Details

analyze477.0ms (5%)

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)

sample82.0ms (0.9%)

Algorithm

1×

intervals

Results

17.0ms	45×	body	1024	valid
13.0ms	161×	body	128	valid
13.0ms	52×	body	1024	invalid
7.0ms	30×	body	512	valid
6.0ms	96×	body	128	invalid
4.0ms	23×	body	512	invalid
2.0ms	17×	body	256	valid
1.0ms	3×	body	2048	valid
1.0ms	11×	body	256	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify185.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (96.0ms)

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

13.9b

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)))
5.6b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite44.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
11×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
10×	`add-cube-cbrt_binary64_795`
9×	`cancel-sign-sub-inv_binary64_726` `associate-r_binary64_700`
8×	`add-log-exp_binary64_799`
4×	`prod-exp_binary64_809` `distribute-lft-in_binary64_709` `distribute-rgt-in_binary64_710` `associate-l_binary64_701` `associate-*r/_binary64_702` `cbrt-unprod_binary64_793` `pow-prod-down_binary64_831`
3×	`sub-neg_binary64_753` `flip--_binary64_735` `flip3--_binary64_764`
2×	`associate-l/_binary64_703` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `sinh-undef_binary64_953` `-commutative_binary64_691`
1×	`diff-log_binary64_852` `unswap-sqr_binary64_728` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851`

Counts

4 → 79

Calls

4 calls:

13.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
10.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
9.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series963.0ms (10%)

Counts

4 → 48

Calls

4 calls:

573.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
275.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
86.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
29.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1413 to 1263 computations (10.6% saved)

simplify85.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5335	2484

prune119.0ms (1.2%)

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 2479 to 1105 computations (55.4% saved)

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(*.f64 1/60 (pow.f64 l 5))
0.1b	(*.f64 1/3 (pow.f64 l 3))
0.1b	(.f64 (+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5)))) (.f64 J (+.f64 (+.f64 l l) (.f64 1/2520 (pow.f64 l 7))))) (cos.f64 (/.f64 K 2)))
4.1b	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

14.0ms	(.f64 (+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5)))) (.f64 J (+.f64 (+.f64 l l) (.f64 1/2520 (pow.f64 l 7))))) (cos.f64 (/.f64 K 2)))
9.0ms	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))
7.0ms	(*.f64 1/3 (pow.f64 l 3))
6.0ms	(*.f64 1/60 (pow.f64 l 5))

series1.0s (10.5%)

Counts

4 → 36

Calls

4 calls:

693.0ms	(.f64 (+.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5)))) (.f64 J (+.f64 (+.f64 l l) (.f64 1/2520 (pow.f64 l 7))))) (cos.f64 (/.f64 K 2)))
239.0ms	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (*.f64 1/60 (pow.f64 l 5))))
41.0ms	(*.f64 1/60 (pow.f64 l 5))
37.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 2002 to 1664 computations (16.9% saved)

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5213	3983

prune343.0ms (3.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	136	3	139
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	136	5	141

Error

0.0b

Counts

141 → 5

Compiler

Compiled 5984 to 4235 computations (29.2% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite63.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

18.0ms	(.f64 J (.f64 (cos.f64 (/.f64 K 2)) (+.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5))) (+.f64 (+.f64 l l) (*.f64 1/2520 (pow.f64 l 7))))))
17.0ms	(.f64 (cos.f64 (/.f64 K 2)) (+.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5))) (+.f64 (+.f64 l l) (.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))

series1.0s (10.9%)

Counts

4 → 45

Calls

4 calls:

628.0ms	(.f64 J (.f64 (cos.f64 (/.f64 K 2)) (+.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5))) (+.f64 (+.f64 l l) (*.f64 1/2520 (pow.f64 l 7))))))
341.0ms	(.f64 (cos.f64 (/.f64 K 2)) (+.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (.f64 1/60 (pow.f64 l 5))) (+.f64 (+.f64 l l) (.f64 1/2520 (pow.f64 l 7)))))
38.0ms	(*.f64 1/60 (pow.f64 l 5))
36.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 2276 to 1939 computations (14.8% saved)

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5178	5802

prune394.0ms (4.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	156	5	161

Error

Counts

161 → 5

Compiler

Compiled 6835 to 4903 computations (28.3% saved)

localize25.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))
0.3b	(cbrt.f64 (cos.f64 (/.f64 K 2)))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_791`
23×	`add-sqr-sqrt_binary64_782`
15×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
11×	`pow1_binary64_821`
9×	`pow1/3_binary64_842`
6×	`add-exp-log_binary64_798` `swap-sqr_binary64_727` `associate-r_binary64_700` `associate-l_binary64_701`
4×	`unswap-sqr_binary64_728` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796`
2×	`pow-sqr_binary64_733` `pow-prod-up_binary64_830` `pow-prod-down_binary64_831`
1×	`pow2_binary64_841` `prod-exp_binary64_809` `pow-plus_binary64_823` `cbrt-unprod_binary64_793` `*-commutative_binary64_691`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
1.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

series370.0ms (3.9%)

Counts

4 → 24

Calls

4 calls:

120.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
87.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
81.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
81.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

Compiler

Compiled 1432 to 1240 computations (13.4% saved)

simplify96.0ms (1%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5353	1257

prune235.0ms (2.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	97	5	102

Error

Counts

102 → 5

Compiler

Compiled 4462 to 3368 computations (24.5% saved)

regimes403.0ms (4.2%)

Accuracy

Total 0.3b remaining (90.8%)

Threshold costs 0.3b (90.8%)

Compiler

Compiled 4958 to 4380 computations (11.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	48
1	38	48

end0.0ms (0%)

sample3.4s (35.4%)

Algorithm

1×

intervals

Results

708.0ms	1688×	body	1024	valid
532.0ms	1998×	body	1024	invalid
297.0ms	4389×	body	128	valid
275.0ms	1195×	body	512	valid
244.0ms	3554×	body	128	invalid
185.0ms	912×	body	512	invalid
95.0ms	667×	body	256	valid
59.0ms	453×	body	256	invalid
38.0ms	61×	body	2048	valid

Compiler

Compiled 522 to 457 computations (12.5% saved)

Details

analyze477.0ms (5%)

sample82.0ms (0.9%)

simplify185.0ms (1.9%)

prune3.0ms (0%)

localize12.0ms (0.1%)

rewrite44.0ms (0.5%)

series963.0ms (10%)

simplify85.0ms (0.9%)

prune119.0ms (1.2%)

localize24.0ms (0.3%)

rewrite48.0ms (0.5%)

series1.0s (10.5%)

simplify74.0ms (0.8%)

prune343.0ms (3.6%)

localize21.0ms (0.2%)

rewrite63.0ms (0.7%)

series1.0s (10.9%)

simplify70.0ms (0.7%)

prune394.0ms (4.1%)

localize25.0ms (0.3%)

rewrite19.0ms (0.2%)

series370.0ms (3.9%)

simplify96.0ms (1%)

prune235.0ms (2.4%)

regimes403.0ms (4.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.4s (35.4%)

Profiling