Details

Time bar (total: 6.8m)

sample95.0ms

Algorithm
intervals
Results
54.0ms385×body80valid
20.0ms151×body80nan

simplify99.0ms

Calls
1 calls:
Slowest
99.0ms
(/ (* a (pow k m)) (+ (+ 1 (* 10 k)) (* k k)))

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize31.0ms

Local error

Found 3 expressions with local error:

3.1b
(/ (* (pow k m) a) (+ 1 (* k (+ k 10))))
0.0b
(* k (+ k 10))
0.0b
(* (pow k m) a)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×add-cbrt-cube add-exp-log
3×pow1 associate-/r* times-frac associate-*r* associate-*l* insert-posit16 add-log-exp
2×flip3-+ associate-*r/ associate-/r/ *-commutative flip-+
1×distribute-rgt-in cbrt-undiv clear-num frac-2neg distribute-lft-in div-exp div-inv associate-/l*
Calls
3 calls:
Slowest
11.0ms
(/ (* (pow k m) a) (+ 1 (* k (+ k 10))))
3.0ms
(* (pow k m) a)
1.0ms
(* k (+ k 10))

series317.0ms

Calls
3 calls:
Slowest
130.0ms
(/ (* (pow k m) a) (+ 1 (* k (+ k 10))))
109.0ms
(* (pow k m) a)
78.0ms
(* k (+ k 10))

simplify2.2s

Calls
32 calls:
Slowest
322.0ms
(/ (* (* (* (pow k m) a) (* (pow k m) a)) (* (pow k m) a)) (* (* (+ 1 (* k (+ k 10))) (+ 1 (* k (+ k 10)))) (+ 1 (* k (+ k 10)))))
197.0ms
(- (+ (* 99 (/ (* a (exp (* m (- (log -1) (log (/ -1 k)))))) (pow k 4))) (/ (* a (exp (* m (- (log -1) (log (/ -1 k)))))) (pow k 2))) (* 10 (/ (* a (exp (* m (- (log -1) (log (/ -1 k)))))) (pow k 3))))
188.0ms
(* a (exp (* m (- (log -1) (log (/ -1 k))))))
180.0ms
(- (+ a (* (log k) (* m a))) (* 10 (* a k)))
161.0ms
(* (exp (* -1 (* (log (/ 1 k)) m))) a)

prune562.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

6.7b
(+ (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (/ (* 99 a) (/ (pow k 4) (exp (* (log k) m)))))
5.9b
(- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))
5.2b
(/ (pow k 4) (exp (* (log k) m)))
3.8b
(/ (exp (* (log k) m)) (* (/ k a) k))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-sqr-sqrt add-cube-cbrt
12×times-frac
11×add-log-exp
8×add-cbrt-cube
6×frac-add add-exp-log frac-sub associate-/l*
5×associate-*l/
4×pow1 associate-/r* insert-posit16
3×div-exp
2×frac-times cbrt-undiv associate-+l+ clear-num sum-log sub-neg frac-2neg flip3-- diff-log associate-*r/ div-inv flip-- sub-div
1×pow-to-exp +-commutative flip3-+ exp-to-pow associate-/r/ associate-+l- flip-+ distribute-lft-out pow-div
Calls
4 calls:
Slowest
118.0ms
(+ (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (/ (* 99 a) (/ (pow k 4) (exp (* (log k) m)))))
34.0ms
(- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))
17.0ms
(/ (exp (* (log k) m)) (* (/ k a) k))
11.0ms
(/ (pow k 4) (exp (* (log k) m)))

series660.0ms

Calls
4 calls:
Slowest
232.0ms
(- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))
199.0ms
(+ (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (/ (* 99 a) (/ (pow k 4) (exp (* (log k) m)))))
130.0ms
(/ (exp (* (log k) m)) (* (/ k a) k))
99.0ms
(/ (pow k 4) (exp (* (log k) m)))

