Details

analyze2.9s (20.2%)

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)

sample57.0ms (0.4%)

Algorithm

1×

intervals

Results

32.0ms	253×	body	128	valid
2.0ms	4×	body	1024	invalid
1.0ms	3×	body	512	invalid
1.0ms	7×	body	128	invalid
1.0ms	4×	body	256	invalid
0.0ms	1×	body	1024	valid
0.0ms	1×	body	512	valid
0.0ms	1×	body	256	valid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify66.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

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

16.5b

Counts

2 → 1

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize19.0ms (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 K (+.f64 m n))
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
32.5b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite210.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

16.4b

Rules

16×	`add-sqr-sqrt_binary64_782`
15×	`*-un-lft-identity_binary64_760`
9×	`add-cube-cbrt_binary64_795`
7×	`pow1_binary64_821` `add-exp-log_binary64_798`
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` `pow-unpow_binary64_837` `associate-l_binary64_701`
2×	`difference-of-squares_binary64_729` `flip3-+_binary64_763` `associate-*r/_binary64_702` `flip-+_binary64_734` `distribute-lft-out_binary64_711`
1×	`cos-diff_binary64_897` `sub-neg_binary64_753` `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` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `*-commutative_binary64_691` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 68

Calls

4 calls:

22.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
20.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
18.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
12.0ms	(*.f64 K (+.f64 m n))

Compiler

Compiled 2523 to 1267 computations (49.8% saved)

series1.5s (10.3%)

Error

0.6b

Counts

4 → 82

Calls

4 calls:

747.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
330.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
164.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
62.0ms	(*.f64 K (+.f64 m n))

Compiler

Compiled 7366 to 4981 computations (32.4% saved)

simplify106.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5072	2692

prune244.0ms (1.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	146	4	150
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	147	4	151

Error

0.6b

Counts

151 → 4

Compiler

Compiled 5023 to 2330 computations (53.6% saved)

localize19.0ms (0.1%)

Local error

Found 4 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	(-.f64 (/.f64 (+.f64 m n) 2) M)
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)

rewrite192.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

22×	`add-sqr-sqrt_binary64_782`
18×	`*-un-lft-identity_binary64_760`
10×	`add-cube-cbrt_binary64_795`
8×	`add-log-exp_binary64_799` `associate-r_binary64_700`
7×	`pow1_binary64_821` `cancel-sign-sub-inv_binary64_726`
6×	`unpow-prod-down_binary64_839` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
5×	`exp-sum_binary64_806`
4×	`difference-of-squares_binary64_729`
3×	`pow-unpow_binary64_837` `associate-l_binary64_701`
2×	`times-frac_binary64_766` `distribute-lft-out--_binary64_712` `distribute-lft-out_binary64_711` `sub-neg_binary64_753`
1×	`pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `sqr-pow_binary64_732` `sum-log_binary64_851` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `diff-log_binary64_852` `flip3--_binary64_764` `flip--_binary64_735` `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` `-commutative_binary64_691`

Counts

4 → 74

Calls

4 calls:

30.0ms	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
18.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
14.0ms	(-.f64 (/.f64 (+.f64 m n) 2) M)
11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)

Compiler

Compiled 2266 to 1145 computations (49.5% saved)

series1.9s (13.3%)

Error

0.6b

Counts

4 → 90

Calls

4 calls:

729.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
494.0ms	(*.f64 (cos.f64 M) (exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l))))
364.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
160.0ms	(-.f64 (/.f64 (+.f64 m n) 2) M)

Compiler

Compiled 6640 to 4644 computations (30.1% saved)

simplify111.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4984	3619
1	4984	3619

prune201.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	164	4	168

Error

0.6b

Counts

168 → 4

Compiler

Compiled 4340 to 1985 computations (54.3% saved)

localize36.0ms (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	(-.f64 (.f64 1/2 (.f64 K n)) M)
0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
24.0b	(cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))

rewrite167.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

13×	`add-sqr-sqrt_binary64_782`
12×	`*-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×	`pow-unpow_binary64_837`
2×	`sub-neg_binary64_753` `difference-of-squares_binary64_729`
1×	`cos-diff_binary64_897` `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` `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 → 59

Calls

4 calls:

20.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
17.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
13.0ms	(cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))
9.0ms	(-.f64 (.f64 1/2 (.f64 K n)) M)

