Details

analyze340.0ms (10.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
32.8%	67.1%	0.1%	9
43.7%	43.7%	12.6%	10
46.8%	40.6%	12.6%	11
52.7%	34.7%	12.6%	12
58.5%	22.6%	18.9%	13
60.5%	20.7%	18.9%	14

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample42.0ms (1.2%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
1.0ms	19×	body	128	invalid

Compiler

Compiled 24 to 16 computations (33.3% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`
1×	`associate-r_binary64`
1×	`associate-l_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	12	8
2	16	8
3	17	8
4	17	8

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 z (*.f64 y z) x)

Compiler

Compiled 34 to 17 computations (50% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 z (*.f64 y z) x)

series11.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

11.0ms

(fma.f64 z (*.f64 y z) x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 z (*.f64 y z) x)

simplify220.0ms (6.6%)

Algorithm

1×	egg-herbie

Rules

557×	`fma-def_binary64`
534×	`unswap-sqr_binary64`
444×	`*-commutative_binary64`
374×	`distribute-rgt-in_binary64`
370×	`distribute-lft-in_binary64`

Counts

46 → 23

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	382
1	32	365
2	56	365
3	152	365
4	615	365
5	2186	365
6	2764	365
7	4969	365
8	5049	365

prune12.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Error

0.0b

Counts

24 → 3

Alt Table

Status	Error	Program
▶	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))
	6.8b	(fma.f64 y (*.f64 z z) x)
✓	0.1b	(fma.f64 z (*.f64 y z) x)

Compiler

Compiled 306 to 85 computations (72.2% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 z (*.f64 y z) x)
✓	0.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))
✓	0.4b	(.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))
✓	0.5b	(cbrt.f64 (fma.f64 z (*.f64 y z) x))

series186.0ms (5.5%)

Counts

3 → 108

Calls

3 calls:

114.0ms

(*.f64 (cbrt.f64 (fma.f64 z (*.f64 y z) x)) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))

60.0ms

(cbrt.f64 (fma.f64 z (*.f64 y z) x))

11.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (*.f64 y z) x)) (cbrt.f64 (fma.f64 z (*.f64 y z) x))) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))

rewrite19.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

6.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 z (*.f64 y z) x)) (cbrt.f64 (fma.f64 z (*.f64 y z) x))) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))

4.0ms

(*.f64 (cbrt.f64 (fma.f64 z (*.f64 y z) x)) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))

1.0ms

(cbrt.f64 (fma.f64 z (*.f64 y z) x))

simplify143.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

418×	`cancel-sign-sub-inv_binary64`
325×	`associate-r_binary64`
317×	`unswap-sqr_binary64`
245×	`times-frac_binary64`
239×	`associate-l_binary64`

Counts

201 → 234

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	6351
1	1102	5908
2	3621	5539
3	4984	5539

prune257.0ms (7.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	448	5	453
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	448	8	456

Error

0.0b

Counts

456 → 8

Alt Table

Status	Error	Program
✓	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))
	31.5b	(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 z z) x)) 6)) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))
	33.9b	(.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x))))) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))
▶	1.5b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (*.f64 y z) x))))
	6.8b	(fma.f64 y (*.f64 z z) x)
	8.7b	(.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) x))) 6))
✓	0.1b	(fma.f64 z (*.f64 y z) x)
	8.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (.f64 z z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) x)))))

Compiler

Compiled 18474 to 6983 computations (62.2% saved)

localize16.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))
	0.5b	(cbrt.f64 (fma.f64 z (*.f64 y z) x))
✓	0.6b	(cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (*.f64 y z) x))))
✓	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 z (*.f64 y z) x)))

series122.0ms (3.6%)

Counts

2 → 72

Calls

2 calls:

66.0ms	(cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (*.f64 y z) x))))
55.0ms	(cbrt.f64 (cbrt.f64 (fma.f64 z (*.f64 y z) x)))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 27

Calls

2 calls:

