Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
25%	50%	25%	3
37.5%	25%	37.5%	4
43.7%	12.5%	43.8%	5
46.9%	6.2%	46.9%	6
48.4%	3.1%	48.5%	7
49.2%	1.6%	49.2%	8
49.6%	0.8%	49.6%	9
49.6%	0.4%	50%	10
49.7%	0.2%	50.1%	11
49.7%	0.1%	50.2%	12
49.7%	0%	50.2%	13
49.7%	0%	50.2%	14

Compiler

Compiled 6 to 4 computations (33.3% saved)

sample771.0ms (12.7%)

Results

743.0ms	8256×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	5	6
2	5	6

prune1.0ms (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

0.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.3b	(*.f64 x (log.f64 x))

Compiler

Compiled 15 to 9 computations (40% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 x (log.f64 x))

series32.0ms (0.5%)

Counts

1 → 12

Calls

1 calls:

32.0ms

(*.f64 x (log.f64 x))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64`
6×	`log-prod_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate-r_binary64`

Counts

1 → 27

Calls

1 calls:

3.0ms

(*.f64 x (log.f64 x))

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1025×	`fma-def_binary64`
501×	`sub-neg_binary64`
395×	`div-sub_binary64`
347×	`fma-neg_binary64`
343×	`distribute-rgt-neg-out_binary64`

Counts

39 → 33

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	57	359
1	96	325
2	258	325
3	452	325
4	1256	325
5	2761	325
6	4564	325
7	5019	325

prune25.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	27	6	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	27	7	34

Error

0.0b

Counts

34 → 7

Alt Table

Status	Error	Program
	1.3b	(.f64 (.f64 x (*.f64 (cbrt.f64 (log.f64 x)) (cbrt.f64 (log.f64 x)))) (cbrt.f64 (log.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))
	42.6b	(cbrt.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x))))
	1.4b	(.f64 (.f64 (cbrt.f64 (.f64 x (log.f64 x))) (cbrt.f64 (.f64 x (log.f64 x)))) (cbrt.f64 (*.f64 x (log.f64 x))))
	31.0b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
	1.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
▶	0.4b	(+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (log.f64 (cbrt.f64 x)) x))

Compiler

Compiled 479 to 182 computations (62% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 (cbrt.f64 x)) x)
✓	0.4b	(+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (log.f64 (cbrt.f64 x)) x))
✓	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)

series2.1s (35.4%)

Counts

4 → 48

Calls

4 calls:

1.4s	(+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (log.f64 (cbrt.f64 x)) x))
676.0ms	(*.f64 (log.f64 (cbrt.f64 x)) x)
38.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
30.0ms	(cbrt.f64 x)

rewrite18.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`
14×	`pow1_binary64`

Counts

4 → 92

Calls

4 calls:

5.0ms	(+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (*.f64 (log.f64 (cbrt.f64 x)) x))
4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
3.0ms	(*.f64 (log.f64 (cbrt.f64 x)) x)
2.0ms	(cbrt.f64 x)

simplify115.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

853×	`fma-neg_binary64`
421×	`fma-def_binary64`
397×	`distribute-rgt-in_binary64`
345×	`distribute-lft-in_binary64`
266×	`log-prod_binary64`

Counts

140 → 146

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	129	1674
1	294	1361
2	1135	1227
3	4063	1227
4	4904	1227

prune126.0ms (2.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	177	5	182
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	180	9	189

Error

0.0b

Counts

189 → 9

Alt Table

Status	Error	Program
	0.4b	(+.f64 (.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x) (.f64 1/3 (.f64 (log.f64 x) x)))
✓	0.3b	(*.f64 x (log.f64 x))
	42.6b	(cbrt.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x))))
	0.4b	(+.f64 (.f64 (log.f64 (pow.f64 x 2/3)) x) (.f64 (log.f64 (cbrt.f64 x)) x))
	31.0b	(.f64 (.f64 x (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)))
	0.4b	(.f64 x (+.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (log.f64 (cbrt.f64 x))))
	43.8b	(/.f64 (.f64 (pow.f64 x 3) (.f64 (pow.f64 (log.f64 x) 3) 1/3)) (.f64 (.f64 x (log.f64 x)) (*.f64 x (log.f64 (cbrt.f64 x)))))
	1.3b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (*.f64 (cbrt.f64 x) (log.f64 x)))
▶	0.3b	(fma.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x (.f64 (log.f64 (cbrt.f64 x)) x))

Compiler

Compiled 3608 to 1072 computations (70.3% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x (.f64 (log.f64 (cbrt.f64 x)) x))
	0.3b	(*.f64 (log.f64 (cbrt.f64 x)) x)
	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
	0.6b	(cbrt.f64 x)

series1.5s (24.8%)

Counts

1 → 12

Calls

1 calls:

1.5s	(fma.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x (.f64 (log.f64 (cbrt.f64 x)) 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 (log.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x))) x (*.f64 (log.f64 (cbrt.f64 x)) x))

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

455×	`fma-neg_binary64`
383×	`fma-def_binary64`
367×	`distribute-rgt-in_binary64`
358×	`unswap-sqr_binary64`
348×	`distribute-lft-in_binary64`

