Details

analyze2.1s (19.6%)

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)

sample43.0ms (0.4%)

Algorithm

1×

intervals

Results

24.0ms	254×	body	128	valid
1.0ms	3×	body	1024	invalid
1.0ms	2×	body	512	valid
1.0ms	3×	body	256	invalid
0.0ms	1×	body	2048	invalid
0.0ms	5×	body	128	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify145.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5097	43

prune5.0ms (0%)

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

Error

12.5b

Counts

2 → 1

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize19.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.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 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
34.3b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite181.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

12.4b

Rules

20×	`add-sqr-sqrt_binary64_782`
17×	`*-un-lft-identity_binary64_760`
11×	`add-cube-cbrt_binary64_795`
10×	`cancel-sign-sub-inv_binary64_726`
8×	`associate-r_binary64_700`
7×	`pow1_binary64_821`
6×	`add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `unpow-prod-down_binary64_839`
5×	`exp-sum_binary64_806`
4×	`cos-sum_binary64_894`
3×	`sub-neg_binary64_753` `difference-of-squares_binary64_729` `pow-unpow_binary64_837` `associate-l_binary64_701`
2×	`distribute-lft-out--_binary64_712`
1×	`cos-diff_binary64_897` `diff-log_binary64_852` `flip3--_binary64_764` `flip--_binary64_735` `times-frac_binary64_766` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `sqr-pow_binary64_732` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `exp-diff_binary64_808` `associate-r/_binary64_702` `distribute-lft-out_binary64_711` `-commutative_binary64_691`

Counts

4 → 73

Calls

4 calls:

24.0ms	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
15.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
9.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)

Compiler

Compiled 2951 to 1464 computations (50.4% saved)

series1.6s (15.1%)

Error

0.4b

Counts

4 → 79

Calls

4 calls:

800.0ms	(.f64 (cos.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
307.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
255.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
126.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 8497 to 5711 computations (32.8% saved)

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5027	3981

prune231.0ms (2.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	148	4	152
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	149	4	153

Error

0.4b

Counts

153 → 4

Compiler

Compiled 5367 to 2545 computations (52.6% saved)

localize15.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite99.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

14×	`add-sqr-sqrt_binary64_782`
11×	`*-un-lft-identity_binary64_760`
8×	`associate-r_binary64_700`
7×	`add-cube-cbrt_binary64_795`
6×	`unpow-prod-down_binary64_839`
5×	`pow1_binary64_821` `exp-sum_binary64_806`
4×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `cancel-sign-sub-inv_binary64_726`
3×	`pow-unpow_binary64_837` `associate-l_binary64_701`
2×	`difference-of-squares_binary64_729` `add-log-exp_binary64_799`
1×	`times-frac_binary64_766` `distribute-lft-out--_binary64_712` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `sqr-pow_binary64_732` `pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `unswap-sqr_binary64_728` `exp-diff_binary64_808` `associate-r/_binary64_702` `sub-neg_binary64_753` `distribute-lft-out_binary64_711` `-commutative_binary64_691`

Counts

2 → 45

Calls

2 calls:

22.0ms	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
13.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 1397 to 708 computations (49.3% saved)

series729.0ms (6.8%)

Error

0.4b

Counts

2 → 39

Calls

2 calls:

403.0ms	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
275.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 3394 to 2332 computations (31.3% saved)

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5029	2203

prune102.0ms (1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	85	3	88

Error

0.4b

Counts

88 → 3

Compiler

Compiled 2420 to 1123 computations (53.6% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 M)) (cbrt.f64 (cos.f64 M)))
0.4b	(cbrt.f64 (cos.f64 M))
0.4b	(cbrt.f64 (cos.f64 M))
0.4b	(cbrt.f64 (cos.f64 M))

rewrite112.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

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 (cos.f64 M)) (cbrt.f64 (cos.f64 M)))
1.0ms	(cbrt.f64 (cos.f64 M))
1.0ms	(cbrt.f64 (cos.f64 M))
1.0ms	(cbrt.f64 (cos.f64 M))

Compiler

Compiled 2533 to 897 computations (64.6% saved)

series389.0ms (3.6%)

Error

0.4b

Counts

4 → 24

Calls

4 calls:

117.0ms	(*.f64 (cbrt.f64 (cos.f64 M)) (cbrt.f64 (cos.f64 M)))
87.0ms	(cbrt.f64 (cos.f64 M))
77.0ms	(cbrt.f64 (cos.f64 M))
76.0ms	(cbrt.f64 (cos.f64 M))

Compiler

Compiled 1828 to 1259 computations (31.1% saved)

simplify96.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4912	928
1	4912	928

prune125.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	97	3	100

Error

0.4b

Counts

100 → 3

Compiler

Compiled 3187 to 1352 computations (57.6% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

11.9b	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
11.9b	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
11.9b	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
43.8b	(cos.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cbrt.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))

rewrite162.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

15×	`cbrt-prod_binary64_791`
13×	`add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
7×	`add-cube-cbrt_binary64_795`
6×	`cbrt-div_binary64_792`
4×	`pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`pow1/3_binary64_842` `flip3--_binary64_764` `flip--_binary64_735` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712`

Counts

4 → 52

Calls

4 calls:

8.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
8.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
8.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
6.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cbrt.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))

Compiler

Compiled 3388 to 1641 computations (51.6% saved)

series953.0ms (8.9%)

Error

0.4b

Counts

4 → 49

Calls

4 calls:

239.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
235.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
225.0ms	(cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
169.0ms	(cos.f64 (.f64 (.f64 (cbrt.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M)) (cbrt.f64 (-.f64 (/.f64 (.f64 K (+.f64 m n)) 2) M))) (cbrt.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))))

Compiler

Compiled 8065 to 5567 computations (31% saved)

simplify112.0ms (1%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4979	1854
1	4979	1854

prune205.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	101	3	104

Error

0.4b

Counts

104 → 3

Compiler

Compiled 5109 to 2476 computations (51.5% saved)

regimes582.0ms (5.5%)

Accuracy

Total 0.2b remaining (15.1%)

Threshold costs 0.2b (15.1%)

Compiler

Compiled 8906 to 6414 computations (28% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	43
1	66	43

end0.0ms (0%)

sample2.5s (23.1%)

Algorithm

1×

intervals

Results

773.0ms	7831×	body	128	valid
40.0ms	91×	body	1024	invalid
37.0ms	71×	body	1024	valid
31.0ms	316×	body	128	invalid
28.0ms	82×	body	512	invalid
20.0ms	67×	body	512	valid
18.0ms	25×	body	2048	invalid
14.0ms	73×	body	256	invalid
6.0ms	31×	body	256	valid

Compiler

Compiled 1530 to 1104 computations (27.8% saved)

Details

analyze2.1s (19.6%)

sample43.0ms (0.4%)

simplify145.0ms (1.4%)

prune5.0ms (0%)

localize19.0ms (0.2%)

rewrite181.0ms (1.7%)

series1.6s (15.1%)

simplify86.0ms (0.8%)

prune231.0ms (2.2%)

localize15.0ms (0.1%)

rewrite99.0ms (0.9%)

series729.0ms (6.8%)

simplify67.0ms (0.6%)

prune102.0ms (1%)

localize21.0ms (0.2%)

rewrite112.0ms (1%)

series389.0ms (3.6%)

simplify96.0ms (0.9%)

prune125.0ms (1.2%)

localize26.0ms (0.2%)

rewrite162.0ms (1.5%)

series953.0ms (8.9%)

simplify112.0ms (1%)

prune205.0ms (1.9%)

regimes582.0ms (5.5%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.5s (23.1%)

Profiling