Details

Time bar (total: 24.7s)

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify20.0ms

Calls
1 calls:
Slowest
20.0ms
(cbrt (/ g (* 2 a)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.7b

localize15.0ms

Local error

Found 1 expressions with local error:

13.7b
(cbrt (/ g (* 2 a)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-prod
36×times-frac
35×add-sqr-sqrt
27×*-un-lft-identity add-cube-cbrt
18×cbrt-div
12×associate-/r* associate-*r* associate-*l*
4×*-commutative unswap-sqr
3×associate-/l*
1×expm1-log1p-u pow1 clear-num frac-2neg add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u div-inv add-log-exp
Calls
1 calls:
Slowest
6.0ms
(cbrt (/ g (* 2 a)))

series151.0ms

Calls
1 calls:
Slowest
151.0ms
(cbrt (/ g (* 2 a)))

simplify2.2s

Calls
61 calls:
Slowest
420.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
335.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
194.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
109.0ms
(cbrt (/ (* (cbrt g) (cbrt g)) (* 2 (* (cbrt a) (cbrt a)))))
81.0ms
(cbrt (/ (* (cbrt g) (cbrt g)) (* (sqrt 2) (sqrt a))))

prune623.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ g (sqrt 2)))
0.5b
(cbrt (* (sqrt 2) a))
0.4b
(* (sqrt 2) a)
0.4b
(/ g (sqrt 2))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
42×*-un-lft-identity add-cube-cbrt
38×cbrt-prod
36×times-frac
32×sqrt-prod
12×cbrt-div associate-/r* associate-*l*
8×add-cbrt-cube add-exp-log
6×pow1 associate-*r* associate-/l*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×clear-num frac-2neg pow1/3 *-commutative div-inv
1×cbrt-undiv div-exp pow-prod-down prod-exp cbrt-unprod
Calls
4 calls:
Slowest
15.0ms
(* (sqrt 2) a)
11.0ms
(cbrt (* (sqrt 2) a))
9.0ms
(/ g (sqrt 2))
5.0ms
(cbrt (/ g (sqrt 2)))

series1.0s

Calls
4 calls:
Slowest
531.0ms
(cbrt (/ g (sqrt 2)))
352.0ms
(cbrt (* (sqrt 2) a))
70.0ms
(/ g (sqrt 2))
53.0ms
(* (sqrt 2) a)

simplify3.4s

Calls
122 calls:
Slowest
460.0ms
(exp (* 1/3 (+ (log (/ 1 (sqrt 2))) (log g))))
337.0ms
(exp (* 1/3 (- (log (sqrt 2)) (log (/ 1 a)))))
306.0ms
(* (exp (* 1/3 (- (log (/ 1 (sqrt 2))) (log (/ -1 g))))) (cbrt -1))
246.0ms
(exp (* 1/3 (+ (log (sqrt 2)) (log a))))
235.0ms
(/ (* (* g g) g) (* (* (sqrt 2) (sqrt 2)) (sqrt 2)))

prune1.7s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
42×*-un-lft-identity add-cube-cbrt
38×cbrt-prod
36×times-frac
32×sqrt-prod
12×cbrt-div associate-*l* associate-/l*
8×add-cbrt-cube add-exp-log
6×pow1 associate-/r* associate-*r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×clear-num frac-2neg pow1/3 *-commutative div-inv
1×cbrt-undiv div-exp pow-prod-down prod-exp cbrt-unprod
Calls
4 calls:
Slowest
15.0ms
(* (sqrt 2) a)
12.0ms
(cbrt (* (sqrt 2) a))
10.0ms
(/ (sqrt 2) g)
5.0ms
(cbrt (/ (sqrt 2) g))

series941.0ms

Calls
4 calls:
Slowest
424.0ms
(cbrt (/ (sqrt 2) g))
385.0ms
(cbrt (* (sqrt 2) a))
74.0ms
(* (sqrt 2) a)
59.0ms
(/ (sqrt 2) g)

simplify3.1s

Calls
121 calls:
Slowest
396.0ms
(exp (* 1/3 (+ (log (/ 1 g)) (log (sqrt 2)))))
292.0ms
(exp (* 1/3 (- (log (sqrt 2)) (log (/ 1 a)))))
236.0ms
(exp (* 1/3 (- (log (sqrt 2)) (log g))))
217.0ms
(* (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* a a) a))
214.0ms
(* (exp (* 1/3 (+ (log (/ -1 g)) (log (sqrt 2))))) (cbrt -1))

prune1.6s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
168×times-frac
158×cbrt-prod
105×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
22×associate-/l*
18×cbrt-div
12×associate-/r*
9×div-inv associate-/l/
7×add-cbrt-cube
5×add-exp-log
4×cbrt-undiv
3×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3
1×div-exp
Calls
3 calls:
Slowest
7.0ms
(/ (cbrt (/ g 2)) (cbrt a))
2.0ms
(cbrt (/ g 2))
1.0ms
(cbrt a)

series817.0ms

Calls
3 calls:
Slowest
345.0ms
(cbrt (/ g 2))
305.0ms
(cbrt a)
167.0ms
(/ (cbrt (/ g 2)) (cbrt a))

simplify5.5s

Calls
261 calls:
Slowest
309.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
299.0ms
(/ (* (* (cbrt (/ g 2)) (cbrt (/ g 2))) (cbrt (/ g 2))) (* (* (cbrt a) (cbrt a)) (cbrt a)))
186.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
161.0ms
(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1/2)) (cbrt -1))
158.0ms
(* (cbrt -1/2) (pow (* g -1) 1/3))

prune2.0s

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 0b

regimes708.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch4.0ms

end0.0ms

sample706.0ms

Algorithm
intervals
Results
585.0ms8000×body80valid