Details

Time bar (total: 8.2s)

sample25.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify25.0ms

Calls
1 calls:
Slowest
25.0ms
(cbrt (/ g (* 2 a)))

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.8b

localize17.0ms

Local error

Found 1 expressions with local error:

16.8b
(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×expm1-log1p-u pow1 cbrt-div add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u div-inv add-log-exp
Calls
1 calls:
Slowest
1.0ms
(cbrt (/ g (* 2 a)))

series132.0ms

Calls
1 calls:
Slowest
132.0ms
(cbrt (/ g (* 2 a)))

simplify677.0ms

Calls
8 calls:
Slowest
305.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
210.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
102.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
34.0ms
(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
21.0ms
(cbrt (sqrt (/ g (* 2 a))))

prune170.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.2b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
5×cbrt-prod add-exp-log
4×associate-/r*
3×expm1-log1p-u pow1 add-cbrt-cube insert-posit16 log1p-expm1-u associate-/l* add-log-exp
2×pow1/3
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Calls
3 calls:
Slowest
8.0ms
(/ (cbrt g) (cbrt (* 2 a)))
1.0ms
(cbrt (* 2 a))
0.0ms
(cbrt g)

series726.0ms

Calls
3 calls:
Slowest
309.0ms
(cbrt (* 2 a))
265.0ms
(cbrt g)
152.0ms
(/ (cbrt g) (cbrt (* 2 a)))

simplify1.0s

Calls
42 calls:
Slowest
230.0ms
(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
222.0ms
(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
89.0ms
(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
44.0ms
(/ (* (cbrt (cbrt g)) (cbrt (cbrt g))) (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))))
31.0ms
(/ (* (cbrt (cbrt g)) (cbrt (cbrt g))) (cbrt 2))

prune595.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt g)
0.5b
(cbrt (* 2 a))
0.5b
(cbrt (* 2 a))
0.5b
(cbrt (* 2 a))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube pow1/3 add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-prod
Calls
4 calls:
Slowest
0.0ms
(cbrt (* 2 a))
0.0ms
(cbrt (* 2 a))
0.0ms
(cbrt (* 2 a))
0.0ms
(cbrt g)

series1.1s

Calls
4 calls:
Slowest
307.0ms
(cbrt (* 2 a))
305.0ms
(cbrt (* 2 a))
287.0ms
(cbrt (* 2 a))
247.0ms
(cbrt g)

simplify142.0ms

Calls
15 calls:
Slowest
25.0ms
(* (pow (* a -1) 1/3) (cbrt -2))
22.0ms
(* (pow (* a -1) 1/3) (cbrt -2))
14.0ms
(* (pow (* a -1) 1/3) (cbrt -2))
13.0ms
(* (pow a 1/3) (cbrt 2))
10.0ms
(* (cbrt -1) (pow (* g -1) 1/3))

prune592.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt g)
0.6b
(cbrt g)
0.6b
(cbrt g)
0.6b
(cbrt (* (* (cbrt g) (cbrt g)) (cbrt g)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
4×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube pow1/3 add-exp-log add-cube-cbrt insert-posit16 log1p-expm1-u add-log-exp
1×cbrt-prod pow3 rem-cbrt-cube
Calls
4 calls:
Slowest
8.0ms
(cbrt (* (* (cbrt g) (cbrt g)) (cbrt g)))
0.0ms
(cbrt g)
0.0ms
(cbrt g)
0.0ms
(cbrt g)

series1.1s

Calls
4 calls:
Slowest
287.0ms
(cbrt g)
284.0ms
(cbrt (* (* (cbrt g) (cbrt g)) (cbrt g)))
279.0ms
(cbrt g)
246.0ms
(cbrt g)

simplify115.0ms

Calls
13 calls:
Slowest
17.0ms
(* (cbrt -1) (pow (* g -1) 1/3))
16.0ms
(* (cbrt -1) (pow (* g -1) 1/3))
14.0ms
(pow (/ 1 g) -1/3)
13.0ms
(pow (/ 1 g) -1/3)
12.0ms
(* (cbrt -1) (pow (* g -1) 1/3))

prune488.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.1b

regimes537.0ms

Accuracy

0% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch2.0ms

end0.0ms

sample654.0ms

Algorithm
intervals
Results
521.0ms8000×body80valid