Details

Time bar (total: 10.0m)

sample414.0ms

Algorithm
intervals
Results
34.0ms256×body80valid
29.0ms69×body10240exit
16.0ms312×body80nan

simplify55.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0135
1225
2445
31145
43155
516095
650015
done50015

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(sin (pow (sqrt (atan2 b b)) (- b a)))
0.1b
(pow (sqrt (atan2 b b)) (- b a))
1.0b
(sqrt (atan2 b b))

rewrite21.0ms

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:
9.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
7.0ms
(pow (sqrt (atan2 b b)) (- b a))
3.0ms
(sqrt (atan2 b b))

series117.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
25.0ms
(pow (sqrt (atan2 b b)) (- b a))
20.0ms
(sqrt (atan2 b b))

simplify45.0ms

Counts
57 → 57
Iterations

Useful iterations: 3 (40.0ms)

IterNodesCost
0148324
1412298
21345292
35001290
done5001290

prune129.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

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))

rewrite77.0ms

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:
26.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
42.0ms
(* (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))

series156.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
44.0ms
(* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a)))
11.0ms
(sqrt (atan2 b b))
12.0ms
(sqrt (atan2 b b))

simplify49.0ms

Counts
148 → 148
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
02801645
111691507
250011483
done50011483

prune299.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))
0.0b
(sin (* (pow 1 (- b a)) (pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))))
1.0b
(sqrt (atan2 b b))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
12×sqrt-prod
9×unpow-prod-down
8×add-sqr-sqrt
7×pow1 add-cube-cbrt *-un-lft-identity
5×pow-pow sqrt-pow1
4×unpow-prod-up add-exp-log
3×pow1/2 add-cbrt-cube add-log-exp
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-to-exp rem-sqrt-square pow-unpow pow-exp sqrt-pow2 sqr-pow
Counts
3 → 50
Calls
3 calls:
6.0ms
(pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))
30.0ms
(sin (* (pow 1 (- b a)) (pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))))
1.0ms
(sqrt (atan2 b b))

series6.9m

Counts
3 → 9
Calls
3 calls:
41.0ms
(pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))
6.9m
(sin (* (pow 1 (- b a)) (pow (sqrt (sqrt (atan2 b b))) (* 2 (- b a)))))
11.0ms
(sqrt (atan2 b b))

simplify129.0ms

Counts
59 → 59
Iterations

Useful iterations: 3 (124.0ms)

IterNodesCost
0223496
1863445
24214415
35002395
done5002395

prune138.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(exp (* 2 (* (- b a) (log (pow (atan2 b b) 1/4)))))
0.0b
(sin (exp (* 2 (* (- b a) (log (pow (atan2 b b) 1/4))))))
0.2b
(* (- b a) (log (pow (atan2 b b) 1/4)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
42×log-prod
35×distribute-rgt-in distribute-lft-in
28×exp-sum
21×add-sqr-sqrt
19×*-un-lft-identity
18×unpow-prod-down
17×add-cube-cbrt
6×sqr-pow
5×pow1 add-exp-log associate-*l* add-cbrt-cube add-log-exp
4×associate-*r*
2×associate-*l/
1×exp-prod flip3-- exp-to-pow pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod rem-exp-log distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 82
Calls
3 calls:
23.0ms
(exp (* 2 (* (- b a) (log (pow (atan2 b b) 1/4)))))
28.0ms
(sin (exp (* 2 (* (- b a) (log (pow (atan2 b b) 1/4))))))
22.0ms
(* (- b a) (log (pow (atan2 b b) 1/4)))

series224.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(exp (* 2 (* (- b a) (log (pow (atan2 b b) 1/4)))))
76.0ms
(sin (exp (* 2 (* (- b a) (log (pow (atan2 b b) 1/4))))))
114.0ms
(* (- b a) (log (pow (atan2 b b) 1/4)))

simplify43.0ms

Counts
91 → 91
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04511017
11514799
25002739
done5002739

prune165.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes45.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0148
1148
done148

end0.0ms

sample2.0s

Algorithm
intervals
Results
700.0ms1832×body10240exit
407.0ms7992×body80valid
406.0ms9701×body80nan
3.0ms1×body160valid
2.0ms2×body1280valid
1.0ms1×body2560valid
1.0ms2×body640valid
0.0ms2×body320valid

end3.0m