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)

sample1.7s (28.3%)

Results

1.4s

8256×

body

128

valid

Compiler

Compiled 44 to 28 computations (36.4% saved)

simplify113.0ms (1.9%)

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

prune3.0ms (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)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series39.0ms (0.7%)

Counts

1 → 36

Calls

1 calls:

38.0ms

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

rewrite151.0ms (2.6%)

Algorithm

2×	batch-egg-rewrite

Rules

952×	`prod-diff_binary64`
728×	`fma-udef_binary64`
226×	`fma-neg_binary64`
166×	`expm1-udef_binary64`
166×	`log1p-udef_binary64`

Counts

1 → 68

Calls

1 calls:

147.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	167	10
2	2530	10
3	4730	10
4	4517	10
5	5108	10
0	0	0
1	0	0

simplify106.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

721×	`sub-neg_binary64`
402×	`associate--l+_binary64`
332×	`associate--r+_binary64`
330×	`fma-def_binary64`
301×	`associate-+l+_binary64`

Counts

104 → 99

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	78	1093
1	234	1075
2	842	919
3	4059	913
4	4904	898
5	5053	898

prune148.0ms (2.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	4	100

Error

51.5b

Counts

100 → 4

Alt Table

Status	Error	Program
	57.9b	(-.f64 (*.f64 (/.f64 lo hi) (/.f64 (-.f64 x lo) hi)) (/.f64 (-.f64 lo x) hi))
	57.6b	(+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (+.f64 (pow.f64 (/.f64 hi lo) 3) (-.f64 (-.f64 1 (/.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)))
	52.0b	(fma.f64 (/.f64 x hi) (/.f64 lo hi) (/.f64 (-.f64 x lo) hi))

Compiler

Compiled 2432 to 848 computations (65.1% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
✓	0.2b	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
✓	0.3b	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
✓	1.6b	(+.f64 1 (/.f64 hi lo))

series98.0ms (1.7%)

Counts

4 → 90

Calls

4 calls:

41.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
26.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
22.0ms	(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
8.0ms	(+.f64 1 (/.f64 hi lo))

rewrite125.0ms (2.1%)

Algorithm

2×	batch-egg-rewrite

Rules

732×	`prod-diff_binary64`
219×	`log1p-udef_binary64`
151×	`egg-rr`
121×	`add-sqr-sqrt_binary64`
115×	`log1p-expm1-u_binary64`

Counts

4 → 151

Calls

4 calls:

118.0ms	(+.f64 1 (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)))
118.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
118.0ms	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))
118.0ms	(+.f64 1 (/.f64 hi lo))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	49
1	242	47
2	3375	47
3	5293	47
0	0	0
1	0	0

simplify137.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

894×	`fma-def_binary64`
574×	`associate-/l*_binary64`
362×	`associate-/r*_binary64`
346×	`unswap-sqr_binary64`
331×	`associate-/l/_binary64`

Counts

241 → 164

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	19	1197
1	39	1197
2	75	1008
3	166	924
4	659	924
5	3131	924
6	4154	882
7	4684	882
8	5079	882

prune311.0ms (5.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	188	11	199
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	189	14	203

Error

51.2b

Counts

203 → 14

Alt Table

Status	Error	Program
	51.9b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) 3) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	57.9b	(-.f64 (*.f64 (/.f64 lo hi) (/.f64 (-.f64 x lo) hi)) (/.f64 (-.f64 lo x) hi))
	51.9b	(-.f64 (/.f64 (+.f64 1 (pow.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))) 3)) (+.f64 (pow.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))) 2) (-.f64 1 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)))))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	52.0b	(fma.f64 (/.f64 x hi) (/.f64 lo hi) (/.f64 (-.f64 x lo) hi))
	51.9b	(-.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1))) 1) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
▶	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)) (/.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)))
	57.6b	(+.f64 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo)) (+.f64 (pow.f64 (/.f64 hi lo) 3) (-.f64 (-.f64 1 (/.f64 x lo)) (.f64 (/.f64 x lo) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))))))
	51.9b	(-.f64 (+.f64 1 (.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2) (cbrt.f64 (/.f64 hi lo)) 1) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (+.f64 1 (.f64 (fma.f64 hi (/.f64 1 lo) 1) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)))) (-.f64 1 (pow.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))) 2)))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) 2)) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (log.f64 (+.f64 1 (expm1.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (pow.f64 (sqrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) 2) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))

