Details

analyze2.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.0s (21.5%)

Results

795.0ms

8256×

body

128

valid

Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify84.0ms (1.8%)

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

prune1.0ms (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 (0.5%)

Counts

1 → 36

Calls

1 calls:

21.0ms

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

rewrite11.0ms (0.2%)

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))

simplify80.0ms (1.7%)

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

prune41.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	3	85

Error

51.3b

Counts

85 → 3

Alt Table

Status	Error	Program
	57.5b	(-.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)))
	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)))

Compiler

Compiled 1837 to 651 computations (64.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
✓	0.1b	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
✓	0.4b	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
✓	1.7b	(+.f64 1 (/.f64 hi lo))

series54.0ms (1.1%)

Counts

4 → 90

Calls

4 calls:

21.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
16.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
12.0ms	(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
4.0ms	(+.f64 1 (/.f64 hi lo))

rewrite31.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64`
28×	`*-un-lft-identity_binary64`
26×	`associate-r_binary64`
22×	`add-cube-cbrt_binary64`
20×	`times-frac_binary64`

Counts

4 → 111

Calls

4 calls:

10.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
8.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
4.0ms	(+.f64 1 (/.f64 hi lo))
2.0ms	(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))

simplify69.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

553×	`associate-*l/_binary64`
505×	`distribute-rgt-in_binary64`
475×	`distribute-lft-in_binary64`
415×	`fma-def_binary64`
398×	`associate-/l*_binary64`

Counts

201 → 173

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	174	3122
1	444	2831
2	1526	2532
3	5142	2532

prune155.0ms (3.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	184	11	195
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	185	13	198

Error

51.3b

Counts

198 → 13

Alt Table

Status	Error	Program
	51.9b	(-.f64 (expm1.f64 (log1p.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (/.f64 hi lo) (/.f64 x lo)))
	51.9b	(-.f64 (cbrt.f64 (.f64 (.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))) (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x 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 1 (/.f64 hi lo)) (/.f64 x lo)))
	57.5b	(-.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 (+.f64 1 (pow.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) 3)) (fma.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo) (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) -1) 1)) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (.f64 (sqrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) (sqrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))) (cbrt.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (cbrt.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1) 3)) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (.f64 (log.f64 (exp.f64 (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
▶	51.9b	(-.f64 (log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x 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)))

Compiler

Compiled 6419 to 2945 computations (54.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
✓	0.3b	(.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))
	0.4b	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
	1.7b	(+.f64 1 (/.f64 hi lo))

series528.0ms (11.3%)

Counts

2 → 48

Calls

2 calls:

517.0ms	(log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))
11.0ms	(.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64`
6×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`

Counts

2 → 36

Calls

2 calls:

5.0ms	(.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))
4.0ms	(log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))

simplify87.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

887×	`fma-def_binary64`
483×	`associate-/l/_binary64`
291×	`times-frac_binary64`
266×	`associate-+l+_binary64`
201×	`exp-sum_binary64`

Counts

84 → 67

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	79	1663
1	169	1485
2	507	1325
3	1949	1297
4	4528	1297
5	4991	1297
6	4962	1297

prune154.0ms (3.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	158	14	172
Fresh	8	4	12
Picked	1	0	1
Done	0	0	0
Total	167	18	185

Error

51.3b

Counts

185 → 18

Alt Table

Status	Error	Program
	51.9b	(-.f64 (.f64 (sqrt.f64 (log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))) (sqrt.f64 (log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (log.f64 (.f64 (.f64 (E.f64) (sqrt.f64 (exp.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (sqrt.f64 (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (log.f64 (.f64 (exp.f64 1) (exp.f64 (.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 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (log.f64 (.f64 (.f64 (E.f64) (.f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo))))) (cbrt.f64 (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))) (cbrt.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (cbrt.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (/.f64 (cbrt.f64 hi) lo))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (.f64 (.f64 (cbrt.f64 (log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))) (cbrt.f64 (log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))))) (cbrt.f64 (log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (*.f64 (/.f64 hi lo) (/.f64 x lo)))
	51.9b	(-.f64 (log.f64 (cbrt.f64 (.f64 (.f64 (.f64 (exp.f64 1) (exp.f64 1)) (exp.f64 1)) (.f64 (.f64 (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x 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 (log.f64 (.f64 (.f64 (cbrt.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (cbrt.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))) (cbrt.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	57.5b	(-.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 (log.f64 (expm1.f64 (log1p.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (cbrt.f64 (pow.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)) 3)) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (cbrt.f64 (.f64 (.f64 (log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))))) (log.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (log.f64 (.f64 (sqrt.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))) (sqrt.f64 (.f64 (exp.f64 1) (exp.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
▶	51.9b	(-.f64 (log.f64 (.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))

