Details

analyze1.2s (14.8%)

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)

sample85.0ms (1.1%)

Algorithm

1×

intervals

Results

47.0ms	130×	body	2048	valid
20.0ms	67×	body	1024	valid
6.0ms	37×	body	512	valid
1.0ms	9×	body	256	valid
1.0ms	13×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify68.0ms (0.8%)

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

0.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.6b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

Compiler

Compiled 53 to 36 computations (32.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series2.0ms (0%)

Counts

1 → 12

Calls

1 calls:

2.0ms

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

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

1×	`*-un-lft-identity_binary64`
1×	`add-sqr-sqrt_binary64`
1×	`add-cube-cbrt_binary64`
1×	`add-cbrt-cube_binary64`
1×	`add-exp-log_binary64`

Counts

1 → 10

Calls

1 calls:

0.0ms

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

simplify87.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-neg_binary64`
548×	`times-frac_binary64`
398×	`unsub-neg_binary64`
363×	`distribute-neg-in_binary64`
362×	`unswap-sqr_binary64`

Counts

22 → 13

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	454
1	31	419
2	40	419
3	53	419
4	76	419
5	112	419
6	187	419
7	376	419
8	808	419
9	2217	419
10	3234	419
11	4326	419
12	4857	419

prune13.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	11	2	13
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	12	2	14

Error

0.6b

Counts

14 → 2

Alt Table

Status	Error	Program
	2.1b	(.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)))))
▶	0.6b	(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

Status

Error

Program

2.1b

(*.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)))))

▶

0.6b

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

Compiler

Compiled 361 to 257 computations (28.8% saved)

localize12.0ms (0.1%)

Local error

Found 3 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 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
	0.6b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series500.0ms (6.2%)

Counts

2 → 24

Calls

2 calls:

497.0ms	(log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))
3.0ms	(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))))

simplify112.0ms (1.4%)

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

prune47.0ms (0.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Error

0.6b

Counts

58 → 3

Alt Table

Status	Error	Program
▶	0.6b	(expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	2.5b	(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)))))))
	2.1b	(.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))

Compiler

Compiled 1439 to 1059 computations (26.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))
✓	0.0b	(log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
✓	0.0b	(expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	0.6b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))

series527.0ms (6.6%)

Counts

2 → 24

Calls

2 calls:

523.0ms	(log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
3.0ms	(expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

rewrite2.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`expm1-log1p-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))
0.0ms	(expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

simplify126.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

862×	`fma-neg_binary64`
816×	`unswap-sqr_binary64`
428×	`unsub-neg_binary64`
348×	`associate-l_binary64`
340×	`fma-def_binary64`

Counts

46 → 39

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	38	950
1	41	873
2	53	873
3	74	873
4	104	873
5	154	873
6	260	873
7	528	873
8	1236	873
9	3078	873
10	4224	873
11	4905	873
12	4801	873

prune70.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	77	4	81

Error

0.6b

Counts

81 → 4

Alt Table

Status	Error	Program
	2.1b	(expm1.f64 (log1p.f64 (.f64 (pow.f64 (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))) 2) (cbrt.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
✓	0.6b	(expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	3.3b	(expm1.f64 (.f64 (.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
▶	2.1b	(.f64 (.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))

Compiler

Compiled 2106 to 1590 computations (24.5% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	0.6b	(acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))
✓	1.0b	(.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))
✓	1.0b	(cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))

series1.1s (14%)

Counts

2 → 24

Calls

2 calls:

597.0ms

(*.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))

522.0ms

(cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
19×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64`
9×	`pow1_binary64`

Counts

2 → 55

Calls

2 calls:

5.0ms

(*.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))

1.0ms

(cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1))))))))

simplify150.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

970×	`log-prod_binary64`
729×	`fma-def_binary64`
454×	`unswap-sqr_binary64`
409×	`exp-prod_binary64`
373×	`*-commutative_binary64`

Counts

79 → 81

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	66	2342
1	99	2078
2	271	2008
3	627	1962
4	1741	1646
5	3103	1639
6	4141	1632
7	4951	1632
8	4821	1632

prune325.0ms (4.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	222	2	224
Fresh	1	1	2
Picked	1	0	1
Done	0	1	1
Total	224	4	228

Error

0.6b

Counts

228 → 4

Alt Table

Status	Error	Program
	2.1b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))) (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))))) (cbrt.f64 (.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))) (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))))) (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))))
	2.1b	(.f64 (exp.f64 (+.f64 (log.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))) (log.f64 (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))))))))) (cbrt.f64 (expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))))))
✓	0.6b	(expm1.f64 (log1p.f64 (exp.f64 (log.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))
	3.3b	(expm1.f64 (.f64 (.f64 (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1))))) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (fma.f64 v v -1)))))) (cbrt.f64 (log1p.f64 (acos.f64 (/.f64 (fma.f64 v (*.f64 v -5) 1) (fma.f64 v v -1)))))))

Compiler

Compiled 13768 to 10654 computations (22.6% saved)

regimes674.0ms (8.4%)

Accuracy

Total 0.0b remaining (1.3%)

Threshold costs 0.0b (1.3%)

Counts

110 → 1

Compiler

Compiled 21134 to 16352 computations (22.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	25
1	17	25
2	16	25

end1.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

sample2.8s (35.5%)

Algorithm

1×

intervals

Results

1.4s	3976×	body	2048	valid
585.0ms	1966×	body	1024	valid
199.0ms	1036×	body	512	valid
70.0ms	532×	body	128	valid
61.0ms	490×	body	256	valid
0.0ms	5×	body	128	nan

Compiler

Compiled 283 to 218 computations (23% saved)

Details

analyze1.2s (14.8%)

sample85.0ms (1.1%)

simplify68.0ms (0.8%)

prune3.0ms (0%)

localize7.0ms (0.1%)

series2.0ms (0%)

rewrite1.0ms (0%)

simplify87.0ms (1.1%)

prune13.0ms (0.2%)

localize12.0ms (0.1%)

series500.0ms (6.2%)

rewrite4.0ms (0%)

simplify112.0ms (1.4%)

prune47.0ms (0.6%)

localize13.0ms (0.2%)

series527.0ms (6.6%)

rewrite2.0ms (0%)

simplify126.0ms (1.6%)

prune70.0ms (0.9%)

localize16.0ms (0.2%)

series1.1s (14%)

rewrite14.0ms (0.2%)

simplify150.0ms (1.9%)

prune325.0ms (4.1%)

regimes674.0ms (8.4%)

simplify2.0ms (0%)

end1.0ms (0%)

sample2.8s (35.5%)

Profiling