Details

analyze440.0ms (3.2%)

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)

sample2.9s (21.1%)

Results

1.3s	6066×	body	128	valid
575.0ms	680×	body	1024	valid
415.0ms	825×	body	512	valid
289.0ms	670×	body	256	valid
46.0ms	275×	body	128	invalid
14.0ms	15×	body	2048	valid

Compiler

Compiled 53 to 38 computations (28.3% saved)

simplify59.0ms (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

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))))

series709.0ms (5.2%)

Counts

3 → 108

Calls

3 calls:

282.0ms	(*.f64 z (log1p.f64 (neg.f64 y)))
252.0ms	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
174.0ms	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

rewrite17.0ms (0.1%)

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:

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

simplify137.0ms (1%)

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

prune113.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	164	5	169
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	164	6	170

Error

0.1b

Counts

170 → 6

Alt Table

Status	Error	Program
	44.1b	(/.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))) 3) (pow.f64 t 3)) (+.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))))) (+.f64 (.f64 t t) (.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t))))
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	32.3b	(-.f64 (fma.f64 x (log.f64 y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (log1p.f64 (neg.f64 y))))) t)
	33.9b	(-.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)
▶	0.7b	(-.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)
	30.0b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) 3)) t)

Compiler

Compiled 3802 to 1353 computations (64.4% 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	(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))))))

series1.1s (8%)

Counts

3 → 108

Calls

3 calls:

785.0ms

(*.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))))))

203.0ms

(*.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))))))

103.0ms

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

rewrite21.0ms (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))))))

1.0ms

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

simplify234.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

949×	`fma-def_binary64`
421×	`*-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	14983
1	3360	14318
2	5018	14318

prune923.0ms (6.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	607	7	614
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	607	13	620

Error

0.0b

Counts

620 → 13

Alt Table

Status	Error	Program
	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)
	32.3b	(-.f64 (fma.f64 x (log.f64 y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (log1p.f64 (neg.f64 y))))) t)
	27.5b	(-.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) t)
	44.1b	(/.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))) 3) (pow.f64 t 3)) (+.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))))) (+.f64 (.f64 t t) (.f64 (fma.f64 x (log.f64 y) (*.f64 z (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 (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 (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)
	1.3b	(-.f64 (.f64 (.f64 (.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))))))) (.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)))))))) (.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)
	33.9b	(-.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)
✓	0.7b	(-.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)
	30.0b	(-.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 (.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)
	34.1b	(-.f64 (.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 (sqrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))) t)
	0.8b	(-.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 45124 to 19598 computations (56.6% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(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 (.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))))))

series1.1s (7.7%)

Counts

2 → 72

Calls

2 calls:

756.0ms

(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)))))))

296.0ms

(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))))))

simplify535.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

897×	`fma-def_binary64`
409×	`*-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

prune1.9s (13.6%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	772	4	776
Fresh	1	9	10
Picked	1	0	1
Done	0	2	2
Total	774	15	789

Error

0.0b

Counts

789 → 15

Alt Table

Status	Error	Program
	34.6b	(-.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))))))) (.f64 (pow.f64 (cbrt.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))))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	27.5b	(-.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) t)
	32.3b	(-.f64 (fma.f64 x (log.f64 y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (log1p.f64 (neg.f64 y))))) t)
▶	0.8b	(-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) 2)) (.f64 (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))))))) (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)
	34.5b	(-.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))))))) (.f64 (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))))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
✓	0.7b	(-.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)
	44.1b	(/.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))) 3) (pow.f64 t 3)) (+.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))))) (+.f64 (.f64 t t) (.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t))))
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	1.0b	(-.f64 (.f64 (.f64 (.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))))))))) (.f64 (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))))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	33.9b	(-.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)
	30.0b	(-.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 (.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)
	34.1b	(-.f64 (.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 (sqrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))) t)
	0.8b	(-.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 90591 to 36861 computations (59.3% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))
✓	0.5b	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))) 2)
✓	0.6b	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))) 2))
	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))

series912.0ms (6.7%)

Counts

2 → 72

Calls

2 calls:

736.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))) 2))
175.0ms	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))) 2)

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`cbrt-prod_binary64`
12×	`unpow-prod-down_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`add-cube-cbrt_binary64`

Counts

2 → 45

Calls

2 calls:

2.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))) 2))
2.0ms	(pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))) 2)

simplify259.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

928×	`fma-def_binary64`
399×	`*-commutative_binary64`
189×	`associate-r_binary64`
181×	`sqr-pow_binary64`
173×	`cancel-sign-sub-inv_binary64`

Counts

117 → 214

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	936	13448
1	3194	12912
2	4978	12912
3	4965	12912

prune1.5s (10.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	673	4	677
Fresh	4	8	12
Picked	0	1	1
Done	0	2	2
Total	677	15	692

Error

0.0b

Counts

692 → 15

Alt Table

Status	Error	Program
	27.5b	(-.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (log.f64 y) 2) (.f64 x x))) (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) t)
	34.6b	(-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) 2)) (.f64 (pow.f64 (cbrt.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))))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	44.1b	(/.f64 (-.f64 (pow.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))) 3) (pow.f64 t 3)) (+.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))))) (+.f64 (.f64 t t) (.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t))))
	1.0b	(-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) 2)) (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 (neg.f64 y)) z))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 (neg.f64 y)) z)))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log.f64 y) x (.f64 (log1p.f64 (neg.f64 y)) z)))))) (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)
	32.3b	(-.f64 (fma.f64 x (log.f64 y) (.f64 (sqrt.f64 z) (.f64 (sqrt.f64 z) (log1p.f64 (neg.f64 y))))) t)
✓	0.8b	(-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) 2)) (.f64 (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))))))) (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)
	34.5b	(-.f64 (.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) 2)) (.f64 (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))))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	33.9b	(-.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)
✓	0.7b	(-.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)
	30.0b	(-.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 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) 2))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) 2)))) (cbrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) 2)))) (.f64 (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))))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	34.1b	(-.f64 (.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 (sqrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))))) (cbrt.f64 (sqrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))) t)
	0.8b	(-.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 68381 to 29940 computations (56.2% saved)

regimes580.0ms (4.3%)

Accuracy

Total 0.1b remaining (60.5%)

Threshold costs 0.1b (60.5%)

Counts

79 → 1

Compiler

Compiled 22328 to 8169 computations (63.4% saved)

simplify3.0ms (0%)

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	11	17
1	18	17
2	23	17
3	26	17
4	27	17
5	27	17

end234.0ms (1.7%)

Compiler: Compiled 775 to 278 computations (64.1% saved)

Details

analyze440.0ms (3.2%)

sample2.9s (21.1%)

simplify59.0ms (0.4%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series709.0ms (5.2%)

rewrite17.0ms (0.1%)

simplify137.0ms (1%)

prune113.0ms (0.8%)

localize15.0ms (0.1%)

series1.1s (8%)

rewrite21.0ms (0.2%)

simplify234.0ms (1.7%)

prune923.0ms (6.8%)

localize17.0ms (0.1%)

series1.1s (7.7%)

rewrite6.0ms (0%)

simplify535.0ms (3.9%)

prune1.9s (13.6%)

localize19.0ms (0.1%)

series912.0ms (6.7%)

rewrite8.0ms (0.1%)

simplify259.0ms (1.9%)

prune1.5s (10.9%)

regimes580.0ms (4.3%)

simplify3.0ms (0%)

end234.0ms (1.7%)

Profiling