Details

Time bar (total: 15.9s)

sample34.0ms

Algorithm
intervals
Results
22.0ms256×body80valid

simplify33.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
33.0ms
(cbrt (/ g (* 2 a)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize17.0ms

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×expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u div-inv add-log-exp
Counts
1 → 19
Calls
1 calls:
Slowest
7.0ms
(cbrt (/ g (* 2 a)))

series154.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
154.0ms
(cbrt (/ g (* 2 a)))

simplify1.0s

Counts
11 → 22
Calls
11 calls:
Slowest
382.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
335.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
212.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
30.0ms
(cbrt (sqrt (/ g (* 2 a))))
27.0ms
(cbrt (/ (* (cbrt g) (cbrt g)) 2))

prune218.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize28.0ms

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))))

rewrite18.0ms

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×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-div pow-prod-down div-inv
1×prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 69
Calls
3 calls:
Slowest
12.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))
5.0ms
(cbrt (/ 1 (* 2 a)))
1.0ms
(cbrt g)

series740.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
313.0ms
(cbrt (/ 1 (* 2 a)))
271.0ms
(cbrt g)
156.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify2.2s

Counts
48 → 78
Calls
48 calls:
Slowest
311.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
259.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
155.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
153.0ms
(* (cbrt 1/2) (pow (/ 1 a) 1/3))
149.0ms
(* (cbrt 1/2) (pow (/ 1 a) 1/3))

prune703.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.1b

localize29.0ms

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)))

rewrite41.0ms

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×expm1-log1p-u prod-exp associate-*r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×div-inv
2×*-commutative
1×frac-times associate-*l/
Counts
4 → 123
Calls
4 calls:
Slowest
25.0ms
(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))
10.0ms
(* (cbrt g) (cbrt (/ 1 2)))
3.0ms
(cbrt (/ 1 a))
1.0ms
(cbrt g)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
353.0ms
(* (cbrt g) (cbrt (/ 1 2)))
313.0ms
(cbrt g)
263.0ms
(cbrt (/ 1 a))
168.0ms
(* (* (cbrt g) (cbrt (/ 1 2))) (cbrt (/ 1 a)))

simplify3.5s

Counts
99 → 135
Calls
99 calls:
Slowest
355.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
349.0ms
(* (* (* (* (cbrt g) (cbrt (/ 1 2))) (* (cbrt g) (cbrt (/ 1 2)))) (* (cbrt g) (cbrt (/ 1 2)))) (/ 1 a))
266.0ms
(* (* (cbrt 1/2) (cbrt -1)) (pow (* g -1) 1/3))
250.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
199.0ms
(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))

prune1.4s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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)))

rewrite24.0ms

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×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-div pow-prod-down div-inv
1×prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 77
Calls
3 calls:
Slowest
18.0ms
(* (cbrt (* g 1/2)) (cbrt (/ 1 a)))
3.0ms
(cbrt (* g 1/2))
2.0ms
(cbrt (/ 1 a))

series750.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
353.0ms
(cbrt (* g 1/2))
246.0ms
(cbrt (/ 1 a))
152.0ms
(* (cbrt (* g 1/2)) (cbrt (/ 1 a)))

simplify1.8s

Counts
56 → 86
Calls
56 calls:
Slowest
373.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
241.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
158.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
120.0ms
(* (cbrt -1/2) (pow (* g -1) 1/3))
109.0ms
(* (pow (/ -1 a) 1/3) (cbrt -1))

prune820.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0b

regimes541.0ms

Accuracy

0% (0.8b remaining)

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

bsearch3.0ms

end0.0ms

sample720.0ms

Algorithm
intervals
Results
573.0ms8000×body80valid