Details

analyze536.0ms (6.8%)

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 20 to 15 computations (25% saved)

sample96.0ms (1.2%)

Algorithm

1×

intervals

Results

21.0ms	52×	body	1024	valid
18.0ms	72×	body	1024	invalid
9.0ms	42×	body	512	valid
9.0ms	144×	body	128	valid
7.0ms	117×	body	128	invalid
5.0ms	25×	body	512	invalid
2.0ms	18×	body	256	invalid
2.0ms	17×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 43 to 33 computations (23.3% saved)

simplify104.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

720×	`div-sub_binary64`
424×	`times-frac_binary64`
411×	`associate-/l*_binary64`
370×	`cancel-sign-sub-inv_binary64`
355×	`distribute-neg-frac_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	24
1	28	24
2	50	24
3	96	24
4	205	24
5	441	24
6	997	24
7	1569	24
8	2735	24
9	3755	24
10	4991	24
11	4999	24
12	4815	24

prune2.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

16.3b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	16.3b	(+.f64 (.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 38 to 28 computations (26.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
0.0b	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
5.2b	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

rewrite97.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64`
10×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-cube-cbrt_binary64` `cancel-sign-sub-inv_binary64` `associate-r_binary64`
5×	`add-log-exp_binary64`

Counts

3 → 68

Calls

3 calls:

9.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
8.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
5.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1510 to 558 computations (63% saved)

series119.0ms (1.5%)

Error

0.0b

Counts

3 → 28

Calls

3 calls:

54.0ms	(.f64 (.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K 2)))
21.0ms	(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
10.0ms	(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))

Compiler

Compiled 1484 to 1042 computations (29.8% saved)

simplify117.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

869×	`times-frac_binary64`
460×	`*-commutative_binary64`
269×	`distribute-rgt-neg-out_binary64`
237×	`associate-l_binary64`
230×	`unsub-neg_binary64` `distribute-rgt-in_binary64`

Counts

96 → 73

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	178	2045
1	437	1797
2	1368	1717
3	2891	1717
4	4557	1714
5	5372	1714

prune74.0ms (0.9%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	3	74

Error

0.0b

Counts

74 → 3

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 (.f64 (*.f64 2 J) (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
	16.2b	(+.f64 (.f64 (.f64 J (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 3))) (cos.f64 (/.f64 K 2))) U)
	0.8b	(+.f64 (.f64 2 (.f64 l (.f64 J (cos.f64 (.f64 1/2 K))))) U)

Compiler

Compiled 1162 to 609 computations (47.6% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite108.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`pow-prod-down_binary64` `prod-exp_binary64` `cbrt-unprod_binary64`
6×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `-un-lft-identity_binary64` `associate-r*_binary64`
3×	`sinh-def_binary64`
2×	`associate-r/_binary64` `associate-l_binary64` `-commutative_binary64`

Counts

4 → 60

Calls

4 calls:

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

Compiler

Compiled 1212 to 765 computations (36.9% saved)

series262.0ms (3.3%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

104.0ms	(+.f64 (.f64 (.f64 (*.f64 2 J) (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
69.0ms	(.f64 (.f64 (*.f64 2 J) (sinh.f64 l)) (cos.f64 (/.f64 K 2)))
33.0ms	(.f64 (.f64 2 J) (sinh.f64 l))
14.0ms	(sinh.f64 l)

Compiler

Compiled 2576 to 1793 computations (30.4% saved)

simplify123.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

374×	`cancel-sign-sub-inv_binary64`
284×	`associate-l_binary64`
264×	`distribute-rgt-neg-in_binary64`
230×	`associate-r_binary64`
182×	`associate-*l/_binary64`

Counts

110 → 86

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	199	2376
1	511	2159
2	1650	2048
3	3425	1920
4	4692	1920
5	5064	1920

prune77.0ms (1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	1	1	2
Picked	0	1	1
Done	0	0	0
Total	83	6	89

Error

Counts

89 → 6

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (pow.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))) 1) U)
	33.4b	(.f64 (sqrt.f64 (+.f64 U (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))) (sqrt.f64 (+.f64 U (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))))
✓	0.0b	(+.f64 (.f64 (.f64 (*.f64 2 J) (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
	0.4b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))))) (cbrt.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))) (cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))) U)
	10.3b	(+.f64 (.f64 (cbrt.f64 (.f64 8 (pow.f64 (*.f64 J (sinh.f64 l)) 3))) (cos.f64 (/.f64 K 2))) U)
	16.2b	(+.f64 (.f64 (.f64 J (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 3))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 1271 to 879 computations (30.8% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite112.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
7×	`pow-prod-down_binary64` `prod-exp_binary64` `add-cube-cbrt_binary64` `cbrt-unprod_binary64`
6×	`add-log-exp_binary64` `associate-l_binary64`
4×	`associate-r_binary64`

Counts

4 → 61

Calls

4 calls:

8.0ms	(.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))))
7.0ms	(+.f64 (pow.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))) 1) U)
5.0ms	(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))
1.0ms	(sinh.f64 l)

Compiler

Compiled 1336 to 892 computations (33.2% saved)

series293.0ms (3.7%)

Error

Counts

4 → 51

Calls

4 calls:

107.0ms	(+.f64 (pow.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))) 1) U)
71.0ms	(.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))))
39.0ms	(*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))
13.0ms	(sinh.f64 l)

