Details

analyze242.0ms (3.7%)

Algorithm

1×

Search

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample52.0ms (0.8%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
9.0ms	256×	pre	128	true

Compiler

Compiled 30 to 20 computations (33.3% saved)

simplify100.0ms (1.5%)

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))

rewrite22.0ms (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:

14.0ms

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

series54.0ms (0.8%)

Counts

1 → 36

Calls

1 calls:

54.0ms

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

simplify171.0ms (2.6%)

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 → 138

Iterations

Useful iterations: 2 (0.0ms)

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

prune87.0ms (1.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	133	5	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	134	5	139

Error

51.3b

Counts

139 → 5

Alt Table

Status	Error	Program
	58.0b	(-.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)))
	57.5b	(+.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)))
	52.0b	(-.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)))))

Compiler

Compiled 1959 to 709 computations (63.8% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))
✓	0.7b	(pow.f64 (/.f64 lo hi) 3)
✓	1.6b	(-.f64 -1 (/.f64 lo hi))
✓	1.6b	(+.f64 (/.f64 lo hi) 1)

rewrite79.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

86×	`add-sqr-sqrt_binary64`
82×	`*-un-lft-identity_binary64`
76×	`add-cube-cbrt_binary64`
74×	`times-frac_binary64`
39×	`prod-diff_binary64`

Counts

4 → 185

Calls

4 calls:

22.0ms	(*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))
14.0ms	(-.f64 -1 (/.f64 lo hi))
13.0ms	(+.f64 (/.f64 lo hi) 1)
7.0ms	(pow.f64 (/.f64 lo hi) 3)

series194.0ms (2.9%)

Counts

4 → 96

Calls

4 calls:

86.0ms	(pow.f64 (/.f64 lo hi) 3)
61.0ms	(*.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi))
23.0ms	(+.f64 (/.f64 lo hi) 1)
23.0ms	(-.f64 -1 (/.f64 lo hi))

simplify264.0ms (4%)

Algorithm

1×	egg-herbie

Rules

504×	`fma-neg_binary64`
386×	`distribute-rgt-in_binary64`
353×	`log-prod_binary64`
205×	`log-div_binary64`
179×	`associate-l_binary64`

Counts

281 → 486

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	283	3738
1	742	2999
2	2353	2738
3	4298	2738
4	4844	2738

prune370.0ms (5.6%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	472	14	486
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	474	17	491

Error

51.1b

Counts

491 → 17

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 (neg.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) 1)) (/.f64 (cbrt.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 (fma.f64 1 -1 (neg.f64 (.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi)))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi))) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (.f64 (/.f64 (cbrt.f64 lo) (cbrt.f64 hi)) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (.f64 (cbrt.f64 hi) (cbrt.f64 hi)))))))) (pow.f64 (/.f64 lo hi) 3)))
	58.0b	(-.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 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 (.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (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 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (+.f64 -1 (.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 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))))
▶	51.8b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (/.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 lo hi) (+.f64 (fma.f64 1 -1 (neg.f64 (.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi))) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) (.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi))))))) (pow.f64 (/.f64 lo hi) 3)))
	52.0b	(-.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)))))
	52.0b	(-.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 (neg.f64 (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (*.f64 (cbrt.f64 hi) (cbrt.f64 hi)))) (/.f64 (cbrt.f64 lo) (cbrt.f64 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)) (sqrt.f64 hi)) 3) (pow.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 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))))
	51.9b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (pow.f64 (/.f64 lo hi) 2) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3)))
	58.0b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (neg.f64 (/.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 (fma.f64 1 -1 (neg.f64 (.f64 (/.f64 lo (cbrt.f64 hi)) (/.f64 1 (.f64 (cbrt.f64 hi) (cbrt.f64 hi)))))) (fma.f64 (neg.f64 (/.f64 lo (cbrt.f64 hi))) (/.f64 1 (.f64 (cbrt.f64 hi) (cbrt.f64 hi))) (.f64 (/.f64 lo (cbrt.f64 hi)) (/.f64 1 (*.f64 (cbrt.f64 hi) (cbrt.f64 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 (fma.f64 1 -1 (neg.f64 (.f64 (/.f64 (cbrt.f64 lo) hi) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) 1)))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 lo) hi)) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) 1) (.f64 (/.f64 (cbrt.f64 lo) hi) (/.f64 (*.f64 (cbrt.f64 lo) (cbrt.f64 lo)) 1)))))) (pow.f64 (/.f64 lo hi) 3)))