simplify10.8s

Calls
76 calls:
Slowest
920.0ms
(+ (* (- (pow (/ (exp (* (log k) m)) (* (/ k a) k)) 3) (pow (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)) 3)) (/ (pow k 4) (exp (* (log k) m)))) (* (+ (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ (exp (* (log k) m)) (* (/ k a) k))) (+ (* (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))))) (* 99 a)))
427.0ms
(* (+ (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ (exp (* (log k) m)) (* (/ k a) k))) (+ (* (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))))) (/ (pow k 4) (exp (* (log k) m))))
426.0ms
(- (/ (* a (exp (* m (- (log -1) (log (/ -1 k)))))) (pow k 2)) (* 10 (/ (* a (exp (* m (- (log -1) (log (/ -1 k)))))) (pow k 3))))
409.0ms
(* (+ (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (/ (pow k 4) (exp (* (log k) m))))
387.0ms
(+ (* (- (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ (exp (* (log k) m)) (* (/ k a) k))) (* (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))) (/ (pow k 4) (exp (* (log k) m)))) (* (+ (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (* 99 a)))

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

6.7b
(+ (* (/ (/ a k) k) (- (exp (* m (log k))) (* 10 (/ (exp (* m (log k))) k)))) (/ (* 99 a) (/ (pow k 4) (exp (* (log k) m)))))
5.2b
(/ (pow k 4) (exp (* (log k) m)))
4.3b
(* (/ (/ a k) k) (- (exp (* m (log k))) (* 10 (/ (exp (* m (log k))) k))))
2.4b
(/ (* 99 a) (/ (pow k 4) (exp (* (log k) m))))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
28×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
16×associate-/r*
13×add-cbrt-cube
12×add-exp-log
7×div-exp
6×pow1 add-log-exp
5×frac-add div-inv
4×distribute-rgt-in frac-times cbrt-undiv associate-+l+ sub-neg distribute-lft-in flip3-- associate-*l* associate-*r/ insert-posit16 flip-- associate-/l*
3×associate-*r*
2×pow-to-exp clear-num frac-2neg associate-*l/
1×+-commutative sum-log flip3-+ exp-to-pow pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod flip-+ pow-div
Calls
4 calls:
Slowest
27.0ms
(* (/ (/ a k) k) (- (exp (* m (log k))) (* 10 (/ (exp (* m (log k))) k))))
25.0ms
(+ (* (/ (/ a k) k) (- (exp (* m (log k))) (* 10 (/ (exp (* m (log k))) k)))) (/ (* 99 a) (/ (pow k 4) (exp (* (log k) m)))))
13.0ms
(/ (* 99 a) (/ (pow k 4) (exp (* (log k) m))))
10.0ms
(/ (pow k 4) (exp (* (log k) m)))

series655.0ms

Calls
4 calls:
Slowest
254.0ms
(+ (* (/ (/ a k) k) (- (exp (* m (log k))) (* 10 (/ (exp (* m (log k))) k)))) (/ (* 99 a) (/ (pow k 4) (exp (* (log k) m)))))
164.0ms
(* (/ (/ a k) k) (- (exp (* m (log k))) (* 10 (/ (exp (* m (log k))) k))))
137.0ms
(/ (* 99 a) (/ (pow k 4) (exp (* (log k) m))))
99.0ms
(/ (pow k 4) (exp (* (log k) m)))

simplify14.0s

Calls
119 calls:
Slowest
994.0ms
(* (/ a k) (- (pow (exp (* m (log k))) 3) (pow (* 10 (/ (exp (* m (log k))) k)) 3)))
515.0ms
(* (/ a k) (- (* (exp (* m (log k))) (exp (* m (log k)))) (* (* 10 (/ (exp (* m (log k))) k)) (* 10 (/ (exp (* m (log k))) k)))))
442.0ms
(- (/ (* a (exp (* m (- (log -1) (log (/ -1 k)))))) (pow k 2)) (* 10 (/ (* a (exp (* m (- (log -1) (log (/ -1 k)))))) (pow k 3))))
399.0ms
(+ (* (* (/ a k) (- (pow (exp (* m (log k))) 3) (pow (* 10 (/ (exp (* m (log k))) k)) 3))) (/ (pow k 4) (exp (* (log k) m)))) (* (* k (+ (* (exp (* m (log k))) (exp (* m (log k)))) (+ (* (* 10 (/ (exp (* m (log k))) k)) (* 10 (/ (exp (* m (log k))) k))) (* (exp (* m (log k))) (* 10 (/ (exp (* m (log k))) k)))))) (* 99 a)))
381.0ms
(- (/ (* (exp (* -1 (* (log (/ 1 k)) m))) a) (pow k 2)) (* 10 (/ (* (exp (* -1 (* (log (/ 1 k)) m))) a) (pow k 3))))

