Details

analyze2.3s (13.3%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5136	473
0	5	5
1	5	5

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)

sample45.0ms (0.3%)

Algorithm

1×

intervals

Results

24.0ms	251×	body	128	valid
1.0ms	2×	body	1024	valid
1.0ms	2×	body	1024	invalid
1.0ms	2×	body	512	valid
1.0ms	1×	body	2048	invalid
1.0ms	7×	body	128	invalid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify47.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5097	43

prune6.0ms (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

17.6b

Counts

2 → 1

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
0.0b	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
35.8b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite216.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

17.5b

Rules

15×	`add-sqr-sqrt_binary64_782`
14×	`*-un-lft-identity_binary64_760`
8×	`add-cube-cbrt_binary64_795` `add-log-exp_binary64_799`
6×	`cancel-sign-sub-inv_binary64_726` `unpow-prod-down_binary64_839`
5×	`pow1_binary64_821` `add-exp-log_binary64_798`
4×	`cos-sum_binary64_894` `add-cbrt-cube_binary64_796`
3×	`difference-of-squares_binary64_729` `pow-unpow_binary64_837`
2×	`sub-neg_binary64_753` `distribute-lft-out--_binary64_712`
1×	`cos-diff_binary64_897` `times-frac_binary64_766` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `sqr-pow_binary64_732` `diff-log_binary64_852` `flip3--_binary64_764` `flip--_binary64_735` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `distribute-lft-out_binary64_711` `+-commutative_binary64_690`

Counts

4 → 61

Calls

4 calls:

14.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
10.0ms	(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 2225 to 1112 computations (50% saved)

series2.1s (12.1%)

Error

1.2b

Counts

4 → 95

Calls

4 calls:

1.0s	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
437.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
342.0ms	(-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M)
204.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

Compiler

Compiled 6539 to 4770 computations (27.1% saved)

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5024	2953

prune221.0ms (1.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	150	6	156
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	151	6	157

Error

1.2b

Counts

157 → 6

Compiler

Compiled 3081 to 1537 computations (50.1% saved)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

rewrite177.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

17×	`*-un-lft-identity_binary64_760`
13×	`add-sqr-sqrt_binary64_782`
10×	`add-log-exp_binary64_799`
6×	`add-cube-cbrt_binary64_795` `unpow-prod-down_binary64_839`
4×	`pow1_binary64_821` `add-exp-log_binary64_798` `cancel-sign-sub-inv_binary64_726`
3×	`difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `pow-unpow_binary64_837` `add-cbrt-cube_binary64_796` `distribute-lft-out_binary64_711`
2×	`sum-log_binary64_851` `diff-log_binary64_852`
1×	`times-frac_binary64_766` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `sqr-pow_binary64_732` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `associate--r+_binary64_696`

Counts

3 → 53

Calls

3 calls:

16.0ms	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
15.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 1512 to 783 computations (48.2% saved)

series2.6s (15.1%)

Error

1.2b

Counts

3 → 93

Calls

3 calls:

1.1s	(-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))
990.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
434.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 5099 to 3833 computations (24.8% saved)

simplify75.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4966	3491
1	4966	3491

prune213.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	146	6	152

Error

1.2b

Counts

152 → 6

Compiler

Compiled 2275 to 1123 computations (50.6% saved)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
35.8b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
35.8b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
35.8b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))

rewrite234.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

12×	`cos-sum_binary64_894`
9×	`cancel-sign-sub-inv_binary64_726`
8×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
4×	`pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
3×	`cos-diff_binary64_897` `sub-neg_binary64_753` `cbrt-prod_binary64_791`
1×	`pow1/3_binary64_842`

Counts

4 → 47

Calls

4 calls:

10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
2.0ms	(cbrt.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))

Compiler

Compiled 3035 to 1495 computations (50.7% saved)

series2.1s (12%)

Error

1.2b

Counts

4 → 56

Calls

4 calls:

1.3s	(cbrt.f64 (cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M)))
238.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
236.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
231.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))

Compiler

Compiled 8397 to 5607 computations (33.2% saved)

simplify108.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4956	2071
1	4956	2071

prune253.0ms (1.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	102	7	109

Error

1.2b

Counts

109 → 7

Compiler

Compiled 3769 to 1955 computations (48.1% saved)

localize39.0ms (0.2%)

Local error

Found 4 expressions with local error:

35.8b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
35.8b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
35.8b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
35.8b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))

rewrite320.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

16×	`cos-sum_binary64_894`
12×	`cancel-sign-sub-inv_binary64_726`
8×	`add-cube-cbrt_binary64_795` `add-sqr-sqrt_binary64_782` `*-un-lft-identity_binary64_760`
4×	`cos-diff_binary64_897` `sub-neg_binary64_753` `pow1_binary64_821` `add-log-exp_binary64_799` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`

Counts

4 → 48

Calls

4 calls:

10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
9.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))

Compiler

Compiled 3984 to 2042 computations (48.7% saved)

series1.1s (6.5%)

Error

1.2b

Counts

4 → 54

Calls

4 calls:

253.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
248.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
246.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))
212.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 n m)) 2) M))

Compiler

Compiled 9887 to 6509 computations (34.2% saved)

simplify465.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (439.0ms)

Iter	Nodes	Cost
0	3316	2037
1	3316	2037

prune361.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	102	7	109

Error

1.2b

Counts

109 → 7

Compiler

Compiled 4570 to 2418 computations (47.1% saved)

regimes2.4s (13.9%)

Accuracy

Total 3.3b remaining (75.1%)

Threshold costs 0b (0%)

Compiler

Compiled 26918 to 21183 computations (21.3% saved)

bsearch24.0ms (0.1%)

Steps

Iters	Range		Point
12	1.0	#hash((type . real) (value . NaN))	#hash((type . real) (value . NaN))

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	100	92
1	100	92

end3.0ms (0%)

Compiler: Compiled 60 to 38 computations (36.7% saved)

sample1.7s (9.9%)

Algorithm

1×

intervals

Results

793.0ms	7841×	body	128	valid
45.0ms	102×	body	1024	invalid
34.0ms	297×	body	128	invalid
26.0ms	59×	body	1024	valid
22.0ms	75×	body	512	invalid
21.0ms	66×	body	512	valid
15.0ms	20×	body	2048	invalid
12.0ms	60×	body	256	invalid
7.0ms	32×	body	256	valid
1.0ms	2×	body	2048	valid

Compiler

Compiled 415 to 319 computations (23.1% saved)

Details

analyze2.3s (13.3%)

sample45.0ms (0.3%)

simplify47.0ms (0.3%)

prune6.0ms (0%)

localize25.0ms (0.1%)

rewrite216.0ms (1.3%)

series2.1s (12.1%)

simplify70.0ms (0.4%)

prune221.0ms (1.3%)

localize14.0ms (0.1%)

rewrite177.0ms (1%)

series2.6s (15.1%)

simplify75.0ms (0.4%)

prune213.0ms (1.2%)

localize27.0ms (0.2%)

rewrite234.0ms (1.4%)

series2.1s (12%)

simplify108.0ms (0.6%)

prune253.0ms (1.5%)

localize39.0ms (0.2%)

rewrite320.0ms (1.8%)

series1.1s (6.5%)

simplify465.0ms (2.7%)

prune361.0ms (2.1%)

regimes2.4s (13.9%)

bsearch24.0ms (0.1%)

simplify4.0ms (0%)

end3.0ms (0%)

sample1.7s (9.9%)

Profiling