Compiler

Compiled 11910 to 4387 computations (63.2% saved)

localize23.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(-.f64 (fma.f64 (/.f64 x hi) (/.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)
	1.6b	(-.f64 -1 (/.f64 lo hi))

rewrite140.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

208×	`add-sqr-sqrt_binary64`
189×	`*-un-lft-identity_binary64`
185×	`add-cube-cbrt_binary64`
174×	`prod-diff_binary64`
157×	`times-frac_binary64`

Counts

2 → 299

Calls

2 calls:

30.0ms	(-.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3))
30.0ms	(*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))

series279.0ms (4.2%)

Counts

2 → 60

Calls

2 calls:

205.0ms	(-.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3))
72.0ms	(*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))

simplify728.0ms (11%)

Algorithm

1×	egg-herbie

Rules

596×	`associate-l_binary64`
364×	`fma-neg_binary64`
336×	`associate-*l/_binary64`
329×	`associate-*r/_binary64`
194×	`exp-prod_binary64`

Counts

359 → 700

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	562	19732
1	1411	10305
2	3863	9749
3	4637	9749
4	5048	9749

prune618.0ms (9.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	995	9	1004
Fresh	12	4	16
Picked	1	0	1
Done	0	0	0
Total	1008	13	1021

Error

50.7b

Counts

1021 → 13

Alt Table

Status	Error	Program
	58.0b	(-.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)))))
	51.8b	(+.f64 (/.f64 x hi) (/.f64 (-.f64 (.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (.f64 (pow.f64 (/.f64 lo hi) 3) (pow.f64 (/.f64 lo hi) 3))) (+.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo 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)))
	51.8b	(+.f64 (/.f64 x hi) (+.f64 (fma.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (/.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)))))
	52.0b	(-.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)))))
	51.8b	(+.f64 (/.f64 x hi) (/.f64 (-.f64 (.f64 (.f64 (/.f64 lo hi) (+.f64 (/.f64 x hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (/.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)))))))
	51.8b	(+.f64 (/.f64 x hi) (+.f64 (fma.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (/.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)))))
	58.0b	(+.f64 (/.f64 x hi) (-.f64 (neg.f64 (pow.f64 (/.f64 lo hi) 3)) (pow.f64 (cbrt.f64 (/.f64 lo hi)) 6)))
▶	51.5b	(+.f64 (/.f64 x hi) (neg.f64 (pow.f64 (/.f64 lo hi) 3)))
	51.8b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (+.f64 (neg.f64 (/.f64 lo hi)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 6)))) (pow.f64 (/.f64 lo hi) 3)))
	51.8b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (+.f64 (fma.f64 1 -1 (neg.f64 (.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi))) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) (.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi))))))) (pow.f64 (/.f64 lo hi) 3)))
	58.0b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (neg.f64 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3)))
	52.0b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (/.f64 (.f64 lo (-.f64 (.f64 -1 -1) (.f64 (/.f64 lo hi) (/.f64 lo hi)))) (.f64 hi (+.f64 -1 (/.f64 lo hi))))) (pow.f64 (/.f64 lo hi) 3)))

Compiler

Compiled 22632 to 7703 computations (66% saved)

localize14.0ms (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)

rewrite78.0ms (1.2%)

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:

74.0ms

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

series151.0ms (2.3%)

Counts

1 → 36

Calls

1 calls:

151.0ms

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

simplify143.0ms (2.2%)

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 → 114

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

prune143.0ms (2.2%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	365	9	374
Fresh	1	11	12
Picked	1	0	1
Done	0	0	0
Total	367	20	387

