Details

analyze1.0s (5.4%)

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%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
12.5%	78%	9.5%	6
20.3%	68.7%	11%	7
21.1%	62.4%	16.5%	8
25.4%	57%	17.7%	9
26%	52.1%	22%	10
28.3%	49%	22.7%	11
28.6%	47.2%	24.2%	12
29.8%	45.6%	24.7%	13
29.9%	43.9%	26.2%	14

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample14.7s (75.9%)

Results

10.8s	4807×	body	8192	exit
1.8s	3313×	body	1024	invalid
1.2s	8256×	body	128	valid
555.0ms	1623×	body	512	invalid
184.0ms	843×	body	256	invalid
76.0ms	613×	body	128	invalid
5.0ms	3×	body	4096	invalid
3.0ms	1×	body	8192	invalid
2.0ms	3×	body	2048	invalid

Compiler

Compiled 32 to 23 computations (28.1% saved)

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

656×	`unswap-sqr_binary64`
607×	`times-frac_binary64`
203×	`associate-l_binary64`
192×	`associate-/l*_binary64`
177×	`sqr-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	19	13
2	38	11
3	85	11
4	260	11
5	1105	11
6	4055	11
7	4154	11
8	4278	11
9	4515	11
10	4958	11

Stop Event

1×	node limit

Counts

1 → 2

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.3b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.3b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
▶	0.3b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))

Compiler

Compiled 55 to 32 computations (41.8% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
✓	0.3b	(pow.f64 l (exp.f64 w))

series235.0ms (1.2%)

Counts

2 → 44

Calls

2 calls:

119.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
115.0ms	(pow.f64 l (exp.f64 w))

rewrite33.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

555×	`log1p-expm1-u_binary64`
555×	`expm1-log1p-u_binary64`
315×	`log-prod_binary64`
114×	`expm1-udef_binary64`
114×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	159	17
2	2031	17

Stop Event

1×	node limit

Counts

2 → 39

Calls

2 calls:

33.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
33.0ms	(pow.f64 l (exp.f64 w))

simplify23.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-def_binary64`
433×	`associate-+l+_binary64`
421×	`associate-l_binary64`
321×	`associate-+r+_binary64`
313×	`associate-r_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	694
1	255	663
2	913	588

Stop Event

1×	node limit

Counts

83 → 60

prune47.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	54	6	60
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	56	6	62

Error

0.1b

Counts

62 → 6

Alt Table

Status	Error	Program
	2.5b	(*.f64 (exp.f64 (neg.f64 w)) (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))))
▶	0.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
	13.7b	(fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)
	10.4b	(.f64 (exp.f64 (neg.f64 w)) (+.f64 l (fma.f64 (.f64 l (pow.f64 w 3)) (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) 1/2))) (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 l (+.f64 (.f64 1/6 (.f64 (pow.f64 w 3) (pow.f64 (log.f64 l) 3))) (*.f64 (log.f64 l) w)))))))
	8.3b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (fma.f64 l (*.f64 (log.f64 l) w) l)))
	4.6b	(.f64 (exp.f64 (neg.f64 w)) (exp.f64 (.f64 (log.f64 l) (exp.f64 w))))

Compiler

Compiled 1300 to 580 computations (55.4% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (pow.f64 l (exp.f64 w)))
✓	0.0b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
	0.3b	(pow.f64 l (exp.f64 w))
✓	0.4b	(*.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w))))

series337.0ms (1.7%)

Counts

3 → 68

Calls

3 calls:

115.0ms

(*.f64 (exp.f64 (neg.f64 w)) (*.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))

113.0ms

(sqrt.f64 (pow.f64 l (exp.f64 w)))

109.0ms

(*.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w))))

rewrite36.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

645×	`log1p-expm1-u_binary64`
645×	`expm1-log1p-u_binary64`
129×	`expm1-udef_binary64`
129×	`log1p-udef_binary64`
105×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	201	25
2	2327	25

Stop Event

1×	node limit

Counts

3 → 69

Calls

3 calls:

