Details

Time bar (total: 11.3s)

sample37.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify28.0ms

Calls
1 calls:
Slowest
28.0ms
(cbrt (/ g (* 2 a)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize17.0ms

Local error

Found 2 expressions with local error:

13.5b
(cbrt (/ g (* 2 a)))
0.1b
(/ g (* 2 a))

rewrite3.0ms

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

series122.0ms

Calls
2 calls:
Slowest
108.0ms
(cbrt (/ g (* 2 a)))
15.0ms
(/ g (* 2 a))

simplify779.0ms

Calls
11 calls:
Slowest
301.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
254.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
126.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
22.0ms
(* 1/2 (/ g a))
21.0ms
(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))

prune352.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt g)
0.5b
(cbrt (/ 1 (* 2 a)))
0.4b
(* (cbrt g) (cbrt (/ 1 (* 2 a))))
0.2b
(/ 1 (* 2 a))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×cbrt-prod add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×pow1 associate-*r* add-exp-log
4×expm1-log1p-u add-cbrt-cube pow1/3 insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l* div-inv
2×cbrt-div pow-prod-down
1×rec-exp clear-num associate-/r* frac-2neg prod-exp associate-*r/ *-commutative cbrt-unprod pow-flip inv-pow
Calls
4 calls:
Slowest
9.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))
1.0ms
(cbrt (/ 1 (* 2 a)))
1.0ms
(/ 1 (* 2 a))
0.0ms
(cbrt g)

series670.0ms

Calls
4 calls:
Slowest
286.0ms
(cbrt (/ 1 (* 2 a)))
272.0ms
(cbrt g)
103.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))
8.0ms
(/ 1 (* 2 a))

simplify1.3s

Calls
32 calls:
Slowest
300.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
286.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
102.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
91.0ms
(* g (/ 1 (* 2 a)))
79.0ms
(* g (/ 1 (* 2 a)))

prune712.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×cbrt-prod associate-*r*
7×pow1/3 pow-prod-down
6×associate-*l*
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-div associate-*r/
2×*-commutative div-inv
Calls
4 calls:
Slowest
11.0ms
(* (cbrt g) (* (cbrt -1/2) (cbrt (/ -1 a))))
5.0ms
(* (cbrt -1/2) (cbrt (/ -1 a)))
1.0ms
(cbrt (/ -1 a))
0.0ms
(cbrt g)

series1.1s

Calls
4 calls:
Slowest
344.0ms
(* (cbrt -1/2) (cbrt (/ -1 a)))
286.0ms
(cbrt (/ -1 a))
261.0ms
(cbrt g)
187.0ms
(* (cbrt g) (* (cbrt -1/2) (cbrt (/ -1 a))))

simplify1.8s

Calls
42 calls:
Slowest
397.0ms
(* (cbrt -1) (* (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt -1/2)))
331.0ms
(* g (* (* (* (cbrt -1/2) (cbrt (/ -1 a))) (* (cbrt -1/2) (cbrt (/ -1 a)))) (* (cbrt -1/2) (cbrt (/ -1 a)))))
280.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
157.0ms
(* (cbrt -1) (* (exp (* 1/3 (- (log g) (log a)))) (cbrt -1/2)))
74.0ms
(* g (* -1/2 (/ -1 a)))

prune817.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite10.0ms

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
8.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
1.0ms
(cbrt (/ 1/2 a))
0.0ms
(cbrt g)

series645.0ms

Calls
3 calls:
Slowest
296.0ms
(cbrt (/ 1/2 a))
243.0ms
(cbrt g)
105.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))

simplify982.0ms

Calls
28 calls:
Slowest
338.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
272.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
121.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
25.0ms
(* g (/ 1/2 a))
24.0ms
(* (cbrt 1/2) (pow (/ 1 a) 1/3))

prune512.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

regimes619.0ms

Accuracy

0% (0.8b remaining)

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

bsearch1.0ms

end0.0ms

sample719.0ms

Algorithm
intervals
Results
549.0ms8000×body80valid