Details

analyze469.0ms (3.4%)

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 16 to 15 computations (6.3% saved)

sample94.0ms (0.7%)

Algorithm

1×

intervals

Results

20.0ms	49×	body	1024	valid
18.0ms	74×	body	1024	invalid
9.0ms	150×	body	128	valid
8.0ms	35×	body	512	valid
7.0ms	36×	body	512	invalid
6.0ms	88×	body	128	invalid
3.0ms	20×	body	256	valid
1.0ms	9×	body	256	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify192.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4815	24
1	4815	24

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

17.2b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
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)))
5.1b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite130.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

16×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
11×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`add-cube-cbrt_binary64_795`
9×	`cancel-sign-sub-inv_binary64_726` `associate-r_binary64_700`
8×	`add-log-exp_binary64_799`
4×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `associate-r/_binary64_702` `associate-l*_binary64_701` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709`
3×	`flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735`
2×	`sinh-undef_binary64_953` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `associate-l/_binary64_703` `-commutative_binary64_691`
1×	`diff-log_binary64_852` `unswap-sqr_binary64_728` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690`

Counts

4 → 79

Calls

4 calls:

12.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
11.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
9.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1954 to 737 computations (62.3% saved)

series955.0ms (7%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

534.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
255.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
85.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
28.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 2380 to 1804 computations (24.2% saved)

simplify69.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4977	2491
1	4977	2491

prune124.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	2	128

Error

0.0b

Counts

128 → 2

Compiler

Compiled 2500 to 1112 computations (55.5% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 1/60 (pow.f64 l 5))
0.1b	(.f64 (+.f64 (.f64 J (+.f64 (+.f64 l l) (.f64 1/60 (pow.f64 l 5)))) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/2520 (pow.f64 l 7))))) (cos.f64 (/.f64 K 2)))
0.1b	(*.f64 1/3 (pow.f64 l 3))
4.8b	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/2520 (pow.f64 l 7))))

rewrite312.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

31×	`add-sqr-sqrt_binary64_782`
25×	`associate-r_binary64_700`
18×	`add-exp-log_binary64_798`
15×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
13×	`associate-l_binary64_701`
12×	`add-cbrt-cube_binary64_796`
10×	`associate-*r/_binary64_702`
9×	`unswap-sqr_binary64_728`
8×	`pow1_binary64_821` `prod-exp_binary64_809` `unpow-prod-down_binary64_839`
6×	`flip3-+_binary64_763` `flip-+_binary64_734` `associate-*l/_binary64_703`
4×	`add-log-exp_binary64_799` `cbrt-unprod_binary64_793` `*-commutative_binary64_691` `cube-prod_binary64_788` `sqr-pow_binary64_732` `frac-add_binary64_768`
2×	`pow-prod-down_binary64_831` `pow-to-exp_binary64_829` `pow-exp_binary64_828`
1×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `unpow3_binary64_826` `cube-mult_binary64_790` `distribute-lft-out_binary64_711`

Counts

4 → 103

Calls

4 calls:

16.0ms	(.f64 (+.f64 (.f64 J (+.f64 (+.f64 l l) (.f64 1/60 (pow.f64 l 5)))) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/2520 (pow.f64 l 7))))) (cos.f64 (/.f64 K 2)))
8.0ms	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/2520 (pow.f64 l 7))))
7.0ms	(*.f64 1/3 (pow.f64 l 3))
6.0ms	(*.f64 1/60 (pow.f64 l 5))

Compiler

Compiled 4826 to 3433 computations (28.9% saved)

series1.1s (8%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

678.0ms	(.f64 (+.f64 (.f64 J (+.f64 (+.f64 l l) (.f64 1/60 (pow.f64 l 5)))) (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/2520 (pow.f64 l 7))))) (cos.f64 (/.f64 K 2)))
263.0ms	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/2520 (pow.f64 l 7))))
42.0ms	(*.f64 1/60 (pow.f64 l 5))
34.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 3437 to 2683 computations (21.9% saved)

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5177	3971

prune352.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	135	6	141

Error

0.0b

Counts

141 → 6

Compiler

Compiled 6071 to 4309 computations (29% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 1/60 (.f64 (cos.f64 (*.f64 1/2 K)) (pow.f64 l 5)))
0.1b	(.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (*.f64 1/2 K))))
0.1b	(.f64 J (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))) (.f64 1/60 (.f64 (cos.f64 (*.f64 1/2 K)) (pow.f64 l 5)))))))
0.1b	(.f64 l (cos.f64 (.f64 1/2 K)))

rewrite310.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`add-exp-log_binary64_798`
18×	`add-cbrt-cube_binary64_796`
16×	`prod-exp_binary64_809`
14×	`add-sqr-sqrt_binary64_782`
12×	`pow1_binary64_821` `associate-l_binary64_701`
10×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
8×	`cbrt-unprod_binary64_793` `associate-r_binary64_700`
4×	`pow-prod-down_binary64_831` `add-log-exp_binary64_799` `*-commutative_binary64_691`
2×	`unswap-sqr_binary64_728` `associate-*r/_binary64_702` `pow-to-exp_binary64_829` `pow-exp_binary64_828`
1×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `flip3-+_binary64_763` `flip-+_binary64_734`

Counts

4 → 78

Calls

4 calls:

