Details

Time bar (total: 10.4s)

sample32.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify13.0ms

Calls
1 calls:
Slowest
13.0ms
(cbrt (/ g (* 2 a)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.4b

localize8.0ms

Local error

Found 1 expressions with local error:

19.4b
(cbrt (/ g (* 2 a)))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
4×cbrt-prod
2×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
1×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 div-inv add-log-exp
Calls
1 calls:
Slowest
1.0ms
(cbrt (/ g (* 2 a)))

series135.0ms

Calls
1 calls:
Slowest
135.0ms
(cbrt (/ g (* 2 a)))

simplify565.0ms

Calls
8 calls:
Slowest
219.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
209.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
91.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
20.0ms
(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
18.0ms
(cbrt (sqrt (/ g (* 2 a))))

prune109.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.6b
(cbrt (/ 1 (* 2 a)))
0.5b
(cbrt g)
0.3b
(* (cbrt g) (cbrt (/ 1 (* 2 a))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod
7×add-sqr-sqrt *-un-lft-identity associate-*r* add-cube-cbrt
5×pow1 add-exp-log
4×pow1/3
3×add-cbrt-cube associate-*l* insert-posit16 add-log-exp
2×cbrt-div pow-prod-down div-inv
1×prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
3 calls:
Slowest
10.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))
2.0ms
(cbrt (/ 1 (* 2 a)))
0.0ms
(cbrt g)

series745.0ms

Calls
3 calls:
Slowest
327.0ms
(cbrt g)
287.0ms
(cbrt (/ 1 (* 2 a)))
131.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify1.1s

Calls
28 calls:
Slowest
254.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
234.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
139.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
77.0ms
(* g (/ 1 (* 2 a)))
59.0ms
(* g (/ 1 (* 2 a)))

prune533.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ 1 a))
0.5b
(cbrt g)
0.5b
(* (cbrt (/ 1 a)) (cbrt 1/2))
0.3b
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 1/2)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log
10×associate-*l*
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×cbrt-prod
7×pow1/3 pow-prod-down
5×add-cbrt-cube
4×associate-*r* prod-exp cbrt-unprod insert-posit16 add-log-exp
3×cbrt-div
2×associate-*l/ *-commutative div-inv
1×associate-*r/
Calls
4 calls:
Slowest
22.0ms
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 1/2)))
9.0ms
(* (cbrt (/ 1 a)) (cbrt 1/2))
1.0ms
(cbrt (/ 1 a))
0.0ms
(cbrt g)

series1.0s

Calls
4 calls:
Slowest
311.0ms
(* (cbrt (/ 1 a)) (cbrt 1/2))
287.0ms
(cbrt g)
261.0ms
(cbrt (/ 1 a))
179.0ms
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 1/2)))

simplify1.7s

Calls
42 calls:
Slowest
401.0ms
(* g (* (* (* (cbrt (/ 1 a)) (cbrt 1/2)) (* (cbrt (/ 1 a)) (cbrt 1/2))) (* (cbrt (/ 1 a)) (cbrt 1/2))))
266.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
252.0ms
(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))
104.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
73.0ms
(* g (* (/ 1 a) 1/2))

prune733.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.6b
(cbrt (* 2 a))
0.5b
(cbrt g)
0.3b
(/ (cbrt g) (cbrt (* 2 a)))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
5×cbrt-prod add-exp-log
4×associate-/r*
3×pow1 add-cbrt-cube insert-posit16 associate-/l* add-log-exp
2×pow1/3
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Calls
3 calls:
Slowest
7.0ms
(/ (cbrt g) (cbrt (* 2 a)))
1.0ms
(cbrt (* 2 a))
0.0ms
(cbrt g)

series760.0ms

Calls
3 calls:
Slowest
289.0ms
(cbrt (* 2 a))
261.0ms
(cbrt g)
211.0ms
(/ (cbrt g) (cbrt (* 2 a)))

simplify1.2s

Calls
42 calls:
Slowest
323.0ms
(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
253.0ms
(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
117.0ms
(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
54.0ms
(/ (* (cbrt (cbrt g)) (cbrt (cbrt g))) (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))))
36.0ms
(/ (* (cbrt (cbrt g)) (cbrt (cbrt g))) (cbrt 2))

prune503.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

regimes325.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch2.0ms

end0.0ms

sample696.0ms

Algorithm
intervals
Results
575.0ms8000×body80valid