Details

analyze832.0ms (9.9%)

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 (29.8%)

Results

1.0s	5974×	body	128	valid
522.0ms	668×	body	1024	valid
442.0ms	942×	body	512	valid
187.0ms	644×	body	256	valid
44.0ms	265×	body	128	invalid
29.0ms	28×	body	2048	valid

Compiler

Compiled 53 to 38 computations (28.3% saved)

simplify53.0ms (0.6%)

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%)

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)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

series658.0ms (7.9%)

Counts

3 → 108

Calls

3 calls:

287.0ms	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
233.0ms	(*.f64 z (log1p.f64 (neg.f64 y)))
138.0ms	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

rewrite138.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 61

Calls

3 calls:

133.0ms	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
2.0ms	(*.f64 z (log1p.f64 (neg.f64 y)))
0.0ms	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

simplify128.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

368×	`distribute-neg-in_binary64`
341×	`distribute-rgt-in_binary64`
316×	`fma-neg_binary64`
292×	`times-frac_binary64`
259×	`sub-neg_binary64`

Counts

169 → 169

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	235	3071
1	634	2835
2	2073	2748
3	4555	2748
4	4988	2748
5	4921	2748

prune127.0ms (1.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	163	6	169
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	164	6	170

Error

0.1b

Counts

170 → 6

Alt Table

Status	Error	Program
	0.3b	(-.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y z) (.f64 1/3 (.f64 (pow.f64 y 3) z))))) t)
▶	0.1b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
	34.4b	(-.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)
	28.5b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) 3)) t)
	42.8b	(cbrt.f64 (.f64 (.f64 (-.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))) t) (-.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))) t)) (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)))

Compiler

Compiled 3809 to 1367 computations (64.1% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
✓	0.0b	(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x))
✓	0.3b	(*.f64 (log.f64 y) x)

series607.0ms (7.3%)

Counts

3 → 92

Calls

3 calls:

239.0ms	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
190.0ms	(*.f64 (log.f64 y) x)
177.0ms	(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64`
13×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
6×	`pow1_binary64`

Counts

3 → 62

Calls

3 calls:

7.0ms	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) t)
3.0ms	(*.f64 (log.f64 y) x)
0.0ms	(fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x))

simplify98.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

637×	`fma-neg_binary64`
478×	`associate-l_binary64`
355×	`associate-r_binary64`
297×	`distribute-neg-in_binary64`
279×	`distribute-rgt-in_binary64`

Counts

154 → 149

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	208	2744
1	543	2558
2	1709	2411
3	4397	2411
4	4916	2411

prune115.0ms (1.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	144	5	149
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	147	8	155

Error

0.0b

Counts

155 → 8

Alt Table

Status	Error	Program
▶	0.3b	(-.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y z) (.f64 1/3 (.f64 (pow.f64 y 3) z))))) t)
	31.9b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))) t)
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))) t)
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)
	32.4b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (sqrt.f64 (.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)))) t)
	28.5b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) 3)) t)
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (cbrt.f64 (.f64 (log.f64 y) x))) (cbrt.f64 (*.f64 (log.f64 y) x)))) t)
	42.8b	(cbrt.f64 (.f64 (.f64 (-.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))) t) (-.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))) t)) (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)))

Compiler

Compiled 3395 to 1153 computations (66% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 1/3 (.f64 (pow.f64 y 3) z))
	0.3b	(*.f64 (log.f64 y) x)
✓	6.4b	(*.f64 (pow.f64 y 3) z)
✓	7.1b	(*.f64 (pow.f64 y 2) z)

series53.0ms (0.6%)

Counts

3 → 0

Calls

3 calls:

34.0ms	(.f64 1/3 (.f64 (pow.f64 y 3) z))
10.0ms	(*.f64 (pow.f64 y 3) z)
9.0ms	(*.f64 (pow.f64 y 2) z)

rewrite16.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
23×	`associate-l_binary64`
23×	`add-exp-log_binary64`
13×	`prod-exp_binary64`
12×	`add-cbrt-cube_binary64`

Counts

3 → 83

Calls

3 calls:

4.0ms	(.f64 1/3 (.f64 (pow.f64 y 3) z))
4.0ms	(*.f64 (pow.f64 y 3) z)
4.0ms	(*.f64 (pow.f64 y 2) z)

simplify64.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

494×	`associate-/l/_binary64`
409×	`*-commutative_binary64`
346×	`sqr-pow_binary64`
283×	`associate-+l+_binary64`
275×	`fma-def_binary64`

