Details

analyze2.6s (30.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
12.5%	87.3%	0.2%	9
12.5%	87.3%	0.2%	10
18.7%	81.1%	0.2%	11
18.7%	81.1%	0.2%	12
18.7%	81.1%	0.2%	13
20.5%	79.3%	0.2%	14

Compiler

Compiled 30 to 24 computations (20% saved)

sample48.0ms (0.6%)

Algorithm

1×

intervals

Results

27.0ms	249×	body	128	valid
1.0ms	3×	body	1024	invalid
1.0ms	5×	body	256	valid
1.0ms	10×	body	128	invalid
1.0ms	4×	body	256	invalid
1.0ms	1×	body	2048	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify208.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5353	43

prune5.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 17.7b

Counts

2 → 1

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
0.0b	(*.f64 K (+.f64 m n))
33.9b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite54.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_782`
15×	`*-un-lft-identity_binary64_760`
9×	`add-cube-cbrt_binary64_795`
7×	`add-exp-log_binary64_798` `pow1_binary64_821`
6×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `unpow-prod-down_binary64_839`
4×	`cos-sum_binary64_894` `associate-r_binary64_700`
3×	`cancel-sign-sub-inv_binary64_726` `associate-l_binary64_701` `pow-unpow_binary64_837`
2×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `difference-of-squares_binary64_729` `flip-+_binary64_734` `associate-*r/_binary64_702`
1×	`unswap-sqr_binary64_728` `unpow2_binary64_825` `prod-exp_binary64_809` `distribute-lft-in_binary64_709` `pow-exp_binary64_828` `distribute-rgt-in_binary64_710` `pow-to-exp_binary64_829` `distribute-lft-out--_binary64_712` `+-commutative_binary64_690` `sum-log_binary64_851` `sqr-pow_binary64_732` `cos-diff_binary64_897` `cbrt-unprod_binary64_793` `sub-neg_binary64_753` `pow-prod-down_binary64_831` `times-frac_binary64_766` `*-commutative_binary64_691` `pow-pow_binary64_832`

Counts

4 → 68

Calls

4 calls:

17.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
12.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
11.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
7.0ms	(*.f64 K (+.f64 m n))

series539.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

239.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
149.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
104.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
47.0ms	(*.f64 K (+.f64 m n))

simplify67.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5028	1294

prune124.0ms (1.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	75	5	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	5	81

Merged error: 1.4b

Counts

81 → 5

Compiler

Compiled 2844 to 1414 computations (50.3% saved)

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

rewrite34.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_782`
8×	`*-un-lft-identity_binary64_760`
6×	`unpow-prod-down_binary64_839`
4×	`add-cube-cbrt_binary64_795` `add-log-exp_binary64_799`
3×	`add-exp-log_binary64_798` `pow1_binary64_821` `pow-unpow_binary64_837`
2×	`difference-of-squares_binary64_729` `add-cbrt-cube_binary64_796`
1×	`distribute-lft-out_binary64_711` `unpow2_binary64_825` `flip3-+_binary64_763` `pow-exp_binary64_828` `flip-+_binary64_734` `pow-to-exp_binary64_829` `distribute-lft-out--_binary64_712` `+-commutative_binary64_690` `sum-log_binary64_851` `sqr-pow_binary64_732` `times-frac_binary64_766` `pow-pow_binary64_832`

Counts

2 → 33

Calls

2 calls:

16.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
15.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

series334.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

225.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
109.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

simplify34.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	6112	707

prune51.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	39	5	44

Merged error: 1.4b

Counts

44 → 5

Compiler

Compiled 1108 to 633 computations (42.9% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

17.7b	(cbrt.f64 (*.f64 K (+.f64 m n)))
17.7b	(cbrt.f64 (*.f64 K (+.f64 m n)))
17.7b	(cbrt.f64 (*.f64 K (+.f64 m n)))
33.9b	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 K (+.f64 m n))) (cbrt.f64 (.f64 K (+.f64 m n)))) (cbrt.f64 (*.f64 K (+.f64 m n)))) 2) M))

rewrite35.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-div_binary64_792` `associate-*r/_binary64_702`
5×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
4×	`cos-sum_binary64_894` `add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
3×	`pow1/3_binary64_842` `flip3-+_binary64_763` `cancel-sign-sub-inv_binary64_726` `flip-+_binary64_734` `cbrt-prod_binary64_791`
1×	`cos-diff_binary64_897` `sub-neg_binary64_753`

Counts

4 → 45

Calls

4 calls:

12.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 K (+.f64 m n))) (cbrt.f64 (.f64 K (+.f64 m n)))) (cbrt.f64 (*.f64 K (+.f64 m n)))) 2) M))
5.0ms	(cbrt.f64 (*.f64 K (+.f64 m n)))
5.0ms	(cbrt.f64 (*.f64 K (+.f64 m n)))
5.0ms	(cbrt.f64 (*.f64 K (+.f64 m n)))

series741.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt.f64 (*.f64 K (+.f64 m n)))
193.0ms	(cbrt.f64 (*.f64 K (+.f64 m n)))
187.0ms	(cbrt.f64 (*.f64 K (+.f64 m n)))
166.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 K (+.f64 m n))) (cbrt.f64 (.f64 K (+.f64 m n)))) (cbrt.f64 (*.f64 K (+.f64 m n)))) 2) M))

simplify60.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5362	840

prune102.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	56	6	62

Merged error: 1.3b

Counts

62 → 6

Compiler

Compiled 2760 to 1080 computations (60.9% saved)

localize31.0ms (0.4%)

Local error

Found 4 expressions with local error:

17.7b	(cbrt.f64 (*.f64 K (+.f64 m n)))
17.7b	(cbrt.f64 (*.f64 K (+.f64 m n)))
17.7b	(cbrt.f64 (*.f64 K (+.f64 m n)))
34.1b	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 K (+.f64 m n))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 K (+.f64 m n)))) (cbrt.f64 (cbrt.f64 (.f64 K (+.f64 m n))))) (cbrt.f64 (cbrt.f64 (.f64 K (+.f64 m n)))))) (cbrt.f64 (*.f64 K (+.f64 m n)))) 2) M))

rewrite48.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`cbrt-div_binary64_792` `associate-*r/_binary64_702`
5×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782`
4×	`cos-sum_binary64_894` `add-exp-log_binary64_798` `add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `pow1_binary64_821`
3×	`pow1/3_binary64_842` `flip3-+_binary64_763` `cancel-sign-sub-inv_binary64_726` `flip-+_binary64_734` `cbrt-prod_binary64_791`
1×	`cos-diff_binary64_897` `sub-neg_binary64_753`

Counts

4 → 45

Calls

4 calls:

24.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 K (+.f64 m n))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 K (+.f64 m n)))) (cbrt.f64 (cbrt.f64 (.f64 K (+.f64 m n))))) (cbrt.f64 (cbrt.f64 (.f64 K (+.f64 m n)))))) (cbrt.f64 (*.f64 K (+.f64 m n)))) 2) M))
6.0ms	(cbrt.f64 (*.f64 K (+.f64 m n)))
5.0ms	(cbrt.f64 (*.f64 K (+.f64 m n)))
5.0ms	(cbrt.f64 (*.f64 K (+.f64 m n)))

series804.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

212.0ms	(cbrt.f64 (*.f64 K (+.f64 m n)))
211.0ms	(cbrt.f64 (*.f64 K (+.f64 m n)))
205.0ms	(cbrt.f64 (*.f64 K (+.f64 m n)))
175.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (.f64 (cbrt.f64 (.f64 K (+.f64 m n))) (.f64 (.f64 (cbrt.f64 (cbrt.f64 (.f64 K (+.f64 m n)))) (cbrt.f64 (cbrt.f64 (.f64 K (+.f64 m n))))) (cbrt.f64 (cbrt.f64 (.f64 K (+.f64 m n)))))) (cbrt.f64 (*.f64 K (+.f64 m n)))) 2) M))

simplify97.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4880	828
1	4880	828

prune105.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	55	2	57
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	57	6	63

Merged error: 1.3b

Counts

63 → 6

Compiler

Compiled 3269 to 1026 computations (68.6% saved)

regimes338.0ms (4%)

Compiler: Compiled 4796 to 3198 computations (33.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	26
1	62	26

end0.0ms (0%)

sample2.0s (23.5%)

Algorithm

1×

intervals

Results

873.0ms	7834×	body	128	valid
45.0ms	86×	body	1024	invalid
33.0ms	65×	body	1024	valid
31.0ms	288×	body	128	invalid
24.0ms	72×	body	512	invalid
21.0ms	30×	body	2048	invalid
18.0ms	53×	body	512	valid
15.0ms	66×	body	256	invalid
11.0ms	46×	body	256	valid
2.0ms	2×	body	2048	valid

Compiler

Compiled 835 to 562 computations (32.7% saved)

Details

analyze2.6s (30.3%)

sample48.0ms (0.6%)

simplify208.0ms (2.4%)

prune5.0ms (0.1%)

localize21.0ms (0.3%)

rewrite54.0ms (0.6%)

series539.0ms (6.3%)

simplify67.0ms (0.8%)

prune124.0ms (1.5%)

localize13.0ms (0.2%)

rewrite34.0ms (0.4%)

series334.0ms (3.9%)

simplify34.0ms (0.4%)

prune51.0ms (0.6%)

localize29.0ms (0.3%)

rewrite35.0ms (0.4%)

series741.0ms (8.7%)

simplify60.0ms (0.7%)

prune102.0ms (1.2%)

localize31.0ms (0.4%)

rewrite48.0ms (0.6%)

series804.0ms (9.5%)

simplify97.0ms (1.1%)

prune105.0ms (1.2%)

regimes338.0ms (4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.0s (23.5%)

Profiling