Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample224.0ms (5.8%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify86.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

649×	`fma-neg_binary64`
504×	`div-sub_binary64`
481×	`fma-def_binary64`
326×	`times-frac_binary64`
174×	`associate-/l/_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	21	10
3	37	10
4	64	10
5	113	10
6	216	10
7	415	10
8	754	10
9	1183	10
10	1537	10
11	1612	10
12	1657	10
13	1684	10
14	1694	10
15	1702	10
16	1702	10
17	1600	10

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

62.0b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	62.0b	(/.f64 (-.f64 x lo) (-.f64 hi lo))

Compiler

Compiled 30 to 18 computations (40% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	62.0b	(/.f64 (-.f64 x lo) (-.f64 hi lo))

series22.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

22.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64`
37×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
12×	`distribute-lft-out--_binary64`

Counts

1 → 54

Calls

1 calls:

7.0ms

(/.f64 (-.f64 x lo) (-.f64 hi lo))

simplify94.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

810×	`fma-neg_binary64`
418×	`fma-def_binary64`
402×	`associate--l+_binary64`
279×	`cancel-sign-sub-inv_binary64`
264×	`times-frac_binary64`

Counts

90 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	2093
1	436	2033
2	1358	1879
3	4643	1879
4	5346	1879

prune42.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	5	85

Error

51.3b

Counts

85 → 5

Alt Table

Status	Error	Program
	52.0b	(fma.f64 (/.f64 x hi) (/.f64 lo hi) (/.f64 (-.f64 x lo) hi))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3)))
▶	51.9b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	57.3b	(-.f64 (+.f64 1 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 3))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))

Compiler

Compiled 1931 to 699 computations (63.8% saved)

localize63.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))
✓	0.2b	(.f64 (/.f64 x lo) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
✓	0.4b	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
✓	1.5b	(+.f64 1 (/.f64 hi lo))

series179.0ms (4.6%)

Counts

4 → 102

Calls

4 calls:

90.0ms	(+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))
67.0ms	(.f64 (/.f64 x lo) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
17.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
5.0ms	(+.f64 1 (/.f64 hi lo))

rewrite43.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
31×	`*-un-lft-identity_binary64`
30×	`add-cbrt-cube_binary64`
30×	`add-exp-log_binary64`
28×	`times-frac_binary64`

Counts

4 → 142

Calls

4 calls:

12.0ms	(.f64 (/.f64 x lo) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
9.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
7.0ms	(+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))
4.0ms	(+.f64 1 (/.f64 hi lo))

simplify110.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

928×	`distribute-rgt-in_binary64`
855×	`fma-def_binary64`
347×	`associate-r_binary64`
261×	`associate-l_binary64`
191×	`*-commutative_binary64`

Counts

244 → 229

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	247	4910
1	670	4550
2	2417	4057
3	5296	4057

prune478.0ms (12.4%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	300	12	312
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	302	15	317

Error

51.3b

Counts

317 → 15

Alt Table

Status	Error	Program
	52.0b	(fma.f64 (/.f64 x hi) (/.f64 lo hi) (/.f64 (-.f64 x lo) hi))
	51.9b	(-.f64 (+.f64 1 (.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (.f64 (cbrt.f64 (/.f64 hi lo)) (cbrt.f64 (/.f64 hi lo)))) (cbrt.f64 (/.f64 hi lo)))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3)))
	57.3b	(-.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 (+.f64 1 (/.f64 hi lo))) (sqrt.f64 (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (/.f64 (fma.f64 lo (.f64 (/.f64 x lo) (-.f64 (/.f64 hi lo) (pow.f64 (/.f64 hi lo) 3))) (.f64 x (-.f64 1 (/.f64 hi lo)))) (.f64 lo (-.f64 1 (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (cbrt.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))) (cbrt.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (log.f64 (exp.f64 (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (log.f64 (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (fma.f64 hi (/.f64 hi lo) hi) (/.f64 1 lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (.f64 (.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) (cbrt.f64 (+.f64 1 (/.f64 hi lo)))) (cbrt.f64 (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
▶	51.9b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	57.3b	(-.f64 (+.f64 1 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 3))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 (sqrt.f64 hi) (.f64 (cbrt.f64 lo) (cbrt.f64 lo)))) (/.f64 (sqrt.f64 hi) (cbrt.f64 lo)))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (/.f64 (cbrt.f64 hi) lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 (.f64 (cbrt.f64 hi) (cbrt.f64 hi)) (.f64 (cbrt.f64 lo) (cbrt.f64 lo)))) (/.f64 (cbrt.f64 hi) (cbrt.f64 lo)))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))

