Details

analyze1.2s (0.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	90.4%	9.6%	9
0%	45.2%	54.8%	10
0%	45.2%	54.8%	11
0%	45.2%	54.8%	12
0%	45.2%	54.8%	13
0%	44.4%	55.6%	14

Compiler

Compiled 25 to 18 computations (28% saved)

sample5.2s (3.4%)

Results

3.1s	16436×	body	128	invalid
1.5s	7573×	body	128	valid
163.0ms	312×	body	512	valid
107.0ms	119×	body	1024	valid
91.0ms	251×	body	256	valid
62.0ms	117×	body	512	invalid
51.0ms	136×	body	256	invalid
35.0ms	40×	body	1024	invalid
1.0ms	1×	body	2048	valid

Compiler

Compiled 74 to 53 computations (28.4% saved)

simplify53.0ms (0%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary64`
557×	`associate-/l*_binary64`
456×	`unswap-sqr_binary64`
365×	`*-commutative_binary64`
332×	`fma-neg_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	26
1	34	25
2	73	25
3	158	25
4	405	25
5	1252	25
6	2771	25
7	4527	25
8	5117	25

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

0.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.3b	(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))

Compiler

Compiled 84 to 54 computations (35.7% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 z) t)
✓	0.0b	(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
✓	0.1b	(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))
✓	0.3b	(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))

series894.0ms (0.6%)

Counts

4 → 139

Calls

4 calls:

489.0ms	(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
316.0ms	(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
49.0ms	(-.f64 (log.f64 z) t)
39.0ms	(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))

rewrite13.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
17×	`add-cube-cbrt_binary64`
12×	`prod-diff_binary64`
11×	`pow1_binary64`

Counts

4 → 83

Calls

4 calls:

3.0ms	(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
3.0ms	(-.f64 (log.f64 z) t)
1.0ms	(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))
0.0ms	(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))

simplify143.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

686×	`fma-def_binary64`
260×	`*-commutative_binary64`
220×	`associate--r+_binary64`
184×	`associate--l+_binary64`
175×	`sub-neg_binary64`

Counts

222 → 260

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	639	10325
1	2020	9209
2	5067	9209

prune280.0ms (0.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	256	4	260
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	257	4	261

Error

0.0b

Counts

261 → 4

Alt Table

Status	Error	Program
	0.3b	(.f64 x (pow.f64 (exp.f64 (.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))
	11.0b	(.f64 x (exp.f64 (+.f64 (.f64 a (log1p.f64 (neg.f64 z))) (*.f64 y (-.f64 (log.f64 z) t)))))
	0.8b	(.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (.f64 (cbrt.f64 x) (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))
▶	0.3b	(.f64 x (pow.f64 (E.f64) (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))

Compiler

Compiled 12643 to 4846 computations (61.7% saved)

localize14.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (pow.f64 (E.f64) (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
	0.0b	(-.f64 (log.f64 z) t)
✓	0.1b	(pow.f64 (E.f64) (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))
	0.3b	(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))

series709.0ms (0.5%)

Counts

2 → 132

Calls

2 calls:

661.0ms	(.f64 x (pow.f64 (E.f64) (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
47.0ms	(pow.f64 (E.f64) (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
9×	`add-exp-log_binary64`
8×	`associate-r_binary64`
7×	`*-un-lft-identity_binary64`
7×	`unpow-prod-down_binary64`

Counts

2 → 50

Calls

2 calls:

4.0ms	(.f64 x (pow.f64 (E.f64) (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
1.0ms	(pow.f64 (E.f64) (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))

simplify177.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

702×	`associate-l_binary64`
567×	`fma-def_binary64`
250×	`*-commutative_binary64`
170×	`times-frac_binary64`
169×	`cancel-sign-sub-inv_binary64`

Counts

182 → 189

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	524	10089
1	1716	9313
2	4966	9313
3	5018	9313

prune367.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	286	4	290
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	289	5	294

Error

0.0b

Counts

294 → 5

Alt Table

Status	Error	Program
	0.6b	(.f64 x (pow.f64 (E.f64) (-.f64 (.f64 (log.f64 z) y) (fma.f64 a b (fma.f64 a z (*.f64 y t))))))
	0.4b	(.f64 (.f64 x (pow.f64 (.f64 (cbrt.f64 (E.f64)) (cbrt.f64 (E.f64))) (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
▶	0.3b	(.f64 x (pow.f64 (exp.f64 (.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))
	0.3b	(.f64 x (.f64 (sqrt.f64 (pow.f64 (E.f64) (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))) (sqrt.f64 (pow.f64 (E.f64) (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))
	0.3b	(.f64 x (.f64 (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) (pow.f64 (sqrt.f64 (E.f64)) (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))

Compiler

Compiled 13955 to 4993 computations (64.2% saved)

localize18.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
	0.3b	(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
✓	0.4b	(.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
✓	11.4b	(cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))

series2.3min (93.9%)

Calls

2 calls:

6.8s

(*.f64 (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))) (cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))

388.0ms

(cbrt.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))

Details

analyze1.2s (0.8%)

sample5.2s (3.4%)

simplify53.0ms (0%)

prune3.0ms (0%)

localize13.0ms (0%)

series894.0ms (0.6%)

rewrite13.0ms (0%)

simplify143.0ms (0.1%)

prune280.0ms (0.2%)

localize14.0ms (0%)

series709.0ms (0.5%)

rewrite8.0ms (0%)

simplify177.0ms (0.1%)

prune367.0ms (0.2%)

localize18.0ms (0%)

series2.3min (93.9%)

Profiling