Details

analyze466.0ms (4%)

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	49.9%	50.1%	7
0%	49.9%	50.1%	8
0%	49.9%	50.1%	9
0%	49.9%	50.1%	10
12.5%	25%	62.6%	11
12.5%	25%	62.6%	12
12.5%	25%	62.6%	13
12.5%	25%	62.6%	14

Compiler

Compiled 18 to 13 computations (27.8% saved)

sample2.7s (22.7%)

Infinites

0.4% of outputs are infinite.

Results

837.0ms	5924×	body	128	valid
578.0ms	4100×	body	128	invalid
446.0ms	690×	body	1024	valid
357.0ms	923×	body	512	valid
170.0ms	704×	body	256	valid
12.0ms	15×	body	2048	valid

Compiler

Compiled 53 to 38 computations (28.3% saved)

simplify58.0ms (0.5%)

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)

localize11.0ms (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))))

series642.0ms (5.5%)

Counts

3 → 108

Calls

3 calls:

244.0ms	(*.f64 z (log1p.f64 (neg.f64 y)))
232.0ms	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
165.0ms	(fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))

rewrite9.0ms (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))))

simplify143.0ms (1.2%)

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

prune98.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	165	4	169
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	165	5	170

Error

0.1b

Counts

170 → 5

Alt Table

Status	Error	Program
▶	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)
	29.1b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) 3)) t)
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) t)
	44.3b	(/.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))))
	34.1b	(-.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)

Compiler

Compiled 3764 to 1329 computations (64.7% saved)

localize13.0ms (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))))))
✓	0.8b	(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))

series945.0ms (8%)

Counts

3 → 108

Calls

3 calls:

687.0ms

(*.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))))))

162.0ms

(*.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))))))

95.0ms

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

rewrite20.0ms (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:

7.0ms

(*.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)))))

simplify214.0ms (1.8%)

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

prune1.1s (9.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	609	5	614
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	610	9	619

Error

0.0b

Counts

619 → 9

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) 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)))))))) (.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)
	34.3b	(-.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 (sqrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) (sqrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))))) t)
	0.9b	(-.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)
	34.1b	(-.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)
	29.1b	(-.f64 (cbrt.f64 (pow.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)) 3)) t)
▶	0.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))) t)
	34.4b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y))))) (.f64 (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)))))))) (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))) t)
	44.3b	(/.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))))

Compiler

Compiled 44710 to 19485 computations (56.4% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)))))
✓	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))
✓	0.8b	(cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)))
	0.8b	(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))

series930.0ms (7.9%)

Counts

3 → 108

Calls

3 calls:

731.0ms

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

102.0ms

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

96.0ms

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

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 40

Calls

3 calls:

3.0ms

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

1.0ms

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

1.0ms

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

simplify249.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

489×	`*-commutative_binary64`
234×	`cancel-sign-sub-inv_binary64`
230×	`associate-r_binary64`
219×	`sqr-pow_binary64`
197×	`+-commutative_binary64`

Counts

148 → 249

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1139	16673
1	3930	16349
2	4994	16349

prune1.0s (8.9%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	587	3	590
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	588	11	599

Error

0.0b

Counts

599 → 11

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) 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)))))))) (.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)
▶	0.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))) t)
	34.3b	(-.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 (sqrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) (sqrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))))) t)
	0.9b	(-.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)
	34.1b	(-.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 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))) t)
	29.1b	(-.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 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))))) (cbrt.f64 (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 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))) t)
	44.3b	(/.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))))

Compiler

Compiled 68720 to 27850 computations (59.5% saved)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))
✓	0.6b	(cbrt.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x))))
	0.8b	(cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (*.f64 (log.f64 y) x)))
	0.8b	(cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))

series95.0ms (0.8%)

Counts

1 → 36

Calls

1 calls:

94.0ms

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

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 16

Calls

1 calls:

1.0ms

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

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

395×	`unswap-sqr_binary64`
354×	`associate-r_binary64`
278×	`times-frac_binary64`
241×	`associate-l_binary64`
211×	`*-commutative_binary64`

Counts

52 → 85

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	318	3882
1	1026	3499
2	4190	3443
3	5438	3443

prune1.5s (12.8%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	758	1	759
Fresh	0	8	8
Picked	0	1	1
Done	0	2	2
Total	758	12	770

Error

0.0b

Counts

770 → 12

Alt Table

Status	Error	Program
✓	0.1b	(-.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))) 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)))))))) (.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)
✓	0.7b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))) t)
	34.3b	(-.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 (sqrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (.f64 z (log1p.f64 (neg.f64 y)))))) (sqrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y)))))))) t)
	0.9b	(-.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)
	34.1b	(-.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 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))))) (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))) t)
	29.1b	(-.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 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x)))) (cbrt.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))) (cbrt.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))))) (cbrt.f64 (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 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))) t)
	38.3b	(-.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))) (cbrt.f64 (fma.f64 (log1p.f64 (neg.f64 y)) z (.f64 (log.f64 y) x))))) (pow.f64 (.f64 (log.f64 y) x) 1/9)))))) (cbrt.f64 (cbrt.f64 (fma.f64 x (log.f64 y) (*.f64 z (log1p.f64 (neg.f64 y))))))) t)
	44.3b	(/.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))))

Compiler

Compiled 97197 to 29662 computations (69.5% saved)

regimes1.2s (10.2%)

Accuracy

Total 0.1b remaining (54.7%)

Threshold costs 0.1b (54.7%)

Counts

128 → 1

Compiler

Compiled 35816 to 13443 computations (62.5% saved)

simplify5.0ms (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

end202.0ms (1.7%)

Compiler: Compiled 772 to 239 computations (69% saved)

Details

analyze466.0ms (4%)

sample2.7s (22.7%)

simplify58.0ms (0.5%)

prune3.0ms (0%)

localize11.0ms (0.1%)

series642.0ms (5.5%)

rewrite9.0ms (0.1%)

simplify143.0ms (1.2%)

prune98.0ms (0.8%)

localize13.0ms (0.1%)

series945.0ms (8%)

rewrite20.0ms (0.2%)

simplify214.0ms (1.8%)

prune1.1s (9.2%)

localize25.0ms (0.2%)

series930.0ms (7.9%)

rewrite7.0ms (0.1%)

simplify249.0ms (2.1%)

prune1.0s (8.9%)

localize29.0ms (0.2%)

series95.0ms (0.8%)

rewrite2.0ms (0%)

simplify99.0ms (0.8%)

prune1.5s (12.8%)

regimes1.2s (10.2%)

simplify5.0ms (0%)

end202.0ms (1.7%)

Profiling