Details

analyze1.3s (4.2%)

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)

sample5.7s (19%)

Results

3.4s	16593×	body	128	invalid
1.6s	7579×	body	128	valid
165.0ms	297×	body	512	valid
124.0ms	126×	body	1024	valid
101.0ms	254×	body	256	valid
66.0ms	126×	body	512	invalid
50.0ms	53×	body	1024	invalid
43.0ms	126×	body	256	invalid

Compiler

Compiled 74 to 53 computations (28.4% saved)

simplify54.0ms (0.2%)

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

prune4.0ms (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 a (-.f64 (log1p.f64 (neg.f64 z)) b))
✓	0.0b	(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))
✓	0.1b	(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
✓	0.3b	(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))

series1.0s (3.4%)

Counts

4 → 164

Calls

4 calls:

492.0ms	(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
277.0ms	(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
226.0ms	(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
37.0ms	(exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))

rewrite17.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
25×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`
18×	`prod-diff_binary64`
13×	`distribute-lft-in_binary64`

Counts

4 → 95

Calls

4 calls:

5.0ms	(*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))
4.0ms	(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
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)))

simplify230.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

789×	`fma-def_binary64`
292×	`*-commutative_binary64`
185×	`sub-neg_binary64`
182×	`times-frac_binary64`
175×	`associate-r_binary64`

Counts

259 → 296

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	713	11258
1	2189	10188
2	4843	10188
3	4989	10188

prune351.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	293	3	296
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	293	4	297

Error

0.1b

Counts

297 → 4

Alt Table

Status	Error	Program
▶	0.3b	(.f64 x (.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))) (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))) (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))
✓	0.3b	(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
	35.8b	(exp.f64 (+.f64 (log.f64 x) (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
	15.5b	(.f64 x (/.f64 (pow.f64 z y) (exp.f64 (fma.f64 y t (.f64 a b)))))

Compiler

Compiled 13822 to 5229 computations (62.2% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series3.0s (10%)

Counts

3 → 192

Calls

3 calls:

1.4s

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

1.1s

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

522.0ms

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

rewrite34.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
21×	`add-sqr-sqrt_binary64`
19×	`pow1_binary64`
14×	`add-exp-log_binary64`
13×	`*-un-lft-identity_binary64`

Counts

3 → 82

Calls

3 calls:

17.0ms

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

6.0ms

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

1.0ms

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

simplify423.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

859×	`fma-def_binary64`
371×	`*-commutative_binary64`
262×	`cancel-sign-sub-inv_binary64`
234×	`associate-r_binary64`
218×	`times-frac_binary64`

Counts

274 → 274

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	777	17271
1	2593	16104
2	4796	15626
3	4976	15626

prune804.0ms (2.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	586	1	587
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	587	4	591

Error

0.1b

Counts

591 → 4

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)))))
	35.8b	(exp.f64 (+.f64 (log.f64 x) (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
▶	0.3b	(.f64 x (.f64 (exp.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))) (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))
	15.5b	(.f64 x (/.f64 (pow.f64 z y) (exp.f64 (fma.f64 y t (.f64 a b)))))

Compiler

Compiled 48125 to 14764 computations (69.3% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
✓	0.3b	(.f64 x (.f64 (exp.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))) (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))
	0.3b	(cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
✓	2.8b	(log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))

series14.2s (47.3%)

Counts

2 → 132

Calls

2 calls:

13.8s

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

456.0ms

(*.f64 x (*.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))) (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))

rewrite58.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

8×	`pow1_binary64`
7×	`add-exp-log_binary64`
7×	`log-prod_binary64`
6×	`add-cbrt-cube_binary64`
5×	`*-un-lft-identity_binary64`

Counts

2 → 39

Calls

2 calls:

54.0ms

(*.f64 x (*.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))) (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))

2.0ms

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

simplify174.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

662×	`associate-r_binary64`
518×	`fma-neg_binary64`
501×	`fma-def_binary64`
492×	`associate-l_binary64`
167×	`*-commutative_binary64`