Compiler

Compiled 12829 to 5147 computations (59.9% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (/.f64 x lo) (.f64 (/.f64 hi lo) (/.f64 hi lo)))
	0.4b	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
✓	0.5b	(*.f64 (/.f64 hi lo) (/.f64 hi lo))
	1.5b	(+.f64 1 (/.f64 hi lo))

series107.0ms (2.8%)

Counts

2 → 60

Calls

2 calls:

75.0ms	(.f64 (/.f64 x lo) (.f64 (/.f64 hi lo) (/.f64 hi lo)))
32.0ms	(*.f64 (/.f64 hi lo) (/.f64 hi lo))

rewrite34.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`add-cbrt-cube_binary64`
55×	`add-exp-log_binary64`
52×	`add-sqr-sqrt_binary64`
50×	`times-frac_binary64`
37×	`*-un-lft-identity_binary64`

Counts

2 → 124

Calls

2 calls:

11.0ms	(.f64 (/.f64 x lo) (.f64 (/.f64 hi lo) (/.f64 hi lo)))
11.0ms	(*.f64 (/.f64 hi lo) (/.f64 hi lo))

simplify106.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

825×	`times-frac_binary64`
494×	`associate-/l/_binary64`
407×	`associate-/r*_binary64`
303×	`log-prod_binary64`
242×	`associate-r_binary64`

Counts

184 → 182

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	3186
1	513	2529
2	1731	2345
3	4514	2345
4	5057	2345

prune265.0ms (6.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	255	10	265
Fresh	10	4	14
Picked	1	0	1
Done	0	0	0
Total	266	14	280

Error

51.3b

Counts

280 → 14

Alt Table

Status	Error	Program
	52.0b	(fma.f64 (/.f64 x hi) (/.f64 lo hi) (/.f64 (-.f64 x lo) hi))
	51.9b	(-.f64 (+.f64 1 (.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 (.f64 (cbrt.f64 hi) (cbrt.f64 hi)) (.f64 (cbrt.f64 lo) (cbrt.f64 lo)))) (/.f64 (cbrt.f64 hi) (cbrt.f64 lo)))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(-.f64 (+.f64 1 (.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 (sqrt.f64 hi) (.f64 (cbrt.f64 lo) (cbrt.f64 lo)))) (/.f64 (sqrt.f64 hi) (cbrt.f64 lo)))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	57.3b	(-.f64 (+.f64 1 (+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (pow.f64 (/.f64 hi lo) 3))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (fma.f64 hi (/.f64 hi lo) hi) (/.f64 1 lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (.f64 (cbrt.f64 (/.f64 hi lo)) (cbrt.f64 (/.f64 hi lo)))) (cbrt.f64 (/.f64 hi lo)))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (log.f64 (exp.f64 (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (log.f64 (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (/.f64 (fma.f64 lo (.f64 (/.f64 x lo) (-.f64 (/.f64 hi lo) (pow.f64 (/.f64 hi lo) 3))) (.f64 x (-.f64 1 (/.f64 hi lo)))) (.f64 lo (-.f64 1 (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (/.f64 (cbrt.f64 hi) lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	51.9b	(-.f64 (+.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (cbrt.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))) (cbrt.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
▶	51.9b	(-.f64 (+.f64 1 (.f64 (.f64 (.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) (cbrt.f64 (+.f64 1 (/.f64 hi lo)))) (cbrt.f64 (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	57.3b	(-.f64 (+.f64 1 (.f64 (.f64 (sqrt.f64 (+.f64 1 (/.f64 hi lo))) (sqrt.f64 (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (.f64 (/.f64 hi lo) (/.f64 hi lo)))))

Compiler

Compiled 10187 to 3278 computations (67.8% saved)

localize25.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (/.f64 hi lo) (/.f64 hi lo))
✓	0.5b	(*.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) (cbrt.f64 (+.f64 1 (/.f64 hi lo))))
✓	0.7b	(cbrt.f64 (+.f64 1 (/.f64 hi lo)))
	1.5b	(+.f64 1 (/.f64 hi lo))

series51.0ms (1.3%)

Counts

2 → 48

Calls

2 calls:

