Details

analyze763.0ms (7.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5058	168
0	4	4
1	4	4

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)

sample123.0ms (1.2%)

Algorithm

1×

intervals

Results

25.0ms	51×	body	1024	valid
24.0ms	67×	body	1024	invalid
11.0ms	40×	body	512	valid
11.0ms	134×	body	128	valid
8.0ms	105×	body	128	invalid
7.0ms	31×	body	512	invalid
5.0ms	28×	body	256	valid
3.0ms	18×	body	256	invalid
3.0ms	3×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (109.0ms)

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

18.9b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize18.0ms (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)))
5.4b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite107.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64_782`
13×	`*-un-lft-identity_binary64_760`
10×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`add-cube-cbrt_binary64_795` `cancel-sign-sub-inv_binary64_726` `associate-r_binary64_700`
5×	`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`

Counts

3 → 68

Calls

3 calls:

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

Compiler

Compiled 1608 to 602 computations (62.6% saved)

series456.0ms (4.5%)

Error

0.0b

Counts

3 → 21

Calls

3 calls:

290.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
118.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
26.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 997 to 783 computations (21.5% saved)

simplify86.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5286	1464

prune89.0ms (0.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	88	2	90

Error

0.0b

Counts

90 → 2

Compiler

Compiled 1722 to 732 computations (57.5% saved)

localize16.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite142.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

2 → 51

Calls

2 calls:

15.0ms	(.f64 (.f64 J (+.f64 (+.f64 l l) (*.f64 1/3 (pow.f64 l 3)))) (cos.f64 (/.f64 K 2)))
7.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 1364 to 894 computations (34.5% saved)

series544.0ms (5.4%)

Error

0.0b

Counts

2 → 17

Calls

2 calls:

491.0ms	(.f64 (.f64 J (+.f64 (+.f64 l l) (*.f64 1/3 (pow.f64 l 3)))) (cos.f64 (/.f64 K 2)))
32.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 1051 to 849 computations (19.2% saved)

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5220	1188

prune98.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	64	4	68
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	6	70

Error

Counts

70 → 6

Compiler

Compiled 1674 to 1094 computations (34.6% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite148.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

3 → 71

Calls

3 calls:

16.0ms	(.f64 J (.f64 (+.f64 (*.f64 1/3 (pow.f64 l 3)) (+.f64 l l)) (cos.f64 (/.f64 K 2))))
12.0ms	(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 l l)) (cos.f64 (/.f64 K 2)))
7.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 1972 to 1279 computations (35.1% saved)

series811.0ms (8%)

Error

Counts

3 → 28

Calls

3 calls:

439.0ms	(.f64 J (.f64 (+.f64 (*.f64 1/3 (pow.f64 l 3)) (+.f64 l l)) (cos.f64 (/.f64 K 2))))
293.0ms	(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 l l)) (cos.f64 (/.f64 K 2)))
35.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 1699 to 1393 computations (18% saved)

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5180	1919

prune137.0ms (1.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	100	5	105

Error

Counts

105 → 5

Compiler

Compiled 2371 to 1530 computations (35.5% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
0.1b	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
0.1b	(.f64 (cos.f64 (.f64 1/2 K)) J)

rewrite97.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

19×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
9×	`add-sqr-sqrt_binary64_782` `associate-l_binary64_701`
7×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
5×	`associate-r_binary64_700`
3×	`add-log-exp_binary64_799` `*-commutative_binary64_691`
1×	`unswap-sqr_binary64_728`

Counts

3 → 57

Calls

3 calls:

8.0ms	(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
6.0ms	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
5.0ms	(.f64 (cos.f64 (.f64 1/2 K)) J)

Compiler

Compiled 1089 to 757 computations (30.5% saved)

series613.0ms (6.1%)

Error

Counts

3 → 30

Calls

3 calls:

246.0ms	(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
239.0ms	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
99.0ms	(.f64 (cos.f64 (.f64 1/2 K)) J)

Compiler

Compiled 1155 to 949 computations (17.8% saved)

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4858	1191
1	4858	1191

prune95.0ms (0.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	1	2
Picked	1	0	1
Done	0	2	2
Total	88	4	92

Error

Counts

92 → 4

Compiler

Compiled 1302 to 849 computations (34.8% saved)

regimes773.0ms (7.7%)

Accuracy

Total 0.4b remaining (94.6%)

Threshold costs 0.4b (94.6%)

Compiler

Compiled 8463 to 7156 computations (15.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	27
1	23	27

end0.0ms (0%)

sample4.6s (45.8%)

Algorithm

1×

intervals

Results

789.0ms	1580×	body	1024	valid
640.0ms	1993×	body	1024	invalid
365.0ms	4494×	body	128	valid
327.0ms	1191×	body	512	valid
284.0ms	3404×	body	128	invalid
244.0ms	989×	body	512	invalid
117.0ms	682×	body	256	valid
85.0ms	540×	body	256	invalid
38.0ms	53×	body	2048	valid

Compiler

Compiled 866 to 733 computations (15.4% saved)

Details

analyze763.0ms (7.6%)

sample123.0ms (1.2%)

simplify115.0ms (1.1%)

prune3.0ms (0%)

localize18.0ms (0.2%)

rewrite107.0ms (1.1%)

series456.0ms (4.5%)

simplify86.0ms (0.9%)

prune89.0ms (0.9%)

localize16.0ms (0.2%)

rewrite142.0ms (1.4%)

series544.0ms (5.4%)

simplify50.0ms (0.5%)

prune98.0ms (1%)

localize13.0ms (0.1%)

rewrite148.0ms (1.5%)

series811.0ms (8%)

simplify62.0ms (0.6%)

prune137.0ms (1.4%)

localize9.0ms (0.1%)

rewrite97.0ms (1%)

series613.0ms (6.1%)

simplify93.0ms (0.9%)

prune95.0ms (0.9%)

regimes773.0ms (7.7%)

bsearch0.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample4.6s (45.8%)

Profiling