Compiler

Compiled 6763 to 3483 computations (48.5% saved)

localize17.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))))
✓	0.6b	(cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo))))
	1.7b	(+.f64 1 (/.f64 hi lo))
✓	1.7b	(fma.f64 hi (/.f64 hi lo) hi)

series1.0s (22%)

Counts

3 → 72

Calls

3 calls:

566.0ms

(*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))))

456.0ms

(cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo))))

8.0ms

(fma.f64 hi (/.f64 hi lo) hi)

rewrite24.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
20×	`add-sqr-sqrt_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`

Counts

3 → 69

Calls

3 calls:

13.0ms

(*.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))))

5.0ms

(cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo))))

0.0ms

(fma.f64 hi (/.f64 hi lo) hi)

simplify112.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

518×	`unswap-sqr_binary64`
417×	`associate-l_binary64`
330×	`associate-r_binary64`
288×	`times-frac_binary64`
231×	`log-prod_binary64`

Counts

141 → 126

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	3632
1	249	3371
2	749	2993
3	3112	2805
4	4817	2805
5	5110	2805

prune188.0ms (4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	240	6	246
Fresh	16	1	17
Picked	1	0	1
Done	0	0	0
Total	257	7	264

Error

49.3b

Counts

264 → 7

Alt Table

Status	Error	Program
	50.9b	(-.f64 (log.f64 (.f64 (+.f64 (cbrt.f64 (exp.f64 2)) (.f64 (cbrt.f64 (exp.f64 2)) (+.f64 (.f64 (/.f64 hi lo) (+.f64 2/3 (.f64 8/9 (/.f64 hi lo)))) (.f64 40/81 (pow.f64 (/.f64 hi lo) 3))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	58.2b	(-.f64 (log.f64 (.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (fma.f64 1/3 (/.f64 (.f64 hi (exp.f64 1/3)) lo) (exp.f64 1/3))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	58.2b	(-.f64 (log.f64 (.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo))))) (fma.f64 1/3 (/.f64 (.f64 hi (exp.f64 1/3)) lo) (exp.f64 1/3)))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	58.2b	(-.f64 (log.f64 (.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (+.f64 (exp.f64 1/3) (.f64 1/3 (/.f64 (.f64 (exp.f64 1/3) hi) lo)))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	50.4b	(-.f64 (log.f64 (.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 hi lo))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	50.4b	(-.f64 (log.f64 (.f64 (.f64 (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo)))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 (fma.f64 hi (/.f64 hi lo) hi) lo))))) (cbrt.f64 (exp.f64 (+.f64 1 (/.f64 hi lo)))))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x 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)))

Compiler

Compiled 13977 to 5952 computations (57.4% saved)

regimes760.0ms (16.3%)

Accuracy

Total 1.1b remaining (2.2%)

Threshold costs 0b (0%)

Counts

152 → 1

Compiler

Compiled 19858 to 11892 computations (40.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`+-commutative_binary64`
9×	`*-commutative_binary64`
7×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	68
1	32	68
2	45	68
3	58	68
4	68	68
5	74	68
6	76	68
7	74	68

end180.0ms (3.9%)

Compiler: Compiled 428 to 246 computations (42.5% saved)

Details

analyze2.0ms (0%)

sample1.0s (21.5%)

simplify84.0ms (1.8%)

prune1.0ms (0%)

localize5.0ms (0.1%)

series22.0ms (0.5%)

rewrite11.0ms (0.2%)

simplify80.0ms (1.7%)

prune41.0ms (0.9%)

localize9.0ms (0.2%)

series54.0ms (1.1%)

rewrite31.0ms (0.7%)

simplify69.0ms (1.5%)

prune155.0ms (3.3%)

localize13.0ms (0.3%)

series528.0ms (11.3%)

rewrite11.0ms (0.2%)

simplify87.0ms (1.9%)

prune154.0ms (3.3%)

localize17.0ms (0.4%)

series1.0s (22%)

rewrite24.0ms (0.5%)

simplify112.0ms (2.4%)

prune188.0ms (4%)

regimes760.0ms (16.3%)

simplify4.0ms (0.1%)

end180.0ms (3.9%)

Profiling