Details

analyze1.0ms (0%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
100%	0%	0%	1

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample541.0ms (11.4%)

Infinites

0% of outputs are infinite.

Results

469.0ms

8256×

body

128

valid

Compiler

Compiled 20 to 17 computations (15% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	10	4
2	8	4

prune2.0ms (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

0.0b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 x 1/3)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize2.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x 1/3)

series1.0ms (0%)

Counts

1 → 12

Calls

1 calls:

1.0ms

(+.f64 x 1/3)

rewrite3.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`*-un-lft-identity_binary64`
3×	`add-log-exp_binary64`
3×	`fma-def_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`

Counts

1 → 17

Calls

1 calls:

2.0ms

(+.f64 x 1/3)

simplify91.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

482×	`fma-def_binary64`
459×	`neg-mul-1_binary64`
410×	`neg-sub0_binary64`
374×	`unswap-sqr_binary64`
336×	`distribute-lft-out_binary64`

Counts

29 → 28

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	30	148
1	69	139
2	120	137
3	242	136
4	533	136
5	1263	136
6	1920	136
7	3477	136
8	4449	136
9	4948	136

prune14.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	26	2	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	3	29

Error

0.0b

Counts

29 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x 1/3)
▶	15.1b	(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
	30.2b	(log.f64 (exp.f64 (+.f64 1/3 x)))

Compiler

Compiled 236 to 178 computations (24.6% saved)

localize4.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x 1/3))
	0.0b	(+.f64 x 1/3)
✓	0.1b	(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))

series11.0ms (0.2%)

Counts

2 → 16

Calls

2 calls:

10.0ms	(sqrt.f64 (+.f64 x 1/3))
1.0ms	(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))

rewrite16.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`sqrt-prod_binary64`
30×	`add-sqr-sqrt_binary64`
27×	`*-un-lft-identity_binary64`
18×	`pow1_binary64`
14×	`sqrt-div_binary64`

Counts

2 → 85

Calls

2 calls:

8.0ms	(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
2.0ms	(sqrt.f64 (+.f64 x 1/3))

simplify109.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

619×	`fma-def_binary64`
432×	`times-frac_binary64`
366×	`associate-/l*_binary64`
347×	`distribute-rgt-in_binary64`
343×	`distribute-lft-in_binary64`

Counts

101 → 114

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	996
1	189	899
2	485	871
3	1512	839
4	4947	839
5	5024	839

prune125.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	205	0	205
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	205	3	208

Error

0.0b

Counts

208 → 3

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x 1/3)
✓	15.1b	(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
▶	30.2b	(log.f64 (exp.f64 (+.f64 1/3 x)))

Compiler

Compiled 2960 to 2370 computations (19.9% saved)

localize4.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (+.f64 1/3 x))
✓	0.0b	(+.f64 1/3 x)
✓	1.2b	(log.f64 (exp.f64 (+.f64 1/3 x)))

series5.0ms (0.1%)

Counts

3 → 19

Calls

3 calls:

2.0ms	(exp.f64 (+.f64 1/3 x))
2.0ms	(log.f64 (exp.f64 (+.f64 1/3 x)))
1.0ms	(+.f64 1/3 x)

rewrite10.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64`
8×	`exp-prod_binary64`
7×	`add-sqr-sqrt_binary64`
7×	`add-cube-cbrt_binary64`

Counts

3 → 52

Calls

3 calls:

3.0ms	(log.f64 (exp.f64 (+.f64 1/3 x)))
3.0ms	(exp.f64 (+.f64 1/3 x))
2.0ms	(+.f64 1/3 x)

simplify82.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

648×	`fma-def_binary64`
550×	`fma-neg_binary64`
502×	`distribute-rgt-out_binary64`
428×	`*-commutative_binary64`
385×	`associate-+l+_binary64`

