Details

analyze1.0s (9.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
18.7%	81.1%	0.2%	10
26.5%	71.5%	1.9%	11
28.8%	66%	5.2%	12
32.7%	58.7%	8.5%	13
41.9%	48.4%	9.7%	14

Compiler

Compiled 20 to 13 computations (35% saved)

sample173.0ms (1.6%)

Algorithm

1×

intervals

Results

12.0ms	244×	body	128	valid
3.0ms	60×	body	128	invalid
1.0ms	5×	body	1024	valid
1.0ms	6×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 43 to 29 computations (32.6% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary64`
317×	`associate-+l+_binary64`
210×	`associate-+r+_binary64`
79×	`distribute-rgt-in_binary64`
73×	`distribute-lft-in_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	32	17
2	87	15
3	232	15
4	484	15
5	761	15
6	922	15
7	936	15
8	916	15

prune3.0ms (0%)

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 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

Compiler

Compiled 60 to 37 computations (38.3% saved)

localize20.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

series17.0ms (0.2%)

Counts

1 → 48

Calls

1 calls:

17.0ms

(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

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 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

simplify89.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

652×	`associate-/r/_binary64`
476×	`times-frac_binary64`
403×	`*-commutative_binary64`
295×	`distribute-rgt-in_binary64`
294×	`distribute-lft-in_binary64`

Counts

58 → 36

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	1128
1	94	938
2	191	822
3	375	822
4	1548	822
5	1595	822
6	2051	822
7	2189	822
8	3165	822
9	5066	822

prune24.0ms (0.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

0.0b

Counts

37 → 2

Alt Table

Status	Error	Program
▶	0.0b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

Compiler

Compiled 541 to 291 computations (46.2% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 x (fma.f64 2 (+.f64 y z) t))
✓	0.1b	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

series31.0ms (0.3%)

Counts

2 → 96

Calls

2 calls:

17.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))
14.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

3.0ms	(*.f64 x (fma.f64 2 (+.f64 y z) t))
0.0ms	(fma.f64 5 y (*.f64 x (fma.f64 2 (+.f64 y z) t)))

simplify123.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

871×	`fma-def_binary64`
401×	`associate-*l/_binary64`
340×	`*-commutative_binary64`
311×	`sqr-pow_binary64`
278×	`distribute-lft-in_binary64`

Counts

128 → 80

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	82	2086
1	170	1615
2	433	1611
3	1581	1611
4	2611	1611
5	2923	1611
6	3319	1611
7	4819	1611
8	4807	1611

prune97.0ms (0.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	80	2	82

Error

0.0b

Counts

82 → 2

Alt Table

Status	Error	Program
▶	0.8b	(fma.f64 5 y (.f64 (.f64 x (*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (cbrt.f64 (fma.f64 2 (+.f64 y z) t))))
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

Compiler

Compiled 1299 to 674 computations (48.1% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 x (.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t))))
✓	0.4b	(.f64 (.f64 x (*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))
✓	0.5b	(cbrt.f64 (fma.f64 2 (+.f64 y z) t))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))

series974.0ms (8.8%)

Counts

4 → 168

Calls

4 calls:

761.0ms	(.f64 x (.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t))))
132.0ms	(*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))
64.0ms	(cbrt.f64 (fma.f64 2 (+.f64 y z) t))
17.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
22×	`cbrt-prod_binary64`
20×	`add-exp-log_binary64`
16×	`*-un-lft-identity_binary64`

Counts

4 → 102

Calls

4 calls:

11.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))
6.0ms	(.f64 x (.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t))))
4.0ms	(*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))
1.0ms	(cbrt.f64 (fma.f64 2 (+.f64 y z) t))

simplify267.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

582×	`*-commutative_binary64`
322×	`+-commutative_binary64`
290×	`fma-def_binary64`
252×	`associate-r_binary64`
219×	`associate-+r+_binary64`

Counts

270 → 365

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1315	16776
1	4332	16325
2	5271	16325

prune914.0ms (8.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	548	1	549
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	548	3	551

Error

0.0b

Counts

551 → 3

Alt Table

Status	Error	Program
▶	49.3b	(fma.f64 5 y (.f64 (.f64 x (.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z))) (/.f64 z t)) (+.f64 (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z))) (.f64 1/3 (/.f64 (*.f64 y (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z)))) z))))))
✓	0.8b	(fma.f64 5 y (.f64 (.f64 x (*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (cbrt.f64 (fma.f64 2 (+.f64 y z) t))))
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

