Details

analyze896.0ms (16.3%)

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)

sample72.0ms (1.3%)

Algorithm

1×

intervals

Results

36.0ms	118×	body	2048	valid
18.0ms	72×	body	1024	valid
6.0ms	38×	body	512	valid
1.0ms	13×	body	256	valid
1.0ms	15×	body	128	valid
0.0ms	1×	body	128	nan

Compiler

Compiled 32 to 22 computations (31.3% saved)

simplify74.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

694×	`div-sub_binary64`
602×	`neg-mul-1_binary64`
550×	`sub-neg_binary64`
311×	`associate-/r*_binary64`
286×	`distribute-neg-frac_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	30	21
2	71	21
3	195	21
4	504	21
5	1254	21
6	2437	21
7	3311	21
8	4638	21
9	4955	21

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.5b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 30 to 20 computations (33.3% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

rewrite82.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

20×	`add-sqr-sqrt_binary64`
19×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
15×	`add-cube-cbrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

3 → 71

Calls

3 calls:

8.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
5.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 1582 to 991 computations (37.4% saved)

series31.0ms (0.6%)

Error

0.5b

Counts

3 → 12

Calls

3 calls:

9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))
8.0ms	(.f64 5 (.f64 v v))
7.0ms	(acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1)))

Compiler

Compiled 333 to 284 computations (14.7% saved)

simplify115.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

440×	`associate-l_binary64`
391×	`div-sub_binary64`
376×	`times-frac_binary64`
364×	`associate-r_binary64`
235×	`associate-/l*_binary64`

Counts

83 → 42

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	140	1943
1	298	1799
2	959	1785
3	3876	1785
4	4981	1785
5	4918	1785

prune31.0ms (0.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	40	2	42
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	2	43

Error

0.5b

Counts

43 → 2

Alt Table

Status	Error	Program
	1.5b	(cbrt.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 3))
▶	0.5b	(acos.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (pow.f64 v 4))) (+.f64 (.f64 v v) 1)))

Compiler

Compiled 568 to 382 computations (32.7% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (pow.f64 v 4)))
0.0b	(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (pow.f64 v 4))) (+.f64 (.f64 v v) 1))
0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (pow.f64 v 4))) (+.f64 (.f64 v v) 1)))

rewrite149.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

37×	`*-un-lft-identity_binary64`
29×	`add-sqr-sqrt_binary64`
25×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
21×	`associate-l_binary64`

Counts

4 → 106

Calls

4 calls:

15.0ms	(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (pow.f64 v 4))) (+.f64 (.f64 v v) 1))
9.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (pow.f64 v 4)))
5.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (pow.f64 v 4))) (+.f64 (.f64 v v) 1)))

Compiler

Compiled 3129 to 2141 computations (31.6% saved)

series53.0ms (1%)

Error

0.5b

Counts

4 → 18

Calls

4 calls:

12.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (pow.f64 v 4)))
10.0ms	(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (pow.f64 v 4))) (+.f64 (.f64 v v) 1))
9.0ms	(acos.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 -1 (pow.f64 v 4))) (+.f64 (.f64 v v) 1)))
8.0ms	(.f64 5 (.f64 v v))

Compiler

Compiled 629 to 516 computations (18% saved)

simplify133.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

682×	`distribute-rgt-in_binary64`
616×	`distribute-lft-in_binary64`
206×	`associate-l_binary64`
184×	`associate-r_binary64`
128×	`distribute-rgt-out_binary64`

Counts

124 → 102

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3440
1	589	3102
2	1998	2859
3	4755	2859
4	4995	2859

prune105.0ms (1.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	102	2	104

Error

0.5b

Counts

104 → 2

Alt Table

Status	Error	Program
▶	0.5b	(acos.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 (+.f64 (.f64 v v) -1))))
	2.0b	(.f64 (.f64 (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))) (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))) (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))

Status

Error

Program

▶

0.5b

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

2.0b

(*.f64 (*.f64 (cbrt.f64 (acos.f64 (*.f64 1 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))))) (cbrt.f64 (acos.f64 (*.f64 1 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)))))) (cbrt.f64 (acos.f64 (*.f64 1 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))))))

Compiler

Compiled 2438 to 1682 computations (31% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 1 (+.f64 (*.f64 v v) -1))
0.0b	(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 (+.f64 (.f64 v v) -1)))
0.2b	(.f64 5 (.f64 v v))
0.5b	(acos.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 (+.f64 (.f64 v v) -1))))

rewrite135.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

31×	`add-sqr-sqrt_binary64`
26×	`times-frac_binary64`
24×	`*-un-lft-identity_binary64`
23×	`add-cube-cbrt_binary64`
22×	`add-exp-log_binary64`

Counts

4 → 109

Calls

4 calls:

13.0ms	(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 (+.f64 (.f64 v v) -1)))
6.0ms	(/.f64 1 (+.f64 (*.f64 v v) -1))
5.0ms	(.f64 5 (.f64 v v))
1.0ms	(acos.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 (+.f64 (.f64 v v) -1))))

Compiler

Compiled 2646 to 1755 computations (33.7% saved)

series46.0ms (0.8%)

Error

0.5b

Counts

4 → 18

Calls

4 calls:

10.0ms	(/.f64 1 (+.f64 (*.f64 v v) -1))
9.0ms	(.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 (+.f64 (.f64 v v) -1)))
8.0ms	(.f64 5 (.f64 v v))
7.0ms	(acos.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 (+.f64 (.f64 v v) -1))))

