Details

analyze4.0ms (0.3%)

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
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample643.0ms (45.2%)

Results

616.0ms

8256×

body

128

valid

Compiler

Compiled 20 to 17 computations (15% saved)

simplify8.0ms (0.5%)

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 (0.2%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

series1.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

1.0ms

(+.f64 x 1/3)

rewrite3.0ms (0.2%)

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)

simplify73.0ms (5.1%)

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

prune21.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	4	29

Error

Counts

29 → 4

Alt Table

Status	Error	Program
	19.6b	(exp.f64 (log.f64 (+.f64 x 1/3)))
▶	0.8b	(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) 1/3)
	19.6b	(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
✓	0.0b	(+.f64 x 1/3)

Compiler

Compiled 248 to 182 computations (26.6% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) 1/3)
✓	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.7b	(cbrt.f64 x)

series162.0ms (11.4%)

Counts

3 → 36

Calls

3 calls:

79.0ms	(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) 1/3)
43.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
40.0ms	(cbrt.f64 x)

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`

Counts

3 → 65

Calls

3 calls:

4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)
0.0ms	(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) 1/3)

simplify91.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

825×	`log-prod_binary64`
557×	`unswap-sqr_binary64`
444×	`sqr-pow_binary64`
356×	`exp-prod_binary64`
310×	`associate-l_binary64`

Counts

101 → 93

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	69	731
1	111	666
2	331	628
3	922	614
4	2248	522
5	3476	522
6	4641	522
7	5026	522

prune58.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	129	4	133

Error

Counts

133 → 4

Alt Table

Status	Error	Program
	19.6b	(exp.f64 (log.f64 (+.f64 x 1/3)))
✓	0.8b	(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) 1/3)
▶	19.6b	(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
✓	0.0b	(+.f64 x 1/3)

Compiler

Compiled 1688 to 644 computations (61.8% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(+.f64 x 1/3)
✓	0.0b	(log1p.f64 (+.f64 x 1/3))
✓	1.6b	(expm1.f64 (log1p.f64 (+.f64 x 1/3)))

series6.0ms (0.4%)

Counts

2 → 24

Calls

2 calls:

4.0ms	(log1p.f64 (+.f64 x 1/3))
2.0ms	(expm1.f64 (log1p.f64 (+.f64 x 1/3)))

rewrite1.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`expm1-log1p-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(log1p.f64 (+.f64 x 1/3))
0.0ms	(expm1.f64 (log1p.f64 (+.f64 x 1/3)))

simplify63.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

678×	`fma-neg_binary64`
514×	`cancel-sign-sub-inv_binary64`
492×	`fma-def_binary64`
432×	`sub-neg_binary64`
419×	`times-frac_binary64`

Counts

46 → 60

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	407
1	158	358
2	399	352
3	957	348
4	2832	348
5	4401	348
6	5060	348

prune40.0ms (2.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	88	4	92

Error

Counts

92 → 4

Alt Table

Status	Error	Program
▶	19.6b	(exp.f64 (log.f64 (+.f64 x 1/3)))
✓	0.8b	(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) 1/3)
✓	19.6b	(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
✓	0.0b	(+.f64 x 1/3)

Compiler

Compiled 873 to 707 computations (19% saved)

localize5.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 x 1/3))
	0.0b	(+.f64 x 1/3)
✓	1.6b	(exp.f64 (log.f64 (+.f64 x 1/3)))

series4.0ms (0.3%)

Counts

2 → 24

Calls

2 calls:

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

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
8×	`log-prod_binary64`
5×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`exp-sum_binary64`

Counts

2 → 37

Calls

2 calls:

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

simplify74.0ms (5.2%)

Algorithm

1×	egg-herbie

Rules

747×	`fma-neg_binary64`
589×	`cancel-sign-sub-inv_binary64`
530×	`fma-def_binary64`
456×	`sub-neg_binary64`
359×	`times-frac_binary64`

Counts

61 → 81

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	101	590
1	203	537
2	467	527
3	1072	513
4	3100	513
5	4807	513
6	5149	513

prune59.0ms (4.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	109	0	109
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	109	4	113

Error

Counts

113 → 4

Alt Table

Status	Error	Program
✓	19.6b	(exp.f64 (log.f64 (+.f64 x 1/3)))
✓	0.8b	(fma.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 x)) (cbrt.f64 x) 1/3)
✓	19.6b	(expm1.f64 (log1p.f64 (+.f64 x 1/3)))
✓	0.0b	(+.f64 x 1/3)

Compiler

Compiled 1153 to 930 computations (19.3% saved)

regimes30.0ms (2.1%)

Accuracy

Total 0.0b remaining (15.1%)

Threshold costs 0.0b (15.1%)

Counts

12 → 1

Compiler

Compiled 192 to 147 computations (23.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

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

end49.0ms (3.5%)

Compiler: Compiled 34 to 24 computations (29.4% saved)

Details

analyze4.0ms (0.3%)

sample643.0ms (45.2%)

simplify8.0ms (0.5%)

prune2.0ms (0.2%)

localize2.0ms (0.1%)

series1.0ms (0.1%)

rewrite3.0ms (0.2%)

simplify73.0ms (5.1%)

prune21.0ms (1.5%)

localize5.0ms (0.3%)

series162.0ms (11.4%)

rewrite8.0ms (0.5%)

simplify91.0ms (6.4%)

prune58.0ms (4.1%)

localize5.0ms (0.3%)

series6.0ms (0.4%)

rewrite1.0ms (0.1%)

simplify63.0ms (4.4%)

prune40.0ms (2.8%)

localize5.0ms (0.3%)

series4.0ms (0.3%)

rewrite6.0ms (0.4%)

simplify74.0ms (5.2%)

prune59.0ms (4.1%)

regimes30.0ms (2.1%)

simplify2.0ms (0.1%)

end49.0ms (3.5%)

Profiling