Details

Time bar (total: 10.8s)

sample32.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify26.0ms

Calls
1 calls:
Slowest
26.0ms
(cbrt (/ g (* 2 a)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize17.0ms

Local error

Found 1 expressions with local error:

16.0b
(cbrt (/ g (* 2 a)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
4×cbrt-prod
2×add-sqr-sqrt *-un-lft-identity 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
2.0ms
(cbrt (/ g (* 2 a)))

series155.0ms

Calls
1 calls:
Slowest
155.0ms
(cbrt (/ g (* 2 a)))

simplify743.0ms

Calls
8 calls:
Slowest
288.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
265.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
139.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
32.0ms
(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
15.0ms
(cbrt (sqrt (/ g (* 2 a))))

prune187.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite7.0ms

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×expm1-log1p-u add-cbrt-cube associate-*l* 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
5.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))
1.0ms
(cbrt (/ 1 (* 2 a)))
0.0ms
(cbrt g)

series703.0ms

Calls
3 calls:
Slowest
295.0ms
(cbrt (/ 1 (* 2 a)))
265.0ms
(cbrt g)
143.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify1.6s

Calls
28 calls:
Slowest
661.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
249.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
111.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
63.0ms
(* g (/ 1 (* 2 a)))
51.0ms
(* g (/ 1 (* 2 a)))

prune591.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* 2 a))
0.6b
(cbrt g)
0.4b
(* (cbrt g) (/ 1 (cbrt (* 2 a))))
0.3b
(/ 1 (cbrt (* 2 a)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log
7×add-sqr-sqrt pow1 *-un-lft-identity add-cube-cbrt
5×add-cbrt-cube
4×expm1-log1p-u associate-/r* associate-*r* insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-*l*
2×cbrt-prod rec-exp prod-exp div-inv pow-flip
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative cbrt-unprod inv-pow
Calls
4 calls:
Slowest
5.0ms
(* (cbrt g) (/ 1 (cbrt (* 2 a))))
1.0ms
(/ 1 (cbrt (* 2 a)))
1.0ms
(cbrt (* 2 a))
0.0ms
(cbrt g)

series1.1s

Calls
4 calls:
Slowest
401.0ms
(/ 1 (cbrt (* 2 a)))
323.0ms
(cbrt (* 2 a))
235.0ms
(cbrt g)
188.0ms
(* (cbrt g) (/ 1 (cbrt (* 2 a))))

simplify1.2s

Calls
31 calls:
Slowest
262.0ms
(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
247.0ms
(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
135.0ms
(* g (* (* (/ 1 (cbrt (* 2 a))) (/ 1 (cbrt (* 2 a)))) (/ 1 (cbrt (* 2 a)))))
101.0ms
(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
75.0ms
(+ (log (cbrt g)) (log (/ 1 (cbrt (* 2 a)))))

prune694.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 3 expressions with local error:

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

rewrite5.0ms

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×expm1-log1p-u pow1 add-cbrt-cube insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×pow1/3
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Calls
3 calls:
Slowest
4.0ms
(/ (cbrt g) (cbrt (* 2 a)))
1.0ms
(cbrt (* 2 a))
0.0ms
(cbrt g)

series754.0ms

Calls
3 calls:
Slowest
286.0ms
(cbrt (* 2 a))
271.0ms
(cbrt g)
197.0ms
(/ (cbrt g) (cbrt (* 2 a)))

simplify1.1s

Calls
42 calls:
Slowest
292.0ms
(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
227.0ms
(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
139.0ms
(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
61.0ms
(/ (* (cbrt (cbrt g)) (cbrt (cbrt g))) (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))))
38.0ms
(/ (* (cbrt (cbrt g)) (cbrt (cbrt g))) (sqrt (cbrt (* 2 a))))

prune550.0ms

Pruning

17 alts after pruning (14 fresh and 3 done)

Merged error: 0.0b

regimes562.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.1b and baseline of 0.9b

bsearch3.0ms

end0.0ms

sample781.0ms

Algorithm
intervals
Results
650.0ms8000×body80valid