Details

analyze1.4s (9.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
49.9%	49.9%	0.2%	2
49.9%	49.9%	0.2%	3
49.9%	49.9%	0.2%	4
49.9%	49.9%	0.2%	5
49.9%	49.9%	0.2%	6
49.9%	49.9%	0.2%	7
53%	46.8%	0.2%	8
57.7%	42.1%	0.2%	9
61.6%	38.2%	0.2%	10
63.5%	30%	6.4%	11
63.5%	30%	6.4%	12
67.6%	25.9%	6.4%	13
68.9%	24.7%	6.4%	14

Compiler

Compiled 20 to 15 computations (25% saved)

sample246.0ms (1.7%)

Algorithm

1×

intervals

Results

49.0ms	47×	body	1024	valid
41.0ms	52×	body	1024	invalid
35.0ms	38×	body	512	invalid
28.0ms	50×	body	512	valid
23.0ms	138×	body	128	valid
18.0ms	109×	body	128	invalid
7.0ms	20×	body	256	valid
5.0ms	15×	body	256	invalid
2.0ms	1×	body	2048	valid

Compiler

Compiled 43 to 33 computations (23.3% saved)

simplify119.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

720×	`div-sub_binary64`
424×	`times-frac_binary64`
411×	`associate-/l*_binary64`
370×	`cancel-sign-sub-inv_binary64`
355×	`distribute-neg-frac_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	28	24
2	50	24
3	96	24
4	205	24
5	441	24
6	997	24
7	1569	24
8	2735	24
9	3755	24
10	4991	24
11	4999	24
12	4815	24

prune3.0ms (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

18.3b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	18.3b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize25.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
4.6b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite115.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
10×	`add-cbrt-cube_binary64`
10×	`add-exp-log_binary64`
10×	`pow1_binary64`

Counts

3 → 68

Calls

3 calls:

16.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
14.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
8.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1510 to 558 computations (63% saved)

series191.0ms (1.3%)

Error

0.0b

Counts

3 → 27

Calls

3 calls:

82.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
39.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
18.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1403 to 1003 computations (28.5% saved)

simplify204.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

760×	`times-frac_binary64`
358×	`distribute-rgt-in_binary64`
352×	`distribute-lft-in_binary64`
325×	`distribute-rgt-neg-out_binary64`
286×	`associate-l_binary64`

Counts

95 → 71

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	211	2250
1	473	1906
2	1473	1870
3	3490	1870
4	4736	1867
5	5542	1867

prune77.0ms (0.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	68	3	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	3	72

Error

0.0b

Counts

72 → 3

Alt Table

Status	Error	Program
	0.5b	(+.f64 U (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2))))))
▶	0.2b	(+.f64 U (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 (+.f64 l l) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5)))))))
	18.3b	(+.f64 (.f64 (.f64 J (/.f64 (-.f64 (pow.f64 (exp.f64 l) 2) (pow.f64 (exp.f64 l) -2)) (+.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 954 to 507 computations (46.9% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 l l) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5))))
0.0b	(*.f64 1/60 (pow.f64 l 5))
0.1b	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 (+.f64 l l) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5))))))
0.1b	(*.f64 1/3 (pow.f64 l 3))

rewrite408.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64`
20×	`associate-r_binary64`
19×	`add-exp-log_binary64`
17×	`*-un-lft-identity_binary64`
16×	`add-log-exp_binary64`

Counts

4 → 106

Calls

4 calls:

30.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 (+.f64 l l) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5))))))
22.0ms	(+.f64 (+.f64 l l) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5))))
13.0ms	(*.f64 1/3 (pow.f64 l 3))
9.0ms	(*.f64 1/60 (pow.f64 l 5))

Compiler

Compiled 3708 to 2563 computations (30.9% saved)

series368.0ms (2.5%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

204.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 (+.f64 l l) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5))))))
50.0ms	(+.f64 (+.f64 l l) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5))))
18.0ms	(*.f64 1/60 (pow.f64 l 5))
16.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 1983 to 1500 computations (24.4% saved)

simplify247.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

376×	`associate-r_binary64`
371×	`cancel-sign-sub-inv_binary64`
366×	`associate-l_binary64`
221×	`*-commutative_binary64`
215×	`distribute-rgt-in_binary64`

