30.9b	(*.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	31.0b	(.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
	1.2b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))
	31.0b	(.f64 (.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4) (cbrt.f64 (sqrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x)))) (cbrt.f64 (sqrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
	1.7b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (fma.f64 y (sqrt.f64 x) 1) x))) 4)) (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))
	1.4b	(.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) 4)) (cbrt.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))) (cbrt.f64 (.f64 (*.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
✓	1.1b	(.f64 (.f64 (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))))) (cbrt.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))))
✓	0.1b	(fma.f64 y (sqrt.f64 x) (-.f64 1 x))
✓	1.0b	(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x)))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))) (cbrt.f64 (fma.f64 y (sqrt.f64 x) (-.f64 1 x))))

Compiler

Compiled 104242 to 61927 computations (40.6% saved)

regimes449.0ms (6.2%)

Accuracy

Total 0.0b remaining (57.9%)

Threshold costs 0.0b (57.9%)

Counts

97 → 1

Compiler

Compiled 14726 to 9127 computations (38% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`sub-neg_binary64`
1×	`*-commutative_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	15	10
3	17	10
4	18	10
5	17	10

end273.0ms (3.7%)

Compiler: Compiled 546 to 335 computations (38.6% saved)

Iter	Nodes	Cost
0	8	12
1	16	10
2	37	10
3	63	10
4	127	10
5	233	10
6	324	10
7	361	10
8	400	10
9	414	10
10	383	10

Iter	Nodes	Cost
0	8	12
1	16	10
2	37	10
3	63	10
4	127	10
5	233	10
6	324	10
7	361	10
8	400	10
9	414	10
10	383	10

Details

analyze79.0ms (1.1%)

sample993.0ms (13.6%)

simplify20.0ms (0.3%)

prune3.0ms (0%)

localize5.0ms (0.1%)

series10.0ms (0.1%)

rewrite1.0ms (0%)

simplify52.0ms (0.7%)

prune18.0ms (0.2%)

localize11.0ms (0.2%)

series200.0ms (2.7%)

rewrite19.0ms (0.3%)

simplify124.0ms (1.7%)

prune517.0ms (7.1%)

localize12.0ms (0.2%)

series185.0ms (2.5%)

rewrite5.0ms (0.1%)

simplify124.0ms (1.7%)

prune882.0ms (12.1%)

localize12.0ms (0.2%)

series183.0ms (2.5%)

rewrite15.0ms (0.2%)

simplify108.0ms (1.5%)

prune3.0s (40.9%)

regimes449.0ms (6.2%)

simplify2.0ms (0%)

end273.0ms (3.7%)

Profiling

Iter	Nodes	Cost
0	8	12
1	16	10
2	37	10
3	63	10
4	127	10
5	233	10
6	324	10
7	361	10
8	400	10
9	414	10
10	383	10