Details

analyze202.0ms (5.3%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample23.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
5.0ms	256×	pre	128	true

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify85.0ms (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))

series21.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

21.0ms

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

rewrite10.0ms (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))

simplify81.0ms (2.1%)

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

prune40.0ms (1.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	81	4	85

Error

51.3b

Counts

85 → 4

Alt Table

Status	Error	Program
	57.6b	(+.f64 (/.f64 x hi) (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 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)))
	57.8b	(-.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)))))
	52.0b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))

Compiler

Compiled 1895 to 677 computations (64.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))
✓	0.7b	(pow.f64 (/.f64 lo hi) 3)
✓	1.5b	(+.f64 (/.f64 lo hi) 1)
✓	1.5b	(-.f64 -1 (/.f64 lo hi))

series44.0ms (1.2%)

Counts

4 → 96

Calls

4 calls:

18.0ms	(*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))
16.0ms	(pow.f64 (/.f64 lo hi) 3)
6.0ms	(-.f64 -1 (/.f64 lo hi))
4.0ms	(+.f64 (/.f64 lo hi) 1)

rewrite58.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`add-sqr-sqrt_binary64`
164×	`*-un-lft-identity_binary64`
158×	`add-cube-cbrt_binary64`
147×	`times-frac_binary64`
117×	`prod-diff_binary64`

Counts

4 → 293

Calls

4 calls:

13.0ms	(*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))
6.0ms	(-.f64 -1 (/.f64 lo hi))
5.0ms	(+.f64 (/.f64 lo hi) 1)
3.0ms	(pow.f64 (/.f64 lo hi) 3)

simplify252.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

621×	`fma-neg_binary64`
480×	`associate-l_binary64`
444×	`associate-r_binary64`
380×	`log-prod_binary64`
293×	`*-commutative_binary64`

Counts

389 → 340

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	410	7239
1	1125	5197
2	3283	4476
3	4278	4476
4	4846	4476

prune236.0ms (6.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	331	9	340
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	333	11	344

Error

50.7b

Counts

344 → 11

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)))) (.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3) (pow.f64 (cbrt.f64 (/.f64 lo hi)) 3))))
▶	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (+.f64 (.f64 -1 (/.f64 lo hi)) (.f64 (.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi)))) (cbrt.f64 (/.f64 lo hi))) (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3)))
	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 (.f64 (cbrt.f64 (-.f64 -1 (/.f64 lo hi))) (cbrt.f64 (-.f64 -1 (/.f64 lo hi)))) (cbrt.f64 (-.f64 -1 (/.f64 lo hi)))))) (pow.f64 (/.f64 lo hi) 3)))
	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)))) (.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	57.8b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (neg.f64 (pow.f64 (/.f64 lo hi) 2))) (pow.f64 (/.f64 lo hi) 3)))
	52.3b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (/.f64 (.f64 lo (-.f64 1 (pow.f64 (/.f64 lo hi) 2))) (*.f64 hi (+.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (.f64 (cbrt.f64 (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (cbrt.f64 (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 lo (*.f64 (/.f64 1 hi) (-.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 3)))
	57.8b	(-.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)))))
	52.0b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))

Compiler

Compiled 17923 to 6140 computations (65.7% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3))
	0.3b	(*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))
	0.7b	(pow.f64 (/.f64 lo hi) 3)
	1.5b	(-.f64 -1 (/.f64 lo hi))

series65.0ms (1.7%)

Counts

1 → 36

Calls

1 calls:

65.0ms

(-.f64 (fma.f64 (/.f64 x hi) (*.f64 1 (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3))

rewrite45.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

107×	`add-sqr-sqrt_binary64`
96×	`*-un-lft-identity_binary64`
96×	`prod-diff_binary64`
94×	`add-cube-cbrt_binary64`
74×	`times-frac_binary64`

Counts

1 → 152

Calls

1 calls:

14.0ms

(-.f64 (fma.f64 (/.f64 x hi) (*.f64 1 (/.f64 lo hi)) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3))

simplify184.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

914×	`fma-neg_binary64`
559×	`exp-prod_binary64`
254×	`associate-r_binary64`
207×	`distribute-neg-frac_binary64`
178×	`associate-l_binary64`

Counts

188 → 130

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	271	7802
1	624	5745
2	2581	4872
3	4385	4868
4	4791	4868

prune329.0ms (8.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	422	10	432
Fresh	7	3	10
Picked	1	0	1
Done	0	0	0
Total	430	13	443

