Details

analyze27.0ms (1.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.8%	0.1%	0.1%	12
99.8%	0%	0.1%	13
99.8%	0%	0.2%	14

Compiler

Compiled 11 to 10 computations (9.1% saved)

sample15.0ms (0.7%)

Algorithm

1×

intervals

Results

8.0ms	255×	body	128	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 22 to 20 computations (9.1% saved)

simplify16.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2×	`fma-def_binary64`
1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	15	5
2	16	5
3	14	5

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 841/108 x 4/29)

Compiler

Compiled 24 to 20 computations (16.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 841/108 x 4/29)

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 841/108 x 4/29)

series6.0ms (0.3%)

Counts

1 → 12

Calls

1 calls:

6.0ms

(fma.f64 841/108 x 4/29)

simplify124.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

639×	`associate-*r/_binary64`
493×	`distribute-rgt-in_binary64`
446×	`distribute-lft-out_binary64`
406×	`distribute-rgt-out_binary64`
402×	`associate-l_binary64`

Counts

22 → 32

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	142
1	19	131
2	42	131
3	104	131
4	284	131
5	900	131
6	1555	131
7	2510	131
8	2614	131
9	3104	131
10	4503	131
11	4867	131
12	4989	131
13	4799	131

prune10.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	3	33

Error

0.1b

Counts

33 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 841/108 x 4/29)
	16.9b	(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
▶	1.8b	(.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (fma.f64 841/108 x 4/29)))

Compiler

Compiled 170 to 140 computations (17.6% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(cbrt.f64 (fma.f64 841/108 x 4/29))
	0.8b	(cbrt.f64 (fma.f64 841/108 x 4/29))
✓	0.8b	(cbrt.f64 (fma.f64 841/108 x 4/29))
✓	0.8b	(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29)))

rewrite46.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`cbrt-prod_binary64`
19×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
9×	`pow1_binary64`

Counts

2 → 55

Calls

2 calls:

4.0ms	(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
1.0ms	(cbrt.f64 (fma.f64 841/108 x 4/29))

series12.0ms (0.6%)

Counts

2 → 24

Calls

2 calls:

7.0ms	(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
6.0ms	(cbrt.f64 (fma.f64 841/108 x 4/29))

simplify86.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

508×	`fma-neg_binary64`
407×	`fma-def_binary64`
376×	`associate-l_binary64`
326×	`associate-r_binary64`
303×	`unswap-sqr_binary64`

Counts

79 → 151

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	2014
1	382	1860
2	1054	1538
3	3581	1357
4	4952	1357

prune232.0ms (11.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	286	6	292
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	287	8	295

Error

0.0b

Counts

295 → 8

Alt Table

Status	Error	Program
	2.3b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
✓	0.1b	(fma.f64 841/108 x 4/29)
	16.9b	(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
▶	1.6b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 4) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
	18.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) (sqrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)))))
	33.7b	(.f64 (.f64 (cbrt.f64 (/.f64 -841/108 (/.f64 -1 x))) (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
	1.7b	(.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (fma.f64 841/108 x 4/29)))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
	1.6b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))))) (cbrt.f64 (fma.f64 841/108 x 4/29)))

Compiler

Compiled 6602 to 5578 computations (15.5% saved)

localize15.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(cbrt.f64 (fma.f64 x 841/108 4/29))
	0.8b	(cbrt.f64 (fma.f64 x 841/108 4/29))
✓	0.8b	(cbrt.f64 (fma.f64 x 841/108 4/29))
✓	1.0b	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 4)

rewrite5.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
9×	`unpow-prod-down_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`

Counts

2 → 39

Calls

2 calls:

2.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 4)
1.0ms	(cbrt.f64 (fma.f64 x 841/108 4/29))

series22.0ms (1.1%)

Counts

2 → 24

Calls

2 calls:

