Details

analyze1.0s (6.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	3
0%	100%	0%	4
0%	100%	0%	5
0%	100%	0%	6
0%	100%	0%	7
0%	100%	0%	8
0%	100%	0%	9
0%	100%	0%	10
0%	100%	0%	11
0%	100%	0%	12
3%	46.9%	50%	13
3.1%	46.8%	50%	14

Compiler

Compiled 16 to 11 computations (31.3% saved)

sample154.0ms (1%)

Algorithm

1×

intervals

Results

42.0ms	119×	body	2048	valid
17.0ms	69×	body	1024	valid
7.0ms	33×	body	512	valid
2.0ms	19×	body	256	valid
1.0ms	16×	body	128	valid

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify71.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

686×	`div-sub_binary64`
546×	`sub-neg_binary64`
397×	`neg-mul-1_binary64`
344×	`neg-sub0_binary64`
311×	`associate-/r*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	31	19
2	72	17
3	203	17
4	532	17
5	1340	17
6	2710	17
7	3748	17
8	4643	17
9	4981	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

0.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.4b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

Compiler

Compiled 53 to 36 computations (32.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
✓	0.0b	(fma.f64 v (*.f64 v -5) 1)
✓	0.4b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series8.0ms (0.1%)

Counts

3 → 36

Calls

3 calls:

3.0ms	(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
3.0ms	(fma.f64 v (*.f64 v -5) 1)
2.0ms	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

rewrite5.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64`
11×	`add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
9×	`times-frac_binary64`
5×	`add-cbrt-cube_binary64`

Counts

3 → 49

Calls

3 calls:

2.0ms	(/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))
1.0ms	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
0.0ms	(fma.f64 v (*.f64 v -5) 1)

simplify84.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

670×	`fma-def_binary64`
523×	`associate-/l*_binary64`
370×	`fma-neg_binary64`
263×	`associate-/l/_binary64`
248×	`distribute-rgt-in_binary64`

Counts

85 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1613
1	221	1461
2	571	1457
3	1601	1455
4	4588	1455
5	5008	1455

prune74.0ms (0.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	74	4	78

Error

0.4b

Counts

78 → 4

Alt Table

Status	Error	Program
	1.4b	(.f64 (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (sqrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
	2.0b	(.f64 (.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
▶	0.4b	(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
	0.9b	(acos.f64 (fma.f64 4 (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6))) -1))

Compiler

Compiled 1615 to 1164 computations (27.9% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(fma.f64 v (*.f64 v -5) 1)
✓	0.0b	(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
✓	0.0b	(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
	0.4b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series440.0ms (2.8%)

Counts

2 → 24

Calls

2 calls:

436.0ms	(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
4.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`log-prod_binary64`
5×	`*-un-lft-identity_binary64`
5×	`add-sqr-sqrt_binary64`
5×	`add-cube-cbrt_binary64`
4×	`exp-prod_binary64`

Counts

2 → 31

Calls

2 calls:

2.0ms	(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
1.0ms	(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))

simplify113.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

620×	`unswap-sqr_binary64`
480×	`fma-neg_binary64`
451×	`fma-def_binary64`
352×	`associate-/l*_binary64`
293×	`associate-/r*_binary64`

Counts

55 → 43

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	1240
1	53	1120
2	73	1120
3	100	1112
4	157	1112
5	256	1112
6	481	1112
7	1150	1112
8	2469	1112
9	4309	1112
10	4996	1112
11	4779	1112

prune84.0ms (0.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	66	7	73
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	69	8	77

Error

0.4b

Counts

77 → 8

Alt Table

Status	Error	Program
▶	0.4b	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
	3.1b	(pow.f64 (exp.f64 (.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
	0.9b	(acos.f64 (fma.f64 4 (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6))) -1))
	0.5b	(exp.f64 (log.f64 (acos.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (fma.f64 v (.f64 v -5) 1))) (cbrt.f64 (fma.f64 v (*.f64 v -5) 1))) (fma.f64 v v -1)))))
	1.4b	(exp.f64 (log.f64 (.f64 (.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	2.9b	(exp.f64 (.f64 (.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	2.3b	(exp.f64 (+.f64 (log.f64 (.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (log.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))
	2.0b	(.f64 (.f64 (cbrt.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

Compiler

Compiled 2159 to 1593 computations (26.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
✓	0.0b	(exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
✓	0.0b	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
	0.4b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series2.1s (13.2%)

Counts

2 → 24

Calls

2 calls:

1.6s

(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

450.0ms

(exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

rewrite8.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`exp-prod_binary64`
12×	`sqrt-prod_binary64`
9×	`*-un-lft-identity_binary64`
9×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`

Counts

2 → 47

Calls

2 calls:

3.0ms

(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

2.0ms

(exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

simplify169.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

430×	`exp-prod_binary64`
327×	`associate-l_binary64`
313×	`sqr-pow_binary64`
313×	`fma-def_binary64`
304×	`*-commutative_binary64`