Counts

171 → 147

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	425	8542
1	1432	7299
2	4885	7299
3	5298	7299

prune672.0ms (2.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	404	1	405
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	405	4	409

Error

0.0b

Counts

409 → 4

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)))))
▶	0.3b	(.f64 x (.f64 (exp.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))) (exp.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))))
	35.8b	(exp.f64 (+.f64 (log.f64 x) (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
	15.5b	(.f64 x (/.f64 (pow.f64 z y) (exp.f64 (fma.f64 y t (.f64 a b)))))

Compiler

Compiled 27451 to 10221 computations (62.8% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))
✓	0.3b	(.f64 x (.f64 (exp.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))) (exp.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))))
	0.3b	(cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
	2.8b	(log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))

series461.0ms (1.5%)

Counts

1 → 72

Calls

1 calls:

460.0ms

(*.f64 x (*.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))) (exp.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))))

rewrite16.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`add-exp-log_binary64`
3×	`associate-l_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

14.0ms

(*.f64 x (*.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))) (exp.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))))

simplify121.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

628×	`associate-r_binary64`
458×	`associate-l_binary64`
423×	`fma-neg_binary64`
321×	`*-commutative_binary64`
321×	`fma-def_binary64`

Counts

92 → 88

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	314	5476
1	1106	4742
2	4525	4742
3	5082	4742

prune700.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	461	1	462
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	462	4	466

Error

0.0b

Counts

466 → 4

Alt Table

Status	Error	Program
	0.7b	(.f64 (.f64 (cbrt.f64 (.f64 x (.f64 (exp.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))) (exp.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))))) (cbrt.f64 (.f64 x (.f64 (exp.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))) (exp.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b))))))))))) (cbrt.f64 (.f64 x (.f64 (exp.f64 (.f64 2 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))) (exp.f64 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))))))))
	15.5b	(.f64 x (/.f64 (pow.f64 z y) (exp.f64 (fma.f64 y t (.f64 a b)))))
✓	0.3b	(.f64 x (exp.f64 (fma.f64 y (-.f64 (log.f64 z) t) (.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))
	35.8b	(exp.f64 (+.f64 (log.f64 x) (fma.f64 y (-.f64 (log.f64 z) t) (*.f64 a (-.f64 (log1p.f64 (neg.f64 z)) b)))))

Compiler

Compiled 31011 to 11251 computations (63.7% saved)

regimes561.0ms (1.9%)

Accuracy

Total 0.0b remaining (9.7%)

Threshold costs 0.0b (9.7%)

Counts

56 → 1

Compiler

Compiled 16328 to 8718 computations (46.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary64`
8×	`+-commutative_binary64`
7×	`sub-neg_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	23
1	29	23
2	45	23
3	58	23
4	64	23
5	65	23
6	65	23

end99.0ms (0.3%)

Compiler: Compiled 234 to 108 computations (53.8% saved)

Details

analyze1.3s (4.2%)

sample5.7s (19%)

simplify54.0ms (0.2%)

prune4.0ms (0%)

localize13.0ms (0%)

series1.0s (3.4%)

rewrite17.0ms (0.1%)

simplify230.0ms (0.8%)

prune351.0ms (1.2%)

localize17.0ms (0.1%)

series3.0s (10%)

rewrite34.0ms (0.1%)

simplify423.0ms (1.4%)

prune804.0ms (2.7%)

localize20.0ms (0.1%)

series14.2s (47.3%)

rewrite58.0ms (0.2%)

simplify174.0ms (0.6%)

prune672.0ms (2.2%)

localize20.0ms (0.1%)

series461.0ms (1.5%)

rewrite16.0ms (0.1%)

simplify121.0ms (0.4%)

prune700.0ms (2.3%)

regimes561.0ms (1.9%)

simplify3.0ms (0%)

end99.0ms (0.3%)

Profiling