Counts

137 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	308	4060
1	765	3336
2	2725	3233
3	4577	3233
4	4778	3233

prune148.0ms (1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	84	3	87
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	85	5	90

Error

0.0b

Counts

90 → 5

Alt Table

Status	Error	Program
	0.5b	(+.f64 U (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 K 1/2))))))
	17.8b	(+.f64 U (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (.f64 J (+.f64 (+.f64 l l) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))) (sqrt.f64 (cos.f64 (/.f64 K 2))))))
▶	0.2b	(+.f64 U (+.f64 (.f64 (cos.f64 (/.f64 K 2)) (.f64 2 (.f64 J l))) (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5)))))))
	11.0b	(+.f64 U (cbrt.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 (+.f64 l l) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5)))))) 3)))
	18.3b	(+.f64 (.f64 (.f64 J (/.f64 (-.f64 (pow.f64 (exp.f64 l) 2) (pow.f64 (exp.f64 l) -2)) (+.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 1890 to 1335 computations (29.4% saved)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5)))))
0.1b	(.f64 (cos.f64 (/.f64 K 2)) (.f64 2 (*.f64 J l)))
0.1b	(*.f64 1/3 (pow.f64 l 3))
6.0b	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))

rewrite349.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`add-exp-log_binary64`
22×	`add-cbrt-cube_binary64`
21×	`add-sqr-sqrt_binary64`
20×	`pow1_binary64`
17×	`associate-r_binary64`

Counts

4 → 98

Calls

4 calls:

16.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5)))))
12.0ms	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))
12.0ms	(*.f64 1/3 (pow.f64 l 3))
11.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 2 (*.f64 J l)))

Compiler

Compiled 3465 to 2534 computations (26.9% saved)

series385.0ms (2.6%)

Error

0.0b

Counts

4 → 34

Calls

4 calls:

149.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5)))))
83.0ms	(.f64 (cos.f64 (/.f64 K 2)) (.f64 2 (*.f64 J l)))
77.0ms	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))
18.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 2742 to 2066 computations (24.7% saved)

simplify175.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

559×	`distribute-lft-in_binary64`
555×	`distribute-rgt-in_binary64`
445×	`associate-r_binary64`
401×	`associate-l_binary64`
187×	`*-commutative_binary64`

Counts

132 → 103

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	3669
1	594	3229
2	2250	3156
3	5140	3156

prune244.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	103	5	108

Error

0.0b

Counts

108 → 5

Alt Table

Status	Error	Program
▶	0.2b	(+.f64 U (.f64 (.f64 (cos.f64 (/.f64 K 2)) J) (+.f64 (.f64 2 l) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 1/3 (pow.f64 l 3))))))
	17.8b	(+.f64 U (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (.f64 J (+.f64 (+.f64 l l) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))) (sqrt.f64 (cos.f64 (/.f64 K 2))))))
✓	0.2b	(+.f64 U (+.f64 (.f64 (cos.f64 (/.f64 K 2)) (.f64 2 (.f64 J l))) (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5)))))))
	11.0b	(+.f64 U (cbrt.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 (+.f64 l l) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5)))))) 3)))
	18.3b	(+.f64 (.f64 (.f64 J (/.f64 (-.f64 (pow.f64 (exp.f64 l) 2) (pow.f64 (exp.f64 l) -2)) (+.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 2273 to 1661 computations (26.9% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/60 (pow.f64 l 5))
0.1b	(*.f64 (cos.f64 (/.f64 K 2)) J)
0.1b	(.f64 (.f64 (cos.f64 (/.f64 K 2)) J) (+.f64 (.f64 2 l) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 1/3 (pow.f64 l 3)))))
0.1b	(*.f64 1/3 (pow.f64 l 3))

rewrite345.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-sqr-sqrt_binary64`
25×	`associate-r_binary64`
21×	`add-exp-log_binary64`
15×	`add-cbrt-cube_binary64`
14×	`*-un-lft-identity_binary64`

Counts

4 → 96

Calls

4 calls:

