Details

Time bar (total: 17.0s)

sample315.0ms

Algorithm
intervals
Results
24.0ms56×body10240exit
16.0ms306×body80nan
14.0ms256×body80valid

simplify4.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
079
1139
2229
3459
41109
52629
67389
726389
done50009

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite14.0ms

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:
4.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
4.0ms
(pow (sqrt (atan2 b b)) (- b a))
3.0ms
(sqrt (atan2 b b))

series107.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
30.0ms
(pow (sqrt (atan2 b b)) (- b a))
17.0ms
(sqrt (atan2 b b))

simplify1.8s

Counts
57 → 57
Iterations

Useful iterations: 3 (169.0ms)

IterNodesCost
075614
1148575
2344536
3812527
42393527
done5001527

prune136.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt (sqrt (atan2 b b))) (- b a))
0.0b
(* (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))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
93×sqrt-prod
87×unpow-prod-down
82×add-sqr-sqrt
28×*-un-lft-identity
26×add-cube-cbrt
25×unswap-sqr
23×swap-sqr
17×add-exp-log
15×associate-*r* associate-*l* sqr-pow
14×unpow-prod-up
9×pow1 prod-exp
7×pow-to-exp sub-neg pow-exp
6×sqrt-pow1 add-cbrt-cube
5×pow-unpow pow-pow pow-sub
4×pow1/2 add-log-exp
2×rem-sqrt-square
1×pow2 frac-times associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up sqrt-pow2 cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
4 → 162
Calls
4 calls:
5.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
29.0ms
(* (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))

series90.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
38.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
10.0ms
(sqrt (atan2 b b))
10.0ms
(sqrt (atan2 b b))

simplify3.0s

Counts
174 → 174
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01443870
12932920
210482760
348132711
done50002711

prune378.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt (cbrt (sqrt (atan2 b b)))) (* 2 (- b a)))
0.0b
(pow (fabs (cbrt (sqrt (atan2 b b)))) (* 2 (- b a)))
1.0b
(sqrt (atan2 b b))
1.0b
(sqrt (atan2 b b))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-prod
15×unpow-prod-down
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×pow1
8×unpow-prod-up
6×add-exp-log cbrt-prod
5×pow-pow
4×distribute-rgt-in sub-neg distribute-lft-in sqrt-pow1 add-cbrt-cube add-log-exp
3×pow1/2
2×pow-to-exp rem-sqrt-square pow-unpow pow-exp sqr-pow
1×pow1/3 sqrt-pow2
Counts
4 → 77
Calls
4 calls:
5.0ms
(pow (sqrt (cbrt (sqrt (atan2 b b)))) (* 2 (- b a)))
2.0ms
(pow (fabs (cbrt (sqrt (atan2 b b)))) (* 2 (- b a)))
1.0ms
(sqrt (atan2 b b))
1.0ms
(sqrt (atan2 b b))

series79.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(pow (sqrt (cbrt (sqrt (atan2 b b)))) (* 2 (- b a)))
27.0ms
(pow (fabs (cbrt (sqrt (atan2 b b)))) (* 2 (- b a)))
10.0ms
(sqrt (atan2 b b))
10.0ms
(sqrt (atan2 b b))

simplify1.6s

Counts
89 → 89
Iterations

Useful iterations: 3 (439.0ms)

IterNodesCost
01311287
12671200
26181137
316821079
done50001079

prune311.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
101×unpow-prod-down
76×add-sqr-sqrt
69×sqrt-prod
35×unswap-sqr
24×add-exp-log
21×*-un-lft-identity sqr-pow
19×add-cube-cbrt
18×pow-exp
17×associate-*r*
15×associate-*l* prod-exp
12×pow-to-exp
9×pow1
6×sqrt-pow1 add-cbrt-cube
5×pow-unpow pow-pow
4×unpow-prod-up pow1/2 add-log-exp
2×sub-neg rem-sqrt-square pow-sub
1×associate-*l/ *-commutative sqrt-pow2 cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
4 → 151
Calls
4 calls:
5.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
40.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (pow (sqrt (sqrt (atan2 b b))) (sqrt (- b a))) (sqrt (- b a))))
1.0ms
(sqrt (atan2 b b))
1.0ms
(sqrt (atan2 b b))

series637.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
585.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (pow (sqrt (sqrt (atan2 b b))) (sqrt (- b a))) (sqrt (- b a))))
10.0ms
(sqrt (atan2 b b))
10.0ms
(sqrt (atan2 b b))

simplify759.0ms

Counts
163 → 163
Iterations

Useful iterations: done (753.0ms)

IterNodesCost
01944482
14454317
215164034
done50004022

prune460.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01426
11626
done1626

end0.0ms

sample2.3s

Algorithm
intervals
Results
814.0ms1811×body10240exit
604.0ms7989×body80valid
460.0ms9846×body80nan
6.0ms2×body5120valid
1.0ms2×body1280valid
1.0ms1×body2560valid
1.0ms2×body640valid
1.0ms3×body320valid
0.0ms1×body160valid