Details

Time bar (total: 15.7s)

sample32.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify26.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize24.0ms

Local error

Found 1 expressions with local error:

14.0b
(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×pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 div-inv add-log-exp
Counts
1 → 17
Calls
1 calls:
Slowest
6.0ms
(cbrt (/ g (* 2 a)))

series149.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
149.0ms
(cbrt (/ g (* 2 a)))

simplify952.0ms

Counts
11 → 20
Calls
11 calls:
Slowest
398.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
279.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
175.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
31.0ms
(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
29.0ms
(cbrt (sqrt (/ g (* 2 a))))

prune176.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

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×add-cbrt-cube insert-posit16 add-log-exp
2×cbrt-div pow-prod-down div-inv
1×prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 63
Calls
3 calls:
Slowest
14.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))
8.0ms
(cbrt (/ 1 (* 2 a)))
1.0ms
(cbrt g)

series700.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
285.0ms
(cbrt (/ 1 (* 2 a)))
282.0ms
(cbrt g)
133.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify2.2s

Counts
48 → 72
Calls
48 calls:
Slowest
393.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
238.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
159.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
144.0ms
(* (cbrt -1) (pow (* g -1) 1/3))
133.0ms
(* (cbrt 1/2) (pow (/ 1 a) 1/3))

prune660.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

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×prod-exp associate-*r/ cbrt-unprod insert-posit16 add-log-exp
3×div-inv
2×*-commutative
1×frac-times associate-*l/
Counts
4 → 115
Calls
4 calls:
Slowest
35.0ms
(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))
13.0ms
(* (cbrt g) (cbrt (/ 1 2)))
2.0ms
(cbrt (/ 1 a))
1.0ms
(cbrt g)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
339.0ms
(* (cbrt g) (cbrt (/ 1 2)))
295.0ms
(cbrt (/ 1 a))
248.0ms
(cbrt g)
213.0ms
(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))

simplify3.7s

Counts
99 → 127
Calls
99 calls:
Slowest
476.0ms
(* (pow (/ -1 a) 1/3) (cbrt -1))
341.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
326.0ms
(* (* (* (* (cbrt g) (cbrt (/ 1 2))) (* (cbrt g) (cbrt (/ 1 2)))) (* (cbrt g) (cbrt (/ 1 2)))) (/ 1 a))
237.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
228.0ms
(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))

prune1.3s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
31×cbrt-prod
28×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×associate-*r*
5×pow1 add-exp-log
4×pow1/3 associate-*l* unswap-sqr
3×add-cbrt-cube insert-posit16 add-log-exp
2×cbrt-div pow-prod-down div-inv
1×prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 71
Calls
3 calls:
Slowest
11.0ms
(* (cbrt (* g 1/2)) (cbrt (/ 1 a)))
3.0ms
(cbrt (* g 1/2))
1.0ms
(cbrt (/ 1 a))

series640.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
261.0ms
(cbrt (/ 1 a))
239.0ms
(cbrt (* g 1/2))
140.0ms
(* (cbrt (* g 1/2)) (cbrt (/ 1 a)))

simplify1.7s

Counts
56 → 80
Calls
56 calls:
Slowest
330.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
198.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
183.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
167.0ms
(* (pow (/ -1 a) 1/3) (cbrt -1))
121.0ms
(* (cbrt -1/2) (pow (* g -1) 1/3))

prune718.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0b

regimes591.0ms

Accuracy

0% (0.8b remaining)

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

bsearch2.0ms

end0.0ms

sample783.0ms

Algorithm
intervals
Results
648.0ms8000×body80valid