Counts

22 → 23

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	497
1	101	326
2	237	264
3	799	236
4	3098	236
5	4799	236
6	5101	236

prune133.0ms (2.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	170	5	175
Fresh	5	2	7
Picked	1	0	1
Done	0	1	1
Total	176	8	184

Error

Counts

184 → 8

Alt Table

Status	Error	Program
	0.3b	(fma.f64 (log.f64 (exp.f64 (.f64 2/3 (log.f64 x)))) x (.f64 (log.f64 (cbrt.f64 x)) x))
	42.6b	(cbrt.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x))))
	30.9b	(fma.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x (.f64 (sqrt.f64 (log.f64 (cbrt.f64 x))) (*.f64 x (sqrt.f64 (log.f64 (cbrt.f64 x))))))
▶	0.2b	(fma.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x (.f64 (log.f64 (pow.f64 x 1/3)) x))
	0.7b	(fma.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x (.f64 (.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) (cbrt.f64 (log.f64 (cbrt.f64 x)))) (.f64 x (cbrt.f64 (log.f64 (cbrt.f64 x))))))
	0.4b	(fma.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x (.f64 (*.f64 (log.f64 (cbrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))
	0.4b	(.f64 x (+.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (log.f64 (cbrt.f64 x))))

Compiler

Compiled 3269 to 942 computations (71.2% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (log.f64 (pow.f64 x 1/3)) x)
	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
	0.6b	(cbrt.f64 x)
✓	5.1b	(pow.f64 x 1/3)

series398.0ms (6.6%)

Counts

2 → 12

Calls

2 calls:

375.0ms	(*.f64 (log.f64 (pow.f64 x 1/3)) x)
23.0ms	(pow.f64 x 1/3)

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
5×	`add-exp-log_binary64`
5×	`pow1_binary64`

Counts

2 → 41

Calls

2 calls:

3.0ms	(*.f64 (log.f64 (pow.f64 x 1/3)) x)
3.0ms	(pow.f64 x 1/3)

simplify87.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

841×	`fma-def_binary64`
625×	`associate-l_binary64`
558×	`unswap-sqr_binary64`
503×	`associate-r_binary64`
492×	`log-prod_binary64`

Counts

53 → 68

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	539
1	151	489
2	467	420
3	2341	390
4	3846	390
5	4847	390
6	5182	390

prune146.0ms (2.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	163	0	163
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	163	8	171

Error

Counts

171 → 8

Alt Table

Status	Error	Program
	0.3b	(fma.f64 (log.f64 (exp.f64 (.f64 2/3 (log.f64 x)))) x (.f64 (log.f64 (cbrt.f64 x)) x))
	42.6b	(cbrt.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (*.f64 (log.f64 x) (log.f64 x)) (log.f64 x))))
	30.9b	(fma.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x (.f64 (sqrt.f64 (log.f64 (cbrt.f64 x))) (*.f64 x (sqrt.f64 (log.f64 (cbrt.f64 x))))))
✓	0.2b	(fma.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x (.f64 (log.f64 (pow.f64 x 1/3)) x))
	0.7b	(fma.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x (.f64 (.f64 (cbrt.f64 (log.f64 (cbrt.f64 x))) (cbrt.f64 (log.f64 (cbrt.f64 x)))) (.f64 x (cbrt.f64 (log.f64 (cbrt.f64 x))))))
	0.4b	(fma.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) x (.f64 (*.f64 (log.f64 (cbrt.f64 x)) (sqrt.f64 x)) (sqrt.f64 x)))
✓	0.3b	(*.f64 x (log.f64 x))
	0.4b	(.f64 x (+.f64 (log.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (log.f64 (cbrt.f64 x))))

Compiler

Compiled 3128 to 1417 computations (54.7% saved)

regimes238.0ms (3.9%)

Accuracy

Total 0.2b remaining (90.7%)

Threshold costs 0.2b (90.7%)

Counts

111 → 1

Compiler

Compiled 3514 to 2107 computations (40% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	12	20
2	12	20

end112.0ms (1.8%)

Compiler: Compiled 154 to 85 computations (44.8% saved)

Details

analyze6.0ms (0.1%)

sample771.0ms (12.7%)

simplify9.0ms (0.1%)

prune1.0ms (0%)

localize3.0ms (0.1%)

series32.0ms (0.5%)

rewrite4.0ms (0.1%)

simplify79.0ms (1.3%)

prune25.0ms (0.4%)

localize10.0ms (0.2%)

series2.1s (35.4%)

rewrite18.0ms (0.3%)

simplify115.0ms (1.9%)

prune126.0ms (2.1%)

localize11.0ms (0.2%)

series1.5s (24.8%)

rewrite1.0ms (0%)

simplify66.0ms (1.1%)

prune133.0ms (2.2%)

localize12.0ms (0.2%)

series398.0ms (6.6%)

rewrite7.0ms (0.1%)

simplify87.0ms (1.4%)

prune146.0ms (2.4%)

regimes238.0ms (3.9%)

simplify2.0ms (0%)

end112.0ms (1.8%)

Profiling