Error

50.7b

Counts

443 → 13

Alt Table

Status	Error	Program
	51.9b	(+.f64 (/.f64 x hi) (/.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 6) (.f64 (+.f64 (/.f64 x hi) (-.f64 -1 (/.f64 lo hi))) (+.f64 (/.f64 x hi) (-.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 6)) (+.f64 (pow.f64 (/.f64 lo hi) 3) (*.f64 (/.f64 lo hi) (+.f64 (/.f64 x hi) (-.f64 -1 (/.f64 lo hi)))))))
▶	51.6b	(+.f64 (/.f64 x hi) (neg.f64 (pow.f64 (/.f64 lo hi) 3)))
	57.8b	(-.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)))))
	57.8b	(+.f64 (/.f64 x hi) (-.f64 (neg.f64 (pow.f64 (/.f64 lo hi) 3)) (pow.f64 (cbrt.f64 (/.f64 lo hi)) 6)))
	57.8b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 1 (/.f64 lo hi)) (neg.f64 (pow.f64 (/.f64 lo hi) 2))) (pow.f64 (/.f64 lo hi) 3)))
	52.3b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (/.f64 (.f64 lo (-.f64 1 (pow.f64 (/.f64 lo hi) 2))) (*.f64 hi (+.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 3)))
	52.3b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (/.f64 (.f64 lo (-.f64 1 (pow.f64 (/.f64 lo hi) 2))) (*.f64 hi (+.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(+.f64 (/.f64 x hi) (+.f64 (fma.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3))) (.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (cbrt.f64 (pow.f64 (/.f64 lo hi) 3))) (.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)))))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (+.f64 (.f64 (/.f64 lo hi) -1) (.f64 (/.f64 lo hi) (.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi)))) (cbrt.f64 (/.f64 lo hi)))))) (pow.f64 (/.f64 lo hi) 3)))
	51.9b	(+.f64 (/.f64 x hi) (+.f64 (fma.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (neg.f64 (.f64 (pow.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) 3) (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) 3)))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) 3)) (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) 3) (.f64 (pow.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) 3) (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) 3)))))
	51.9b	(+.f64 (/.f64 x hi) (+.f64 (fma.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (neg.f64 (.f64 (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3) (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3)))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3)) (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3) (.f64 (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3) (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3)))))
	51.9b	(+.f64 (/.f64 x hi) (+.f64 (fma.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (neg.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 3) (pow.f64 (.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 3)) (pow.f64 (.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3) (.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 3) (pow.f64 (.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3)))))
	52.0b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))

Compiler

Compiled 23718 to 8799 computations (62.9% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (/.f64 x hi) (neg.f64 (pow.f64 (/.f64 lo hi) 3)))
	0.7b	(pow.f64 (/.f64 lo hi) 3)

series62.0ms (1.6%)

Counts

1 → 36

Calls

1 calls:

61.0ms

(+.f64 (/.f64 x hi) (neg.f64 (pow.f64 (/.f64 lo hi) 3)))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`fma-def_binary64`
12×	`*-un-lft-identity_binary64`
9×	`times-frac_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`

Counts

1 → 32

Calls

1 calls:

33.0ms

(+.f64 (/.f64 x hi) (neg.f64 (pow.f64 (/.f64 lo hi) 3)))

simplify81.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

674×	`associate-l_binary64`
366×	`associate-*l/_binary64`
355×	`associate-*r/_binary64`
237×	`fma-def_binary64`
209×	`cube-prod_binary64`

Counts

68 → 45

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	49	770
1	145	723
2	607	719
3	3899	719
4	4872	719
5	5068	719

prune74.0ms (1.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	80	10	90
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	82	21	103

