Details

analyze1.6s (2.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

Compiler

Compiled 30 to 21 computations (30% saved)

sample215.0ms (0.3%)

Algorithm

1×

intervals

Symmetry

(sort z t a)

Results

33.0ms	256×	body	128	valid
28.0ms	308×	body	128	nan
2.0ms	23×	body	128	invalid

Compiler

Compiled 67 to 49 computations (26.9% saved)

simplify79.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2664×	`associate-+l+_binary64`
1041×	`associate-+r+_binary64`
923×	`+-commutative_binary64`
750×	`fma-def_binary64`
5×	`*-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	30
1	41	26
2	109	26
3	376	26
4	1118	26
5	1592	26
6	1698	26
7	1698	26
8	1698	26
9	1698	26
10	2706	26
11	2958	26
12	2958	26
13	2910	26
14	2910	26
15	2540	26
16	2524	26

prune5.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))
	0.1b	(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (.f64 x (log.f64 y)) z) t) a) (.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))

Status

Error

Program

▶

0.1b

(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))

0.1b

(+.f64 (+.f64 (+.f64 (+.f64 (+.f64 (*.f64 x (log.f64 y)) z) t) a) (*.f64 (-.f64 b 1/2) (log.f64 c))) (*.f64 y i))

Compiler

Compiled 157 to 101 computations (35.7% saved)

localize19.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)
✓	0.0b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))
✓	0.1b	(fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))
✓	0.1b	(fma.f64 x (log.f64 y) z)

series1.8s (2.9%)

Counts

4 → 276

Calls

4 calls:

789.0ms	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))
747.0ms	(fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))
177.0ms	(+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)
108.0ms	(fma.f64 x (log.f64 y) z)

rewrite8.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`*-un-lft-identity_binary64`
9×	`add-log-exp_binary64`
5×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`distribute-lft-out_binary64`

Counts

4 → 51

Calls

4 calls:

5.0ms	(+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)
0.0ms	(fma.f64 x (log.f64 y) z)
0.0ms	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))
0.0ms	(fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))

simplify135.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

856×	`associate--l+_binary64`
642×	`fma-def_binary64`
591×	`distribute-rgt-in_binary64`
564×	`distribute-lft-in_binary64`
238×	`associate-+r+_binary64`

Counts

327 → 149

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	6904
1	527	6738
2	1686	6112
3	5359	6112

prune143.0ms (0.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	143	6	149
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	145	6	151

Error

0.0b

Counts

151 → 6

Alt Table

Status	Error	Program
▶	0.1b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a))))
	51.0b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (*.f64 (sqrt.f64 (fma.f64 x (log.f64 y) z)) (sqrt.f64 (fma.f64 x (log.f64 y) z))) t) a)))
	0.6b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) (cbrt.f64 (fma.f64 x (log.f64 y) z))) (cbrt.f64 (fma.f64 x (log.f64 y) z))) t) a)))
	30.1b	(fma.f64 y i (*.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
	54.3b	(fma.f64 y i (cbrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x z)) (+.f64 a t)) 3)))
	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))

Compiler

Compiled 3999 to 1436 computations (64.1% saved)

localize17.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a))
✓	0.0b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a))))
✓	0.1b	(fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a)))
	0.1b	(fma.f64 x (log.f64 y) z)

series1.6s (2.6%)

Counts

3 → 240

Calls

3 calls:

793.0ms

(fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a)))

665.0ms

(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a))))

169.0ms

(+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a))

rewrite6.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
3×	`distribute-lft-out_binary64`

Counts

3 → 41

Calls

3 calls:

4.0ms

(+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a))

0.0ms

(fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a)))

0.0ms

(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a))))

simplify122.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

877×	`associate--l+_binary64`
641×	`fma-def_binary64`
514×	`distribute-rgt-in_binary64`
476×	`distribute-lft-in_binary64`
242×	`associate-+r+_binary64`

Counts

281 → 128

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	6517
1	515	6382
2	1690	5774
3	5239	5774

prune146.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	150	2	152
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	152	6	158

Error

0.0b

Counts

158 → 6

Alt Table

Status	Error	Program
✓	0.1b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a))))
	30.1b	(fma.f64 y i (*.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
	54.3b	(fma.f64 y i (cbrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x z)) (+.f64 a t)) 3)))
	51.0b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (fma.f64 (sqrt.f64 (fma.f64 x (log.f64 y) z)) (sqrt.f64 (fma.f64 x (log.f64 y) z)) (+.f64 t a))))
▶	0.6b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) (cbrt.f64 (fma.f64 x (log.f64 y) z))) (cbrt.f64 (fma.f64 x (log.f64 y) z)) (+.f64 t a))))
	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))

Compiler

Compiled 4001 to 1394 computations (65.2% saved)

localize20.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 x (log.f64 y) z)
✓	0.2b	(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) (cbrt.f64 (fma.f64 x (log.f64 y) z))) (cbrt.f64 (fma.f64 x (log.f64 y) z)) (+.f64 t a))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) (cbrt.f64 (fma.f64 x (log.f64 y) z)))
✓	0.6b	(cbrt.f64 (fma.f64 x (log.f64 y) z))

series4.5s (7.1%)

Counts

3 → 132

Calls

3 calls:

3.6s

(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) (cbrt.f64 (fma.f64 x (log.f64 y) z))) (cbrt.f64 (fma.f64 x (log.f64 y) z)) (+.f64 t a))

