Details

Time bar (total: 26.4s)

sample44.0ms

Algorithm
intervals
Results
19.0ms387×body80valid
6.0ms143×body80nan

simplify3.3s

Counts
1 → 1
Iterations
IterNodes
done5000
62347
5652
4213
394
250
124
012

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (pow k m) a)
0.0b
(fma k (+ k 10.0) 1.0)
2.6b
(/ (* (pow k m) a) (fma k (+ k 10.0) 1.0))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
13×add-sqr-sqrt
10×add-cbrt-cube
8×*-un-lft-identity add-cube-cbrt
7×associate-*l*
6×prod-exp
4×unpow-prod-down div-exp
3×expm1-log1p-u pow1 associate-/r* times-frac associate-*r* log1p-expm1-u add-log-exp unswap-sqr
2×pow-to-exp cbrt-undiv pow-exp cbrt-unprod sqr-pow
1×clear-num frac-2neg *-commutative fma-udef div-inv associate-/l*
Counts
3 → 62
Calls
3 calls:
9.0ms
(* (pow k m) a)
0.0ms
(fma k (+ k 10.0) 1.0)
12.0ms
(/ (* (pow k m) a) (fma k (+ k 10.0) 1.0))

series303.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(* (pow k m) a)
31.0ms
(fma k (+ k 10.0) 1.0)
146.0ms
(/ (* (pow k m) a) (fma k (+ k 10.0) 1.0))

simplify1.6s

Counts
71 → 71
Iterations
IterNodes
done5000
21109
1334
0138

prune421.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.9b
(/ 99.0 (* k k))
1.8b
(fma (/ a k) (/ (exp (* (log k) m)) k) (* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k))))
1.8b
(* (/ a k) (/ (exp (* (log k) m)) k))
4.3b
(* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
233×times-frac
193×add-sqr-sqrt
182×prod-diff
173×*-un-lft-identity
171×add-cube-cbrt
93×distribute-rgt-in distribute-lft-in
43×div-inv
39×add-cbrt-cube
35×add-exp-log
21×associate-*r*
14×frac-times associate-*l* prod-exp cbrt-unprod
11×pow1
10×cbrt-undiv div-exp
8×associate-*l/ associate-*r/
4×expm1-log1p-u flip3-- pow-prod-down frac-sub log1p-expm1-u flip-- add-log-exp difference-of-squares unswap-sqr
3×associate-/l*
2×sub-neg *-commutative
1×clear-num associate-/r* frac-2neg fma-udef distribute-lft-out--
Counts
4 → 317
Calls
4 calls:
12.0ms
(/ 99.0 (* k k))
1.0ms
(fma (/ a k) (/ (exp (* (log k) m)) k) (* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k))))
42.0ms
(* (/ a k) (/ (exp (* (log k) m)) k))
138.0ms
(* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))

series642.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ 99.0 (* k k))
290.0ms
(fma (/ a k) (/ (exp (* (log k) m)) k) (* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k))))
103.0ms
(* (/ a k) (/ (exp (* (log k) m)) k))
212.0ms
(* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))

simplify2.6s

Counts
329 → 329
Iterations
IterNodes
done5000
12131
0655

prune3.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize133.0ms

Local error

Found 4 expressions with local error:

4.3b
(* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))
14.5b
(cbrt (fma (/ a k) (/ (exp (* (log k) m)) k) (* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))))
14.5b
(cbrt (fma (/ a k) (/ (exp (* (log k) m)) k) (* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))))
14.5b
(cbrt (fma (/ a k) (/ (exp (* (log k) m)) k) (* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))))

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
208×times-frac
182×prod-diff
168×add-sqr-sqrt
160×*-un-lft-identity
158×add-cube-cbrt
93×distribute-rgt-in distribute-lft-in
40×div-inv
22×add-cbrt-cube
20×add-exp-log
13×frac-times
9×cbrt-prod pow1 prod-exp cbrt-unprod
8×associate-*r*
7×associate-*l/ associate-*r/
4×expm1-log1p-u cbrt-undiv flip3-- div-exp frac-sub log1p-expm1-u flip-- add-log-exp difference-of-squares
3×pow1/3 pow-prod-down
2×sub-neg
1×associate-*l* *-commutative distribute-lft-out--
Counts
4 → 271
Calls
4 calls:
198.0ms
(* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))
1.0ms
(cbrt (fma (/ a k) (/ (exp (* (log k) m)) k) (* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))))
1.0ms
(cbrt (fma (/ a k) (/ (exp (* (log k) m)) k) (* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))))
2.0ms
(cbrt (fma (/ a k) (/ (exp (* (log k) m)) k) (* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))))

series1.5s

Counts
4 → 12
Calls
4 calls:
212.0ms
(* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))
472.0ms
(cbrt (fma (/ a k) (/ (exp (* (log k) m)) k) (* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))))
434.0ms
(cbrt (fma (/ a k) (/ (exp (* (log k) m)) k) (* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))))
422.0ms
(cbrt (fma (/ a k) (/ (exp (* (log k) m)) k) (* (* (/ a k) (/ (exp (* (log k) m)) k)) (- (/ 99.0 (* k k)) (/ 10.0 k)))))

simplify2.7s

Counts
283 → 283
Iterations
IterNodes
done5000
11889
0609

prune3.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 1.0 (* 10.0 k))
0.1b
(fma (* (log k) 1.0) (* a m) (* a (- 1.0 (* 10.0 k))))
0.1b
(* a (- 1.0 (* 10.0 k)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×*-un-lft-identity prod-diff add-cube-cbrt
5×distribute-rgt-in pow1 distribute-lft-in add-cbrt-cube add-exp-log add-log-exp
3×expm1-log1p-u sub-neg fma-neg associate-*r* associate-*l* log1p-expm1-u
2×flip3-- associate-*r/ flip--
1×diff-log pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
3 → 62
Calls
3 calls:
5.0ms
(- 1.0 (* 10.0 k))
0.0ms
(fma (* (log k) 1.0) (* a m) (* a (- 1.0 (* 10.0 k))))
15.0ms
(* a (- 1.0 (* 10.0 k)))

series241.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- 1.0 (* 10.0 k))
104.0ms
(fma (* (log k) 1.0) (* a m) (* a (- 1.0 (* 10.0 k))))
70.0ms
(* a (- 1.0 (* 10.0 k)))

simplify2.5s

Counts
71 → 71
Iterations
IterNodes
done5000
33771
2921
1296
0121

prune442.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

98.4% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 2.0b

bsearch106.0ms

Steps
ItersRangePoint
10
136722479363809.36
1.9717371469647825e+28
7.331755494272774e+19

simplify4.0ms

Iterations
IterNodes
done31
131
026

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.6s11962×body80valid
301.0ms4225×body80nan