Details

Time bar (total: 12.6s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
066
196
2116
done116

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize8.0ms

Local error

Found 1 expressions with local error:

14.6b
(cbrt (/ g (* 2.0 a)))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
7×cbrt-prod
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
1×pow1 add-exp-log expm1-log1p-u cbrt-div pow1/3 add-cbrt-cube log1p-expm1-u div-inv add-log-exp
Counts
1 → 18
Calls
1 calls:
2.0ms
(cbrt (/ g (* 2.0 a)))

series93.0ms

Counts
1 → 3
Calls
1 calls:
93.0ms
(cbrt (/ g (* 2.0 a)))

simplify2.8s

Counts
21 → 21
Iterations

Useful iterations: 6 (2.3s)

IterNodesCost
064213
196210
2154196
3325190
4763181
51917177
64984175
done5000175

prune73.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.5b
(cbrt (/ 1 (* 2.0 a)))
0.6b
(cbrt g)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
19×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
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 log1p-expm1-u add-log-exp
2×cbrt-div pow-prod-down div-inv
1×associate-*r/ prod-exp *-commutative cbrt-unprod
Counts
3 → 66
Calls
3 calls:
9.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
3.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series482.0ms

Counts
3 → 9
Calls
3 calls:
107.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
199.0ms
(cbrt (/ 1 (* 2.0 a)))
176.0ms
(cbrt g)

simplify2.4s

Counts
75 → 75
Iterations

Useful iterations: 4 (1.2s)

IterNodesCost
0115711
1203679
2474633
31352618
43561609
done5000609

prune199.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ 1 (cbrt (* 2.0 a)))
0.3b
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
0.5b
(cbrt (* 2.0 a))
0.6b
(cbrt g)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
26×*-un-lft-identity
24×add-cube-cbrt
17×add-exp-log cbrt-prod
16×associate-*r*
7×pow1 add-cbrt-cube
6×associate-*l* unswap-sqr
4×expm1-log1p-u div-exp prod-exp associate-/r* log1p-expm1-u add-log-exp
3×pow1/3 associate-/l*
2×cbrt-undiv rec-exp pow-flip 1-exp cbrt-unprod div-inv
1×frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 109
Calls
4 calls:
3.0ms
(/ 1 (cbrt (* 2.0 a)))
12.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
2.0ms
(cbrt (* 2.0 a))
1.0ms
(cbrt g)

series737.0ms

Counts
4 → 12
Calls
4 calls:
226.0ms
(/ 1 (cbrt (* 2.0 a)))
126.0ms
(* (cbrt g) (/ 1 (cbrt (* 2.0 a))))
214.0ms
(cbrt (* 2.0 a))
170.0ms
(cbrt g)

simplify1.6s

Counts
121 → 121
Iterations

Useful iterations: 3 (697.0ms)

IterNodesCost
01621171
1330995
2728909
32237888
done5000888

prune281.0ms

Pruning

18 alts after pruning (15 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ (sqrt 1) a)))
0.5b
(* (cbrt (/ 1 2.0)) (cbrt g))
0.6b
(cbrt g)
0.6b
(cbrt (/ (sqrt 1) a))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
73×cbrt-prod
60×add-sqr-sqrt
49×times-frac
44×*-un-lft-identity
42×add-cube-cbrt
31×associate-*r*
18×sqrt-prod
17×associate-*l*
11×pow1 add-exp-log
8×unswap-sqr
7×pow1/3 pow-prod-down
6×cbrt-div
5×add-cbrt-cube
4×expm1-log1p-u associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×div-inv
2×*-commutative
1×frac-times associate-*r/
Counts
4 → 137
Calls
4 calls:
25.0ms
(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ (sqrt 1) a)))
11.0ms
(* (cbrt (/ 1 2.0)) (cbrt g))
0.0ms
(cbrt g)
3.0ms
(cbrt (/ (sqrt 1) a))

series705.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ (sqrt 1) a)))
225.0ms
(* (cbrt (/ 1 2.0)) (cbrt g))
177.0ms
(cbrt g)
175.0ms
(cbrt (/ (sqrt 1) a))

simplify2.0s

Counts
149 → 149
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
02391706
14561433
210531333
336271315
done50011315

prune382.0ms

Pruning

16 alts after pruning (12 fresh and 4 done)

Merged error: 0b

regimes274.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
099
1139
done139

end0.0ms

sample308.0ms

Algorithm
intervals
Results
178.0ms8000×body80valid