Counts

71 → 56

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	68	2355
1	107	2262
2	236	2262
3	507	2262
4	1531	2262
5	3499	2262
6	4526	2262
7	4918	2262
8	4967	2262
9	4760	2262

prune205.0ms (1.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	114	2	116
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	116	8	124

Error

0.4b

Counts

124 → 8

Alt Table

Status	Error	Program
	2.9b	(exp.f64 (.f64 (.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	3.1b	(pow.f64 (.f64 (.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
✓	0.4b	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
	3.1b	(pow.f64 (exp.f64 (.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
	0.9b	(acos.f64 (fma.f64 4 (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6))) -1))
	0.5b	(exp.f64 (log.f64 (acos.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (fma.f64 v (.f64 v -5) 1))) (cbrt.f64 (fma.f64 v (*.f64 v -5) 1))) (fma.f64 v v -1)))))
	1.4b	(exp.f64 (log.f64 (.f64 (.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
▶	0.5b	(pow.f64 (pow.f64 (exp.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

Compiler

Compiled 5353 to 3984 computations (25.6% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))
✓	0.0b	(.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
✓	0.0b	(pow.f64 (pow.f64 (exp.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
	0.4b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series6.9s (43.8%)

Counts

3 → 36

Calls

3 calls:

3.5s

(pow.f64 (pow.f64 (exp.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

2.4s

(pow.f64 (exp.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

935.0ms

(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

rewrite33.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

55×	`cbrt-prod_binary64`
45×	`add-sqr-sqrt_binary64`
36×	`sqrt-prod_binary64`
25×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`

Counts

3 → 120

Calls

3 calls:

7.0ms

(*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

6.0ms

(pow.f64 (exp.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

3.0ms

(pow.f64 (pow.f64 (exp.f64 (*.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))

simplify297.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-def_binary64`
439×	`unswap-sqr_binary64`
385×	`associate-/l*_binary64`
311×	`log-prod_binary64`
253×	`associate-l_binary64`

Counts

156 → 158

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	9574
1	218	7703
2	541	6313
3	1255	5953
4	3936	5953
5	4968	5953

prune514.0ms (3.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	206	4	210
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	209	9	218

Error

0.4b

Counts

218 → 9

Alt Table

Status	Error	Program
	2.3b	(pow.f64 (.f64 (pow.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (exp.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/6)) (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (pow.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 1/6))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
✓	0.4b	(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))
	3.7b	(pow.f64 (pow.f64 (exp.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (.f64 (cbrt.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
	3.3b	(pow.f64 (pow.f64 (exp.f64 (.f64 (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
	0.9b	(acos.f64 (fma.f64 4 (+.f64 (pow.f64 v 4) (fma.f64 v v (pow.f64 v 6))) -1))
	0.5b	(pow.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))) (.f64 (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (sqrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))
	0.5b	(exp.f64 (log.f64 (acos.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (fma.f64 v (.f64 v -5) 1))) (cbrt.f64 (fma.f64 v (*.f64 v -5) 1))) (fma.f64 v v -1)))))
	1.4b	(exp.f64 (log.f64 (.f64 (.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	2.9b	(exp.f64 (.f64 (.f64 (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

Compiler

Compiled 16074 to 12083 computations (24.8% saved)

regimes372.0ms (2.4%)

Accuracy

Total 0.0b remaining (3.3%)

Threshold costs 0.0b (3.3%)

Counts

72 → 1

Compiler

Compiled 10644 to 7972 computations (25.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	14	17
2	13	17

end0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

sample3.0s (19.2%)

Algorithm

1×

intervals

Results

1.5s	3936×	body	2048	valid
526.0ms	2010×	body	1024	valid
188.0ms	1033×	body	512	valid
63.0ms	495×	body	256	valid
36.0ms	526×	body	128	valid
0.0ms	4×	body	128	nan

Compiler

Compiled 627 to 470 computations (25% saved)

Details

analyze1.0s (6.6%)

sample154.0ms (1%)

simplify71.0ms (0.4%)

prune3.0ms (0%)

localize8.0ms (0.1%)

series8.0ms (0.1%)

rewrite5.0ms (0%)

simplify84.0ms (0.5%)

prune74.0ms (0.5%)

localize10.0ms (0.1%)

series440.0ms (2.8%)

rewrite4.0ms (0%)

simplify113.0ms (0.7%)

prune84.0ms (0.5%)

localize13.0ms (0.1%)

series2.1s (13.2%)

rewrite8.0ms (0.1%)

simplify169.0ms (1.1%)

prune205.0ms (1.3%)

localize18.0ms (0.1%)

series6.9s (43.8%)

rewrite33.0ms (0.2%)

simplify297.0ms (1.9%)

prune514.0ms (3.3%)

regimes372.0ms (2.4%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.0s (19.2%)

Profiling