Details

Time bar (total: 10.9s)

sample19.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify15.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.9b

localize8.0ms

Local error

Found 1 expressions with local error:

17.9b
(cbrt (/ g (* 2 a)))

rewrite1.0ms

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)))

series110.0ms

Calls
1 calls:
Slowest
110.0ms
(cbrt (/ g (* 2 a)))

simplify755.0ms

Calls
8 calls:
Slowest
315.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
241.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))))
124.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
35.0ms
(cbrt (* (cbrt (/ g (* 2 a))) (cbrt (/ g (* 2 a)))))
33.0ms
(cbrt (sqrt (/ g (* 2 a))))

prune162.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

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))))

rewrite14.0ms

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×expm1-log1p-u add-cbrt-cube associate-*l* insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-div pow-prod-down div-inv
1×prod-exp associate-*r/ *-commutative cbrt-unprod
Calls
3 calls:
Slowest
10.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))
2.0ms
(cbrt (/ 1 (* 2 a)))
0.0ms
(cbrt g)

series663.0ms

Calls
3 calls:
Slowest
291.0ms
(cbrt (/ 1 (* 2 a)))
246.0ms
(cbrt g)
126.0ms
(* (cbrt g) (cbrt (/ 1 (* 2 a))))

simplify1.2s

Calls
28 calls:
Slowest
246.0ms
(* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (* (cbrt -1) (cbrt -1/2)))
243.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
131.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
76.0ms
(* g (/ 1 (* 2 a)))
72.0ms
(* g (/ 1 (* 2 a)))

prune571.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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)))

rewrite19.0ms

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×expm1-log1p-u associate-*r* prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×cbrt-div
2×associate-*l/ *-commutative div-inv
1×associate-*r/
Calls
4 calls:
Slowest
12.0ms
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 1/2)))
5.0ms
(* (cbrt (/ 1 a)) (cbrt 1/2))
1.0ms
(cbrt (/ 1 a))
0.0ms
(cbrt g)

series988.0ms

Calls
4 calls:
Slowest
326.0ms
(* (cbrt (/ 1 a)) (cbrt 1/2))
281.0ms
(cbrt g)
249.0ms
(cbrt (/ 1 a))
131.0ms
(* (cbrt g) (* (cbrt (/ 1 a)) (cbrt 1/2)))

simplify1.8s

Calls
42 calls:
Slowest
436.0ms
(* g (* (* (* (cbrt (/ 1 a)) (cbrt 1/2)) (* (cbrt (/ 1 a)) (cbrt 1/2))) (* (cbrt (/ 1 a)) (cbrt 1/2))))
326.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))))
318.0ms
(* (cbrt 1/2) (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (pow (cbrt -1) 2)))
131.0ms
(* (cbrt 1/2) (exp (* 1/3 (- (log g) (log a)))))
70.0ms
(* g (* (/ 1 a) 1/2))

prune878.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 3 expressions with local error:

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

rewrite6.0ms

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
4.0ms
(/ (cbrt g) (cbrt (* 2 a)))
1.0ms
(cbrt (* 2 a))
0.0ms
(cbrt g)

series736.0ms

Calls
3 calls:
Slowest
309.0ms
(cbrt (* 2 a))
262.0ms
(cbrt g)
165.0ms
(/ (cbrt g) (cbrt (* 2 a)))

simplify1.2s

Calls
42 calls:
Slowest
327.0ms
(/ (* (exp (* 1/3 (- (log (/ -1 a)) (log (/ -1 g))))) (cbrt -1)) (cbrt -2))
269.0ms
(/ (exp (* 1/3 (- (log (/ 1 a)) (log (/ 1 g))))) (cbrt 2))
96.0ms
(/ (exp (* 1/3 (- (log g) (log a)))) (cbrt 2))
41.0ms
(/ (* (cbrt (cbrt g)) (cbrt (cbrt g))) (* (cbrt (cbrt (* 2 a))) (cbrt (cbrt (* 2 a)))))
40.0ms
(/ (* (cbrt (cbrt g)) (cbrt (cbrt g))) (sqrt (cbrt (* 2 a))))

prune575.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 0.0b

regimes320.0ms

Accuracy

0% (0.8b remaining)

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

bsearch1.0ms

end0.0ms

sample803.0ms

Algorithm
intervals
Results
666.0ms8000×body80valid