Compiler

Compiled 2117 to 1140 computations (46.2% saved)

series1.4s (9.6%)

Error

0.6b

Counts

4 → 82

Calls

4 calls:

686.0ms	(+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)
361.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
108.0ms	(-.f64 (.f64 1/2 (.f64 K n)) M)
87.0ms	(cos.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))

Compiler

Compiled 6627 to 4626 computations (30.2% saved)

simplify126.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4938	2561
1	4938	2561

prune201.0ms (1.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	140	1	141
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	141	4	145

Error

0.6b

Counts

145 → 4

Compiler

Compiled 4375 to 2137 computations (51.2% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
2.2b	(exp.f64 (log.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))
4.9b	(log.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))
19.0b	(cos.f64 (exp.f64 (log.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))))

rewrite154.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.6b

Rules

14×	`add-sqr-sqrt_binary64_782`
11×	`*-un-lft-identity_binary64_760`
9×	`add-cube-cbrt_binary64_795`
7×	`pow1_binary64_821`
6×	`add-exp-log_binary64_798` `log-prod_binary64_846` `unpow-prod-down_binary64_839`
4×	`add-log-exp_binary64_799` `add-cbrt-cube_binary64_796` `log-div_binary64_847` `exp-prod_binary64_812`
3×	`exp-sum_binary64_806` `pow-unpow_binary64_837`
2×	`log-pow_binary64_849` `flip3--_binary64_764` `flip--_binary64_735` `exp-diff_binary64_808` `difference-of-squares_binary64_729`
1×	`rem-log-exp_binary64_801` `rem-exp-log_binary64_800` `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`

Counts

4 → 59

Calls

4 calls:

11.0ms	(cos.f64 (exp.f64 (log.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))))
10.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
10.0ms	(log.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))
7.0ms	(exp.f64 (log.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))

Compiler

Compiled 2219 to 1270 computations (42.8% saved)

series874.0ms (6.2%)

Error

0.6b

Counts

4 → 54

Calls

4 calls:

381.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
211.0ms	(cos.f64 (exp.f64 (log.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))))
115.0ms	(exp.f64 (log.f64 (-.f64 (.f64 1/2 (.f64 K n)) M)))
75.0ms	(log.f64 (-.f64 (.f64 1/2 (.f64 K n)) M))

Compiler

Compiled 5029 to 3733 computations (25.8% saved)

simplify127.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5066	1734

prune173.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	113	0	113
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	113	4	117

Error

0.6b

Counts

117 → 4

Compiler

Compiled 3527 to 1888 computations (46.5% saved)

regimes672.0ms (4.8%)

Accuracy

Total 0.2b remaining (14.6%)

Threshold costs 0.2b (14.6%)

Compiler

Compiled 6272 to 5394 computations (14% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	62	33
1	62	33

end0.0ms (0%)

sample2.8s (19.8%)

Algorithm

1×

intervals

Results

922.0ms	7834×	body	128	valid
42.0ms	68×	body	1024	valid
34.0ms	76×	body	1024	invalid
33.0ms	288×	body	128	invalid
26.0ms	76×	body	512	invalid
22.0ms	61×	body	512	valid
17.0ms	18×	body	2048	invalid
13.0ms	55×	body	256	invalid
9.0ms	37×	body	256	valid

Compiler

Compiled 1085 to 931 computations (14.2% saved)

Details

analyze2.9s (20.2%)

sample57.0ms (0.4%)

simplify66.0ms (0.5%)

prune5.0ms (0%)

localize19.0ms (0.1%)

rewrite210.0ms (1.5%)

series1.5s (10.3%)

simplify106.0ms (0.8%)

prune244.0ms (1.7%)

localize19.0ms (0.1%)

rewrite192.0ms (1.4%)

series1.9s (13.3%)

simplify111.0ms (0.8%)

prune201.0ms (1.4%)

localize36.0ms (0.3%)

rewrite167.0ms (1.2%)

series1.4s (9.6%)

simplify126.0ms (0.9%)

prune201.0ms (1.4%)

localize21.0ms (0.1%)

rewrite154.0ms (1.1%)

series874.0ms (6.2%)

simplify127.0ms (0.9%)

prune173.0ms (1.2%)

regimes672.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.8s (19.8%)

Profiling