Details

Time bar (total: 13.1s)

sample218.0ms

Algorithm
intervals
Results
77.0ms326×body80nan
36.0ms56×body10240exit
24.0ms256×body80valid

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
079
1139
2229
3459
41159
52749
68379
732179
done50019

prune4.0ms

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))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
11×unpow-prod-up
9×prod-diff
6×pow1 unpow-prod-down sqrt-prod
5×pow-unpow
4×add-exp-log
3×expm1-log1p-u pow-pow add-cbrt-cube log1p-expm1-u add-log-exp
2×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 → 63
Calls
3 calls:
9.0ms
(pow (sqrt (atan2 b b)) (- b a))
12.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
4.0ms
(sqrt (atan2 b b))

series135.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(pow (sqrt (atan2 b b)) (- b a))
74.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
35.0ms
(sqrt (atan2 b b))

simplify3.2s

Counts
72 → 72
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
0117962
1246836
2485757
31274728
44144699
done5000699

prune164.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

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))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
100×add-sqr-sqrt
84×sqrt-prod
78×unpow-prod-down
48×unpow-prod-up
46×add-cube-cbrt *-un-lft-identity
36×prod-diff
32×swap-sqr
25×unswap-sqr
24×associate-*r* associate-*l*
16×add-exp-log
14×sqr-pow
9×prod-exp
6×pow1 pow-to-exp sub-neg pow-exp add-cbrt-cube
4×expm1-log1p-u log1p-expm1-u 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 → 171
Calls
4 calls:
29.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
66.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
1.0ms
(sqrt (atan2 b b))
2.0ms
(sqrt (atan2 b b))

series178.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
46.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
12.0ms
(sqrt (atan2 b b))
18.0ms
(sqrt (atan2 b b))

simplify2.5s

Counts
183 → 183
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02094894
14343381
212473082
347012989
done50002988

prune429.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

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))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
66×unpow-prod-down
28×cbrt-prod add-sqr-sqrt
27×add-cube-cbrt *-un-lft-identity
22×unpow-prod-up
21×sqrt-prod
18×prod-diff
6×add-exp-log
5×pow1
4×expm1-log1p-u pow-exp add-cbrt-cube log1p-expm1-u 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 → 104
Calls
4 calls:
33.0ms
(sin (cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)))
14.0ms
(cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6))
18.0ms
(pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)
2.0ms
(sqrt (atan2 b b))

series221.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(sin (cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)))
43.0ms
(cbrt (pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6))
70.0ms
(pow (pow (sqrt (sqrt (atan2 b b))) (- b a)) 6)
12.0ms
(sqrt (atan2 b b))

simplify1.7s

Counts
116 → 116
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02182410
14422136
29321943
330381852
done50001795

prune287.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.0ms