Details

analyze1.7s (4.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5431	154
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
50%	50%	0.1%	4
74.9%	25%	0.1%	5
74.9%	25%	0.1%	6
74.9%	25%	0.1%	7
74.9%	25%	0.1%	8
74.9%	25%	0.1%	9
74.9%	25%	0.1%	10
74.9%	25%	0.1%	11
74.9%	25%	0.1%	12
74.9%	25%	0.1%	13
74.9%	25%	0.1%	14

Compiler

Compiled 51 to 41 computations (19.6% saved)

sample327.0ms (0.8%)

Algorithm

1×

intervals

Results

217.0ms	125×	body	1024	valid
43.0ms	37×	body	512	valid
26.0ms	74×	body	128	valid
16.0ms	20×	body	256	valid

Compiler

Compiled 101 to 83 computations (17.8% saved)

simplify88.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4940	77
1	4940	77

prune22.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.4b

Counts

2 → 2

Compiler

Compiled 146 to 116 computations (20.5% saved)

localize66.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1))))
0.6b	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
1.0b	(-.f64 3 (sqrt.f64 5))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite886.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

60×	`distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460`
57×	`cancel-sign-sub-inv_binary64_4477`
30×	`add-sqr-sqrt_binary64_4533`
28×	`*-un-lft-identity_binary64_4511` `associate-+l+_binary64_4444`
24×	`add-cube-cbrt_binary64_4546`
20×	`associate-*r/_binary64_4453`
16×	`sqrt-prod_binary64_4527` `associate-+r+_binary64_4443`
14×	`sub-neg_binary64_4504`
10×	`add-log-exp_binary64_4550`
9×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
7×	`flip3--_binary64_4515` `flip--_binary64_4486`
4×	`frac-add_binary64_4519`
3×	`difference-of-squares_binary64_4480` `pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `associate-l_binary64_4452`
2×	`diff-log_binary64_4603` `distribute-lft-out--_binary64_4463`
1×	`diff-cos_binary64_4662` `associate-r_binary64_4451` `*-commutative_binary64_4442` `sum-log_binary64_4602` `flip3-+_binary64_4514` `flip-+_binary64_4485` `+-commutative_binary64_4441`

Counts

4 → 132

Calls

4 calls:

31.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1))))
20.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
10.0ms	(-.f64 3 (sqrt.f64 5))
10.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 7757 to 5284 computations (31.9% saved)

series998.0ms (2.4%)

Error

0.4b

Counts

4 → 26

Calls

4 calls:

562.0ms	(+.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 3 (sqrt.f64 5)))) (.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1))))
180.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
127.0ms	(.f64 3/2 (.f64 (cos.f64 x) (-.f64 (sqrt.f64 5) 1)))
0.0ms	(-.f64 3 (sqrt.f64 5))

Compiler

Compiled 3623 to 2736 computations (24.5% saved)

simplify124.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	5669	3505

prune878.0ms (2.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	149	9	158
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	150	10	160

Error

0.1b

Counts

160 → 10

Compiler

Compiled 9074 to 5959 computations (34.3% saved)

localize81.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(+.f64 (.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 27 (.f64 5 (sqrt.f64 5))))) (+.f64 1 (sqrt.f64 5))) (.f64 (+.f64 (.f64 (sqrt.f64 5) 3) 14) (*.f64 6 (cos.f64 x))))
0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(.f64 3/2 (-.f64 27 (.f64 5 (sqrt.f64 5))))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite1.7s (4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

37×	`add-sqr-sqrt_binary64_4533`
32×	`associate-*r/_binary64_4453`
31×	`cancel-sign-sub-inv_binary64_4477`
28×	`*-un-lft-identity_binary64_4511`
24×	`add-cube-cbrt_binary64_4546`
20×	`associate-*l/_binary64_4454`
19×	`times-frac_binary64_4517`
17×	`distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460`
16×	`frac-add_binary64_4519`
15×	`flip3-+_binary64_4514` `flip-+_binary64_4485`
9×	`flip3--_binary64_4515` `flip--_binary64_4486` `associate-l_binary64_4452` `associate-r_binary64_4451`
8×	`add-log-exp_binary64_4550` `pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547` `frac-times_binary64_4521`
5×	`sub-neg_binary64_4504`
4×	`sqrt-prod_binary64_4527`
3×	`difference-of-squares_binary64_4480` `unswap-sqr_binary64_4479`
2×	`distribute-lft-out--_binary64_4463` `pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442` `div-inv_binary64_4508` `associate-+l+_binary64_4444`
1×	`diff-cos_binary64_4662` `diff-log_binary64_4603` `sum-log_binary64_4602` `+-commutative_binary64_4441`