28.0ms	(*.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) (cbrt.f64 (+.f64 1 (/.f64 hi lo))))
22.0ms	(cbrt.f64 (+.f64 1 (/.f64 hi lo)))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64`
27×	`*-un-lft-identity_binary64`
19×	`add-sqr-sqrt_binary64`
14×	`cbrt-div_binary64`
11×	`add-cube-cbrt_binary64`

Counts

2 → 71

Calls

2 calls:

16.0ms	(*.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) (cbrt.f64 (+.f64 1 (/.f64 hi lo))))
4.0ms	(cbrt.f64 (+.f64 1 (/.f64 hi lo)))

simplify114.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

589×	`associate-/l*_binary64`
517×	`associate-/r*_binary64`
467×	`fma-def_binary64`
264×	`associate-/r/_binary64`
246×	`associate-*l/_binary64`

Counts

119 → 142

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	218	3779
1	579	3364
2	1549	3052
3	4741	2943
4	4964	2943

prune377.0ms (9.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	396	6	402
Fresh	12	1	13
Picked	1	0	1
Done	0	0	0
Total	409	7	416

Error

49.9b

Counts

416 → 7

Alt Table

Status	Error	Program
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3)))
	51.2b	(-.f64 (+.f64 1 (.f64 (.f64 (.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) (cbrt.f64 (+.f64 1 (/.f64 hi lo)))) (fma.f64 1/3 (/.f64 hi lo) 1)) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	51.0b	(-.f64 (+.f64 1 (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 hi lo) (/.f64 hi lo))) (cbrt.f64 (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	51.5b	(-.f64 (+.f64 1 (.f64 (.f64 (+.f64 1 (fma.f64 (/.f64 hi lo) 2/3 (.f64 (.f64 (/.f64 hi lo) (/.f64 hi lo)) (fma.f64 4/81 (/.f64 hi lo) -1/9)))) (cbrt.f64 (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	51.6b	(-.f64 (+.f64 1 (.f64 (.f64 (fma.f64 (.f64 (/.f64 hi lo) (/.f64 hi lo)) -1/9 (fma.f64 (/.f64 hi lo) 2/3 1)) (cbrt.f64 (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	51.2b	(-.f64 (+.f64 1 (.f64 (.f64 (.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) (+.f64 1 (.f64 1/3 (/.f64 hi lo)))) (cbrt.f64 (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (.f64 (/.f64 hi lo) (/.f64 hi lo)))))
	51.6b	(-.f64 (+.f64 1 (.f64 (.f64 (.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) (cbrt.f64 (+.f64 1 (/.f64 hi lo)))) 1) (/.f64 hi lo))) (+.f64 (/.f64 x lo) (.f64 (/.f64 x lo) (*.f64 (/.f64 hi lo) (/.f64 hi lo)))))

Compiler

Compiled 22243 to 9606 computations (56.8% saved)

regimes417.0ms (10.8%)

Accuracy

Total 1.2b remaining (2.3%)

Threshold costs 0b (0%)

Counts

94 → 1

Compiler

Compiled 13162 to 6600 computations (49.9% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
10×	`*-commutative_binary64`
8×	`sub-neg_binary64`
7×	`neg-sub0_binary64`
7×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	56
1	27	56
2	35	56
3	50	56
4	62	56
5	72	56
6	78	56
7	81	56
8	82	56
9	81	56

end1.0ms (0%)

Compiler: Compiled 40 to 17 computations (57.5% saved)

sample962.0ms (24.9%)

Algorithm

1×

intervals

Results

276.0ms	8000×	body	128	valid
253.0ms	8000×	pre	128	true

Compiler

Compiled 366 to 177 computations (51.6% saved)

Details

analyze4.0ms (0.1%)

sample224.0ms (5.8%)

simplify86.0ms (2.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series22.0ms (0.6%)

rewrite11.0ms (0.3%)

simplify94.0ms (2.4%)

prune42.0ms (1.1%)

localize63.0ms (1.6%)

series179.0ms (4.6%)

rewrite43.0ms (1.1%)

simplify110.0ms (2.8%)

prune478.0ms (12.4%)

localize13.0ms (0.3%)

series107.0ms (2.8%)

rewrite34.0ms (0.9%)

simplify106.0ms (2.7%)

prune265.0ms (6.9%)

localize25.0ms (0.6%)

series51.0ms (1.3%)

rewrite26.0ms (0.7%)

simplify114.0ms (2.9%)

prune377.0ms (9.7%)

regimes417.0ms (10.8%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample962.0ms (24.9%)

Profiling