Details

analyze707.0ms (1.6%)

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)

sample950.0ms (2.1%)

Algorithm

1×

intervals

Results

24.0ms	55×	body	1024	valid
17.0ms	54×	body	1024	invalid
11.0ms	151×	body	128	valid
11.0ms	126×	body	128	invalid
8.0ms	34×	body	512	valid
7.0ms	29×	body	512	invalid
2.0ms	14×	body	256	valid
1.0ms	9×	body	256	invalid
1.0ms	2×	body	2048	valid

Compiler

Compiled 7615 to 9039 computations (-18.7% saved)

simplify96.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

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)

localize14.0ms (0%)

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

rewrite123.0ms (0.3%)

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:

12.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
10.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
6.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1608 to 602 computations (62.6% saved)

series621.0ms (1.4%)

Error

0.1b

Counts

3 → 27

Calls

3 calls:

381.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
154.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
44.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1321 to 1031 computations (22% saved)

simplify91.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4932	1651
1	4932	1651

prune119.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	3	96

Error

0.0b

Counts

96 → 3

Compiler

Compiled 1906 to 863 computations (54.7% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(sinh.f64 l)
0.0b	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
0.0b	(.f64 J (.f64 2 (sinh.f64 l)))
0.1b	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))

rewrite116.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
6×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
4×	`associate-r/_binary64_702` `associate-l_binary64_701` `associate-r*_binary64_700`
3×	`sinh-def_binary64_945`
2×	`*-commutative_binary64_691`
1×	`associate-*l/_binary64_703` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690`

Counts

4 → 60

Calls

4 calls:

12.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
8.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
5.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
1.0ms	(sinh.f64 l)

Compiler

Compiled 1280 to 818 computations (36.1% saved)

series1.7s (3.8%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

810.0ms	(+.f64 (.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2))) U)
535.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
226.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
73.0ms	(sinh.f64 l)

Compiler

Compiled 2341 to 1797 computations (23.2% saved)

simplify75.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4963	1783
1	4963	1783

prune131.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	103	5	108
Fresh	2	0	2
Picked	0	1	1
Done	0	0	0
Total	105	6	111

Error

Counts

111 → 6

Compiler

Compiled 1876 to 1259 computations (32.9% saved)

localize13.0ms (0%)

Local error

Found 4 expressions with local error:

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

rewrite114.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
8×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
6×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795`
4×	`associate-l_binary64_701` `associate-r_binary64_700`
2×	`sinh-def_binary64_945` `*-commutative_binary64_691`
1×	`associate-r/_binary64_702` `associate-l/_binary64_703` `unswap-sqr_binary64_728` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `+-commutative_binary64_690`

Counts

4 → 61

Calls

4 calls:

8.0ms	(.f64 (.f64 2 (sinh.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2))))
7.0ms	(+.f64 (pow.f64 (.f64 (.f64 2 (sinh.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2)))) 1) U)
4.0ms	(*.f64 J (cos.f64 (/.f64 K 2)))
1.0ms	(sinh.f64 l)

Compiler

Compiled 1452 to 993 computations (31.6% saved)

series1.6s (3.6%)

Error

Counts

4 → 46

Calls

4 calls:

806.0ms	(+.f64 (pow.f64 (.f64 (.f64 2 (sinh.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2)))) 1) U)
534.0ms	(.f64 (.f64 2 (sinh.f64 l)) (*.f64 J (cos.f64 (/.f64 K 2))))
121.0ms	(*.f64 J (cos.f64 (/.f64 K 2)))
67.0ms	(sinh.f64 l)

Compiler

Compiled 2320 to 1839 computations (20.7% saved)

simplify90.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4930	1744
1	4930	1744

prune125.0ms (0.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Error

Counts

113 → 6

Compiler

Compiled 1975 to 1350 computations (31.6% saved)

localize12.0ms (0%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
0.0b	(sinh.f64 l)
0.1b	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
0.1b	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))

rewrite112.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
9×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
6×	`add-log-exp_binary64_799` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
4×	`associate-l_binary64_701` `associate-r_binary64_700`
3×	`sinh-def_binary64_945` `associate-*r/_binary64_702`
2×	`associate-l/_binary64_703` `-commutative_binary64_691`
1×	`sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690`

Counts

4 → 60

Calls

4 calls:

9.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
9.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
8.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
1.0ms	(sinh.f64 l)

Compiler

Compiled 1307 to 848 computations (35.1% saved)

series1.7s (3.9%)

Error

Counts

4 → 48

Calls

4 calls:

813.0ms	(+.f64 (.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))) U)
536.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
255.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
72.0ms	(sinh.f64 l)

Compiler

Compiled 2381 to 1841 computations (22.7% saved)

simplify59.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5343	1912

prune120.0ms (0.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	2	3
Picked	0	1	1
Done	0	2	2
Total	108	6	114

Error

Counts

114 → 6

Compiler

Compiled 1773 to 1173 computations (33.8% saved)

regimes1.0s (2.3%)

Accuracy

Total 0.1b remaining (79.3%)

Threshold costs 0.1b (79.3%)

Compiler

Compiled 10568 to 8944 computations (15.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	20
1	19	20

end0.0ms (0%)

sample34.6s (78%)

Algorithm

1×

intervals

Results

729.0ms	1602×	body	1024	valid
592.0ms	1885×	body	1024	invalid
402.0ms	4462×	body	128	invalid
333.0ms	4432×	body	128	valid
308.0ms	1220×	body	512	valid
238.0ms	1012×	body	512	invalid
108.0ms	685×	body	256	valid
84.0ms	518×	body	256	invalid
41.0ms	61×	body	2048	valid

Compiler

Compiled 254939 to 302436 computations (-18.6% saved)

Details

analyze707.0ms (1.6%)

sample950.0ms (2.1%)

simplify96.0ms (0.2%)

prune3.0ms (0%)

localize14.0ms (0%)

rewrite123.0ms (0.3%)

series621.0ms (1.4%)

simplify91.0ms (0.2%)

prune119.0ms (0.3%)

localize12.0ms (0%)

rewrite116.0ms (0.3%)

series1.7s (3.8%)

simplify75.0ms (0.2%)

prune131.0ms (0.3%)

localize13.0ms (0%)

rewrite114.0ms (0.3%)

series1.6s (3.6%)

simplify90.0ms (0.2%)

prune125.0ms (0.3%)

localize12.0ms (0%)

rewrite112.0ms (0.3%)

series1.7s (3.9%)

simplify59.0ms (0.1%)

prune120.0ms (0.3%)

regimes1.0s (2.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample34.6s (78%)

Profiling