529.0ms

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

421.0ms

(cbrt.f64 (fma.f64 x (log.f64 y) z))

rewrite9.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
12×	`*-un-lft-identity_binary64`
12×	`add-cube-cbrt_binary64`
10×	`pow1_binary64`

Counts

3 → 65

Calls

3 calls:

4.0ms

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

1.0ms

(cbrt.f64 (fma.f64 x (log.f64 y) z))

0.0ms

(fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) (cbrt.f64 (fma.f64 x (log.f64 y) z))) (cbrt.f64 (fma.f64 x (log.f64 y) z)) (+.f64 t a))

simplify193.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

387×	`cancel-sign-sub-inv_binary64`
382×	`unswap-sqr_binary64`
274×	`associate-r_binary64`
188×	`associate-l_binary64`
179×	`times-frac_binary64`

Counts

197 → 211

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	331	5953
1	993	5425
2	3411	5197
3	4884	5065
4	4980	5065
5	4975	5065

prune401.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	416	1	417
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	416	7	423

Error

0.0b

Counts

423 → 7

Alt Table

Status	Error	Program
	39.7b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) (cbrt.f64 (fma.f64 x (log.f64 y) z))) (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 y) x z)))) (+.f64 t a))))
✓	0.1b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a))))
	30.1b	(fma.f64 y i (*.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
	54.3b	(fma.f64 y i (cbrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x z)) (+.f64 a t)) 3)))
	51.0b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (fma.f64 (sqrt.f64 (fma.f64 x (log.f64 y) z)) (sqrt.f64 (fma.f64 x (log.f64 y) z)) (+.f64 t a))))
✓	0.6b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) (cbrt.f64 (fma.f64 x (log.f64 y) z))) (cbrt.f64 (fma.f64 x (log.f64 y) z)) (+.f64 t a))))
▶	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))

Compiler

Compiled 19730 to 7052 computations (64.3% saved)

localize21.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(fma.f64 x (log.f64 y) z)
✓	0.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
✓	0.5b	(*.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
✓	0.5b	(cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))

series35.9s (56.4%)

Counts

3 → 288

Calls

3 calls:

25.2s

(*.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))

9.9s

(cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))

756.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))

rewrite36.0ms (0.1%)

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:

9.0ms

(*.f64 (*.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))

5.0ms

(*.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))

1.0ms

(cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))

simplify1.5s (2.3%)

Algorithm

1×	egg-herbie

Counts

381 → 274

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17819	250772

prune10.3s (16.2%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	542	2	544
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	542	9	551

Error

0.0b

Counts

551 → 9

Alt Table

Status	Error	Program
	1.4b	(.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))) (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
	54.3b	(fma.f64 y i (cbrt.f64 (pow.f64 (+.f64 (fma.f64 (log.f64 c) (-.f64 b 1/2) (fma.f64 (log.f64 y) x z)) (+.f64 a t)) 3)))
	39.7b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) (cbrt.f64 (fma.f64 x (log.f64 y) z))) (cbrt.f64 (expm1.f64 (log1p.f64 (fma.f64 (log.f64 y) x z)))) (+.f64 t a))))
✓	0.1b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (fma.f64 x (log.f64 y) z) (+.f64 t a))))
	30.1b	(fma.f64 y i (*.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
	51.0b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (fma.f64 (sqrt.f64 (fma.f64 x (log.f64 y) z)) (sqrt.f64 (fma.f64 x (log.f64 y) z)) (+.f64 t a))))
✓	0.6b	(fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (fma.f64 (*.f64 (cbrt.f64 (fma.f64 x (log.f64 y) z)) (cbrt.f64 (fma.f64 x (log.f64 y) z))) (cbrt.f64 (fma.f64 x (log.f64 y) z)) (+.f64 t a))))
	1.6b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))))) (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
✓	1.3b	(.f64 (.f64 (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (fma.f64 y i (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))

Compiler

Compiled 291067 to 176610 computations (39.3% saved)

regimes1.7s (2.6%)

Accuracy

Total 0.0b remaining (40.5%)

Threshold costs 0.0b (40.5%)

Counts

120 → 1

Compiler

Compiled 49491 to 29522 computations (40.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-commutative_binary64`
1×	`sub-neg_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	26
1	27	26
2	28	26
3	26	26

end15.0ms (0%)

Remove: (sort z t a)
Compiler: Compiled 78 to 51 computations (34.6% saved)

sample3.1s (4.9%)

Algorithm

1×

intervals

Results

926.0ms	9966×	body	128	nan
843.0ms	7996×	body	128	valid
127.0ms	1205×	body	128	invalid
1.0ms	3×	body	256	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 604 to 297 computations (50.8% saved)

Details

analyze1.6s (2.5%)

sample215.0ms (0.3%)

simplify79.0ms (0.1%)

prune5.0ms (0%)

localize19.0ms (0%)

series1.8s (2.9%)

rewrite8.0ms (0%)

simplify135.0ms (0.2%)

prune143.0ms (0.2%)

localize17.0ms (0%)

series1.6s (2.6%)

rewrite6.0ms (0%)

simplify122.0ms (0.2%)

prune146.0ms (0.2%)

localize20.0ms (0%)

series4.5s (7.1%)

rewrite9.0ms (0%)

simplify193.0ms (0.3%)

prune401.0ms (0.6%)

localize21.0ms (0%)

series35.9s (56.4%)

rewrite36.0ms (0.1%)

simplify1.5s (2.3%)

prune10.3s (16.2%)

regimes1.7s (2.6%)

simplify2.0ms (0%)

end15.0ms (0%)

sample3.1s (4.9%)

Profiling