Error

50.7b

Counts

103 → 21

Alt Table

Status	Error	Program
	51.6b	(+.f64 (/.f64 x hi) (neg.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3) (pow.f64 (cbrt.f64 (/.f64 lo hi)) 3))))
	51.9b	(+.f64 (/.f64 x hi) (/.f64 (-.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 6) (.f64 (+.f64 (/.f64 x hi) (-.f64 -1 (/.f64 lo hi))) (+.f64 (/.f64 x hi) (-.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 6)) (+.f64 (pow.f64 (/.f64 lo hi) 3) (*.f64 (/.f64 lo hi) (+.f64 (/.f64 x hi) (-.f64 -1 (/.f64 lo hi)))))))
	51.6b	(.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 x hi) (pow.f64 (/.f64 lo hi) 3))) (cbrt.f64 (-.f64 (/.f64 x hi) (pow.f64 (/.f64 lo hi) 3)))) (cbrt.f64 (-.f64 (/.f64 x hi) (pow.f64 (/.f64 lo hi) 3))))
	57.8b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (*.f64 1 (/.f64 lo hi)) (neg.f64 (pow.f64 (/.f64 lo hi) 2))) (pow.f64 (/.f64 lo hi) 3)))
	51.6b	(log.f64 (*.f64 (exp.f64 (/.f64 x hi)) (/.f64 1 (exp.f64 (pow.f64 (/.f64 lo hi) 3)))))
	52.3b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (/.f64 (.f64 lo (-.f64 1 (pow.f64 (/.f64 lo hi) 2))) (*.f64 hi (+.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 3)))
	51.6b	(/.f64 (-.f64 (*.f64 (/.f64 x hi) (/.f64 x hi)) (pow.f64 (/.f64 lo hi) 6)) (+.f64 (pow.f64 (/.f64 lo hi) 3) (/.f64 x hi)))
	51.9b	(+.f64 (/.f64 x hi) (+.f64 (fma.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (neg.f64 (.f64 (pow.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) 3) (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) 3)))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) 3)) (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) 3) (.f64 (pow.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) 3) (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) 3)))))
	51.6b	(pow.f64 (neg.f64 (/.f64 lo hi)) 3)
	51.9b	(+.f64 (/.f64 x hi) (+.f64 (fma.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (neg.f64 (.f64 (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3) (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3)))) (fma.f64 (neg.f64 (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3)) (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3) (.f64 (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3) (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3)))))
	51.6b	(/.f64 (-.f64 (pow.f64 (/.f64 x hi) 3) (pow.f64 (pow.f64 (/.f64 lo hi) 3) 3)) (+.f64 (pow.f64 (/.f64 lo hi) 6) (*.f64 (/.f64 x hi) (+.f64 (pow.f64 (/.f64 lo hi) 3) (/.f64 x hi)))))
	51.9b	(+.f64 (/.f64 x hi) (+.f64 (fma.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (neg.f64 (.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 3) (pow.f64 (.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3)))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 3)) (pow.f64 (.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3) (.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 3) (pow.f64 (.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi))) 3)))))
	57.8b	(-.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)))))
	57.8b	(+.f64 (/.f64 x hi) (-.f64 (neg.f64 (pow.f64 (/.f64 lo hi) 3)) (pow.f64 (cbrt.f64 (/.f64 lo hi)) 6)))
	51.6b	(+.f64 (/.f64 x hi) (neg.f64 (log1p.f64 (expm1.f64 (pow.f64 (/.f64 lo hi) 3)))))
	51.6b	(*.f64 (sqrt.f64 (-.f64 (/.f64 x hi) (pow.f64 (/.f64 lo hi) 3))) (sqrt.f64 (-.f64 (/.f64 x hi) (pow.f64 (/.f64 lo hi) 3))))
	52.0b	(-.f64 (+.f64 1 (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 hi lo))) (.f64 (+.f64 1 (/.f64 hi lo)) (/.f64 x lo)))
	51.6b	(+.f64 (/.f64 x hi) (neg.f64 (.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi))) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) 3))))
	51.6b	(+.f64 (/.f64 x hi) (neg.f64 (.f64 (pow.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) 3))))
	51.9b	(+.f64 (/.f64 x hi) (+.f64 (fma.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (neg.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)))))) (fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3))) (.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (cbrt.f64 (pow.f64 (/.f64 lo hi) 3))) (.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)))))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 1 (/.f64 lo hi)) (+.f64 (.f64 (/.f64 lo hi) -1) (.f64 (/.f64 lo hi) (.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 lo hi)) (cbrt.f64 (/.f64 lo hi)))) (cbrt.f64 (/.f64 lo hi)))))) (pow.f64 (/.f64 lo hi) 3)))

Compiler

Compiled 2497 to 1184 computations (52.6% saved)

regimes684.0ms (18%)

Accuracy

Total 0.9b remaining (1.8%)

Threshold costs 0.9b (1.8%)

Counts

144 → 1

Compiler

Compiled 25026 to 12348 computations (50.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	40
1	28	40
2	36	40
3	41	40
4	43	40
5	43	40

end1.0ms (0%)

Compiler: Compiled 28 to 16 computations (42.9% saved)

sample1.2s (30.4%)

Algorithm

1×

intervals

Results

239.0ms	8000×	body	128	valid
188.0ms	8000×	pre	128	true

Compiler

Compiled 1057 to 524 computations (50.4% saved)

Details

analyze202.0ms (5.3%)

sample23.0ms (0.6%)

simplify85.0ms (2.2%)

prune2.0ms (0%)

localize5.0ms (0.1%)

series21.0ms (0.6%)

rewrite10.0ms (0.3%)

simplify81.0ms (2.1%)

prune40.0ms (1.1%)

localize13.0ms (0.3%)

series44.0ms (1.2%)

rewrite58.0ms (1.5%)

simplify252.0ms (6.6%)

prune236.0ms (6.2%)

localize12.0ms (0.3%)

series65.0ms (1.7%)

rewrite45.0ms (1.2%)

simplify184.0ms (4.8%)

prune329.0ms (8.6%)

localize7.0ms (0.2%)

series62.0ms (1.6%)

rewrite35.0ms (0.9%)

simplify81.0ms (2.1%)

prune74.0ms (1.9%)

regimes684.0ms (18%)

simplify3.0ms (0.1%)

end1.0ms (0%)

sample1.2s (30.4%)

Profiling