Counts

4 → 125

Calls

4 calls:

35.0ms	(+.f64 (.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 27 (.f64 5 (sqrt.f64 5))))) (+.f64 1 (sqrt.f64 5))) (.f64 (+.f64 (.f64 (sqrt.f64 5) 3) 14) (*.f64 6 (cos.f64 x))))
32.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
13.0ms	(.f64 3/2 (-.f64 27 (.f64 5 (sqrt.f64 5))))
10.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 11099 to 8716 computations (21.5% saved)

series1.6s (3.7%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

847.0ms	(+.f64 (.f64 (.f64 (cos.f64 y) (.f64 3/2 (-.f64 27 (.f64 5 (sqrt.f64 5))))) (+.f64 1 (sqrt.f64 5))) (.f64 (+.f64 (.f64 (sqrt.f64 5) 3) 14) (*.f64 6 (cos.f64 x))))
310.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
217.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(.f64 3/2 (-.f64 27 (.f64 5 (sqrt.f64 5))))

Compiler

Compiled 5689 to 4638 computations (18.5% saved)

simplify129.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5243	4757

prune1.4s (3.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	1	8	9
Picked	1	0	1
Done	0	0	0
Total	152	13	165

Error

0.1b

Counts

165 → 13

Compiler

Compiled 12947 to 9911 computations (23.4% saved)

localize91.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
1.0b	(.f64 3/2 (-.f64 27 (.f64 5 (sqrt.f64 5))))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))
2.0b	(log.f64 (exp.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))))

rewrite1.5s (3.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

57×	`cancel-sign-sub-inv_binary64_4477`
52×	`add-sqr-sqrt_binary64_4533`
43×	`*-un-lft-identity_binary64_4511`
39×	`add-cube-cbrt_binary64_4546`
37×	`times-frac_binary64_4517`
31×	`log-prod_binary64_4597`
30×	`distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460`
28×	`exp-sum_binary64_4557`
9×	`pow1_binary64_4572` `associate-l_binary64_4452` `associate-r_binary64_4451`
8×	`add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
7×	`add-log-exp_binary64_4550` `sub-neg_binary64_4504`
4×	`div-inv_binary64_4508` `associate-*r/_binary64_4453` `sqrt-prod_binary64_4527`
3×	`log-pow_binary64_4600` `flip3--_binary64_4515` `flip--_binary64_4486` `difference-of-squares_binary64_4480` `unswap-sqr_binary64_4479`
2×	`distribute-lft-out--_binary64_4463` `pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544` `*-commutative_binary64_4442`
1×	`exp-to-pow_binary64_4573` `exp-prod_binary64_4563` `rem-log-exp_binary64_4552` `diff-cos_binary64_4662` `diff-log_binary64_4603`

Counts

4 → 138

Calls

4 calls:

29.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
16.0ms	(log.f64 (exp.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))))
12.0ms	(.f64 3/2 (-.f64 27 (.f64 5 (sqrt.f64 5))))
9.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 11220 to 8542 computations (23.9% saved)

series1.4s (3.3%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

654.0ms	(log.f64 (exp.f64 (*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))))
326.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
214.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
0.0ms	(.f64 3/2 (-.f64 27 (.f64 5 (sqrt.f64 5))))

Compiler

Compiled 5538 to 4621 computations (16.6% saved)

simplify152.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

168 → 168

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	5060	3057

prune1.6s (3.8%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	167	1	168
Fresh	0	12	12
Picked	1	0	1
Done	0	0	0
Total	168	13	181