Compiler

Compiled 2947 to 2110 computations (28.4% saved)

simplify129.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

439×	`cancel-sign-sub-inv_binary64`
260×	`associate-r_binary64`
213×	`associate-l_binary64`
194×	`sub-neg_binary64`
163×	`associate-*r/_binary64`

Counts

112 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	2522
1	548	2309
2	1699	2178
3	3606	2047
4	4627	2047
5	5027	2047

prune87.0ms (1.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	74	6	80

Error

Counts

80 → 6

Alt Table

Status	Error	Program
	26.5b	(/.f64 (-.f64 (pow.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))) 2) (.f64 U U)) (-.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))) U))
✓	0.0b	(+.f64 (pow.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))) 1) U)
✓	0.0b	(+.f64 (.f64 (.f64 (*.f64 2 J) (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
▶	0.4b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))))) (cbrt.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))) (cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))) U)
	10.3b	(+.f64 (.f64 (cbrt.f64 (.f64 8 (pow.f64 (*.f64 J (sinh.f64 l)) 3))) (cos.f64 (/.f64 K 2))) U)
	16.2b	(+.f64 (.f64 (.f64 J (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 3))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 1278 to 887 computations (30.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))))) (cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))))))
17.2b	(cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))
17.2b	(cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))
17.2b	(cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))

rewrite169.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`associate-*r/_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`add-cube-cbrt_binary64` `associate-l/_binary64` `-un-lft-identity_binary64`

Counts

4 → 64

Calls

4 calls:

9.0ms	(.f64 (cbrt.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))))) (cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))))))
6.0ms	(cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))
6.0ms	(cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))
5.0ms	(cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))

Compiler

Compiled 2979 to 2042 computations (31.5% saved)

series796.0ms (10.2%)

Error

Counts

4 → 42

Calls

4 calls:

201.0ms	(.f64 (cbrt.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))))) (cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))))))
175.0ms	(cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))
172.0ms	(cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))
171.0ms	(cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))

Compiler

Compiled 7113 to 5261 computations (26% saved)

simplify210.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

474×	`unswap-sqr_binary64`
436×	`*-commutative_binary64`
277×	`log-prod_binary64`
257×	`exp-sum_binary64`
174×	`associate-r_binary64`

Counts

106 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	3908
1	440	3534
2	1179	3115
3	2871	2781
4	4771	2781
5	4981	2781
6	4995	2781
7	4965	2781

prune100.0ms (1.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	77	6	83

Error

Counts

83 → 6

Alt Table

Status	Error	Program
	26.5b	(/.f64 (-.f64 (pow.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))) 2) (.f64 U U)) (-.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))) U))
	0.0b	(+.f64 (pow.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))) 1) U)
	0.0b	(+.f64 (.f64 (.f64 (*.f64 2 J) (sinh.f64 l)) (cos.f64 (/.f64 K 2))) U)
	0.4b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2)))))) (cbrt.f64 (.f64 J (.f64 2 (.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))) (cbrt.f64 (.f64 J (.f64 2 (*.f64 (sinh.f64 l) (cos.f64 (/.f64 K 2))))))) U)
	10.3b	(+.f64 (.f64 (cbrt.f64 (.f64 8 (pow.f64 (*.f64 J (sinh.f64 l)) 3))) (cos.f64 (/.f64 K 2))) U)
	16.2b	(+.f64 (.f64 (.f64 J (cbrt.f64 (pow.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) 3))) (cos.f64 (/.f64 K 2))) U)

Compiler

Compiled 2089 to 1491 computations (28.6% saved)

regimes979.0ms (12.5%)

Accuracy

Total 0.0b remaining (36.6%)

Threshold costs 0.0b (36.6%)

Compiler

Compiled 17481 to 12951 computations (25.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	20
1	17	20
2	17	20

end1.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

sample3.2s (40.7%)

Algorithm

1×

intervals

Results

671.0ms	1655×	body	1024	valid
527.0ms	2001×	body	1024	invalid
286.0ms	4401×	body	128	valid
268.0ms	1191×	body	512	valid
247.0ms	3487×	body	128	invalid
193.0ms	995×	body	512	invalid
91.0ms	684×	body	256	valid
61.0ms	480×	body	256	invalid
40.0ms	69×	body	2048	valid

Compiler

Compiled 198 to 150 computations (24.2% saved)

Details

analyze536.0ms (6.8%)

sample96.0ms (1.2%)

simplify104.0ms (1.3%)

prune2.0ms (0%)

localize12.0ms (0.1%)

rewrite97.0ms (1.2%)

series119.0ms (1.5%)

simplify117.0ms (1.5%)

prune74.0ms (0.9%)

localize10.0ms (0.1%)

rewrite108.0ms (1.4%)

series262.0ms (3.3%)

simplify123.0ms (1.6%)

prune77.0ms (1%)

localize11.0ms (0.1%)

rewrite112.0ms (1.4%)

series293.0ms (3.7%)

simplify129.0ms (1.6%)

prune87.0ms (1.1%)

localize16.0ms (0.2%)

rewrite169.0ms (2.2%)

series796.0ms (10.2%)

simplify210.0ms (2.7%)

prune100.0ms (1.3%)

regimes979.0ms (12.5%)

simplify3.0ms (0%)

end1.0ms (0%)

sample3.2s (40.7%)

Profiling