16.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 4)
6.0ms	(cbrt.f64 (fma.f64 x 841/108 4/29))

simplify84.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

546×	`fma-neg_binary64`
434×	`unswap-sqr_binary64`
385×	`fma-def_binary64`
296×	`associate-r_binary64`
291×	`associate-l_binary64`

Counts

63 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	163	1675
1	400	1580
2	1062	1388
3	3679	1144
4	5379	1144

prune189.0ms (9.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	228	2	230
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	229	9	238

Error

0.0b

Counts

238 → 9

Alt Table

Status	Error	Program
	2.3b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
✓	0.1b	(fma.f64 841/108 x 4/29)
	2.4b	(.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) (cbrt.f64 (fma.f64 x 841/108 4/29))))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)))) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
	18.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) (sqrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)))))
	16.9b	(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
✓	1.6b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 4) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
	33.7b	(.f64 (.f64 (cbrt.f64 (/.f64 -841/108 (/.f64 -1 x))) (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
	1.7b	(.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (fma.f64 841/108 x 4/29)))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
▶	1.6b	(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 2) (sqrt.f64 4)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))))) (cbrt.f64 (fma.f64 841/108 x 4/29)))

Compiler

Compiled 7309 to 6302 computations (13.8% saved)

localize15.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(cbrt.f64 (fma.f64 841/108 x 4/29))
	0.8b	(cbrt.f64 (fma.f64 x 841/108 4/29))
	0.8b	(cbrt.f64 (fma.f64 x 841/108 4/29))
	0.8b	(cbrt.f64 (fma.f64 x 841/108 4/29))

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify20.0ms (1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune202.0ms (10%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	1336	0	1336
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	1336	9	1345

Error

0.0b

Counts

1345 → 9

Alt Table

Status	Error	Program
	2.3b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29)))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
✓	0.1b	(fma.f64 841/108 x 4/29)
	2.4b	(.f64 (.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)) (cbrt.f64 (fma.f64 x 841/108 4/29))))) 4) (pow.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)))) 4)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
	18.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) (sqrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)))))
	16.9b	(*.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)) (sqrt.f64 (fma.f64 841/108 x 4/29)))
✓	1.6b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 4) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
	33.7b	(.f64 (.f64 (cbrt.f64 (/.f64 -841/108 (/.f64 -1 x))) (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
	1.7b	(.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (fma.f64 841/108 x 4/29)))) (cbrt.f64 (fma.f64 841/108 x 4/29)))
✓	1.6b	(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 2) (sqrt.f64 4)) (*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))))) (cbrt.f64 (fma.f64 841/108 x 4/29)))

Compiler

Compiled 7256 to 6321 computations (12.9% saved)

regimes222.0ms (11%)

Accuracy

Total 0.0b remaining (45.8%)

Threshold costs 0.0b (45.8%)

Compiler

Compiled 3863 to 3302 computations (14.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	5	5

end0.0ms (0%)

Compiler: Compiled 5 to 4 computations (20% saved)

sample651.0ms (32.3%)

Algorithm

1×

intervals

Results

298.0ms	7997×	body	128	valid
0.0ms	2×	body	512	valid
0.0ms	3×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 264 to 226 computations (14.4% saved)

Details

analyze27.0ms (1.3%)

sample15.0ms (0.7%)

simplify16.0ms (0.8%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

rewrite1.0ms (0%)

series6.0ms (0.3%)

simplify124.0ms (6.2%)

prune10.0ms (0.5%)

localize6.0ms (0.3%)

rewrite46.0ms (2.3%)

series12.0ms (0.6%)

simplify86.0ms (4.3%)

prune232.0ms (11.5%)

localize15.0ms (0.8%)

rewrite5.0ms (0.2%)

series22.0ms (1.1%)

simplify84.0ms (4.2%)

prune189.0ms (9.4%)

localize15.0ms (0.8%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify20.0ms (1%)

prune202.0ms (10%)

regimes222.0ms (11%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample651.0ms (32.3%)

Profiling