Details

analyze1.2s (1.4%)

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
24.9%	74.7%	0.4%	8
24.9%	74.7%	0.4%	9
24.9%	74.7%	0.4%	10
24.9%	49.8%	25.3%	11
24.9%	49.8%	25.3%	12
24.9%	49.8%	25.3%	13
24.9%	49.8%	25.3%	14

Compiler

Compiled 30 to 21 computations (30% saved)

sample5.4s (6.4%)

Infinites

12.8% of outputs are infinite.

Symmetry

(sort z t a)

Results

3.5s	16269×	body	128	invalid
1.7s	8254×	body	128	valid
1.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 89 to 62 computations (30.3% saved)

simplify91.0ms (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

prune8.0ms (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	(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 99 to 61 computations (38.4% saved)

localize32.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fma.f64 x (log.f64 y) z) t)
✓	0.0b	(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)

series1.3s (1.5%)

Counts

3 → 168

Calls

3 calls:

915.0ms	(fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))
237.0ms	(fma.f64 x (log.f64 y) z)
136.0ms	(+.f64 (fma.f64 x (log.f64 y) z) t)

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64`
5×	`add-log-exp_binary64`
4×	`add-sqr-sqrt_binary64`
4×	`add-cube-cbrt_binary64`
3×	`fma-def_binary64`

Counts

3 → 38

Calls

3 calls:

3.0ms	(+.f64 (fma.f64 x (log.f64 y) z) t)
0.0ms	(fma.f64 x (log.f64 y) z)
0.0ms	(fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))

simplify102.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

560×	`fma-neg_binary64`
476×	`associate-+r+_binary64`
452×	`sub-neg_binary64`
379×	`associate--l+_binary64`
365×	`fma-def_binary64`

Counts

206 → 100

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	128	3529
1	326	3437
2	919	3062
3	3424	3054
4	4973	3054

prune79.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	98	2	100
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	98	3	101

Error

0.0b

Counts

101 → 3

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)))
▶	1.0b	(fma.f64 y i (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
	56.1b	(fma.f64 y i (log.f64 (*.f64 (pow.f64 c (-.f64 b 1/2)) (exp.f64 (+.f64 a (+.f64 (fma.f64 (log.f64 y) x z) t))))))

Compiler

Compiled 2520 to 936 computations (62.9% saved)

localize22.0ms (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))

series16.0s (19%)

Counts

3 → 252

Calls

3 calls:

9.5s

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

5.6s

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

969.0ms

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

rewrite31.0ms (0%)

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:

8.0ms

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

7.0ms

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

simplify671.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

345 → 220

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6834	104870

prune4.1s (4.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	444	4	448
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	444	7	451

Error

0.0b

Counts

451 → 7

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)))
	31.8b	(fma.f64 y i (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))))
	31.8b	(fma.f64 y i (.f64 (.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))))
✓	1.0b	(fma.f64 y i (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
	56.1b	(fma.f64 y i (log.f64 (*.f64 (pow.f64 c (-.f64 b 1/2)) (exp.f64 (+.f64 a (+.f64 (fma.f64 (log.f64 y) x z) t))))))
▶	1.1b	(fma.f64 y i (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
	1.7b	(fma.f64 y i (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))

Compiler

Compiled 126220 to 74028 computations (41.4% saved)

localize50.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(cbrt.f64 (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))
✓	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))

series17.4s (20.7%)

Counts

2 → 168

Calls

2 calls:

11.0s

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

6.5s

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

rewrite9.0ms (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:

4.0ms

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

2.0ms

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

simplify1.1s (1.3%)

Algorithm

1×	egg-herbie

Counts

195 → 151

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6968	98708

prune10.9s (13%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	634	2	636
Fresh	0	4	4
Picked	1	0	1
Done	1	1	2
Total	636	7	643

Error

0.0b

Counts

643 → 7

Alt Table

Status	Error	Program
	1.2b	(fma.f64 y i (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
✓	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)))
	31.8b	(fma.f64 y i (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))))
▶	1.2b	(fma.f64 y i (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
	31.8b	(fma.f64 y i (.f64 (.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))))
	56.1b	(fma.f64 y i (log.f64 (*.f64 (pow.f64 c (-.f64 b 1/2)) (exp.f64 (+.f64 a (+.f64 (fma.f64 (log.f64 y) x z) t))))))
	1.7b	(fma.f64 y i (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))

Compiler

Compiled 260866 to 151209 computations (42% saved)

localize29.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.5b	(*.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))
✓	0.6b	(cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (.f64 (cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))))
	0.6b	(cbrt.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))

series11.8s (14%)

Counts

1 → 84

Calls

1 calls:

11.8s

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

rewrite10.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 11

Calls

1 calls:

8.0ms

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

simplify730.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1227×	`fma-def_binary64`
2×	`fma-udef_binary64`

Counts

95 → 121

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4071	58893
1	5302	58893

prune10.0s (11.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	832	0	832
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	832	7	839

Error

0.0b

Counts

839 → 7

Alt Table

Status	Error	Program
	1.2b	(fma.f64 y i (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))) (cbrt.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
✓	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)))
	31.8b	(fma.f64 y i (.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))))
✓	1.2b	(fma.f64 y i (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (.f64 (cbrt.f64 (.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))
	31.8b	(fma.f64 y i (.f64 (.f64 (*.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))) (cbrt.f64 (sqrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a))))))
	56.1b	(fma.f64 y i (log.f64 (*.f64 (pow.f64 c (-.f64 b 1/2)) (exp.f64 (+.f64 a (+.f64 (fma.f64 (log.f64 y) x z) t))))))
	1.7b	(fma.f64 y i (.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (cbrt.f64 (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 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))) (cbrt.f64 (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))) (cbrt.f64 (fma.f64 (-.f64 b 1/2) (log.f64 c) (+.f64 (+.f64 (fma.f64 x (log.f64 y) z) t) a)))))

Compiler

Compiled 396598 to 223377 computations (43.7% saved)

regimes2.6s (3.1%)

Accuracy

Total 0.0b remaining (36.7%)

Threshold costs 0.0b (36.7%)

Counts

107 → 1

Compiler

Compiled 110372 to 48240 computations (56.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	26
1	23	26
2	24	26
3	23	26

end441.0ms (0.5%)

Remove: (sort z t a)
Compiler: Compiled 720 to 333 computations (53.8% saved)

Details

analyze1.2s (1.4%)

sample5.4s (6.4%)

simplify91.0ms (0.1%)

prune8.0ms (0%)

localize32.0ms (0%)

series1.3s (1.5%)

rewrite5.0ms (0%)

simplify102.0ms (0.1%)

prune79.0ms (0.1%)

localize22.0ms (0%)

series16.0s (19%)

rewrite31.0ms (0%)

simplify671.0ms (0.8%)

prune4.1s (4.8%)

localize50.0ms (0.1%)

series17.4s (20.7%)

rewrite9.0ms (0%)

simplify1.1s (1.3%)

prune10.9s (13%)

localize29.0ms (0%)

series11.8s (14%)

rewrite10.0ms (0%)

simplify730.0ms (0.9%)

prune10.0s (11.9%)

regimes2.6s (3.1%)

simplify4.0ms (0%)

end441.0ms (0.5%)

Profiling