16.0ms	(.f64 (.f64 (cos.f64 (/.f64 K 2)) J) (+.f64 (.f64 2 l) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 1/3 (pow.f64 l 3)))))
9.0ms	(*.f64 1/60 (pow.f64 l 5))
9.0ms	(*.f64 1/3 (pow.f64 l 3))
5.0ms	(*.f64 (cos.f64 (/.f64 K 2)) J)

Compiler

Compiled 2822 to 2162 computations (23.4% saved)

series282.0ms (1.9%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

175.0ms	(.f64 (.f64 (cos.f64 (/.f64 K 2)) J) (+.f64 (.f64 2 l) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 1/3 (pow.f64 l 3)))))
34.0ms	(*.f64 (cos.f64 (/.f64 K 2)) J)
16.0ms	(*.f64 1/3 (pow.f64 l 3))
15.0ms	(*.f64 1/60 (pow.f64 l 5))

Compiler

Compiled 2072 to 1584 computations (23.6% saved)

simplify132.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

829×	`distribute-rgt-in_binary64`
818×	`distribute-lft-in_binary64`
358×	`associate-l_binary64`
323×	`associate-r_binary64`
196×	`cancel-sign-sub-inv_binary64`

Counts

125 → 74

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	253	2906
1	598	2576
2	2054	2539
3	5830	2539

prune118.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	74	5	79

Error

0.0b

Counts

79 → 5

Alt Table

Status	Error	Program
✓	0.2b	(+.f64 U (.f64 (.f64 (cos.f64 (/.f64 K 2)) J) (+.f64 (.f64 2 l) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 1/3 (pow.f64 l 3))))))
	17.8b	(+.f64 U (.f64 (sqrt.f64 (cos.f64 (/.f64 K 2))) (.f64 (.f64 J (+.f64 (+.f64 l l) (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))) (sqrt.f64 (cos.f64 (/.f64 K 2))))))
✓	0.2b	(+.f64 U (+.f64 (.f64 (cos.f64 (/.f64 K 2)) (.f64 2 (.f64 J l))) (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5)))))))
	11.0b	(+.f64 U (cbrt.f64 (pow.f64 (.f64 (cos.f64 (/.f64 K 2)) (.f64 J (+.f64 (+.f64 l l) (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5)))))) 3)))
	18.3b	(+.f64 (.f64 (.f64 J (/.f64 (-.f64 (pow.f64 (exp.f64 l) 2) (pow.f64 (exp.f64 l) -2)) (+.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 1233 to 922 computations (25.2% saved)

regimes2.1s (13.9%)

Accuracy

Total 0.1b remaining (52.9%)

Threshold costs 0.1b (52.9%)

Compiler

Compiled 26067 to 19690 computations (24.5% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	17	20
2	17	20

end1.0ms (0%)

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

sample7.2s (48.1%)

Algorithm

1×

intervals

Results

1.6s	1684×	body	1024	valid
1.5s	1963×	body	1024	invalid
734.0ms	4423×	body	128	valid
617.0ms	1174×	body	512	valid
531.0ms	3403×	body	128	invalid
416.0ms	939×	body	512	invalid
204.0ms	669×	body	256	valid
143.0ms	464×	body	256	invalid
84.0ms	50×	body	2048	valid

Compiler

Compiled 199 to 152 computations (23.6% saved)

Details

analyze1.4s (9.1%)

sample246.0ms (1.7%)

simplify119.0ms (0.8%)

prune3.0ms (0%)

localize25.0ms (0.2%)

rewrite115.0ms (0.8%)

series191.0ms (1.3%)

simplify204.0ms (1.4%)

prune77.0ms (0.5%)

localize34.0ms (0.2%)

rewrite408.0ms (2.7%)

series368.0ms (2.5%)

simplify247.0ms (1.7%)

prune148.0ms (1%)

localize40.0ms (0.3%)

rewrite349.0ms (2.3%)

series385.0ms (2.6%)

simplify175.0ms (1.2%)

prune244.0ms (1.6%)

localize31.0ms (0.2%)

rewrite345.0ms (2.3%)

series282.0ms (1.9%)

simplify132.0ms (0.9%)

prune118.0ms (0.8%)

regimes2.1s (13.9%)

simplify5.0ms (0%)

end1.0ms (0%)

sample7.2s (48.1%)

Profiling