35.0ms

(sqrt.f64 (pow.f64 l (exp.f64 w)))

35.0ms

(*.f64 (exp.f64 (neg.f64 w)) (*.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))

35.0ms

(*.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w))))

simplify43.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

718×	`fma-neg_binary64`
597×	`associate-+l+_binary64`
470×	`associate-+r+_binary64`
293×	`*-commutative_binary64`
236×	`+-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	1035
1	359	996
2	1329	900
3	4533	900

Stop Event

1×	node limit

Counts

137 → 100

prune134.0ms (0.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	201	2	203
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	202	7	209

Error

0.1b

Counts

209 → 7

Alt Table

Status	Error	Program
	2.5b	(*.f64 (exp.f64 (neg.f64 w)) (expm1.f64 (log1p.f64 (pow.f64 l (exp.f64 w)))))
✓	0.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
	13.7b	(fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)
	10.4b	(.f64 (exp.f64 (neg.f64 w)) (+.f64 l (fma.f64 (.f64 l (pow.f64 w 3)) (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) 1/2))) (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 l (+.f64 (.f64 1/6 (.f64 (pow.f64 w 3) (pow.f64 (log.f64 l) 3))) (*.f64 (log.f64 l) w)))))))
	3.9b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (exp.f64 (*.f64 (log.f64 l) (exp.f64 w))))))
	8.3b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (fma.f64 l (*.f64 (log.f64 l) w) l)))
▶	1.4b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) 3))

Compiler

Compiled 4644 to 1698 computations (63.4% saved)

localize7.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) 3))
	0.3b	(pow.f64 l (exp.f64 w))
✓	0.5b	(cbrt.f64 (pow.f64 l (exp.f64 w)))
✓	0.6b	(pow.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) 3)

series1.1s (5.6%)

Counts

3 → 72

Calls

3 calls:

490.0ms	(pow.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) 3)
476.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
114.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) 3))

rewrite38.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

718×	`log1p-expm1-u_binary64`
718×	`expm1-log1p-u_binary64`
99×	`add-sqr-sqrt_binary64`
93×	`add-log-exp_binary64`
92×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	220	25
2	2534	25

Stop Event

1×	node limit

Counts

3 → 63

Calls

3 calls:

37.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) 3))
37.0ms	(cbrt.f64 (pow.f64 l (exp.f64 w)))
36.0ms	(pow.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))) 3)

simplify31.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

596×	`associate-+l+_binary64`
469×	`associate-+r+_binary64`
351×	`*-commutative_binary64`
242×	`+-commutative_binary64`
213×	`associate--l+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1367
1	402	1129
2	1484	940

Stop Event

1×	node limit

Counts

135 → 97

prune79.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	125	3	128
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	128	7	135

Error

0.1b

Counts

135 → 7

Alt Table

Status	Error	Program
	5.3b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/3) 3))
✓	0.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (sqrt.f64 (pow.f64 l (exp.f64 w))) (sqrt.f64 (pow.f64 l (exp.f64 w)))))
	13.7b	(fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)
	10.4b	(.f64 (exp.f64 (neg.f64 w)) (+.f64 l (fma.f64 (.f64 l (pow.f64 w 3)) (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) 1/2))) (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 l (+.f64 (.f64 1/6 (.f64 (pow.f64 w 3) (pow.f64 (log.f64 l) 3))) (*.f64 (log.f64 l) w)))))))
	8.3b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (fma.f64 l (*.f64 (log.f64 l) w) l)))
▶	4.6b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))))) 3))
	26.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) (.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) (cbrt.f64 (pow.f64 (.f64 l l) (exp.f64 w))))))

Compiler

Compiled 2756 to 1249 computations (54.7% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f64 l (exp.f64 w))
	0.5b	(cbrt.f64 (pow.f64 l (exp.f64 w)))
✓	0.6b	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))))) 3)
✓	3.4b	(exp.f64 (log.f64 (cbrt.f64 (pow.f64 l (exp.f64 w)))))

series965.0ms (5%)