Counts

71 → 65

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	76	501
1	141	461
2	309	453
3	809	445
4	2128	444
5	3418	444
6	4676	444
7	4887	444

prune46.0ms (1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	64	1	65
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	64	4	68

Error

Counts

68 → 4

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x 1/3)
✓	15.1b	(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
✓	30.2b	(log.f64 (exp.f64 (+.f64 1/3 x)))
▶	32.0b	(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))) (cbrt.f64 (exp.f64 (+.f64 1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x)))))

Compiler

Compiled 688 to 565 computations (17.9% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(*.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))) (cbrt.f64 (exp.f64 (+.f64 1/3 x))))
✓	0.7b	(cbrt.f64 (exp.f64 (+.f64 1/3 x)))
✓	1.5b	(log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))) (cbrt.f64 (exp.f64 (+.f64 1/3 x)))))
✓	1.9b	(log.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))))

series2.9s (61.2%)

Counts

4 → 48

Calls

4 calls:

1.2s	(log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))) (cbrt.f64 (exp.f64 (+.f64 1/3 x)))))
670.0ms	(cbrt.f64 (exp.f64 (+.f64 1/3 x)))
581.0ms	(log.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))))
484.0ms	(*.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))) (cbrt.f64 (exp.f64 (+.f64 1/3 x))))

rewrite58.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
20×	`pow1_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`

Counts

4 → 99

Calls

4 calls:

16.0ms	(*.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))) (cbrt.f64 (exp.f64 (+.f64 1/3 x))))
16.0ms	(log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))) (cbrt.f64 (exp.f64 (+.f64 1/3 x)))))
6.0ms	(log.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))))
5.0ms	(cbrt.f64 (exp.f64 (+.f64 1/3 x)))

simplify135.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

553×	`distribute-rgt-in_binary64`
472×	`distribute-lft-in_binary64`
384×	`unswap-sqr_binary64`
356×	`associate-l_binary64`
279×	`log-prod_binary64`

Counts

147 → 176

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	131	2245
1	242	1903
2	623	1570
3	1882	1428
4	4821	1428

prune329.0ms (6.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	238	0	238
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	238	4	242

Error

Counts

242 → 4

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 x 1/3)
✓	15.1b	(*.f64 (sqrt.f64 (+.f64 x 1/3)) (sqrt.f64 (+.f64 x 1/3)))
✓	30.2b	(log.f64 (exp.f64 (+.f64 1/3 x)))
✓	32.0b	(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x))) (cbrt.f64 (exp.f64 (+.f64 1/3 x))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 1/3 x)))))

Compiler

Compiled 5649 to 4817 computations (14.7% saved)

regimes129.0ms (2.7%)

Accuracy

Total 0.0b remaining (58.7%)

Threshold costs 0.0b (58.7%)

Counts

33 → 1

Compiler

Compiled 888 to 764 computations (14% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	4
1	10	4
2	8	4

end107.0ms (2.2%)

Compiler: Compiled 48 to 39 computations (18.8% saved)

Details

analyze1.0ms (0%)

sample541.0ms (11.4%)

simplify6.0ms (0.1%)

prune2.0ms (0%)

localize2.0ms (0%)

series1.0ms (0%)

rewrite3.0ms (0.1%)

simplify91.0ms (1.9%)

prune14.0ms (0.3%)

localize4.0ms (0.1%)

series11.0ms (0.2%)

rewrite16.0ms (0.3%)

simplify109.0ms (2.3%)

prune125.0ms (2.6%)

localize4.0ms (0.1%)

series5.0ms (0.1%)

rewrite10.0ms (0.2%)

simplify82.0ms (1.7%)

prune46.0ms (1%)

localize10.0ms (0.2%)

series2.9s (61.2%)

rewrite58.0ms (1.2%)

simplify135.0ms (2.8%)

prune329.0ms (6.9%)

regimes129.0ms (2.7%)

simplify3.0ms (0.1%)

end107.0ms (2.2%)

Profiling