prune2.3s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

9.7b
(cbrt (* (* (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))) (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))))
6.7b
(+ (cbrt (* (* (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))) (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))))) (/ (* 99 a) (/ (pow k 4) (exp (* (log k) m)))))
5.9b
(- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))
5.9b
(- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))

rewrite338.0ms

Algorithm
rewrite-expression-head
Rules
1376×frac-times
888×frac-sub
772×associate-*l/
684×cbrt-div
392×associate-*r/
342×frac-add
296×flip3-- flip-- sub-div
10×add-log-exp
6×*-un-lft-identity
4×add-sqr-sqrt pow1 add-cbrt-cube add-exp-log add-cube-cbrt insert-posit16
2×sub-neg diff-log
1×cbrt-prod +-commutative sum-log flip3-+ pow1/3 pow3 rem-cbrt-cube flip-+ distribute-lft-out
Calls
4 calls:
Slowest
134.0ms
(cbrt (* (* (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))) (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))))
74.0ms
(+ (cbrt (* (* (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))) (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))))) (/ (* 99 a) (/ (pow k 4) (exp (* (log k) m)))))
36.0ms
(- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))
34.0ms
(- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))

series966.0ms

Calls
4 calls:
Slowest
299.0ms
(cbrt (* (* (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))) (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))))
255.0ms
(+ (cbrt (* (* (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))) (- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))))) (/ (* 99 a) (/ (pow k 4) (exp (* (log k) m)))))
221.0ms
(- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))
192.0ms
(- (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))

simplify6.0m

Calls
1060 calls:
Slowest
1.6s
(* (cbrt (* (* (+ (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ (exp (* (log k) m)) (* (/ k a) k))) (+ (* (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))))) (+ (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))) (+ (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ (exp (* (log k) m)) (* (/ k a) k))) (+ (* (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))))))) (/ (pow k 4) (exp (* (log k) m))))
1.4s
(* (cbrt (* (* (* (* (/ k a) k) k) (+ (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ (exp (* (log k) m)) (* (/ k a) k))) (+ (* (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))))) (+ (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))))) (/ (pow k 4) (exp (* (log k) m))))
1.2s
(* (cbrt (* (* (+ (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ (exp (* (log k) m)) (* (/ k a) k))) (+ (* (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))))) (+ (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ (exp (* (log k) m)) (* (/ k a) k))) (+ (* (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))))) (+ (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))))) (/ (pow k 4) (exp (* (log k) m))))
1.1s
(* (cbrt (* (* (* (* (/ k a) k) (* (* (/ k a) k) k)) (+ (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ (exp (* (log k) m)) (* (/ k a) k))) (+ (* (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))))) (* (* (/ k a) k) k))) (/ (pow k 4) (exp (* (log k) m))))
1.1s
(* (cbrt (* (* (* (/ k a) k) (+ (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ (exp (* (log k) m)) (* (/ k a) k))) (+ (* (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)))))) (+ (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ (exp (* (log k) m)) (* (/ k a) k))) (+ (* (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (* (/ (exp (* (log k) m)) (* (/ k a) k)) (/ 10 k))))))) (/ (pow k 4) (exp (* (log k) m))))

prune10.0s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.0b

regimes110.0ms

Accuracy

97.2% (0.1b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 2.2b

bsearch66.0ms

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.3s11974×body80valid
364.0ms4335×body80nan