Details

Time bar (total: 13.2s)

sample403.0ms

Algorithm
intervals
Results
216.0ms56×body10240exit
75.0ms326×body80nan
32.0ms256×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
079
1139
2229
3459
41159
52689
68349
731979
done50019

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

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:
7.0ms
(pow (sqrt (atan2 b b)) (- b a))
9.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
4.0ms
(sqrt (atan2 b b))

series187.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(pow (sqrt (atan2 b b)) (- b a))
113.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
33.0ms
(sqrt (atan2 b b))

simplify2.5s

Counts
57 → 57
Iterations

Useful iterations: 3 (316.0ms)

IterNodesCost
075614
1147571
2337536
3843527
42738527
done5000527

prune222.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
84×sqrt-prod
78×unpow-prod-down
76×add-sqr-sqrt
25×unswap-sqr
23×swap-sqr
22×add-cube-cbrt *-un-lft-identity
16×add-exp-log
15×associate-*r* associate-*l*
14×sqr-pow
12×unpow-prod-up
9×prod-exp
6×pow1 pow-to-exp sub-neg pow-exp add-cbrt-cube
4×pow-sub add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2
1×pow2 frac-times associate-*r/ pow-prod-down associate-*l/ pow-sqr *-commutative pow-prod-up cbrt-unprod
Counts
4 → 136
Calls
4 calls:
45.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
56.0ms
(* (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))

series186.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
48.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
17.0ms
(sqrt (atan2 b b))
21.0ms
(sqrt (atan2 b b))

simplify3.2s

Counts
148 → 148
Iterations

Useful iterations: done (3.2s)

IterNodesCost
01413640
12812623
29572461
338122409
done50012400

prune387.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(sin (cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)))
0.0b
(cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6))
0.0b
(pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)
1.0b
(sqrt (atan2 b b))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
48×unpow-prod-down
21×sqrt-prod
19×cbrt-prod
16×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
6×add-exp-log
5×pow1
4×unpow-prod-up pow-exp add-cbrt-cube add-log-exp sqr-pow
3×pow-unpow
2×pow-to-exp sub-neg
1×rem-sqrt-square pow-pow sqrt-pow1 pow1/2 pow1/3
Counts
4 → 78
Calls
4 calls:
25.0ms
(sin (cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)))
13.0ms
(cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6))
21.0ms
(pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)
1.0ms
(sqrt (atan2 b b))

series257.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(sin (cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)))
61.0ms
(cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6))
79.0ms
(pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)
14.0ms
(sqrt (atan2 b b))

simplify1.6s

Counts
90 → 90
Iterations

Useful iterations: 3 (541.0ms)

IterNodesCost
01481596
12961487
26791383
324401332
done50011332

prune257.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.0ms