Details

Time bar (total: 18.3s)

sample37.0ms

Algorithm
intervals
Results
24.0ms256×body80valid

simplify15.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
15.0ms
(cbrt (/ g (* 2 a)))

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize9.0ms

Local error

Found 1 expressions with local error:

18.2b
(cbrt (/ g (* 2 a)))

rewrite6.0ms

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
6.0ms
(cbrt (/ g (* 2 a)))

series120.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
120.0ms
(cbrt (/ g (* 2 a)))

simplify1.0s

Counts
11 → 22
Calls
11 calls:
Slowest
388.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
327.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
207.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
33.0ms
(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
26.0ms
(cbrt (sqrt (/ g (* 2 a))))

prune194.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.6b
(cbrt g)
0.5b
(cbrt (/ 1 (* 2 a)))
0.3b
(* (cbrt g) (cbrt (/ 1 (* 2 a))))

rewrite36.0ms

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
24.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))
9.0ms
(cbrt (/ 1 (* 2 a)))
2.0ms
(cbrt g)

series719.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
324.0ms
(cbrt g)
253.0ms
(cbrt (/ 1 (* 2 a)))
141.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify2.2s

Counts
48 → 78
Calls
48 calls:
Slowest
391.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
258.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
182.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
126.0ms
(* (cbrt 1/2) (pow (/ 1 a) 1/3))
119.0ms
(* (cbrt -1) (pow (* g -1) 1/3))

prune769.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.1b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt g)
0.6b
(cbrt (/ 1 a))
0.5b
(* (cbrt (/ 1 a)) (cbrt 1/2))
0.3b
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 1/2)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
42×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
22×times-frac associate-*l*
11×pow1 add-exp-log
8×unswap-sqr
7×pow1/3 associate-*r* pow-prod-down
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-div
2×associate-*l/ *-commutative div-inv
1×associate-*r/
Counts
4 → 111
Calls
4 calls:
Slowest
20.0ms
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 1/2)))
19.0ms
(* (cbrt (/ 1 a)) (cbrt 1/2))
8.0ms
(cbrt (/ 1 a))
1.0ms
(cbrt g)

series998.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
291.0ms
(* (cbrt (/ 1 a)) (cbrt 1/2))
258.0ms
(cbrt (/ 1 a))
239.0ms
(cbrt g)
210.0ms
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 1/2)))

simplify3.3s

Counts
85 → 123
Calls
85 calls:
Slowest
328.0ms
(* g (* (* (* (cbrt (/ 1 a)) (cbrt 1/2)) (* (cbrt (/ 1 a)) (cbrt 1/2))) (* (cbrt (/ 1 a)) (cbrt 1/2))))
300.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
271.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
270.0ms
(* (pow (/ -1 a) 1/3) (* (cbrt -1) (cbrt 1/2)))
250.0ms
(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))

prune1.4s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
26×*-un-lft-identity
24×add-cube-cbrt
17×cbrt-prod add-exp-log
16×associate-*r*
7×pow1 add-cbrt-cube
6×associate-*l* unswap-sqr
4×expm1-log1p-u associate-/r* div-exp prod-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3 associate-/l*
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv pow-flip
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative inv-pow
Counts
4 → 113
Calls
4 calls:
Slowest
17.0ms
(* (cbrt g) (/ 1 (cbrt (* 2 a))))
6.0ms
(/ 1 (cbrt (* 2 a)))
5.0ms
(cbrt (* 2 a))
1.0ms
(cbrt g)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
327.0ms
(cbrt g)
316.0ms
(/ 1 (cbrt (* 2 a)))
315.0ms
(cbrt (* 2 a))
149.0ms
(* (cbrt g) (/ 1 (cbrt (* 2 a))))

simplify3.8s

Counts
93 → 125
Calls
93 calls:
Slowest
270.0ms
(* (pow (/ -1 a) 1/3) (/ 1 (cbrt -2)))
250.0ms
(* g (* (* (/ 1 (cbrt (* 2 a))) (/ 1 (cbrt (* 2 a)))) (/ 1 (cbrt (* 2 a)))))
248.0ms
(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
221.0ms
(* (pow (/ 1 a) 1/3) (/ 1 (cbrt 2)))
213.0ms
(* (pow (/ 1 a) 1/3) (/ 1 (cbrt 2)))

prune1.1s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

regimes458.0ms

Accuracy

0% (0.8b remaining)

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

bsearch1.0ms

end0.0ms

sample854.0ms

Algorithm
intervals
Results
633.0ms8000×body80valid