Details

analyze615.0ms (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)

sample105.0ms (1.3%)

Algorithm

1×

intervals

Results

24.0ms	53×	body	1024	valid
19.0ms	73×	body	1024	invalid
9.0ms	147×	body	128	valid
9.0ms	135×	body	128	invalid
7.0ms	40×	body	512	invalid
7.0ms	33×	body	512	valid
3.0ms	23×	body	256	valid
2.0ms	18×	body	256	invalid

Compiler

Compiled 31 to 33 computations (-6.5% saved)

simplify100.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (94.0ms)

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

14.7b

Counts

2 → 1

Compiler

Compiled 30 to 28 computations (6.7% saved)

localize15.0ms (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)))
3.4b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite101.0ms (1.2%)

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:

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)

series436.0ms (5.4%)

Error

0.0b

Counts

3 → 28

Calls

3 calls:

273.0ms	(.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))))
28.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1414 to 1085 computations (23.3% saved)

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4888	1717
1	4888	1717

prune94.0ms (1.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	93	3	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	3	97

Error

0.0b

Counts

97 → 3

Compiler

Compiled 1947 to 882 computations (54.7% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite75.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`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`
5×	`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×	`add-log-exp_binary64_799` `sinh-def_binary64_945`
2×	`*-commutative_binary64_691`
1×	`associate-*l/_binary64_703`

Counts

3 → 49

Calls

3 calls:

10.0ms	(.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 976 to 620 computations (36.5% saved)

series585.0ms (7.3%)

Error

0.0b

Counts

3 → 28

Calls

3 calls:

367.0ms	(.f64 (.f64 J (*.f64 2 (sinh.f64 l))) (cos.f64 (/.f64 K 2)))
152.0ms	(.f64 J (.f64 2 (sinh.f64 l)))
39.0ms	(sinh.f64 l)

Compiler

Compiled 1438 to 1107 computations (23% saved)

simplify65.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4941	1141
1	4941	1141

prune86.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	73	4	77
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	74	6	80

Error

Counts

80 → 6

Compiler

Compiled 1409 to 958 computations (32% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite71.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

17×	`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`
5×	`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×	`add-log-exp_binary64_799` `sinh-def_binary64_945` `associate-*r/_binary64_702`
2×	`associate-l/_binary64_703` `-commutative_binary64_691`

Counts

3 → 49

Calls

3 calls:

8.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
6.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
1.0ms	(sinh.f64 l)

Compiler

Compiled 1003 to 650 computations (35.2% saved)

series654.0ms (8.1%)

Error

Counts

3 → 29

Calls

3 calls:

390.0ms	(.f64 J (.f64 (*.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2))))
189.0ms	(.f64 (.f64 2 (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
46.0ms	(sinh.f64 l)

Compiler

Compiled 1555 to 1200 computations (22.8% saved)

simplify51.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5367	1282

prune79.0ms (1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	78	6	84

Error

Counts

84 → 6

Compiler

Compiled 1413 to 963 computations (31.8% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 J) (cbrt.f64 J))
0.6b	(cbrt.f64 J)
0.6b	(cbrt.f64 J)
0.6b	(cbrt.f64 J)

rewrite90.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 J) (cbrt.f64 J))
1.0ms	(cbrt.f64 J)
1.0ms	(cbrt.f64 J)
1.0ms	(cbrt.f64 J)

Compiler

Compiled 1816 to 820 computations (54.8% saved)

series336.0ms (4.2%)

Error

Counts

4 → 12

Calls

4 calls:

91.0ms	(*.f64 (cbrt.f64 J) (cbrt.f64 J))
81.0ms	(cbrt.f64 J)
76.0ms	(cbrt.f64 J)
74.0ms	(cbrt.f64 J)

Compiler

Compiled 807 to 649 computations (19.6% saved)

simplify74.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4873	548
1	4873	548

prune85.0ms (1.1%)

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

Error

Counts

91 → 6

Compiler

Compiled 1913 to 983 computations (48.6% saved)

regimes509.0ms (6.3%)

Accuracy

Total 0.0b remaining (65.5%)

Threshold costs 0.0b (65.5%)

Compiler

Compiled 5795 to 4930 computations (14.9% 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

end0.0ms (0%)

sample3.7s (45.9%)

Algorithm

1×

intervals

Results

675.0ms	1642×	body	1024	valid
545.0ms	1993×	body	1024	invalid
293.0ms	4446×	body	128	valid
269.0ms	1211×	body	512	valid
237.0ms	3504×	body	128	invalid
182.0ms	959×	body	512	invalid
95.0ms	640×	body	256	valid
63.0ms	482×	body	256	invalid
36.0ms	61×	body	2048	valid

Compiler

Compiled 572 to 490 computations (14.3% saved)

Details

analyze615.0ms (7.6%)

sample105.0ms (1.3%)

simplify100.0ms (1.2%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite101.0ms (1.2%)

series436.0ms (5.4%)

simplify97.0ms (1.2%)

prune94.0ms (1.2%)

localize10.0ms (0.1%)

rewrite75.0ms (0.9%)

series585.0ms (7.3%)

simplify65.0ms (0.8%)

prune86.0ms (1.1%)

localize10.0ms (0.1%)

rewrite71.0ms (0.9%)

series654.0ms (8.1%)

simplify51.0ms (0.6%)

prune79.0ms (1%)

localize14.0ms (0.2%)

rewrite90.0ms (1.1%)

series336.0ms (4.2%)

simplify74.0ms (0.9%)

prune85.0ms (1.1%)

regimes509.0ms (6.3%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample3.7s (45.9%)

Profiling