Compiler

Compiled 571 to 472 computations (17.3% saved)

simplify103.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

374×	`times-frac_binary64`
354×	`distribute-rgt-in_binary64`
351×	`div-sub_binary64`
313×	`distribute-lft-in_binary64`
233×	`*-commutative_binary64`

Counts

127 → 103

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	161	2293
1	366	2062
2	1211	2062
3	3955	2062
4	4976	2062

prune70.0ms (1.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	103	2	105

Error

0.5b

Counts

105 → 2

Alt Table

Status	Error	Program
✓	0.5b	(acos.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 (+.f64 (.f64 v v) -1))))
▶	2.0b	(.f64 (.f64 (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))) (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))) (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))

Status

Error

Program

✓

0.5b

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

▶

2.0b

(*.f64 (*.f64 (cbrt.f64 (acos.f64 (*.f64 1 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))))) (cbrt.f64 (acos.f64 (*.f64 1 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1)))))) (cbrt.f64 (acos.f64 (*.f64 1 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (+.f64 (*.f64 v v) -1))))))

Compiler

Compiled 1706 to 1112 computations (34.8% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(.f64 (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))) (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))))
1.0b	(cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))
1.0b	(cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))
1.0b	(cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))

rewrite129.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.5b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`add-cube-cbrt_binary64` `*-un-lft-identity_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))) (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))))
1.0ms	(cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))
1.0ms	(cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))
1.0ms	(cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))

Compiler

Compiled 4791 to 3226 computations (32.7% saved)

series151.0ms (2.7%)

Error

0.5b

Counts

4 → 12

Calls

4 calls:

42.0ms	(.f64 (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))) (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))))
35.0ms	(cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))
34.0ms	(cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))
33.0ms	(cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))

Compiler

Compiled 1369 to 1044 computations (23.7% saved)

simplify170.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

740×	`log-prod_binary64`
640×	`distribute-rgt-in_binary64`
456×	`unswap-sqr_binary64`
247×	`associate-l_binary64`
215×	`exp-prod_binary64`

Counts

85 → 72

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	62	3035
1	112	2767
2	323	2707
3	863	2653
4	2372	2169
5	4369	2169
6	4935	2169
7	5042	2169

prune64.0ms (1.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	69	5	74

Error

0.5b

Counts

74 → 5

Alt Table

Status	Error	Program
	1.5b	(.f64 (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) 5) (cbrt.f64 (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))) (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (*.f64 v v) -1))))))
	0.5b	(acos.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (/.f64 1 (+.f64 (.f64 v v) -1))))
	1.5b	(.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))) (cbrt.f64 (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))) (pow.f64 (cbrt.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) 4)) (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))
	2.0b	(.f64 (.f64 (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1)))) (cbrt.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))))) (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))))
	1.4b	(.f64 (.f64 (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1))))) (cbrt.f64 (acos.f64 (.f64 1 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (+.f64 (.f64 v v) -1)))))) (.f64 (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (.f64 v v) 1))) 1/6) (pow.f64 (acos.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 (*.f64 v v) 1))) 1/6)))

Compiler

Compiled 2188 to 1450 computations (33.7% saved)

regimes495.0ms (9%)

Accuracy

Total 0.0b remaining (1.4%)

Threshold costs 0.0b (1.4%)

Compiler

Compiled 12500 to 8706 computations (30.4% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64` `+-commutative_binary64`
4×	`sub-neg_binary64`
3×	`neg-mul-1_binary64` `neg-sub0_binary64` `distribute-rgt-neg-in_binary64` `distribute-lft-neg-in_binary64`
2×	`cancel-sign-sub-inv_binary64`
1×	`unpow1_binary64` `1-exp_binary64` `*-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	21
1	24	21
2	30	21
3	37	21
4	42	21
5	45	21
6	46	21
7	44	21

end1.0ms (0%)

Compiler: Compiled 15 to 10 computations (33.3% saved)

sample2.3s (42.6%)

Algorithm

1×

intervals

Results

1.2s	4065×	body	2048	valid
422.0ms	1994×	body	1024	valid
149.0ms	971×	body	512	valid
48.0ms	460×	body	256	valid
27.0ms	508×	body	128	valid
1.0ms	2×	body	4096	valid
0.0ms	11×	body	128	nan

Compiler

Compiled 300 to 205 computations (31.7% saved)

Details

analyze896.0ms (16.3%)

sample72.0ms (1.3%)

simplify74.0ms (1.3%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite82.0ms (1.5%)

series31.0ms (0.6%)

simplify115.0ms (2.1%)

prune31.0ms (0.6%)

localize11.0ms (0.2%)

rewrite149.0ms (2.7%)

series53.0ms (1%)

simplify133.0ms (2.4%)

prune105.0ms (1.9%)

localize9.0ms (0.2%)

rewrite135.0ms (2.5%)

series46.0ms (0.8%)

simplify103.0ms (1.9%)

prune70.0ms (1.3%)

localize16.0ms (0.3%)

rewrite129.0ms (2.3%)

series151.0ms (2.7%)

simplify170.0ms (3.1%)

prune64.0ms (1.2%)

regimes495.0ms (9%)

simplify4.0ms (0.1%)

end1.0ms (0%)

sample2.3s (42.6%)

Profiling