Details

Time bar (total: 4.1s)

analyze747.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.2%0.1%7
32.8%67.1%0.1%8
38.2%61.7%0.1%9
41%58.9%0.1%10
43.9%56%0.1%11
45.4%54.5%0.1%12
46.9%53%0.1%13
47.6%52.3%0.1%14

sample75.0ms

Algorithm
intervals
Results
25.0ms50×body1280valid
15.0ms15×body2560valid
11.0ms35×body640valid
9.0ms126×body80valid
4.0ms19×body320valid
2.0ms11×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01313
11313

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 35.3b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

5.7b
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
29.1b
(sin.f64 (/.f64 x (*.f64 y 2)))
29.4b
(tan.f64 (/.f64 x (*.f64 y 2)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
9×times-frac_binary64
5×add-exp-log_binary64 add-cbrt-cube_binary64
3×associate-/r*_binary64 add-log-exp_binary64 pow1_binary64 associate-/l*_binary64
2×tan-quot_binary64
1×associate-/l/_binary64 cbrt-undiv_binary64 clear-num_binary64 frac-2neg_binary64 div-inv_binary64 div-exp_binary64
Counts
3 → 43
Calls
3 calls:
6.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))

series40.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(/.f64 (tan.f64 (/.f64 x (*.f64 y 2))) (sin.f64 (/.f64 x (*.f64 y 2))))
4.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
18.0ms
(tan.f64 (/.f64 x (*.f64 y 2)))

simplify43.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05033733

prune93.0ms

Filtered
44 candidates to 52 candidates (-18.2%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New401252
Fresh000
Picked101
Done000
Total411253

Merged error: 26.8b

Counts
53 → 12

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify6.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune22.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01111
Picked011
Done000
Total01212

Merged error: 26.8b

Counts
12 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

5.8b
(/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))))
29.1b
(cos.f64 (/.f64 x (*.f64 y 2)))
29.1b
(sin.f64 (/.f64 x (*.f64 y 2)))
29.1b
(sin.f64 (/.f64 x (*.f64 y 2)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log_binary64 add-cbrt-cube_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
4×add-log-exp_binary64 pow1_binary64
3×associate-/l*_binary64 times-frac_binary64
2×cbrt-undiv_binary64 div-exp_binary64
1×associate-/r*_binary64 cbrt-unprod_binary64 associate-/r/_binary64 clear-num_binary64 prod-exp_binary64 frac-2neg_binary64 sin-cos-mult_binary64 div-inv_binary64
Counts
4 → 43
Calls
4 calls:
10.0ms
(/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))))
2.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

series21.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(/.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (*.f64 (sin.f64 (/.f64 x (*.f64 y 2))) (cos.f64 (/.f64 x (*.f64 y 2)))))
5.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
4.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))
4.0ms
(sin.f64 (/.f64 x (*.f64 y 2)))

simplify92.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04739538
14739538

prune75.0ms

Filtered
44 candidates to 55 candidates (-25.0%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New48755
Fresh3710
Picked101
Done011
Total521567

Merged error: 26.8b

Counts
67 → 15

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
29.1b
(cos.f64 (/.f64 x (*.f64 y 2)))
29.1b
(cos.f64 (/.f64 x (*.f64 y 2)))
29.1b
(cos.f64 (/.f64 x (*.f64 y 2)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
80×cbrt-prod_binary64
76×add-sqr-sqrt_binary64
52×times-frac_binary64
46×*-un-lft-identity_binary64
36×add-cube-cbrt_binary64
18×swap-sqr_binary64
16×associate-*r*_binary64 associate-*l*_binary64 unswap-sqr_binary64
11×pow1_binary64
6×pow1/3_binary64 add-exp-log_binary64 div-inv_binary64
4×cbrt-div_binary64 add-log-exp_binary64 add-cbrt-cube_binary64
2×pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
1×cbrt-unprod_binary64 associate-*r/_binary64 pow-plus_binary64 prod-exp_binary64 frac-times_binary64 pow2_binary64 associate-*l/_binary64 *-commutative_binary64
Counts
4 → 108
Calls
4 calls:
13.0ms
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
2.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
2.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
3.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))

series44.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(*.f64 (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))) (cbrt.f64 (/.f64 1 (cos.f64 (/.f64 x (*.f64 y 2))))))
5.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
5.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))
5.0ms
(cos.f64 (/.f64 x (*.f64 y 2)))

simplify68.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049462191
149462191

prune126.0ms

Filtered
79 candidates to 120 candidates (-51.9%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1137120
Fresh21113
Picked101
Done011
Total11619135

Merged error: 26.6b

Counts
135 → 19

regimes265.0ms

Accuracy

0% (2.7b remaining)

Error of 28.5b against oracle of 25.8b and baseline of 28.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
021
121

end0.0ms

sample2.3s

Algorithm
intervals
Results
703.0ms1386×body1280valid
627.0ms636×body2560valid
312.0ms998×body640valid
302.0ms4113×body80valid
128.0ms557×body320valid
54.0ms310×body160valid

Profiling

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