Details

Time bar (total: 16.1s)

sample33.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
29
19
06

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize16.0ms

Local error

Found 1 expressions with local error:

14.5b
(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:
7.0ms
(cbrt (/ g (* 2 a)))

series141.0ms

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

simplify3.9s

Counts
22 → 22
Iterations
IterNodes
64691
51955
4669
3266
2138
197
065

prune202.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
6×associate-/l*
5×add-exp-log
4×associate-/r*
3×expm1-log1p-u pow1 add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp
2×pow1/3
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
3 → 75
Calls
3 calls:
7.0ms
(/ (cbrt g) (cbrt (* 2 a)))
3.0ms
(cbrt (* 2 a))
1.0ms
(cbrt g)

series755.0ms

Counts
3 → 9
Calls
3 calls:
168.0ms
(/ (cbrt g) (cbrt (* 2 a)))
293.0ms
(cbrt (* 2 a))
294.0ms
(cbrt g)

simplify1.6s

Counts
84 → 84
Iterations
IterNodes
43779
31138
2458
1218
0132

prune770.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

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*
6×associate-*l* unswap-sqr
5×pow1 add-exp-log
4×pow1/3
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 → 83
Calls
3 calls:
19.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
3.0ms
(cbrt (/ 1/2 a))
2.0ms
(cbrt g)

series799.0ms

Counts
3 → 9
Calls
3 calls:
143.0ms
(* (cbrt g) (cbrt (/ 1/2 a)))
320.0ms
(cbrt (/ 1/2 a))
337.0ms
(cbrt g)

simplify1.8s

Counts
92 → 92
Iterations
IterNodes
44193
31303
2522
1259
0149

prune867.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
42×add-sqr-sqrt
26×*-un-lft-identity
24×add-cube-cbrt
22×times-frac
17×associate-*r*
12×associate-*l*
11×pow1 add-exp-log
8×unswap-sqr
7×pow1/3 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 associate-*r/
2×*-commutative div-inv
Counts
4 → 111
Calls
4 calls:
19.0ms
(* (cbrt g) (* (cbrt 1/2) (cbrt (/ 1 a))))
20.0ms
(* (cbrt 1/2) (cbrt (/ 1 a)))
3.0ms
(cbrt (/ 1 a))
1.0ms
(cbrt g)

series989.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (cbrt g) (* (cbrt 1/2) (cbrt (/ 1 a))))
312.0ms
(* (cbrt 1/2) (cbrt (/ 1 a)))
271.0ms
(cbrt (/ 1 a))
237.0ms
(cbrt g)

simplify1.3s

Counts
123 → 123
Iterations
IterNodes
32903
2911
1337
0174

prune1.2s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0b

regimes719.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
213
113
011

end0.0ms

sample768.0ms

Algorithm
intervals
Results
560.0ms8000×body80valid