Details

Time bar (total: 13.0s)

sample24.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify26.0ms

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize18.0ms

Local error

Found 1 expressions with local error:

13.9b
(cbrt (/ g (* 2 a)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt *-un-lft-identity times-frac add-cube-cbrt
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)))

series124.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
124.0ms
(cbrt (/ g (* 2 a)))

simplify1.0s

Counts
22 → 22

prune224.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.1b

localize23.0ms

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
39×cbrt-prod
35×add-sqr-sqrt
21×*-un-lft-identity add-cube-cbrt
20×times-frac
16×associate-*r*
associate-*l* unswap-sqr
pow1 add-exp-log
pow1/3
expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
cbrt-div pow-prod-down div-inv
prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
3 → 83
Calls
3 calls:
Slowest
20.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
3.0ms
(cbrt (/ 1/2 a))
1.0ms
(cbrt g)

series674.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
314.0ms
(cbrt (/ 1/2 a))
242.0ms
(cbrt g)
118.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))

simplify1.8s

Counts
92 → 92

prune980.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
associate-/l*
add-exp-log
associate-/r*
expm1-log1p-u pow1 add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
pow1/3
cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 75
Calls
3 calls:
Slowest
12.0ms
(/ (cbrt g) (cbrt (* 2 a)))
5.0ms
(cbrt (* 2 a))
1.0ms
(cbrt g)

series775.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
288.0ms
(cbrt g)
286.0ms
(cbrt (* 2 a))
200.0ms
(/ (cbrt g) (cbrt (* 2 a)))

simplify1.4s

Counts
84 → 84

prune814.0ms

Pruning

16 alts after pruning (13 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt g)
0.4b
(* (cbrt g) (cbrt 1/2))
0.3b
(/ (* (cbrt g) (cbrt 1/2)) (cbrt a))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
22×cbrt-prod add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
11×add-exp-log
pow1 associate-/r* times-frac associate-*r* associate-*l*
add-cbrt-cube
expm1-log1p-u pow1/3 insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
cbrt-undiv div-exp pow-prod-down prod-exp cbrt-unprod
clear-num frac-2neg *-commutative div-inv associate-/l*
Counts
4 → 89
Calls
4 calls:
Slowest
20.0ms
(/ (* (cbrt g) (cbrt 1/2)) (cbrt a))
15.0ms
(* (cbrt g) (cbrt 1/2))
2.0ms
(cbrt a)
1.0ms
(cbrt g)

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
314.0ms
(cbrt a)
305.0ms
(* (cbrt g) (cbrt 1/2))
278.0ms
(cbrt g)
137.0ms
(/ (* (cbrt g) (cbrt 1/2)) (cbrt a))

simplify1.2s

Counts
101 → 101

prune1.4s

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0b

regimes446.0ms

Accuracy

0% (0.8b remaining)

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

bsearch2.0ms

end0.0ms

sample857.0ms

Algorithm
intervals
Results
664.0ms8000×body80valid