Error

0.1b

Counts

181 → 13

Compiler

Compiled 13529 to 10403 computations (23.1% saved)

localize110.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
0.6b	(.f64 (+.f64 1 (sqrt.f64 5)) (.f64 (cos.f64 y) 906))
0.8b	(.f64 (.f64 6 (cos.f64 x)) (+.f64 27 (*.f64 5 (sqrt.f64 5))))
1.4b	(-.f64 (cos.f64 x) (cos.f64 y))

rewrite1.7s (4.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

36×	`add-sqr-sqrt_binary64_4533`
31×	`*-un-lft-identity_binary64_4511`
29×	`cancel-sign-sub-inv_binary64_4477`
24×	`add-cube-cbrt_binary64_4546`
19×	`times-frac_binary64_4517`
16×	`pow1_binary64_4572` `add-exp-log_binary64_4549` `add-cbrt-cube_binary64_4547`
15×	`distribute-rgt-in_binary64_4461` `distribute-lft-in_binary64_4460`
12×	`associate-l_binary64_4452`
10×	`associate-r_binary64_4451`
7×	`pow-prod-down_binary64_4582` `prod-exp_binary64_4560` `cbrt-unprod_binary64_4544`
6×	`add-log-exp_binary64_4550`
5×	`sqrt-prod_binary64_4527`
4×	`associate-*r/_binary64_4453`
3×	`sub-neg_binary64_4504` `difference-of-squares_binary64_4480` `*-commutative_binary64_4442`
2×	`flip3--_binary64_4515` `flip--_binary64_4486` `distribute-lft-out--_binary64_4463` `flip3-+_binary64_4514` `flip-+_binary64_4485` `associate-*l/_binary64_4454` `distribute-lft-out_binary64_4462` `unswap-sqr_binary64_4479` `div-inv_binary64_4508`
1×	`diff-cos_binary64_4662` `diff-log_binary64_4603`

Counts

4 → 116

Calls

4 calls:

30.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
18.0ms	(.f64 (+.f64 1 (sqrt.f64 5)) (.f64 (cos.f64 y) 906))
16.0ms	(.f64 (.f64 6 (cos.f64 x)) (+.f64 27 (*.f64 5 (sqrt.f64 5))))
10.0ms	(-.f64 (cos.f64 x) (cos.f64 y))

Compiler

Compiled 11545 to 9317 computations (19.3% saved)

series1.1s (2.7%)

Error

0.1b

Counts

4 → 30

Calls

4 calls:

312.0ms	(*.f64 (sqrt.f64 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 y) 16)))
243.0ms	(-.f64 (cos.f64 x) (cos.f64 y))
195.0ms	(.f64 (.f64 6 (cos.f64 x)) (+.f64 27 (*.f64 5 (sqrt.f64 5))))
110.0ms	(.f64 (+.f64 1 (sqrt.f64 5)) (.f64 (cos.f64 y) 906))

Compiler

Compiled 7087 to 6154 computations (13.2% saved)

simplify148.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4879	2622
1	4879	2622

prune1.7s (4.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	146	13	159

Error

0.1b

Counts

159 → 13

Compiler

Compiled 13881 to 11283 computations (18.7% saved)

regimes2.3s (5.5%)

Accuracy

Total 0.3b remaining (72.2%)

Threshold costs 0.3b (72.2%)

Compiler

Compiled 19286 to 16165 computations (16.2% saved)

bsearch0.0ms (0%)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	88	93
1	88	93

end0.0ms (0%)

sample19.9s (47.9%)

Algorithm

1×

intervals

Results

6.0s	3519×	body	1024	valid
1.6s	1352×	body	512	valid
895.0ms	2489×	body	128	valid
470.0ms	620×	body	256	valid
56.0ms	20×	body	2048	valid

Compiler

Compiled 6503 to 5450 computations (16.2% saved)

Details

analyze1.7s (4.1%)

sample327.0ms (0.8%)

simplify88.0ms (0.2%)

prune22.0ms (0.1%)

localize66.0ms (0.2%)

rewrite886.0ms (2.1%)

series998.0ms (2.4%)

simplify124.0ms (0.3%)

prune878.0ms (2.1%)

localize81.0ms (0.2%)

rewrite1.7s (4%)

series1.6s (3.7%)

simplify129.0ms (0.3%)

prune1.4s (3.3%)

localize91.0ms (0.2%)

rewrite1.5s (3.5%)

series1.4s (3.3%)

simplify152.0ms (0.4%)

prune1.6s (3.8%)

localize110.0ms (0.3%)

rewrite1.7s (4.1%)

series1.1s (2.7%)

simplify148.0ms (0.4%)

prune1.7s (4.2%)

regimes2.3s (5.5%)

bsearch0.0ms (0%)

simplify6.0ms (0%)

end0.0ms (0%)

sample19.9s (47.9%)

Profiling