Details

Time bar (total: 17.9s)

sample18.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify19.0ms

Calls
1 calls:
Slowest
19.0ms
(cbrt (/ g (* 2 a)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize19.0ms

Local error

Found 1 expressions with local error:

16.4b
(cbrt (/ g (* 2 a)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
3×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
1×expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u div-inv add-log-exp
Calls
1 calls:
Slowest
7.0ms
(cbrt (/ g (* 2 a)))

series144.0ms

Calls
1 calls:
Slowest
144.0ms
(cbrt (/ g (* 2 a)))

simplify1.0s

Calls
11 calls:
Slowest
341.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
337.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
219.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
36.0ms
(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
29.0ms
(cbrt (sqrt (/ g (* 2 a))))

prune250.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize27.0ms

Local error

Found 3 expressions with local error:

0.6b
(cbrt g)
0.5b
(cbrt (/ 1 (* 2 a)))
0.4b
(* (cbrt g) (cbrt (/ 1 (* 2 a))))

rewrite33.0ms

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×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-div pow-prod-down div-inv
1×prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
3 calls:
Slowest
21.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))
9.0ms
(cbrt (/ 1 (* 2 a)))
1.0ms
(cbrt g)

series655.0ms

Calls
3 calls:
Slowest
294.0ms
(cbrt (/ 1 (* 2 a)))
199.0ms
(cbrt g)
162.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify2.1s

Calls
48 calls:
Slowest
371.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
213.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
163.0ms
(* (cbrt 1/2) (pow (/ 1 a) 1/3))
132.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
121.0ms
(* (cbrt 1/2) (pow (/ 1 a) 1/3))

prune772.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt g)
0.6b
(cbrt (* 2 a))
0.4b
(* (cbrt g) (/ 1 (cbrt (* 2 a))))
0.2b
(/ 1 (cbrt (* 2 a)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
26×*-un-lft-identity
24×add-cube-cbrt
17×cbrt-prod add-exp-log
16×associate-*r*
7×pow1 add-cbrt-cube
6×associate-*l* unswap-sqr
4×expm1-log1p-u associate-/r* div-exp prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-/l*
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv pow-flip
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative inv-pow
Calls
4 calls:
Slowest
20.0ms
(* (cbrt g) (/ 1 (cbrt (* 2 a))))
8.0ms
(/ 1 (cbrt (* 2 a)))
3.0ms
(cbrt (* 2 a))
1.0ms
(cbrt g)

series1.0s

Calls
4 calls:
Slowest
336.0ms
(/ 1 (cbrt (* 2 a)))
295.0ms
(cbrt (* 2 a))
233.0ms
(cbrt g)
138.0ms
(* (cbrt g) (/ 1 (cbrt (* 2 a))))

simplify3.5s

Calls
93 calls:
Slowest
309.0ms
(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
231.0ms
(* (pow (/ 1 a) 1/3) (/ 1 (cbrt 2)))
226.0ms
(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
225.0ms
(* g (* (* (/ 1 (cbrt (* 2 a))) (/ 1 (cbrt (* 2 a)))) (/ 1 (cbrt (* 2 a)))))
211.0ms
(* (pow (/ -1 a) 1/3) (/ 1 (cbrt -2)))

prune1.3s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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×expm1-log1p-u prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×div-inv
2×*-commutative
1×frac-times associate-*l/
Calls
4 calls:
Slowest
41.0ms
(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))
9.0ms
(* (cbrt g) (cbrt (/ 1 2)))
1.0ms
(cbrt (/ 1 a))
1.0ms
(cbrt g)

series1.0s

Calls
4 calls:
Slowest
344.0ms
(* (cbrt g) (cbrt (/ 1 2)))
301.0ms
(cbrt g)
261.0ms
(cbrt (/ 1 a))
128.0ms
(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))

simplify3.2s

Calls
99 calls:
Slowest
344.0ms
(* (* (* (* (cbrt g) (cbrt (/ 1 2))) (* (cbrt g) (cbrt (/ 1 2)))) (* (cbrt g) (cbrt (/ 1 2)))) (/ 1 a))
244.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
238.0ms
(* (* (cbrt 1/2) (cbrt -1)) (pow (* g -1) 1/3))
230.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
193.0ms
(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))

prune1.3s

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes580.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch1.0ms

end0.0ms

sample872.0ms

Algorithm
intervals
Results
706.0ms8000×body80valid