Details

analyze2.3s (20.3%)

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)

sample47.0ms (0.4%)

Algorithm

1×

intervals

Results

24.0ms	250×	body	128	valid
1.0ms	3×	body	1024	valid
1.0ms	4×	body	512	invalid
1.0ms	3×	body	1024	invalid
1.0ms	2×	body	512	valid
1.0ms	1×	body	2048	invalid
0.0ms	5×	body	128	invalid
0.0ms	1×	body	256	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 59 to 52 computations (11.9% saved)

simplify50.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5097	43

prune11.0ms (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

Error

17.5b

Counts

2 → 1

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
0.1b	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)))
0.4b	(/.f64 (*.f64 K (+.f64 m n)) 2)
34.1b	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))

rewrite192.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

16.7b

Rules

20×	`*-un-lft-identity_binary64_760`
18×	`add-sqr-sqrt_binary64_782`
11×	`add-cube-cbrt_binary64_795`
10×	`add-log-exp_binary64_799` `add-exp-log_binary64_798`
9×	`add-cbrt-cube_binary64_796`
7×	`cancel-sign-sub-inv_binary64_726`
6×	`exp-prod_binary64_812` `unpow-prod-down_binary64_839`
5×	`pow1_binary64_821` `exp-sum_binary64_806`
4×	`cos-sum_binary64_894` `times-frac_binary64_766`
3×	`associate-/r*_binary64_704` `difference-of-squares_binary64_729` `distribute-lft-out--_binary64_712` `rem-exp-log_binary64_800` `pow-unpow_binary64_837`
2×	`sub-neg_binary64_753` `div-exp_binary64_811` `cbrt-undiv_binary64_794` `associate-*r/_binary64_702` `associate-/l/_binary64_707` `distribute-lft-out_binary64_711` `diff-log_binary64_852`
1×	`cos-diff_binary64_897` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `frac-2neg_binary64_771` `clear-num_binary64_759` `div-inv_binary64_757` `flip3-+_binary64_763` `flip-+_binary64_734` `associate-/l*_binary64_705` `exp-diff_binary64_808` `sum-log_binary64_851` `pow-pow_binary64_832` `pow-to-exp_binary64_829` `pow-exp_binary64_828` `unpow2_binary64_825` `sqr-pow_binary64_732`

Counts

4 → 78

Calls

4 calls:

18.0ms	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)))
11.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
10.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
7.0ms	(/.f64 (*.f64 K (+.f64 m n)) 2)

Compiler

Compiled 2923 to 1479 computations (49.4% saved)

series960.0ms (8.5%)

Error

1.3b

Counts

4 → 69

Calls

4 calls:

292.0ms	(pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2)
270.0ms	(exp.f64 (-.f64 (fabs.f64 (-.f64 m n)) (+.f64 (pow.f64 (-.f64 (/.f64 (+.f64 m n) 2) M) 2) l)))
190.0ms	(cos.f64 (-.f64 (/.f64 (*.f64 K (+.f64 m n)) 2) M))
104.0ms	(/.f64 (*.f64 K (+.f64 m n)) 2)

Compiler

Compiled 7370 to 4925 computations (33.2% saved)

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4972	3168
1	4972	3168

prune229.0ms (2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	141	6	147
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	142	6	148

Error

1.2b

Counts

148 → 6

Compiler

Compiled 5240 to 2507 computations (52.2% saved)

localize15.0ms (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

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

0.1b

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

rewrite133.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

24×	`*-un-lft-identity_binary64_760`
17×	`add-sqr-sqrt_binary64_782`
14×	`add-log-exp_binary64_799`
8×	`add-cube-cbrt_binary64_795` `cancel-sign-sub-inv_binary64_726`
6×	`exp-prod_binary64_812` `unpow-prod-down_binary64_839`
5×	`distribute-lft-out--_binary64_712` `exp-sum_binary64_806`
4×	`pow1_binary64_821` `difference-of-squares_binary64_729` `distribute-lft-out_binary64_711` `diff-log_binary64_852` `add-exp-log_binary64_798`
3×	`rem-exp-log_binary64_800` `add-cbrt-cube_binary64_796` `pow-unpow_binary64_837`
2×	`sub-neg_binary64_753` `sum-log_binary64_851`
1×	`exp-diff_binary64_808` `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_764` `flip--_binary64_735` `associate--r+_binary64_696`

Counts

3 → 63

Calls

3 calls:

18.0ms

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

17.0ms

(-.f64 (fabs.f64 (-.f64 m n)) (+.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 1950 to 990 computations (49.2% saved)

series1.2s (11%)