18.0ms	(.f64 J (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))) (.f64 1/60 (.f64 (cos.f64 (*.f64 1/2 K)) (pow.f64 l 5)))))))
7.0ms	(.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (*.f64 1/2 K))))
7.0ms	(.f64 1/60 (.f64 (cos.f64 (*.f64 1/2 K)) (pow.f64 l 5)))
5.0ms	(.f64 l (cos.f64 (.f64 1/2 K)))

Compiler

Compiled 4655 to 3666 computations (21.2% saved)

series1.4s (10.1%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

901.0ms	(.f64 J (+.f64 (.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 1/2520 (.f64 (pow.f64 l 7) (cos.f64 (.f64 1/2 K)))) (+.f64 (.f64 2 (.f64 l (cos.f64 (.f64 1/2 K)))) (.f64 1/60 (.f64 (cos.f64 (*.f64 1/2 K)) (pow.f64 l 5)))))))
145.0ms	(.f64 1/60 (.f64 (cos.f64 (*.f64 1/2 K)) (pow.f64 l 5)))
127.0ms	(.f64 1/3 (.f64 (pow.f64 l 3) (cos.f64 (*.f64 1/2 K))))
111.0ms	(.f64 l (cos.f64 (.f64 1/2 K)))

Compiler

Compiled 4944 to 4016 computations (18.8% saved)

simplify84.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5000	3488

prune377.0ms (2.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	4	4
Picked	0	1	1
Done	1	0	1
Total	120	6	126

Error

Counts

126 → 6

Compiler

Compiled 6100 to 4754 computations (22.1% saved)

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/3 (pow.f64 l 3))
0.1b	(.f64 (cos.f64 (.f64 1/2 K)) J)
0.1b	(.f64 (cos.f64 (.f64 1/2 K)) J)
3.5b	(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 (pow.f64 l 7) 1/2520)))

rewrite250.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`add-sqr-sqrt_binary64_782`
21×	`associate-r_binary64_700`
18×	`add-exp-log_binary64_798`
15×	`add-cbrt-cube_binary64_796`
13×	`pow1_binary64_821` `add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
10×	`associate-l_binary64_701`
8×	`prod-exp_binary64_809`
6×	`cbrt-unprod_binary64_793` `unswap-sqr_binary64_728`
5×	`pow-prod-down_binary64_831`
4×	`add-log-exp_binary64_799` `*-commutative_binary64_691` `unpow-prod-down_binary64_839` `cube-prod_binary64_788`
2×	`associate-*r/_binary64_702` `sqr-pow_binary64_732`
1×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `flip3-+_binary64_763` `flip-+_binary64_734` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow3_binary64_826` `cube-mult_binary64_790`

Counts

4 → 89

Calls

4 calls:

10.0ms	(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 (pow.f64 l 7) 1/2520)))
7.0ms	(*.f64 1/3 (pow.f64 l 3))
5.0ms	(.f64 (cos.f64 (.f64 1/2 K)) J)
5.0ms	(.f64 (cos.f64 (.f64 1/2 K)) J)

Compiler

Compiled 4032 to 2899 computations (28.1% saved)

series775.0ms (5.7%)

Error

Counts

4 → 30

Calls

4 calls:

494.0ms	(.f64 (.f64 (cos.f64 (.f64 1/2 K)) J) (+.f64 (.f64 1/60 (pow.f64 l 5)) (*.f64 (pow.f64 l 7) 1/2520)))
96.0ms	(.f64 (cos.f64 (.f64 1/2 K)) J)
92.0ms	(.f64 (cos.f64 (.f64 1/2 K)) J)
36.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 3173 to 2496 computations (21.3% saved)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5121	1828

prune258.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	119	6	125

Error

Counts

125 → 6

Compiler

Compiled 4903 to 3480 computations (29% saved)

regimes1.4s (10%)

Accuracy

Total 0.3b remaining (91.1%)

Threshold costs 0.3b (91.1%)

Compiler

Compiled 21478 to 17790 computations (17.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	43	54
1	43	54

end0.0ms (0%)

sample4.8s (35.3%)

Algorithm

1×

intervals

Results

672.0ms	1633×	body	1024	valid
545.0ms	2005×	body	1024	invalid
297.0ms	4470×	body	128	valid
258.0ms	1145×	body	512	valid
227.0ms	3372×	body	128	invalid
186.0ms	986×	body	512	invalid
93.0ms	694×	body	256	valid
62.0ms	461×	body	256	invalid
35.0ms	58×	body	2048	valid

Compiler

Compiled 2178 to 1801 computations (17.3% saved)

Details

analyze469.0ms (3.4%)

sample94.0ms (0.7%)

simplify192.0ms (1.4%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite130.0ms (1%)

series955.0ms (7%)

simplify69.0ms (0.5%)

prune124.0ms (0.9%)

localize21.0ms (0.2%)

rewrite312.0ms (2.3%)

series1.1s (8%)

simplify79.0ms (0.6%)

prune352.0ms (2.6%)

localize26.0ms (0.2%)

rewrite310.0ms (2.3%)

series1.4s (10.1%)

simplify84.0ms (0.6%)

prune377.0ms (2.8%)

localize22.0ms (0.2%)

rewrite250.0ms (1.8%)

series775.0ms (5.7%)

simplify60.0ms (0.4%)

prune258.0ms (1.9%)

regimes1.4s (10%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.8s (35.3%)

Profiling