Details

Time bar (total: 4.5s)

sample316.0ms

Algorithm
intervals
Results
25.0ms53×body10240exit
17.0ms328×body80nan
14.0ms255×body80valid
2.0ms1×body1280valid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0135
1225
2445
31145
43155
516095
650015

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b
(pow (sqrt (atan2 b b)) (- b a))
0.2b
(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0b
(sqrt (atan2 b b))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×*-un-lft-identity
7×add-cube-cbrt
6×pow1 unpow-prod-down sqrt-prod
5×pow-unpow
4×add-exp-log
3×pow-pow add-cbrt-cube add-log-exp
2×unpow-prod-up sqrt-pow1 pow1/2
1×pow-to-exp sub-neg rem-sqrt-square pow-exp sqrt-pow2 distribute-lft-out-- pow-sub difference-of-squares sqr-pow
Counts
3 → 48
Calls
3 calls:
3.0ms
(pow (sqrt (atan2 b b)) (- b a))
4.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
3.0ms
(sqrt (atan2 b b))

series112.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(pow (sqrt (atan2 b b)) (- b a))
62.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
30.0ms
(sqrt (atan2 b b))

simplify51.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0148324
1412298
21346292
35001290

prune127.0ms

Filtered
57 candidates to 36 candidates (63.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt (sqrt (atan2 b b))) (- b a))
0.3b
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
1.0b
(sqrt (atan2 b b))
1.0b
(sqrt (atan2 b b))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
15×sqrt-prod
14×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt
9×pow1 unpow-prod-down
6×sqrt-pow1
5×add-exp-log pow-unpow pow-pow
4×pow1/2 add-cbrt-cube add-log-exp
2×unpow-prod-up rem-sqrt-square
1×pow-to-exp sub-neg pow-exp sqrt-pow2 distribute-lft-out-- pow-sub difference-of-squares sqr-pow
Counts
4 → 66
Calls
4 calls:
4.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
8.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
1.0ms
(sqrt (atan2 b b))
1.0ms
(sqrt (atan2 b b))

series138.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
87.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
10.0ms
(sqrt (atan2 b b))
13.0ms
(sqrt (atan2 b b))

simplify71.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0201521
1574477
22332466
35001466

prune216.0ms

Filtered
78 candidates to 50 candidates (64.1%)
Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a))))))
1.0b
(sqrt (atan2 b b))
1.0b
(sqrt (atan2 b b))
4.9b
(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
15×log-prod sqrt-prod
12×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
6×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×rem-log-exp
2×unpow-prod-up rem-sqrt-square sqrt-pow1 pow1/2
1×pow-to-exp sub-neg log-div pow-exp log-pow pow-sub sqr-pow
Counts
4 → 60
Calls
4 calls:
14.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a))))))
1.0ms
(sqrt (atan2 b b))
1.0ms
(sqrt (atan2 b b))
3.0ms
(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

series188.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a))))))
13.0ms
(sqrt (atan2 b b))
10.0ms
(sqrt (atan2 b b))
81.0ms
(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
0204575
1466508
21757499
35001499

prune229.0ms

Filtered
72 candidates to 48 candidates (66.7%)
Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (sqrt (cbrt (atan2 b b))) (- b a))
0.3b
(sin (* (pow (fabs (cbrt (atan2 b b))) (- b a)) (pow (sqrt (cbrt (atan2 b b))) (- b a))))
1.0b
(cbrt (atan2 b b))
1.0b
(cbrt (atan2 b b))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×add-cube-cbrt
9×cbrt-prod unpow-prod-down
6×pow1 sqrt-prod
5×add-exp-log pow-unpow
4×pow-pow add-cbrt-cube add-log-exp
3×pow1/3
2×unpow-prod-up sqrt-pow1
1×pow-to-exp sub-neg pow1/2 pow-exp sqrt-pow2 distribute-lft-out-- pow-sub difference-of-squares sqr-pow
Counts
4 → 61
Calls
4 calls:
4.0ms
(pow (sqrt (cbrt (atan2 b b))) (- b a))
8.0ms
(sin (* (pow (fabs (cbrt (atan2 b b))) (- b a)) (pow (sqrt (cbrt (atan2 b b))) (- b a))))
0.0ms
(cbrt (atan2 b b))
1.0ms
(cbrt (atan2 b b))

series375.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(pow (sqrt (cbrt (atan2 b b))) (- b a))
138.0ms
(sin (* (pow (fabs (cbrt (atan2 b b))) (- b a)) (pow (sqrt (cbrt (atan2 b b))) (- b a))))
105.0ms
(cbrt (atan2 b b))
105.0ms
(cbrt (atan2 b b))

simplify76.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
0228557
1669504
22529483
35002470

prune228.0ms

Filtered
73 candidates to 52 candidates (71.2%)
Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes43.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01214
11214

end0.0ms

sample2.0s

Algorithm
intervals
Results
767.0ms1769×body10240exit
460.0ms9746×body80nan
445.0ms7996×body80valid
1.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body160valid