Details

analyze499.0ms (5.5%)

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)

sample97.0ms (1.1%)

Algorithm

1×

intervals

Results

20.0ms	67×	body	1024	invalid
19.0ms	41×	body	1024	valid
11.0ms	160×	body	128	valid
8.0ms	32×	body	512	valid
7.0ms	109×	body	128	invalid
7.0ms	33×	body	512	invalid
3.0ms	21×	body	256	valid
2.0ms	14×	body	256	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify267.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4774	24
1	4774	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

Merged error: 13.9b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize13.0ms (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)))
8.5b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite49.0ms (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:

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)))
10.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

series776.0ms (8.6%)

Counts

4 → 12

Calls

4 calls:

433.0ms	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)
200.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
105.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
39.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

simplify71.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5030	1710

prune92.0ms (1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	1	92

Merged error: 0.1b

Counts

92 → 1

Compiler

Compiled 1875 to 798 computations (57.4% saved)

localize18.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (*.f64 1/60 (pow.f64 l 5)) (+.f64 l l))))
0.0b	(*.f64 1/60 (pow.f64 l 5))
0.1b	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l)))) (cos.f64 (/.f64 K 2)))
0.2b	(*.f64 1/3 (pow.f64 l 3))

rewrite57.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

17.0ms	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l)))) (cos.f64 (/.f64 K 2)))
16.0ms	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (*.f64 1/60 (pow.f64 l 5)) (+.f64 l l))))
7.0ms	(*.f64 1/3 (pow.f64 l 3))
6.0ms	(*.f64 1/60 (pow.f64 l 5))

series602.0ms (6.6%)

Counts

4 → 12

Calls

4 calls:

284.0ms	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l)))) (cos.f64 (/.f64 K 2)))
210.0ms	(.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (*.f64 1/60 (pow.f64 l 5)) (+.f64 l l))))
63.0ms	(*.f64 1/60 (pow.f64 l 5))
44.0ms	(*.f64 1/3 (pow.f64 l 3))

simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5218	2047

prune192.0ms (2.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	5	110
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	105	6	111

Merged error: 0.0b

Counts

111 → 6

Compiler

Compiled 3531 to 2437 computations (31% 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 J (.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l))) (cos.f64 (/.f64 K 2))))
0.1b	(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (*.f64 1/60 (pow.f64 l 5)) (+.f64 l l))) (cos.f64 (/.f64 K 2)))
0.2b	(*.f64 1/3 (pow.f64 l 3))

rewrite57.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_782`
23×	`associate-r_binary64_700`
21×	`add-exp-log_binary64_798`
15×	`add-cbrt-cube_binary64_796`
14×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
12×	`associate-l_binary64_701`
11×	`pow1_binary64_821`
10×	`prod-exp_binary64_809`
8×	`unswap-sqr_binary64_728` `unpow-prod-down_binary64_839`
6×	`cbrt-unprod_binary64_793`
4×	`associate-l/_binary64_703` `add-log-exp_binary64_799` `sqr-pow_binary64_732` `cube-prod_binary64_788` `pow-prod-down_binary64_831` `-commutative_binary64_691`
2×	`flip3-+_binary64_763` `pow-exp_binary64_828` `flip-+_binary64_734` `pow-to-exp_binary64_829` `associate-*r/_binary64_702`
1×	`cube-mult_binary64_790` `unpow3_binary64_826`

Counts

4 → 96

Calls

4 calls:

17.0ms	(.f64 J (.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l))) (cos.f64 (/.f64 K 2))))
16.0ms	(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (*.f64 1/60 (pow.f64 l 5)) (+.f64 l l))) (cos.f64 (/.f64 K 2)))
7.0ms	(*.f64 1/3 (pow.f64 l 3))
7.0ms	(*.f64 1/60 (pow.f64 l 5))

series488.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

271.0ms	(.f64 J (.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l))) (cos.f64 (/.f64 K 2))))
109.0ms	(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (*.f64 1/60 (pow.f64 l 5)) (+.f64 l l))) (cos.f64 (/.f64 K 2)))
62.0ms	(*.f64 1/60 (pow.f64 l 5))
46.0ms	(*.f64 1/3 (pow.f64 l 3))

simplify109.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4916	2106
1	4916	2106

prune187.0ms (2.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	108	6	114

Merged error: 0b

Counts

114 → 6

Compiler

Compiled 3456 to 2393 computations (30.8% saved)

localize21.0ms (0.2%)

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:

7.0ms	(*.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)))

series543.0ms (6%)

Counts

4 → 12

Calls

4 calls:

183.0ms	(*.f64 (cbrt.f64 (cos.f64 (/.f64 K 2))) (cbrt.f64 (cos.f64 (/.f64 K 2))))
127.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
122.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))
111.0ms	(cbrt.f64 (cos.f64 (/.f64 K 2)))

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4874	1101
1	4874	1101

prune184.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	85	6	91

Merged error: 0b

Counts

91 → 6

Compiler

Compiled 3406 to 2546 computations (25.2% saved)

regimes512.0ms (5.7%)

Compiler: Compiled 6816 to 5726 computations (16% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	36
1	29	36

end0.0ms (0%)

sample4.0s (44.5%)

Algorithm

1×

intervals

Results

795.0ms	1659×	body	1024	valid
608.0ms	1939×	body	1024	invalid
438.0ms	3401×	body	128	invalid
323.0ms	4346×	body	128	valid
314.0ms	1245×	body	512	valid
204.0ms	967×	body	512	invalid
102.0ms	691×	body	256	valid
70.0ms	483×	body	256	invalid
41.0ms	59×	body	2048	valid

Compiler

Compiled 711 to 598 computations (15.9% saved)

Details

analyze499.0ms (5.5%)

sample97.0ms (1.1%)

simplify267.0ms (2.9%)

prune3.0ms (0%)

localize13.0ms (0.1%)

rewrite49.0ms (0.5%)

series776.0ms (8.6%)

simplify71.0ms (0.8%)

prune92.0ms (1%)

localize18.0ms (0.2%)

rewrite57.0ms (0.6%)

series602.0ms (6.6%)

simplify73.0ms (0.8%)

prune192.0ms (2.1%)

localize21.0ms (0.2%)

rewrite57.0ms (0.6%)

series488.0ms (5.4%)

simplify109.0ms (1.2%)

prune187.0ms (2.1%)

localize21.0ms (0.2%)

rewrite19.0ms (0.2%)

series543.0ms (6%)

simplify75.0ms (0.8%)

prune184.0ms (2%)

regimes512.0ms (5.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.0s (44.5%)

Profiling