Compiler

Compiled 40055 to 27327 computations (31.8% saved)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(.f64 (.f64 x (.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z))) (/.f64 z t)) (+.f64 (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z))) (.f64 1/3 (/.f64 (*.f64 y (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z)))) z)))))
✓	1.8b	(/.f64 (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z))) (/.f64 z t))
✓	2.3b	(pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z)))
✓	2.8b	(/.f64 (*.f64 y (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z)))) z)

series4.0s (36.6%)

Counts

4 → 108

Calls

4 calls:

2.3s	(.f64 (.f64 x (.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z))) (/.f64 z t)) (+.f64 (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z))) (.f64 1/3 (/.f64 (*.f64 y (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z)))) z)))))
775.0ms	(/.f64 (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z))) (/.f64 z t))
758.0ms	(/.f64 (*.f64 y (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z)))) z)
238.0ms	(pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z)))

rewrite48.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

188×	`times-frac_binary64`
105×	`*-un-lft-identity_binary64`
101×	`add-sqr-sqrt_binary64`
101×	`add-cube-cbrt_binary64`
45×	`unpow-prod-down_binary64`

Counts

4 → 223

Calls

4 calls:

8.0ms	(/.f64 (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z))) (/.f64 z t))
7.0ms	(.f64 (.f64 x (.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z))) (/.f64 z t)) (+.f64 (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z))) (.f64 1/3 (/.f64 (*.f64 y (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z)))) z)))))
5.0ms	(pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z)))
5.0ms	(/.f64 (*.f64 y (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z)))) z)

simplify330.0ms (3%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-def_binary64`
457×	`times-frac_binary64`
397×	`*-commutative_binary64`
235×	`associate-r_binary64`
192×	`+-commutative_binary64`

Counts

331 → 450

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1152	22373
1	3493	21199
2	5056	21199

prune1.0s (9.2%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	538	0	538
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	538	3	541

Error

0.0b

Counts

541 → 3

Alt Table

Status	Error	Program
✓	49.3b	(fma.f64 5 y (.f64 (.f64 x (.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (fma.f64 1/6 (/.f64 (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z))) (/.f64 z t)) (+.f64 (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z))) (.f64 1/3 (/.f64 (*.f64 y (pow.f64 (exp.f64 1/3) (+.f64 (log.f64 2) (log.f64 z)))) z))))))
✓	0.8b	(fma.f64 5 y (.f64 (.f64 x (*.f64 (cbrt.f64 (fma.f64 2 (+.f64 y z) t)) (cbrt.f64 (fma.f64 2 (+.f64 y z) t)))) (cbrt.f64 (fma.f64 2 (+.f64 y z) t))))
✓	0.1b	(fma.f64 x (fma.f64 (+.f64 y z) 2 t) (*.f64 y 5))

Compiler

Compiled 46897 to 31334 computations (33.2% saved)

regimes639.0ms (5.8%)

Accuracy

Total 0.0b remaining (18.6%)

Threshold costs 0.0b (18.6%)

Counts

110 → 1

Compiler

Compiled 12823 to 9066 computations (29.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	15
1	13	15
2	13	15

end1.0ms (0%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

sample1.1s (10.3%)

Algorithm

1×

intervals

Results

503.0ms	7730×	body	128	valid
137.0ms	1976×	body	128	invalid
22.0ms	131×	body	1024	valid
13.0ms	94×	body	512	valid
4.0ms	45×	body	256	valid

Compiler

Compiled 148 to 100 computations (32.4% saved)

Details

analyze1.0s (9.1%)

sample173.0ms (1.6%)

simplify19.0ms (0.2%)

prune3.0ms (0%)

localize20.0ms (0.2%)

series17.0ms (0.2%)

rewrite1.0ms (0%)

simplify89.0ms (0.8%)

prune24.0ms (0.2%)

localize8.0ms (0.1%)

series31.0ms (0.3%)

rewrite4.0ms (0%)

simplify123.0ms (1.1%)

prune97.0ms (0.9%)

localize11.0ms (0.1%)

series974.0ms (8.8%)

rewrite28.0ms (0.3%)

simplify267.0ms (2.4%)

prune914.0ms (8.3%)

localize28.0ms (0.3%)

series4.0s (36.6%)

rewrite48.0ms (0.4%)

simplify330.0ms (3%)

prune1.0s (9.2%)

regimes639.0ms (5.8%)

simplify2.0ms (0%)

end1.0ms (0%)

sample1.1s (10.3%)

Profiling