Details

analyze423.0ms (3.3%)

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
6%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample278.0ms (2.2%)

Algorithm

1×

intervals

Results

18.0ms	187×	body	128	valid
11.0ms	21×	body	1024	valid
6.0ms	20×	body	512	valid
4.0ms	26×	body	256	valid
1.0ms	2×	body	2048	valid
0.0ms	6×	body	128	nan

Compiler

Compiled 39 to 29 computations (25.6% saved)

simplify56.0ms (0.4%)

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

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

0.1b

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 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f64 (neg.f64 y))
✓	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))))

series738.0ms (5.8%)

Counts

4 → 120

Calls

4 calls:

292.0ms	(*.f64 z (log1p.f64 (neg.f64 y)))
265.0ms	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
178.0ms	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
3.0ms	(log1p.f64 (neg.f64 y))

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`
9×	`prod-diff_binary64`
6×	`add-cbrt-cube_binary64`

Counts

4 → 72

Calls

4 calls:

5.0ms	(*.f64 z (log1p.f64 (neg.f64 y)))
3.0ms	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
0.0ms	(log1p.f64 (neg.f64 y))
0.0ms	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

simplify133.0ms (1%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-neg_binary64`
460×	`distribute-neg-in_binary64`
415×	`distribute-rgt-in_binary64`
322×	`sub-neg_binary64`
284×	`cancel-sign-sub-inv_binary64`

Counts

192 → 206

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	273	3374
1	748	3098
2	2463	3017
3	4666	3015
4	5151	3015

prune130.0ms (1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	202	4	206
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	202	5	207

Error

0.1b

Counts

207 → 5

Alt Table

Status	Error	Program
	21.4b	(-.f64 (fma.f64 x (log.f64 y) (cbrt.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (*.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 y))) (log1p.f64 (neg.f64 y)))))) t)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	30.1b	(-.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)
	30.2b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) 3)) t)

Compiler

Compiled 4388 to 1664 computations (62.1% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))
✓	0.3b	(.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))))))
✓	0.5b	(.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))))))
✓	0.6b	(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))

series1.2s (9.6%)

Counts

3 → 108

Calls

3 calls:

926.0ms

(*.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))))))

182.0ms

(*.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))))))

111.0ms

(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))

rewrite23.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary64`
24×	`add-sqr-sqrt_binary64`
23×	`cbrt-prod_binary64`
16×	`pow1/3_binary64`
14×	`*-un-lft-identity_binary64`

Counts

3 → 93

Calls

3 calls:

6.0ms

(*.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))))))

4.0ms

(*.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))))))

2.0ms

(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))

simplify236.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

949×	`fma-def_binary64`
422×	`*-commutative_binary64`
200×	`associate-r_binary64`
184×	`cancel-sign-sub-inv_binary64`
179×	`+-commutative_binary64`

Counts

201 → 298

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	980	14963
1	3360	14318
2	5018	14318

prune985.0ms (7.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	608	6	614
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	609	10	619

Error

0.0b

Counts

619 → 10

Alt Table

Status	Error	Program
	21.4b	(-.f64 (fma.f64 x (log.f64 y) (cbrt.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (*.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 y))) (log1p.f64 (neg.f64 y)))))) 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 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (cbrt.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 (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)
	1.0b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))))) (cbrt.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)))))) t)
	30.1b	(-.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)
	30.2b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) 3)) t)
	1.0b	(-.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)))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))))) t)
	1.0b	(-.f64 (.f64 (.f64 (.f64 (cbrt.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 (.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 (.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)
	1.0b	(-.f64 (.f64 (.f64 (.f64 (cbrt.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 (.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)))))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) (cbrt.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)))))) t)
	0.9b	(-.f64 (.f64 (.f64 (cbrt.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))))))) (cbrt.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)))))))) (cbrt.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)

Compiler

Compiled 44962 to 19500 computations (56.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(.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))))))
✓	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))
✓	0.6b	(cbrt.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)))))))
	0.6b	(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))

series790.0ms (6.2%)

Counts

2 → 72

Calls

2 calls:

688.0ms

(cbrt.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)))))))

101.0ms

(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`cbrt-prod_binary64`
4×	`*-un-lft-identity_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 27

Calls

2 calls:

3.0ms

(cbrt.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)))))))

1.0ms

(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))

simplify267.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-def_binary64`
408×	`*-commutative_binary64`
191×	`associate-r_binary64`
173×	`sqr-pow_binary64`
162×	`cancel-sign-sub-inv_binary64`

Counts

99 → 184

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	937	13010
1	3188	12515
2	4997	12515
3	4955	12515

prune1.6s (12.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	773	3	776
Fresh	2	6	8
Picked	1	0	1
Done	0	1	1
Total	776	10	786