2.0ms	(cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (*.f64 y z) x))))
1.0ms	(cbrt.f64 (cbrt.f64 (fma.f64 z (*.f64 y z) x)))

simplify180.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

469×	`cancel-sign-sub-inv_binary64`
301×	`unswap-sqr_binary64`
282×	`associate-r_binary64`
248×	`associate-/r*_binary64`
245×	`times-frac_binary64`

Counts

99 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	361	4995
1	1095	4745
2	3540	4610
3	4970	4590
4	4935	4590

prune526.0ms (15.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	718	0	718
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	718	8	726

Error

0.0b

Counts

726 → 8

Alt Table

Status	Error	Program
✓	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))
	31.5b	(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 z z) x)) 6)) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))
	33.9b	(.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x))))) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))
✓	1.5b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (*.f64 y z) x))))
▶	6.8b	(fma.f64 y (*.f64 z z) x)
	8.7b	(.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) x))) 6))
✓	0.1b	(fma.f64 z (*.f64 y z) x)
	8.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (.f64 z z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) x)))))

Compiler

Compiled 46035 to 15632 computations (66% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.3b	(fma.f64 y (*.f64 z z) x)

series11.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

10.0ms

(fma.f64 y (*.f64 z z) x)

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma.f64 y (*.f64 z z) x)

simplify55.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary64`
534×	`unswap-sqr_binary64`
466×	`*-commutative_binary64`
381×	`distribute-rgt-out_binary64`
378×	`distribute-rgt-in_binary64`

Counts

46 → 16

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	382
1	28	365
2	60	365
3	160	365
4	627	365
5	2383	365
6	2894	365
7	4999	365

prune11.0ms (0.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	16	0	16
Fresh	0	4	4
Picked	0	1	1
Done	0	3	3
Total	16	8	24

Error

0.0b

Counts

24 → 8

Alt Table

Status	Error	Program
✓	1.4b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))
	31.5b	(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 y (.f64 z z) x)) 6)) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))
	33.9b	(.f64 (.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x))) (sqrt.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x))))) (cbrt.f64 (fma.f64 z (*.f64 y z) x)))
✓	1.5b	(.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 z (*.f64 y z) x))))
✓	6.8b	(fma.f64 y (*.f64 z z) x)
	8.7b	(.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) x))) 6))
✓	0.1b	(fma.f64 z (*.f64 y z) x)
	8.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 z (.f64 y z) x)) (cbrt.f64 (fma.f64 z (.f64 y z) x))) (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y (.f64 z z) x))) 6)) (cbrt.f64 (cbrt.f64 (fma.f64 y (*.f64 z z) x)))))

Compiler

Compiled 365 to 118 computations (67.7% saved)

regimes294.0ms (8.8%)

Accuracy

Total 0.1b remaining (66%)

Threshold costs 0.1b (66%)

Counts

51 → 1

Compiler

Compiled 7380 to 2894 computations (60.8% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	7	8
2	7	8

end0.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

sample877.0ms (26.2%)

Algorithm

1×

intervals

Results

367.0ms	8000×	body	128	valid
17.0ms	632×	body	128	invalid

Compiler

Compiled 238 to 96 computations (59.7% saved)

Details

analyze340.0ms (10.1%)

sample42.0ms (1.2%)

simplify6.0ms (0.2%)

prune3.0ms (0.1%)

localize4.0ms (0.1%)

series11.0ms (0.3%)

rewrite1.0ms (0%)

simplify220.0ms (6.6%)

prune12.0ms (0.4%)

localize7.0ms (0.2%)

series186.0ms (5.5%)

rewrite19.0ms (0.6%)

simplify143.0ms (4.3%)

prune257.0ms (7.7%)

localize16.0ms (0.5%)

series122.0ms (3.6%)

rewrite4.0ms (0.1%)

simplify180.0ms (5.4%)

prune526.0ms (15.7%)

localize4.0ms (0.1%)

series11.0ms (0.3%)

rewrite1.0ms (0%)

simplify55.0ms (1.6%)

prune11.0ms (0.3%)

regimes294.0ms (8.8%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample877.0ms (26.2%)

Profiling