Details

Time bar (total: 17.3s)

sample145.0ms

Algorithm
intervals
Results
49.0ms47×body10240exit
31.0ms293×body80nan
29.0ms255×body80valid
3.0ms1×body5120valid

simplify1.4s

Counts
1 → 1
Iterations
IterNodes
done5000
5438
4117
345
222
113
07

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b
(pow (sqrt (atan2 b b)) (- b a))
0.3b
(sin (pow (sqrt (atan2 b b)) (- b a)))
1.0b
(sqrt (atan2 b b))

rewrite19.0ms

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 rem-sqrt-square sub-neg pow-exp sqrt-pow2 distribute-lft-out-- pow-sub difference-of-squares sqr-pow
Counts
3 → 48
Calls
3 calls:
6.0ms
(pow (sqrt (atan2 b b)) (- b a))
8.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
3.0ms
(sqrt (atan2 b b))

series148.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(pow (sqrt (atan2 b b)) (- b a))
101.0ms
(sin (pow (sqrt (atan2 b b)) (- b a)))
19.0ms
(sqrt (atan2 b b))

simplify2.7s

Counts
57 → 57
Iterations
IterNodes
done5002
34131
2653
1188
075

prune374.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt (sqrt (atan2 b b))) (- b a))
0.2b
(sin (* (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))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
15×sqrt-prod
14×add-sqr-sqrt
12×*-un-lft-identity
10×add-cube-cbrt
9×pow1 unpow-prod-down
6×sqrt-pow1
5×pow-unpow pow-pow add-exp-log
4×add-cbrt-cube pow1/2 add-log-exp
2×unpow-prod-up rem-sqrt-square
1×pow-to-exp sub-neg pow-exp sqrt-pow2 distribute-lft-out-- pow-sub difference-of-squares sqr-pow
Counts
4 → 66
Calls
4 calls:
19.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
43.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
2.0ms
(sqrt (atan2 b b))
2.0ms
(sqrt (atan2 b b))

series232.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(pow (sqrt (sqrt (atan2 b b))) (- b a))
170.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (pow (sqrt (sqrt (atan2 b b))) (- b a))))
12.0ms
(sqrt (atan2 b b))
12.0ms
(sqrt (atan2 b b))

simplify895.0ms

Counts
78 → 78
Iterations
IterNodes
done5000
2944
1265
0104

prune485.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.2b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a))))))
1.0b
(sqrt (atan2 b b))
1.0b
(sqrt (atan2 b b))
3.6b
(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
15×log-prod sqrt-prod
12×add-sqr-sqrt
10×*-un-lft-identity add-cube-cbrt
9×unpow-prod-down
6×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×rem-log-exp
2×unpow-prod-up rem-sqrt-square sqrt-pow1 pow1/2
1×pow-to-exp log-div sub-neg pow-exp log-pow pow-sub sqr-pow
Counts
4 → 60
Calls
4 calls:
52.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a))))))
1.0ms
(sqrt (atan2 b b))
1.0ms
(sqrt (atan2 b b))
5.0ms
(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

series331.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(sin (* (pow (sqrt (sqrt (atan2 b b))) (- b a)) (exp (log (pow (sqrt (sqrt (atan2 b b))) (- b a))))))
19.0ms
(sqrt (atan2 b b))
25.0ms
(sqrt (atan2 b b))
131.0ms
(log (pow (sqrt (sqrt (atan2 b b))) (- b a)))

simplify1.5s

Counts
72 → 72
Iterations
IterNodes
done5001
31737
2515
1219
0108

prune440.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.2b

localize65.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (log (sqrt (sqrt (atan2 b b)))) (- b a))
0.3b
(log (sin (* (exp (* (log (sqrt (sqrt (atan2 b b)))) (- b a))) (exp (* (log (sqrt (sqrt (atan2 b b)))) (- b a))))))
1.0b
(sqrt (atan2 b b))
1.0b
(sqrt (atan2 b b))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
12×pow1
11×*-un-lft-identity
9×add-cube-cbrt
8×associate-*l*
7×add-exp-log
6×sqrt-pow1 add-cbrt-cube log-pow sqrt-prod
5×associate-*r*
4×pow1/2 add-log-exp
3×log-prod
2×distribute-rgt-in rem-sqrt-square sub-neg distribute-lft-in associate-*r/
1×flip3-- rem-log-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 69
Calls
4 calls:
34.0ms
(* (log (sqrt (sqrt (atan2 b b)))) (- b a))
27.0ms
(log (sin (* (exp (* (log (sqrt (sqrt (atan2 b b)))) (- b a))) (exp (* (log (sqrt (sqrt (atan2 b b)))) (- b a))))))
2.0ms
(sqrt (atan2 b b))
2.0ms
(sqrt (atan2 b b))

series430.0ms

Counts
4 → 12
Calls
4 calls:
204.0ms
(* (log (sqrt (sqrt (atan2 b b)))) (- b a))
190.0ms
(log (sin (* (exp (* (log (sqrt (sqrt (atan2 b b)))) (- b a))) (exp (* (log (sqrt (sqrt (atan2 b b)))) (- b a))))))
17.0ms
(sqrt (atan2 b b))
17.0ms
(sqrt (atan2 b b))

simplify1.2s

Counts
81 → 81
Iterations
IterNodes
done5001
2816
1237
0114

prune569.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

regimes150.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
011

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.6s1888×body10240exit
1.2s9645×body80nan
1.2s7988×body80valid
24.0ms5×body5120valid
2.0ms6×body160valid
1.0ms1×body320valid