Details

analyze661.0ms (4.2%)

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	62.4%	37.6%	5
0%	56.2%	43.8%	6
7.8%	48.4%	43.8%	7
12.5%	40.6%	47%	8
18.3%	33.2%	48.5%	9
25.2%	26.3%	48.5%	10
29.7%	21%	49.3%	11
32.6%	17.7%	49.7%	12
36.7%	13.6%	49.7%	13
39.4%	10.7%	49.9%	14

Compiler

Compiled 12 to 8 computations (33.3% saved)

sample41.0ms (0.3%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify181.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

3353×	`fma-neg_binary64`
476×	`distribute-rgt-in_binary64`
425×	`unsub-neg_binary64`
361×	`fma-def_binary64`
308×	`distribute-lft-in_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	16	12
2	36	12
3	76	12
4	131	12
5	231	12
6	342	12
7	678	12
8	1365	12
9	2068	12
10	2356	12
11	2518	12
12	2627	12
13	2660	12
14	2664	12
15	2866	12
16	2767	12
17	2779	12
18	2791	12
19	2799	12
20	2799	12
21	5311	12

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

0.1b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 33 to 21 computations (36.4% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (*.f64 x (log.f64 y)) z)
✓	0.3b	(*.f64 x (log.f64 y))

series651.0ms (4.1%)

Counts

2 → 60

Calls

2 calls:

468.0ms	(*.f64 x (log.f64 y))
183.0ms	(-.f64 (*.f64 x (log.f64 y)) z)

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`log-prod_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64`
6×	`associate--l+_binary64`

Counts

2 → 53

Calls

2 calls:

8.0ms	(-.f64 (*.f64 x (log.f64 y)) z)
6.0ms	(*.f64 x (log.f64 y))

simplify150.0ms (1%)

Algorithm

1×	egg-herbie

Rules

991×	`fma-def_binary64`
454×	`fma-neg_binary64`
371×	`unsub-neg_binary64`
370×	`associate-l_binary64`
287×	`*-commutative_binary64`

Counts

113 → 84

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1016
1	223	985
2	663	980
3	1719	980
4	3380	980
5	4870	980
6	4952	980
7	4888	980

prune121.0ms (0.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	81	3	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	3	85

Error

0.0b

Counts

85 → 3

Alt Table

Status	Error	Program
	0.5b	(-.f64 (-.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (log.f64 y))) z) y)
	0.1b	(-.f64 (-.f64 (+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y)))) z) y)
▶	0.1b	(-.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) y)

Compiler

Compiled 1279 to 444 computations (65.3% saved)

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

series185.0ms (1.2%)

Counts

1 → 36

Calls

1 calls:

185.0ms

(fma.f64 x (log.f64 y) (neg.f64 z))

rewrite2.0ms (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 x (log.f64 y) (neg.f64 z))

simplify133.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-neg_binary64`
509×	`neg-sub0_binary64`
464×	`neg-mul-1_binary64`
449×	`sub-neg_binary64`
358×	`distribute-rgt-neg-out_binary64`

Counts

46 → 24

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	435
1	63	416
2	128	414
3	313	414
4	1069	414
5	2225	414
6	3799	414
7	4372	414
8	5012	414

prune26.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	24	0	24
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	24	3	27

Error

0.0b

Counts

27 → 3

Alt Table

Status	Error	Program
	0.5b	(-.f64 (-.f64 (.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (log.f64 y))) z) y)
▶	0.1b	(-.f64 (-.f64 (+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y)))) z) y)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) y)

Compiler

Compiled 379 to 142 computations (62.5% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
✓	0.2b	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
✓	0.3b	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
✓	0.6b	(cbrt.f64 y)

series6.3s (40.1%)

Counts

4 → 84

Calls

4 calls:

2.1s	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
2.1s	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
2.0s	(*.f64 x (log.f64 (cbrt.f64 y)))
56.0ms	(cbrt.f64 y)

rewrite35.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`log-prod_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
16×	`add-cube-cbrt_binary64`
15×	`cbrt-prod_binary64`

Counts

4 → 94

Calls

4 calls:

10.0ms	(+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
7.0ms	(.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2))
7.0ms	(*.f64 x (log.f64 (cbrt.f64 y)))
1.0ms	(cbrt.f64 y)

simplify194.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

731×	`fma-neg_binary64`
502×	`fma-def_binary64`
375×	`*-commutative_binary64`
346×	`cancel-sign-sub-inv_binary64`
279×	`distribute-rgt-neg-in_binary64`

Counts

178 → 155

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	2256
1	336	1937
2	1137	1744
3	3238	1736
4	4453	1736
5	4816	1736

prune281.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	171	2	173
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	173	3	176

Error

Counts

176 → 3

Alt Table

Status	Error	Program
	0.2b	(-.f64 (-.f64 (+.f64 (.f64 x (fma.f64 2/3 (log.f64 y) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x)) z) y)
▶	0.1b	(-.f64 (-.f64 (fma.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2) (.f64 x (log.f64 (cbrt.f64 y)))) z) y)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) y)

Compiler

Compiled 3896 to 1607 computations (58.8% saved)

localize22.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (cbrt.f64 y))
✓	0.2b	(fma.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2) (.f64 x (log.f64 (cbrt.f64 y))))
	0.2b	(*.f64 x (log.f64 (cbrt.f64 y)))
	0.6b	(cbrt.f64 y)

series5.1s (32.4%)

Counts

2 → 36

Calls

2 calls:

4.1s	(fma.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2) (.f64 x (log.f64 (cbrt.f64 y))))
1.0s	(log.f64 (cbrt.f64 y))

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`log-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
3×	`cbrt-prod_binary64`

Counts

2 → 28

Calls

2 calls:

2.0ms	(log.f64 (cbrt.f64 y))
1.0ms	(fma.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2) (.f64 x (log.f64 (cbrt.f64 y))))

simplify129.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

435×	`distribute-rgt-in_binary64`
424×	`distribute-lft-in_binary64`
407×	`log-prod_binary64`
230×	`fma-neg_binary64`
226×	`*-commutative_binary64`

Counts

64 → 49

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	811
1	103	681
2	230	519
3	668	507
4	2598	507
5	4622	507
6	5135	507

prune299.0ms (1.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	163	3	166

Error

Counts

166 → 3

Alt Table

Status	Error	Program
	0.2b	(-.f64 (-.f64 (+.f64 (.f64 x (fma.f64 2/3 (log.f64 y) (log.f64 (cbrt.f64 (sqrt.f64 y))))) (.f64 (log.f64 (cbrt.f64 (sqrt.f64 y))) x)) z) y)
✓	0.1b	(-.f64 (-.f64 (fma.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2) (.f64 x (log.f64 (cbrt.f64 y)))) z) y)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (neg.f64 z)) y)

Compiler

Compiled 3379 to 1329 computations (60.7% saved)

regimes393.0ms (2.5%)

Accuracy

Total 0.1b remaining (72.1%)

Threshold costs 0.1b (72.1%)

Counts

78 → 1

Compiler

Compiled 5902 to 3720 computations (37% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	29
1	25	29
2	32	29
3	36	29
4	38	29
5	37	29

end1.0ms (0%)

Compiler: Compiled 22 to 16 computations (27.3% saved)

sample744.0ms (4.7%)

Algorithm

1×

intervals

Results

413.0ms	8000×	body	128	valid
2.0ms	38×	body	128	invalid
1.0ms	38×	body	128	nan

Compiler

Compiled 91 to 59 computations (35.2% saved)

Details

analyze661.0ms (4.2%)

sample41.0ms (0.3%)

simplify181.0ms (1.2%)

prune3.0ms (0%)

localize13.0ms (0.1%)

series651.0ms (4.1%)

rewrite18.0ms (0.1%)

simplify150.0ms (1%)

prune121.0ms (0.8%)

localize15.0ms (0.1%)

series185.0ms (1.2%)

rewrite2.0ms (0%)

simplify133.0ms (0.8%)

prune26.0ms (0.2%)

localize21.0ms (0.1%)

series6.3s (40.1%)

rewrite35.0ms (0.2%)

simplify194.0ms (1.2%)

prune281.0ms (1.8%)

localize22.0ms (0.1%)

series5.1s (32.4%)

rewrite6.0ms (0%)

simplify129.0ms (0.8%)

prune299.0ms (1.9%)

regimes393.0ms (2.5%)

simplify3.0ms (0%)

end1.0ms (0%)

sample744.0ms (4.7%)

Profiling