Details

analyze36.0ms (0.6%)

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)

sample34.0ms (0.6%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 22 to 20 computations (9.1% saved)

simplify13.0ms (0.2%)

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

prune8.0ms (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)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series3.0ms (0%)

Counts

1 → 12

Calls

1 calls:

3.0ms

(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:

1.0ms

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

simplify131.0ms (2.2%)

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 → 15

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

prune20.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	13	2	15
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	3	16

Error

0.0b

Counts

16 → 3

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 841/108 x 4/29)
	14.9b	(*.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)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 841/108 x 4/29)
✓	0.2b	(.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)))
✓	0.7b	(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
✓	0.8b	(cbrt.f64 (fma.f64 841/108 x 4/29))

series25.0ms (0.4%)

Counts

3 → 36

Calls

3 calls:

11.0ms

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

10.0ms

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

3.0ms

(*.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)))

rewrite35.0ms (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:

13.0ms

(*.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)))

11.0ms

(*.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))

simplify200.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

492×	`times-frac_binary64`
423×	`fma-def_binary64`
413×	`fma-neg_binary64`
239×	`unswap-sqr_binary64`
210×	`*-commutative_binary64`

Counts

129 → 185

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	2495
1	418	2285
2	1171	1923
3	3158	1699
4	4947	1699
5	4970	1699

prune491.0ms (8.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	320	4	324
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	320	7	327

Error

0.0b

Counts

327 → 7

Alt Table

Status	Error	Program
	2.1b	(.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))))) (.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)))
▶	1.5b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 6) (cbrt.f64 (fma.f64 x 841/108 4/29)))
✓	0.1b	(fma.f64 841/108 x 4/29)
	14.9b	(*.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)))
	16.2b	(.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)))))
	49.0b	(.f64 (cbrt.f64 (.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2))) (cbrt.f64 (fma.f64 841/108 x 4/29)))

Compiler

Compiled 8215 to 6929 computations (15.7% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 6) (cbrt.f64 (fma.f64 x 841/108 4/29)))
✓	0.3b	(cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)))
✓	0.6b	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 6)
✓	0.8b	(cbrt.f64 (fma.f64 x 841/108 4/29))

series66.0ms (1.1%)

Counts

4 → 48

Calls

4 calls:

42.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 6)
10.0ms	(cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)))
10.0ms	(cbrt.f64 (fma.f64 x 841/108 4/29))
3.0ms	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 6) (cbrt.f64 (fma.f64 x 841/108 4/29)))

rewrite33.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

44×	`cbrt-prod_binary64`
35×	`add-sqr-sqrt_binary64`
24×	`unpow-prod-down_binary64`
17×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`

Counts

4 → 98

Calls

4 calls:

14.0ms	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 6) (cbrt.f64 (fma.f64 x 841/108 4/29)))
5.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 6)
2.0ms	(cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29)))
1.0ms	(cbrt.f64 (fma.f64 x 841/108 4/29))

simplify279.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

600×	`fma-def_binary64`
341×	`unswap-sqr_binary64`
248×	`times-frac_binary64`
206×	`associate-/l*_binary64`
204×	`log-prod_binary64`

Counts

146 → 210

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	241	3316
1	590	3147
2	1798	2668
3	4663	2668
4	4972	2668

prune443.0ms (7.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	250	0	250
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	250	7	257

Error

0.0b

Counts

257 → 7

Alt Table

Status	Error	Program
▶	2.1b	(.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))))) (.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)))
✓	1.5b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 6) (cbrt.f64 (fma.f64 x 841/108 4/29)))
✓	0.1b	(fma.f64 841/108 x 4/29)
	14.9b	(*.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)))
	16.2b	(.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)))))
	49.0b	(.f64 (cbrt.f64 (.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2))) (cbrt.f64 (fma.f64 841/108 x 4/29)))

Compiler

Compiled 6664 to 5775 computations (13.3% saved)

localize25.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29)))
✓	0.7b	(.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)))))
✓	0.8b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))))
	0.8b	(cbrt.f64 (fma.f64 841/108 x 4/29))

series26.0ms (0.4%)

Counts

2 → 24

Calls

2 calls:

14.0ms

(*.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)))))

11.0ms

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

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-sqr-sqrt_binary64`
9×	`cbrt-prod_binary64`
9×	`pow1_binary64`
7×	`pow1/3_binary64`
6×	`*-un-lft-identity_binary64`

Counts

2 → 47

Calls

2 calls:

9.0ms

(*.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)))))

5.0ms

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

simplify159.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

510×	`fma-neg_binary64`
408×	`associate-l_binary64`
406×	`fma-def_binary64`
345×	`associate-r_binary64`
325×	`unswap-sqr_binary64`

Counts

71 → 117

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	160	2616
1	404	2364
2	1071	1912
3	3605	1762
4	5029	1762

prune2.1s (35.2%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	660	0	660
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	660	7	667

Error

0.0b

Counts

667 → 7

Alt Table

Status	Error	Program
✓	2.1b	(.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))))) (.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)))
✓	1.5b	(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 841/108 4/29))) 6) (cbrt.f64 (fma.f64 x 841/108 4/29)))
✓	0.1b	(fma.f64 841/108 x 4/29)
	14.9b	(*.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)))
	16.2b	(.f64 (.f64 (cbrt.f64 (fma.f64 841/108 x 4/29)) (cbrt.f64 (fma.f64 841/108 x 4/29))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29))) (cbrt.f64 (sqrt.f64 (fma.f64 841/108 x 4/29)))))
	49.0b	(.f64 (cbrt.f64 (.f64 707281/11664 (pow.f64 (/.f64 -1 x) -2))) (cbrt.f64 (fma.f64 841/108 x 4/29)))

Compiler

Compiled 36332 to 30913 computations (14.9% saved)

regimes703.0ms (11.6%)

Accuracy

Total 0.0b remaining (44.5%)

Threshold costs 0.0b (44.5%)

Counts

78 → 1

Compiler

Compiled 6134 to 5237 computations (14.6% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	5	5

end1.0ms (0%)

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

sample1.1s (18.7%)

Algorithm

1×

intervals

Results

571.0ms	7998×	body	128	valid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 154 to 131 computations (14.9% saved)

Details

analyze36.0ms (0.6%)

sample34.0ms (0.6%)

simplify13.0ms (0.2%)

prune8.0ms (0.1%)

localize5.0ms (0.1%)

series3.0ms (0%)

rewrite1.0ms (0%)

simplify131.0ms (2.2%)

prune20.0ms (0.3%)

localize15.0ms (0.3%)

series25.0ms (0.4%)

rewrite35.0ms (0.6%)

simplify200.0ms (3.3%)

prune491.0ms (8.1%)

localize17.0ms (0.3%)

series66.0ms (1.1%)

rewrite33.0ms (0.5%)

simplify279.0ms (4.6%)

prune443.0ms (7.3%)

localize25.0ms (0.4%)

series26.0ms (0.4%)

rewrite19.0ms (0.3%)

simplify159.0ms (2.6%)

prune2.1s (35.2%)

regimes703.0ms (11.6%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.1s (18.7%)

Profiling