Details

Time bar (total: 15.6s)

sample31.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
16.0ms
(cbrt (/ g (* 2 a)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize8.0ms

Local error

Found 1 expressions with local error:

14.2b
(cbrt (/ g (* 2 a)))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
1×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 div-inv add-log-exp
Counts
1 → 17
Calls
1 calls:
Slowest
3.0ms
(cbrt (/ g (* 2 a)))

series117.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
117.0ms
(cbrt (/ g (* 2 a)))

simplify1.3s

Counts
11 → 20
Calls
11 calls:
Slowest
610.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
330.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
297.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
28.0ms
(cbrt (sqrt (/ g (* 2 a))))
27.0ms
(cbrt (/ (* (cbrt g) (cbrt g)) 2))

prune157.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.2b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt
10×associate-*r*
6×times-frac associate-*l*
5×pow1 add-exp-log
4×pow1/3 unswap-sqr
3×add-cbrt-cube insert-posit16 add-log-exp
2×cbrt-div pow-prod-down div-inv
1×prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 63
Calls
3 calls:
Slowest
12.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))
9.0ms
(cbrt (/ 1 (* 2 a)))
1.0ms
(cbrt g)

series727.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
319.0ms
(cbrt g)
281.0ms
(cbrt (/ 1 (* 2 a)))
126.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify2.1s

Counts
48 → 72
Calls
48 calls:
Slowest
303.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
195.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
175.0ms
(* (pow (/ -1 a) 1/3) (cbrt -1/2))
162.0ms
(* (cbrt 1/2) (pow (/ 1 a) 1/3))
156.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))

prune850.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.6b
(cbrt (* 2 a))
0.6b
(cbrt g)
0.4b
(/ (cbrt g) (cbrt (* 2 a)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-/l*
5×add-exp-log
4×associate-/r*
3×pow1 add-cbrt-cube insert-posit16 add-log-exp
2×pow1/3
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 69
Calls
3 calls:
Slowest
10.0ms
(/ (cbrt g) (cbrt (* 2 a)))
3.0ms
(cbrt (* 2 a))
1.0ms
(cbrt g)

series706.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
271.0ms
(cbrt g)
261.0ms
(cbrt (* 2 a))
173.0ms
(/ (cbrt g) (cbrt (* 2 a)))

simplify1.7s

Counts
72 → 78
Calls
72 calls:
Slowest
270.0ms
(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
189.0ms
(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
183.0ms
(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
135.0ms
(* (pow (* a -1) 1/3) (cbrt -2))
114.0ms
(* (cbrt -1) (pow (* g -1) 1/3))

prune690.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 a))
0.6b
(cbrt g)
0.4b
(* (cbrt g) (cbrt (/ 1 2)))
0.4b
(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
48×add-sqr-sqrt
32×*-un-lft-identity associate-*r*
31×times-frac
30×add-cube-cbrt
11×pow1 add-exp-log
8×unswap-sqr
7×pow1/3 associate-*l* pow-prod-down
6×cbrt-div
5×add-cbrt-cube
4×prod-exp associate-*r/ cbrt-unprod insert-posit16 add-log-exp
3×div-inv
2×*-commutative
1×frac-times associate-*l/
Counts
4 → 115
Calls
4 calls:
Slowest
46.0ms
(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))
11.0ms
(* (cbrt g) (cbrt (/ 1 2)))
2.0ms
(cbrt (/ 1 a))
1.0ms
(cbrt g)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
336.0ms
(* (cbrt g) (cbrt (/ 1 2)))
293.0ms
(cbrt (/ 1 a))
275.0ms
(cbrt g)
184.0ms
(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))

simplify3.4s

Counts
99 → 127
Calls
99 calls:
Slowest
361.0ms
(* (* (* (* (cbrt g) (cbrt (/ 1 2))) (* (cbrt g) (cbrt (/ 1 2)))) (* (cbrt g) (cbrt (/ 1 2)))) (/ 1 a))
354.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
276.0ms
(* (* (cbrt 1/2) (cbrt -1)) (pow (* g -1) 1/3))
234.0ms
(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))
225.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))

prune1.2s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

regimes599.0ms

Accuracy

0% (0.8b remaining)

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

bsearch2.0ms

end0.0ms

sample752.0ms

Algorithm
intervals
Results
600.0ms8000×body80valid