Details

Time bar (total: 11.7s)

sample34.0ms

Algorithm
intervals
Results
22.0ms256×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: 17.9b

localize17.0ms

Local error

Found 1 expressions with local error:

17.9b
(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×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 div-inv add-log-exp
Calls
1 calls:
Slowest
1.0ms
(cbrt (/ g (* 2 a)))

series108.0ms

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

simplify669.0ms

Calls
8 calls:
Slowest
255.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
249.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
122.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
24.0ms
(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
14.0ms
(cbrt (sqrt (/ g (* 2 a))))

prune172.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.6b
(cbrt g)
0.6b
(cbrt (/ 1 (* 2 a)))
0.3b
(* (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×add-cbrt-cube associate-*l* insert-posit16 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)

series624.0ms

Calls
3 calls:
Slowest
288.0ms
(cbrt (/ 1 (* 2 a)))
232.0ms
(cbrt g)
104.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify1.1s

Calls
28 calls:
Slowest
294.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
228.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
88.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
70.0ms
(* g (/ 1 (* 2 a)))
61.0ms
(* g (/ 1 (* 2 a)))

prune531.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.1b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log
10×associate-*l*
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×cbrt-prod
7×pow1/3 pow-prod-down
5×add-cbrt-cube
4×associate-*r* prod-exp cbrt-unprod insert-posit16 add-log-exp
3×cbrt-div
2×associate-*l/ *-commutative div-inv
1×associate-*r/
Calls
4 calls:
Slowest
24.0ms
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 1/2)))
10.0ms
(* (cbrt (/ 1 a)) (cbrt 1/2))
1.0ms
(cbrt (/ 1 a))
0.0ms
(cbrt g)

series1.0s

Calls
4 calls:
Slowest
318.0ms
(* (cbrt (/ 1 a)) (cbrt 1/2))
294.0ms
(cbrt (/ 1 a))
254.0ms
(cbrt g)
172.0ms
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 1/2)))

simplify1.4s

Calls
42 calls:
Slowest
299.0ms
(* g (* (* (* (cbrt (/ 1 a)) (cbrt 1/2)) (* (cbrt (/ 1 a)) (cbrt 1/2))) (* (cbrt (/ 1 a)) (cbrt 1/2))))
289.0ms
(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))
247.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
113.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
57.0ms
(* g (* (/ 1 a) 1/2))

prune829.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log
10×associate-*r*
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
8×cbrt-prod
7×pow1/3 pow-prod-down
5×add-cbrt-cube
4×associate-*l* prod-exp cbrt-unprod insert-posit16 add-log-exp
3×cbrt-div
2×associate-*r/ *-commutative div-inv
1×associate-*l/
Calls
4 calls:
Slowest
12.0ms
(* (* (cbrt g) (cbrt (/ 1 a))) (cbrt 1/2))
5.0ms
(* (cbrt g) (cbrt (/ 1 a)))
1.0ms
(cbrt (/ 1 a))
0.0ms
(cbrt g)

series782.0ms

Calls
4 calls:
Slowest
279.0ms
(cbrt g)
237.0ms
(cbrt (/ 1 a))
159.0ms
(* (* (cbrt g) (cbrt (/ 1 a))) (cbrt 1/2))
107.0ms
(* (cbrt g) (cbrt (/ 1 a)))

simplify2.2s

Calls
43 calls:
Slowest
367.0ms
(* (* (* (* (cbrt g) (cbrt (/ 1 a))) (* (cbrt g) (cbrt (/ 1 a)))) (* (cbrt g) (cbrt (/ 1 a)))) 1/2)
334.0ms
(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))
250.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
249.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2))
220.0ms
(exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g)))))

prune655.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 0.0b

regimes578.0ms

Accuracy

0% (0.8b remaining)

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

bsearch4.0ms

end0.0ms

sample760.0ms

Algorithm
intervals
Results
612.0ms8000×body80valid