Details

analyze434.0ms (6.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
4.7%	21.8%	73.5%	11
4.7%	21.8%	73.5%	12
7%	19.5%	73.5%	13
8.2%	17.5%	74.3%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample2.5s (37.2%)

Results

1.0s	5937×	body	128	valid
493.0ms	675×	body	1024	valid
458.0ms	954×	body	512	valid
187.0ms	670×	body	256	valid
43.0ms	295×	body	128	invalid
21.0ms	20×	body	2048	valid

Compiler

Compiled 53 to 38 computations (28.3% saved)

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

821×	`fma-neg_binary64`
326×	`fma-def_binary64`
173×	`distribute-rgt-in_binary64`
134×	`unsub-neg_binary64`
124×	`associate--r+_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	25	17
2	46	17
3	71	17
4	112	17
5	173	17
6	293	17
7	437	17
8	681	17
9	1080	17
10	1312	17
11	1523	17
12	1539	17
13	1539	17
14	1492	17

prune3.0ms (0.1%)

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

0.1b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)

Compiler

Compiled 58 to 37 computations (36.2% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 z (log1p.f64 (neg.f64 y)))
✓	0.2b	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

series414.0ms (6.2%)

Counts

2 → 60

Calls

2 calls:

238.0ms	(*.f64 z (log1p.f64 (neg.f64 y)))
177.0ms	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

rewrite4.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-cube-cbrt_binary64`
4×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64`

Counts

2 → 30

Calls

2 calls:

2.0ms	(*.f64 z (log1p.f64 (neg.f64 y)))
0.0ms	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

635×	`fma-def_binary64`
533×	`sub-neg_binary64`
499×	`times-frac_binary64`
277×	`associate--r+_binary64`
275×	`unsub-neg_binary64`

Counts

90 → 97

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	1496
1	384	1354
2	1222	1300
3	3840	1300
4	5080	1300

prune70.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	93	4	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	5	98

Error

0.1b

Counts

98 → 5

Alt Table

Status	Error	Program
	32.1b	(-.f64 (.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	0.8b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	27.3b	(-.f64 (cbrt.f64 (.f64 (.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))) (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
▶	0.4b	(-.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)

Compiler

Compiled 2095 to 886 computations (57.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y z))
✓	0.0b	(.f64 1/2 (.f64 (pow.f64 y 2) z))
✓	0.3b	(*.f64 (log.f64 y) x)
✓	10.6b	(*.f64 (pow.f64 y 2) z)

series240.0ms (3.6%)

Counts

4 → 23

Calls

4 calls:

208.0ms	(*.f64 (log.f64 y) x)
12.0ms	(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y z))
11.0ms	(.f64 1/2 (.f64 (pow.f64 y 2) z))
9.0ms	(*.f64 (pow.f64 y 2) z)

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64`
18×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
13×	`add-cbrt-cube_binary64`
11×	`prod-exp_binary64`

Counts

4 → 85

Calls

4 calls:

5.0ms	(*.f64 (pow.f64 y 2) z)
4.0ms	(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y z))
4.0ms	(.f64 1/2 (.f64 (pow.f64 y 2) z))
3.0ms	(*.f64 (log.f64 y) x)

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

482×	`distribute-rgt-in_binary64`
470×	`fma-neg_binary64`
379×	`*-commutative_binary64`
298×	`fma-def_binary64`
268×	`unswap-sqr_binary64`

Counts

108 → 134

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	141	1339
1	322	1159
2	983	1107
3	2308	1103
4	4703	1101
5	4985	1101

prune365.0ms (5.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	129	5	134
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	133	6	139

Error

0.0b

Counts

139 → 6

Alt Table

Status	Error	Program
▶	0.8b	(-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)
	34.1b	(-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y z))) t)
	30.4b	(-.f64 (-.f64 (.f64 (sqrt.f64 (.f64 (log.f64 y) x)) (sqrt.f64 (.f64 (log.f64 y) x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	0.8b	(-.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (.f64 (cbrt.f64 (log.f64 y)) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)
	0.8b	(-.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (cbrt.f64 (.f64 (log.f64 y) x))) (cbrt.f64 (.f64 (log.f64 y) x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)

Compiler

Compiled 3467 to 1663 computations (52% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
✓	0.5b	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
✓	0.6b	(cbrt.f64 x)
	10.6b	(*.f64 (pow.f64 y 2) z)

series296.0ms (4.5%)

Counts

3 → 48

Calls

3 calls:

227.0ms	(.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
37.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
32.0ms	(cbrt.f64 x)

rewrite17.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

8.0ms	(.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))
4.0ms	(*.f64 (cbrt.f64 x) (cbrt.f64 x))
1.0ms	(cbrt.f64 x)

simplify82.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

630×	`unswap-sqr_binary64`
481×	`distribute-rgt-in_binary64`
459×	`distribute-lft-in_binary64`
374×	`log-prod_binary64`
354×	`exp-prod_binary64`

Counts

129 → 118

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	102	1155
1	208	975
2	766	924
3	1275	896
4	4456	884
5	4966	884

prune256.0ms (3.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	196	4	200
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	198	8	206

Error

0.0b

Counts

206 → 8

Alt Table

Status	Error	Program
▶	0.4b	(-.f64 (-.f64 (pow.f64 (.f64 x (log.f64 y)) 1) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)
	0.8b	(-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))) (cbrt.f64 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)
	1.0b	(-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y z))) t)
	34.4b	(-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (.f64 (.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))) (.f64 (cbrt.f64 (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))) (cbrt.f64 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)
	34.1b	(-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y z))) t)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	0.8b	(-.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (.f64 (cbrt.f64 (log.f64 y)) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)
	0.8b	(-.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (cbrt.f64 (.f64 (log.f64 y) x))) (cbrt.f64 (.f64 (log.f64 y) x))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)

Compiler

Compiled 6346 to 2666 computations (58% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y z))
	0.0b	(.f64 1/2 (.f64 (pow.f64 y 2) z))
✓	0.3b	(*.f64 x (log.f64 y))
	10.6b	(*.f64 (pow.f64 y 2) z)

series252.0ms (3.8%)

Counts

1 → 24

Calls

1 calls:

252.0ms

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

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 y))

simplify66.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1022×	`fma-def_binary64`
424×	`times-frac_binary64`
424×	`fma-neg_binary64`
417×	`unsub-neg_binary64`
353×	`distribute-rgt-neg-out_binary64`

Counts

51 → 40

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	61	431
1	100	397
2	259	397
3	376	397
4	1130	397
5	2628	397
6	4076	397
7	4875	397

prune230.0ms (3.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	141	1	142
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	143	7	150

Error

0.0b

Counts

150 → 7

Alt Table

Status	Error	Program
	0.5b	(-.f64 (-.f64 (pow.f64 (+.f64 (.f64 x (.f64 (log.f64 (cbrt.f64 y)) 2)) (.f64 x (log.f64 (cbrt.f64 y)))) 1) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)
✓	0.4b	(-.f64 (-.f64 (pow.f64 (.f64 x (log.f64 y)) 1) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)
	0.8b	(-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (.f64 (cbrt.f64 x) (.f64 (cbrt.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 (cbrt.f64 x))))) (cbrt.f64 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)
	1.0b	(-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (.f64 (cbrt.f64 x) (cbrt.f64 x))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 x)) 2) (cbrt.f64 (cbrt.f64 x)))) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y z))) t)
	34.1b	(-.f64 (-.f64 (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (*.f64 y z))) t)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	0.8b	(-.f64 (-.f64 (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (.f64 (cbrt.f64 (log.f64 y)) x)) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (.f64 y z))) t)

Compiler

Compiled 3834 to 1980 computations (48.4% saved)

regimes967.0ms (14.5%)

Accuracy

Total 0.1b remaining (75.2%)

Threshold costs 0.1b (75.2%)

Counts

147 → 1

Compiler

Compiled 24110 to 15468 computations (35.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	21	19
2	26	19
3	29	19
4	30	19
5	30	19

end189.0ms (2.8%)

Compiler: Compiled 234 to 150 computations (35.9% saved)

Details

analyze434.0ms (6.5%)

sample2.5s (37.2%)

simplify56.0ms (0.8%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

series414.0ms (6.2%)

rewrite4.0ms (0.1%)

simplify69.0ms (1%)

prune70.0ms (1%)

localize12.0ms (0.2%)

series240.0ms (3.6%)

rewrite20.0ms (0.3%)

simplify82.0ms (1.2%)

prune365.0ms (5.5%)

localize20.0ms (0.3%)

series296.0ms (4.5%)

rewrite17.0ms (0.3%)

simplify82.0ms (1.2%)

prune256.0ms (3.8%)

localize14.0ms (0.2%)

series252.0ms (3.8%)

rewrite4.0ms (0.1%)

simplify66.0ms (1%)

prune230.0ms (3.5%)

regimes967.0ms (14.5%)

simplify3.0ms (0%)

end189.0ms (2.8%)

Profiling