Counts

2 → 48

Calls

2 calls:

488.0ms	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))))) 3)
477.0ms	(exp.f64 (log.f64 (cbrt.f64 (pow.f64 l (exp.f64 w)))))

rewrite36.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`log1p-expm1-u_binary64`
649×	`expm1-log1p-u_binary64`
340×	`log-prod_binary64`
137×	`log-pow_binary64`
133×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	183	14
2	1878	14

Stop Event

1×	node limit

Counts

2 → 54

Calls

2 calls:

34.0ms	(pow.f64 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))))) 3)
34.0ms	(exp.f64 (log.f64 (cbrt.f64 (pow.f64 l (exp.f64 w)))))

simplify36.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

863×	`fma-def_binary64`
478×	`unswap-sqr_binary64`
329×	`associate-+l+_binary64`
324×	`*-commutative_binary64`
313×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	92	923
1	291	897
2	1038	652
3	3858	552

Stop Event

1×	node limit

Counts

102 → 78

prune80.0ms (0.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	5	5
Picked	0	1	1
Done	1	0	1
Total	144	7	151

Error

0.1b

Counts

151 → 7

Alt Table

Status	Error	Program
	5.3b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/3) 3))
	13.7b	(fma.f64 w (-.f64 (*.f64 l (log.f64 l)) l) l)
	10.4b	(.f64 (exp.f64 (neg.f64 w)) (+.f64 l (fma.f64 (.f64 l (pow.f64 w 3)) (.f64 (log.f64 l) (+.f64 1/6 (.f64 (log.f64 l) 1/2))) (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (.f64 l (+.f64 (.f64 1/6 (.f64 (pow.f64 w 3) (pow.f64 (log.f64 l) 3))) (*.f64 (log.f64 l) w)))))))
	8.3b	(.f64 (exp.f64 (neg.f64 w)) (fma.f64 1/2 (.f64 (.f64 l (.f64 w w)) (+.f64 (log.f64 l) (pow.f64 (log.f64 l) 2))) (fma.f64 l (*.f64 (log.f64 l) w) l)))
✓	4.6b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))))) 3))
	26.7b	(.f64 (exp.f64 (neg.f64 w)) (.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) (.f64 (pow.f64 (pow.f64 l (exp.f64 w)) 1/6) (cbrt.f64 (pow.f64 (.f64 l l) (exp.f64 w))))))
	4.9b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 (pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 (pow.f64 l (exp.f64 w))))) 3))

Compiler

Compiled 3154 to 1446 computations (54.2% saved)

regimes186.0ms (1%)

Accuracy

Total 0.2b remaining (70.8%)

Threshold costs 0.2b (70.8%)

Counts

71 → 1

Compiler

Compiled 3374 to 2374 computations (29.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`+-lft-identity_binary64`
1×	`sub-neg_binary64`
1×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	16	13
2	18	13
3	19	13

Stop Event

1×

saturated

end121.0ms (0.6%)

Compiler: Compiled 187 to 123 computations (34.2% saved)

Details

analyze1.0s (5.4%)

sample14.7s (75.9%)

simplify43.0ms (0.2%)

prune3.0ms (0%)

localize6.0ms (0%)

series235.0ms (1.2%)

rewrite33.0ms (0.2%)

simplify23.0ms (0.1%)

prune47.0ms (0.2%)

localize7.0ms (0%)

series337.0ms (1.7%)

rewrite36.0ms (0.2%)

simplify43.0ms (0.2%)

prune134.0ms (0.7%)

localize7.0ms (0%)

series1.1s (5.6%)

rewrite38.0ms (0.2%)

simplify31.0ms (0.2%)

prune79.0ms (0.4%)

localize10.0ms (0.1%)

series965.0ms (5%)

rewrite36.0ms (0.2%)

simplify36.0ms (0.2%)

prune80.0ms (0.4%)

regimes186.0ms (1%)

simplify2.0ms (0%)

end121.0ms (0.6%)

Profiling