Compiler

Compiled 6245 to 3095 computations (50.4% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo))
✓	0.3b	(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)) (/.f64 hi lo))
✓	0.6b	(pow.f64 (+.f64 1 (/.f64 hi lo)) 2)
	1.6b	(+.f64 1 (/.f64 hi lo))

series40.0ms (0.7%)

Counts

2 → 48

Calls

2 calls:

25.0ms	(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)) (/.f64 hi lo))
15.0ms	(pow.f64 (+.f64 1 (/.f64 hi lo)) 2)

rewrite97.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

922×	`log1p-expm1-u_binary64`
922×	`expm1-log1p-u_binary64`
301×	`prod-diff_binary64`
91×	`add-sqr-sqrt_binary64`
87×	`add-log-exp_binary64`

Counts

2 → 70

Calls

2 calls:

95.0ms	(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)) (/.f64 hi lo))
94.0ms	(pow.f64 (+.f64 1 (/.f64 hi lo)) 2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	194	23
2	2332	23
3	6238	23
0	0	0
1	0	0

simplify131.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

661×	`times-frac_binary64`
650×	`unswap-sqr_binary64`
357×	`distribute-rgt-out_binary64`
329×	`associate-/l*_binary64`
282×	`distribute-lft-in_binary64`

Counts

118 → 82

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	684
1	32	678
2	54	564
3	124	540
4	424	540
5	2481	540
6	4464	540
7	4784	540
8	4955	540
9	4998	540
10	4950	540

prune297.0ms (5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	189	12	201
Fresh	8	5	13
Picked	1	0	1
Done	0	0	0
Total	198	17	215

Error

51.0b

Counts

215 → 17

Alt Table

Status	Error	Program
	51.9b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) 3) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	57.9b	(-.f64 (*.f64 (/.f64 lo hi) (/.f64 (-.f64 x lo) hi)) (/.f64 (-.f64 lo x) hi))
	57.3b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (/.f64 hi lo) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) 2) (cbrt.f64 (+.f64 1 (/.f64 hi lo)))) 2)) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2))) 1)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) 3) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (+.f64 1 (/.f64 hi lo)) (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	52.0b	(fma.f64 (/.f64 x hi) (/.f64 lo hi) (/.f64 (-.f64 x lo) hi))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 hi lo))))) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 2 (/.f64 hi lo)) 1)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) 2)) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
▶	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (fma.f64 hi (/.f64 1 lo) 1) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (log.f64 (exp.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)))) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)) (/.f64 hi lo))) (.f64 (/.f64 hi lo) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 1 (/.f64 hi lo))) (/.f64 (pow.f64 (/.f64 hi lo) 2) (-.f64 1 (/.f64 hi lo)))) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)))) (-.f64 1 (pow.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))) 2)))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2) (cbrt.f64 (/.f64 hi lo)) 1) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))

Compiler

Compiled 6933 to 3701 computations (46.6% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (sqrt.f64 (pow.f64 (fma.f64 hi (/.f64 1 lo) 1) 2)) (/.f64 hi lo))
✓	0.6b	(pow.f64 (fma.f64 hi (/.f64 1 lo) 1) 2)
	1.6b	(+.f64 1 (/.f64 hi lo))
✓	3.1b	(fma.f64 hi (/.f64 1 lo) 1)

series75.0ms (1.3%)

Counts

3 → 72

Calls

3 calls:

50.0ms	(*.f64 (sqrt.f64 (pow.f64 (fma.f64 hi (/.f64 1 lo) 1) 2)) (/.f64 hi lo))
12.0ms	(pow.f64 (fma.f64 hi (/.f64 1 lo) 1) 2)
12.0ms	(fma.f64 hi (/.f64 1 lo) 1)

rewrite98.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

865×	`log1p-expm1-u_binary64`
865×	`expm1-log1p-u_binary64`
97×	`add-sqr-sqrt_binary64`
91×	`add-log-exp_binary64`
90×	`add-cbrt-cube_binary64`

Counts

3 → 72

Calls

3 calls:

96.0ms	(*.f64 (sqrt.f64 (pow.f64 (fma.f64 hi (/.f64 1 lo) 1) 2)) (/.f64 hi lo))
96.0ms	(pow.f64 (fma.f64 hi (/.f64 1 lo) 1) 2)
96.0ms	(fma.f64 hi (/.f64 1 lo) 1)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	30
1	208	30
2	2295	30
3	5318	30
0	0	0
1	0	0

simplify144.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

661×	`times-frac_binary64`
650×	`unswap-sqr_binary64`
357×	`distribute-rgt-out_binary64`
329×	`associate-/l*_binary64`
282×	`distribute-lft-in_binary64`

Counts

144 → 84

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	825
1	34	819
2	56	705
3	125	681
4	424	681
5	2481	681
6	4464	681
7	4784	681
8	4955	681
9	4998	681
10	4950	681

prune162.0ms (2.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	118	1	119
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	118	18	136

Error

51.0b

Counts

136 → 18

Alt Table

Status	Error	Program
	51.9b	(-.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) 3) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	57.9b	(-.f64 (*.f64 (/.f64 lo hi) (/.f64 (-.f64 x lo) hi)) (/.f64 (-.f64 lo x) hi))
	57.3b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (/.f64 hi lo) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (-.f64 (/.f64 1 (-.f64 1 (/.f64 hi lo))) (/.f64 (pow.f64 (/.f64 hi lo) 2) (-.f64 1 (/.f64 hi lo)))) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (+.f64 (pow.f64 (/.f64 hi lo) 2) (/.f64 hi lo)) (+.f64 1 (/.f64 hi lo)))) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) 2) (cbrt.f64 (+.f64 1 (/.f64 hi lo)))) 2)) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2))) 1)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 hi lo))) 3) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (+.f64 (+.f64 1 (/.f64 hi lo)) (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))))) (/.f64 hi lo))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	52.0b	(fma.f64 (/.f64 x hi) (/.f64 lo hi) (/.f64 (-.f64 x lo) hi))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (/.f64 hi lo))))) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 2 (/.f64 hi lo)) 1)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.9b	(-.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)) 1)) 2)) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
✓	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (fma.f64 hi (/.f64 1 lo) 1) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (log.f64 (exp.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)))) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (+.f64 1 (/.f64 hi lo)) 2)) (/.f64 hi lo))) (.f64 (/.f64 hi lo) (/.f64 x lo)))
	51.9b	(-.f64 (/.f64 1 (/.f64 (-.f64 1 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo)))) (-.f64 1 (pow.f64 (.f64 (/.f64 hi lo) (+.f64 1 (/.f64 hi lo))) 2)))) (*.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.4b	(-.f64 (+.f64 1 (.f64 (sqrt.f64 (pow.f64 (fma.f64 (pow.f64 (cbrt.f64 (/.f64 hi lo)) 2) (cbrt.f64 (/.f64 hi lo)) 1) 2)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))

Compiler

Compiled 3890 to 2141 computations (45% saved)

regimes1.3s (21.5%)

Accuracy

Total 0.4b remaining (0.9%)

Threshold costs 0.4b (0.9%)

Counts

151 → 1

Compiler

Compiled 16594 to 10188 computations (38.6% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
8×	`*-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	17	48
1	30	48
2	43	48
3	56	48
4	66	48
5	72	48
6	74	48
7	72	48

end597.0ms (10.1%)

Compiler: Compiled 618 to 372 computations (39.8% saved)

Details

analyze4.0ms (0.1%)

sample1.7s (28.3%)

simplify113.0ms (1.9%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series39.0ms (0.7%)

rewrite151.0ms (2.6%)

simplify106.0ms (1.8%)

prune148.0ms (2.5%)

localize19.0ms (0.3%)

series98.0ms (1.7%)

rewrite125.0ms (2.1%)

simplify137.0ms (2.3%)

prune311.0ms (5.3%)

localize22.0ms (0.4%)

series40.0ms (0.7%)

rewrite97.0ms (1.7%)

simplify131.0ms (2.2%)

prune297.0ms (5%)

localize27.0ms (0.5%)

series75.0ms (1.3%)

rewrite98.0ms (1.7%)

simplify144.0ms (2.5%)

prune162.0ms (2.7%)

regimes1.3s (21.5%)

simplify7.0ms (0.1%)

end597.0ms (10.1%)

Profiling