Details

Time bar (total: 10.7s)

sample185.0ms

Algorithm
intervals
Results
70.0ms63×body10240exit
43.0ms384×body80nan
31.0ms256×body80valid

simplify625.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite38.0ms

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:
19.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
14.0ms
(pow (sqrt (atan2 b b)) (- b a))
2.0ms
(sqrt (atan2 b b))

series167.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
45.0ms
(pow (sqrt (atan2 b b)) (- b a))
33.0ms
(sqrt (atan2 b b))

simplify601.0ms

Counts
57 → 57

prune230.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- b a))
0.6b
(cbrt (- b a))
0.6b
(cbrt (- b a))
1.0b
(sqrt (atan2 b b))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod add-sqr-sqrt
14×*-un-lft-identity
8×add-cube-cbrt
6×cbrt-div
5×pow1
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- pow1/3 sqrt-prod flip-- distribute-lft-out-- difference-of-squares
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 58
Calls
4 calls:
5.0ms
(cbrt (- b a))
10.0ms
(cbrt (- b a))
14.0ms
(cbrt (- b a))
2.0ms
(sqrt (atan2 b b))

series658.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt (- b a))
197.0ms
(cbrt (- b a))
250.0ms
(cbrt (- b a))
11.0ms
(sqrt (atan2 b b))

simplify1.5s

Counts
70 → 70

prune401.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0.0b

simplify927.0ms

end0.0ms

sample5.3s

Algorithm
intervals
Results
2.1s1832×body10240exit
1.3s7989×body80valid
1.1s9972×body80nan
8.0ms2×body5120valid
2.0ms1×body2560valid
2.0ms3×body640valid
1.0ms2×body320valid
1.0ms3×body160valid