Error

0.0b

Counts

786 → 10

Alt Table

Status	Error	Program
	21.4b	(-.f64 (fma.f64 x (log.f64 y) (cbrt.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (*.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 y))) (log1p.f64 (neg.f64 y)))))) t)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	1.1b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (.f64 (.f64 (cbrt.f64 (cbrt.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 (cbrt.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 (cbrt.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 (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)
	30.1b	(-.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)
▶	0.9b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (cbrt.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 (cbrt.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))))))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	0.9b	(-.f64 (.f64 (.f64 (cbrt.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))))))) (cbrt.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)))))))) (cbrt.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)
	1.0b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))))) (cbrt.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)))))) t)
	30.2b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) 3)) t)
	1.0b	(-.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)))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))))) t)
	30.9b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (cbrt.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 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)

Compiler

Compiled 90201 to 36905 computations (59.1% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(cbrt.f64 (cbrt.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))))))))
	0.6b	(cbrt.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)))))))
	0.6b	(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))
✓	0.6b	(cbrt.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)))))))

series209.0ms (1.6%)

Counts

2 → 72

Calls

2 calls:

105.0ms

(cbrt.f64 (cbrt.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))))))))

103.0ms

(cbrt.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)))))))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-prod_binary64`
3×	`*-un-lft-identity_binary64`
3×	`add-sqr-sqrt_binary64`
3×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 26

Calls

2 calls:

8.0ms

(cbrt.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)))))))

1.0ms

(cbrt.f64 (cbrt.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))))))))

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Rules

464×	`times-frac_binary64`
392×	`fma-def_binary64`
348×	`associate-/r*_binary64`
280×	`associate-/l*_binary64`
195×	`associate-*r/_binary64`

Counts

98 → 181

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	517	7433
1	1773	6727
2	5114	6727

prune1.7s (13.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	913	1	914
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	913	11	924

Error

0.0b

Counts

924 → 11

Alt Table

Status	Error	Program
	21.4b	(-.f64 (fma.f64 x (log.f64 y) (cbrt.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (*.f64 (log1p.f64 (neg.f64 y)) (log1p.f64 (neg.f64 y))) (log1p.f64 (neg.f64 y)))))) t)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	1.1b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (.f64 (.f64 (cbrt.f64 (cbrt.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 (cbrt.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 (cbrt.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 (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)
	30.1b	(-.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)
	30.6b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (cbrt.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 (cbrt.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)))))) (pow.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))) 1/3))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	30.2b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) 3)) t)
✓	0.9b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (cbrt.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 (cbrt.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))))))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	0.9b	(-.f64 (.f64 (.f64 (cbrt.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))))))) (cbrt.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)))))))) (cbrt.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)
	1.0b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))))) (cbrt.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)))))) t)
	1.0b	(-.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)))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))))) t)
	30.9b	(-.f64 (.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (cbrt.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 (exp.f64 (log.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)

Compiler

Compiled 116062 to 38007 computations (67.3% saved)

regimes1.7s (13.5%)

Accuracy

Total 0.1b remaining (50%)

Threshold costs 0.1b (50%)

Counts

172 → 1

Compiler

Compiled 53738 to 19059 computations (64.5% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-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	20	17
2	25	17
3	28	17
4	29	17
5	29	17

end0.0ms (0%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

sample1.9s (15.3%)

Algorithm

1×

intervals

Results

540.0ms	5747×	body	128	valid
367.0ms	685×	body	1024	valid
286.0ms	820×	body	512	valid
160.0ms	728×	body	256	valid
32.0ms	294×	body	128	nan
21.0ms	20×	body	2048	valid
5.0ms	34×	body	128	invalid

Compiler

Compiled 704 to 207 computations (70.6% saved)

Details

analyze423.0ms (3.3%)

sample278.0ms (2.2%)

simplify56.0ms (0.4%)

prune4.0ms (0%)

localize9.0ms (0.1%)

series738.0ms (5.8%)

rewrite12.0ms (0.1%)

simplify133.0ms (1%)

prune130.0ms (1%)

localize15.0ms (0.1%)

series1.2s (9.6%)

rewrite23.0ms (0.2%)

simplify236.0ms (1.9%)

prune985.0ms (7.8%)

localize18.0ms (0.1%)

series790.0ms (6.2%)

rewrite6.0ms (0%)

simplify267.0ms (2.1%)

prune1.6s (12.6%)

localize20.0ms (0.2%)

series209.0ms (1.6%)

rewrite11.0ms (0.1%)

simplify127.0ms (1%)

prune1.7s (13.6%)

regimes1.7s (13.5%)

simplify5.0ms (0%)

end0.0ms (0%)

sample1.9s (15.3%)

Profiling