Counts

83 → 121

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	116	978
1	234	826
2	827	801
3	1491	801
4	3091	801
5	4931	801

prune196.0ms (2.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	152	8	160

Error

0.0b

Counts

160 → 8

Alt Table

Status	Error	Program
✓	0.3b	(-.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y z) (.f64 1/3 (.f64 (pow.f64 y 3) z))))) t)
	31.9b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))) t)
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))) t)
▶	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)
	32.4b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (sqrt.f64 (.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)))) t)
	28.5b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) 3)) t)
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (.f64 (log.f64 y) x)) (cbrt.f64 (.f64 (log.f64 y) x))) (cbrt.f64 (*.f64 (log.f64 y) x)))) t)
	42.8b	(cbrt.f64 (.f64 (.f64 (-.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))) t) (-.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))) t)) (-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)))

Compiler

Compiled 5147 to 2829 computations (45% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (cbrt.f64 (log.f64 y)) x)
✓	0.4b	(.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))
✓	0.5b	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
✓	0.5b	(cbrt.f64 (log.f64 y))

series1.4s (17.1%)

Counts

4 → 72

Calls

4 calls:

636.0ms	(*.f64 (cbrt.f64 (log.f64 y)) x)
309.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
302.0ms	(cbrt.f64 (log.f64 y))
184.0ms	(.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`cbrt-prod_binary64`
33×	`pow1_binary64`
28×	`add-sqr-sqrt_binary64`
20×	`add-exp-log_binary64`
18×	`*-un-lft-identity_binary64`

Counts

4 → 110

Calls

4 calls:

7.0ms	(.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (*.f64 (cbrt.f64 (log.f64 y)) x))
5.0ms	(*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))
3.0ms	(*.f64 (cbrt.f64 (log.f64 y)) x)
1.0ms	(cbrt.f64 (log.f64 y))

simplify116.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

429×	`distribute-rgt-neg-out_binary64`
388×	`neg-mul-1_binary64`
383×	`log-prod_binary64`
357×	`distribute-lft-neg-out_binary64`
338×	`exp-prod_binary64`

Counts

182 → 140

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	118	1722
1	233	1527
2	728	1477
3	1453	1459
4	3867	1333
5	4882	1333
6	4884	1333

prune173.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	172	4	176
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	176	8	184

Error

0.0b

Counts

184 → 8

Alt Table

Status	Error	Program
	0.4b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (cbrt.f64 (pow.f64 (log.f64 y) 2)) (.f64 (cbrt.f64 (log.f64 y)) x))) t)
✓	0.3b	(-.f64 (-.f64 (.f64 (log.f64 y) x) (+.f64 (.f64 1/2 (.f64 (pow.f64 y 2) z)) (+.f64 (.f64 y z) (.f64 1/3 (.f64 (pow.f64 y 3) z))))) t)
	31.9b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (sqrt.f64 x)) (sqrt.f64 x))) t)
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (log.f64 y) (*.f64 (cbrt.f64 x) (cbrt.f64 x))) (cbrt.f64 x))) t)
	32.4b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (sqrt.f64 (.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x)))) t)
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (expm1.f64 (log1p.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))))) (*.f64 (cbrt.f64 (log.f64 y)) x))) t)
	0.6b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y))) (.f64 (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (cbrt.f64 (log.f64 y)))) x))) t)
	0.4b	(-.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (pow.f64 (pow.f64 (log.f64 y) 2) 1/3) (.f64 (cbrt.f64 (log.f64 y)) x))) t)

Compiler

Compiled 4508 to 1117 computations (75.2% saved)

regimes737.0ms (8.8%)

Accuracy

Total 0.1b remaining (73.3%)

Threshold costs 0.1b (73.3%)

Counts

107 → 1

Compiler

Compiled 13430 to 8295 computations (38.2% saved)

simplify70.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
3×	`*-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	13	17
1	21	17
2	26	17
3	29	17
4	30	17
5	29	17

end168.0ms (2%)

Compiler: Compiled 228 to 140 computations (38.6% saved)

Details

analyze832.0ms (9.9%)

sample2.5s (29.8%)

simplify53.0ms (0.6%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series658.0ms (7.9%)

rewrite138.0ms (1.7%)

simplify128.0ms (1.5%)

prune127.0ms (1.5%)

localize9.0ms (0.1%)

series607.0ms (7.3%)

rewrite13.0ms (0.2%)

simplify98.0ms (1.2%)

prune115.0ms (1.4%)

localize17.0ms (0.2%)

series53.0ms (0.6%)

rewrite16.0ms (0.2%)

simplify64.0ms (0.8%)

prune196.0ms (2.3%)

localize13.0ms (0.2%)

series1.4s (17.1%)

rewrite22.0ms (0.3%)

simplify116.0ms (1.4%)

prune173.0ms (2.1%)

regimes737.0ms (8.8%)

simplify70.0ms (0.8%)

end168.0ms (2%)

Profiling