Details

analyze600.0ms (5%)

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

Symmetry

Compiler

Compiled 16 to 15 computations (6.3% saved)

sample97.0ms (0.8%)

Algorithm

1×

intervals

Results

22.0ms	48×	body	1024	valid
13.0ms	51×	body	1024	invalid
9.0ms	143×	body	128	valid
8.0ms	118×	body	128	invalid
7.0ms	33×	body	512	valid
6.0ms	33×	body	512	invalid
4.0ms	28×	body	256	valid
3.0ms	24×	body	256	invalid
2.0ms	4×	body	2048	valid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

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

17.5b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize15.0ms (0.1%)

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)))
6.9b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite96.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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:

10.0ms	(.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 1608 to 602 computations (62.6% saved)

series423.0ms (3.5%)

Error

0.1b

Counts

3 → 28

Calls

3 calls:

265.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
98.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
29.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1414 to 1085 computations (23.3% saved)

simplify97.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4888	1717
1	4888	1717

prune97.0ms (0.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	93	4	97

Error

0.0b

Counts

97 → 4

Compiler

Compiled 1959 to 889 computations (54.6% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite209.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

24×	`add-sqr-sqrt_binary64_782`
22×	`associate-r_binary64_700`
19×	`add-exp-log_binary64_798`
13×	`add-cbrt-cube_binary64_796`
12×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
9×	`pow1_binary64_821` `prod-exp_binary64_809`
8×	`unpow-prod-down_binary64_839`
7×	`associate-l_binary64_701` `unswap-sqr_binary64_728`
6×	`add-log-exp_binary64_799`
5×	`cbrt-unprod_binary64_793`
4×	`cube-prod_binary64_788` `sqr-pow_binary64_732`
3×	`pow-prod-down_binary64_831` `*-commutative_binary64_691`
2×	`flip3-+_binary64_763` `associate-r/_binary64_702` `associate-l/_binary64_703` `flip-+_binary64_734` `pow-to-exp_binary64_829` `pow-exp_binary64_828`
1×	`unpow3_binary64_826` `cube-mult_binary64_790` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 87

Calls

4 calls:

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

Compiler

Compiled 3046 to 2116 computations (30.5% saved)

series1.7s (14.3%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

943.0ms	(+.f64 (.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (+.f64 l l) (.f64 1/60 (pow.f64 l 5))))) (cos.f64 (/.f64 K 2))) U)
623.0ms	(.f64 (.f64 J (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (+.f64 l l) (.f64 1/60 (pow.f64 l 5))))) (cos.f64 (/.f64 K 2)))
39.0ms	(*.f64 1/60 (pow.f64 l 5))
35.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 3610 to 2910 computations (19.4% saved)

simplify77.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4997	3152
1	4997	3152

prune220.0ms (1.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	134	7	141

Error

0.0b

Counts

141 → 7

Compiler

Compiled 3932 to 2700 computations (31.3% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite227.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Error

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×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
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×	`pow-prod-down_binary64_831` `add-log-exp_binary64_799` `associate-l/_binary64_703` `-commutative_binary64_691` `cube-prod_binary64_788` `sqr-pow_binary64_732`
2×	`flip3-+_binary64_763` `flip-+_binary64_734` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `associate-*r/_binary64_702`
1×	`unpow3_binary64_826` `cube-mult_binary64_790`

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 1/2 K))))
15.0ms	(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l))) (cos.f64 (.f64 1/2 K)))
9.0ms	(*.f64 1/60 (pow.f64 l 5))
7.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 3335 to 2317 computations (30.5% saved)

series1.1s (9.1%)

Error

0.0b

Counts

4 → 35

Calls

4 calls:

594.0ms	(.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 1/2 K))))
383.0ms	(.f64 (+.f64 (.f64 1/3 (pow.f64 l 3)) (+.f64 (.f64 1/60 (pow.f64 l 5)) (+.f64 l l))) (cos.f64 (.f64 1/2 K)))
42.0ms	(*.f64 1/60 (pow.f64 l 5))
31.0ms	(*.f64 1/3 (pow.f64 l 3))

Compiler

Compiled 2528 to 2080 computations (17.7% saved)

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4965	2804
1	4965	2804

prune215.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	127	4	131
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	130	8	138

Error

Counts

138 → 8

Compiler

Compiled 3976 to 2744 computations (31% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
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)

rewrite113.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`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` `add-sqr-sqrt_binary64_782`
9×	`associate-l_binary64_701`
8×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
6×	`add-log-exp_binary64_799`
5×	`associate-r_binary64_700`
3×	`*-commutative_binary64_691`
1×	`unswap-sqr_binary64_728` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690`

Counts

4 → 68

Calls

4 calls:

9.0ms	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
8.0ms	(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
7.0ms	(.f64 (cos.f64 (.f64 1/2 K)) J)
6.0ms	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))

Compiler

Compiled 1372 to 955 computations (30.4% saved)

series799.0ms (6.7%)

Error

Counts

4 → 49

Calls

4 calls:

317.0ms	(+.f64 (.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J))) U)
190.0ms	(.f64 2 (.f64 l (.f64 (cos.f64 (.f64 1/2 K)) J)))
178.0ms	(.f64 l (.f64 (cos.f64 (*.f64 1/2 K)) J))
83.0ms	(.f64 (cos.f64 (.f64 1/2 K)) J)

Compiler

Compiled 1552 to 1321 computations (14.9% saved)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4957	1726
1	4957	1726

prune99.0ms (0.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	117	8	125

Error

Counts

125 → 8

Compiler

Compiled 1692 to 1085 computations (35.9% saved)

regimes1.1s (9.4%)

Accuracy

Total 0.1b remaining (83.4%)

Threshold costs 0.1b (83.4%)

Compiler

Compiled 15715 to 12980 computations (17.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	20
1	17	20

Removed

()

end0.0ms (0%)

sample4.3s (36.1%)

Algorithm

1×

intervals

Results

684.0ms	1661×	body	1024	valid
505.0ms	1944×	body	1024	invalid
301.0ms	4377×	body	128	valid
259.0ms	1203×	body	512	valid
227.0ms	3376×	body	128	invalid
192.0ms	995×	body	512	invalid
102.0ms	708×	body	256	valid
64.0ms	508×	body	256	invalid
29.0ms	51×	body	2048	valid

Compiler

Compiled 1566 to 1295 computations (17.3% saved)

Details

analyze600.0ms (5%)

sample97.0ms (0.8%)

simplify101.0ms (0.8%)

prune3.0ms (0%)

localize15.0ms (0.1%)

rewrite96.0ms (0.8%)

series423.0ms (3.5%)

simplify97.0ms (0.8%)

prune97.0ms (0.8%)

localize19.0ms (0.2%)

rewrite209.0ms (1.8%)

series1.7s (14.3%)

simplify77.0ms (0.6%)

prune220.0ms (1.8%)

localize16.0ms (0.1%)

rewrite227.0ms (1.9%)

series1.1s (9.1%)

simplify91.0ms (0.8%)

prune215.0ms (1.8%)

localize9.0ms (0.1%)

rewrite113.0ms (0.9%)

series799.0ms (6.7%)

simplify80.0ms (0.7%)

prune99.0ms (0.8%)

regimes1.1s (9.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample4.3s (36.1%)

Profiling