Error

50.7b

Counts

387 → 20

Alt Table

Status	Error	Program
	58.0b	(-.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)))))
	51.8b	(+.f64 (/.f64 x hi) (/.f64 (-.f64 (.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (.f64 (pow.f64 (/.f64 lo hi) 3) (pow.f64 (/.f64 lo hi) 3))) (+.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (*.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3))))
	51.5b	(*.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)))
	51.8b	(+.f64 (/.f64 x hi) (+.f64 (fma.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (/.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)))))
	51.5b	(+.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))))
	51.5b	(log.f64 (*.f64 (exp.f64 (/.f64 x hi)) (/.f64 1 (exp.f64 (pow.f64 (/.f64 lo hi) 3)))))
	51.5b	(+.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))))
	51.8b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (+.f64 (fma.f64 1 -1 (neg.f64 (.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi))))) (fma.f64 (neg.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi))) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi)) (.f64 (/.f64 (cbrt.f64 lo) (sqrt.f64 hi)) (/.f64 (.f64 (cbrt.f64 lo) (cbrt.f64 lo)) (sqrt.f64 hi))))))) (pow.f64 (/.f64 lo hi) 3)))
	52.0b	(-.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)))))
	51.8b	(+.f64 (/.f64 x hi) (/.f64 (-.f64 (.f64 (.f64 (/.f64 lo hi) (+.f64 (/.f64 x hi) (-.f64 -1 (/.f64 lo hi)))) (.f64 (/.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)))))))
	51.5b	(pow.f64 (neg.f64 (/.f64 lo hi)) 3)
	51.8b	(+.f64 (/.f64 x hi) (+.f64 (fma.f64 (.f64 (cbrt.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (.f64 (/.f64 lo hi) (-.f64 -1 (/.f64 lo hi)))))) (cbrt.f64 (fma.f64 (/.f64 x hi) (/.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)))))
	58.0b	(+.f64 (/.f64 x hi) (-.f64 (neg.f64 (pow.f64 (/.f64 lo hi) 3)) (pow.f64 (cbrt.f64 (/.f64 lo hi)) 6)))
	51.5b	(cbrt.f64 (pow.f64 (-.f64 (/.f64 x hi) (pow.f64 (/.f64 lo hi) 3)) 3))
	51.5b	(+.f64 (/.f64 x hi) (neg.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)) (cbrt.f64 (pow.f64 (/.f64 lo hi) 3))) (cbrt.f64 (pow.f64 (/.f64 lo hi) 3)))))
	51.5b	(+.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))))
	51.8b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (/.f64 lo hi) (+.f64 (neg.f64 (/.f64 lo hi)) (neg.f64 (pow.f64 (cbrt.f64 (/.f64 lo hi)) 6)))) (pow.f64 (/.f64 lo hi) 3)))
	58.0b	(+.f64 (/.f64 x hi) (-.f64 (fma.f64 (/.f64 x hi) (.f64 (+.f64 (/.f64 lo hi) 1) (/.f64 lo hi)) (.f64 (/.f64 lo hi) (neg.f64 (/.f64 lo hi)))) (pow.f64 (/.f64 lo hi) 3)))
	51.5b	(/.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)))))

Compiler

Compiled 2328 to 1082 computations (53.5% saved)

regimes1.2s (17.4%)

Accuracy

Total 0.9b remaining (1.8%)

Threshold costs 0.9b (1.8%)

Compiler

Compiled 19566 to 9340 computations (52.3% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	13	9
2	17	9
3	20	9
4	21	9
5	21	9

end1.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

sample1.5s (22.2%)

Algorithm

1×

intervals

Results

411.0ms	8000×	body	128	valid
255.0ms	8000×	pre	128	true

Compiler

Compiled 869 to 413 computations (52.5% saved)

Details

analyze242.0ms (3.7%)

sample52.0ms (0.8%)

simplify100.0ms (1.5%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite22.0ms (0.3%)

series54.0ms (0.8%)

simplify171.0ms (2.6%)

prune87.0ms (1.3%)

localize28.0ms (0.4%)

rewrite79.0ms (1.2%)

series194.0ms (2.9%)

simplify264.0ms (4%)

prune370.0ms (5.6%)

localize23.0ms (0.3%)

rewrite140.0ms (2.1%)

series279.0ms (4.2%)

simplify728.0ms (11%)

prune618.0ms (9.3%)

localize14.0ms (0.2%)

rewrite78.0ms (1.2%)

series151.0ms (2.3%)

simplify143.0ms (2.2%)

prune143.0ms (2.2%)

regimes1.2s (17.4%)

simplify8.0ms (0.1%)

end1.0ms (0%)

sample1.5s (22.2%)

Profiling