Error

1.2b

Counts

3 → 74

Calls

3 calls:

620.0ms

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

274.0ms

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

259.0ms

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

Compiler

Compiled 6084 to 4161 computations (31.6% saved)

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4999	3657
1	4999	3657

prune156.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	137	6	143

Error

1.2b

Counts

143 → 6

Compiler

Compiled 3816 to 1743 computations (54.3% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
34.2b	(cos.f64 (-.f64 (/.f64 (.f64 (/.f64 K (.f64 (cbrt.f64 2) (cbrt.f64 2))) (+.f64 n m)) (cbrt.f64 2)) M))

rewrite117.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

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

Counts

4 → 45

Calls

4 calls:

19.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (/.f64 K (.f64 (cbrt.f64 2) (cbrt.f64 2))) (+.f64 n m)) (cbrt.f64 2)) M))
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)

Compiler

Compiled 1951 to 1260 computations (35.4% saved)

series386.0ms (3.4%)

Error

1.2b

Counts

4 → 16

Calls

4 calls:

356.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (/.f64 K (.f64 (cbrt.f64 2) (cbrt.f64 2))) (+.f64 n m)) (cbrt.f64 2)) M))
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

Compiler

Compiled 2087 to 1543 computations (26.1% saved)

simplify58.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4962	871
1	4962	871

prune107.0ms (0.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	61	6	67

Error

1.2b

Counts

67 → 6

Compiler

Compiled 2400 to 1443 computations (39.9% saved)

localize30.0ms (0.3%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
1.0b	(cbrt.f64 2)
34.2b	(cos.f64 (-.f64 (/.f64 (.f64 (/.f64 K (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 2))))) (+.f64 n m)) (cbrt.f64 2)) M))

rewrite144.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

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

Counts

4 → 45

Calls

4 calls:

19.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (/.f64 K (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 2))))) (+.f64 n m)) (cbrt.f64 2)) M))
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)
1.0ms	(cbrt.f64 2)

Compiler

Compiled 2391 to 1700 computations (28.9% saved)

series418.0ms (3.7%)

Error

1.2b

Counts

4 → 16

Calls

4 calls:

386.0ms	(cos.f64 (-.f64 (/.f64 (.f64 (/.f64 K (.f64 (cbrt.f64 2) (.f64 (cbrt.f64 (.f64 (cbrt.f64 2) (cbrt.f64 2))) (cbrt.f64 (cbrt.f64 2))))) (+.f64 n m)) (cbrt.f64 2)) M))
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)
0.0ms	(cbrt.f64 2)

Compiler

Compiled 2087 to 1543 computations (26.1% saved)

simplify61.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5080	1339

prune133.0ms (1.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	60	1	61
Fresh	0	3	3
Picked	1	0	1
Done	0	2	2
Total	61	6	67

Error

1.2b

Counts

67 → 6

Compiler

Compiled 2807 to 1877 computations (33.1% saved)

regimes999.0ms (8.8%)

Accuracy

Total 0.2b remaining (18.8%)

Threshold costs 0.2b (18.8%)

Compiler

Compiled 13904 to 11400 computations (18% 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%)

sample3.3s (29.3%)

Algorithm

1×

intervals

Results

801.0ms	7851×	body	128	valid
37.0ms	92×	body	1024	invalid
35.0ms	68×	body	1024	valid
29.0ms	292×	body	128	invalid
28.0ms	79×	body	512	invalid
17.0ms	52×	body	512	valid
13.0ms	24×	body	2048	invalid
8.0ms	42×	body	256	invalid
6.0ms	28×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 2357 to 1932 computations (18% saved)

Details

analyze2.3s (20.3%)

sample47.0ms (0.4%)

simplify50.0ms (0.4%)

prune11.0ms (0.1%)

localize20.0ms (0.2%)

rewrite192.0ms (1.7%)

series960.0ms (8.5%)

simplify80.0ms (0.7%)

prune229.0ms (2%)

localize15.0ms (0.1%)

rewrite133.0ms (1.2%)

series1.2s (11%)

simplify81.0ms (0.7%)

prune156.0ms (1.4%)

localize25.0ms (0.2%)

rewrite117.0ms (1%)

series386.0ms (3.4%)

simplify58.0ms (0.5%)

prune107.0ms (0.9%)

localize30.0ms (0.3%)

rewrite144.0ms (1.3%)

series418.0ms (3.7%)

simplify61.0ms (0.5%)

prune133.0ms (1.2%)

regimes999.0ms (8.8%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.3s (29.3%)

Profiling