Details

Time bar (total: 12.4s)

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: 17.1b

localize5.0ms

Local error

Found 1 expressions with local error:

16.7b
(cbrt (/ g (* 2.0 a)))

rewrite3.0ms

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

series92.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(cbrt (/ g (* 2.0 a)))

simplify3.1s

Counts
21 → 21
Iterations

Useful iterations: 6 (2.6s)

IterNodesCost
064213
196210
2154196
3325190
4763181
51917177
64984175
done5000175

prune59.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.4b
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
0.6b
(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*
times-frac associate-*l*
pow1 add-exp-log
pow1/3 unswap-sqr
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
cbrt-div pow-prod-down div-inv
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)

series466.0ms

Counts
3 → 9
Calls
3 calls:
105.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
191.0ms
(cbrt (/ 1 (* 2.0 a)))
171.0ms
(cbrt g)

simplify2.2s

Counts
75 → 75
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
0115711
1203679
2474633
31352618
43561609
done5000609

prune180.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
26×cbrt-prod
24×times-frac
21×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
associate-/l*
add-exp-log
associate-/r*
pow1 expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
pow1/3
cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 72
Calls
3 calls:
4.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
0.0ms
(cbrt g)
1.0ms
(cbrt (* 2.0 a))

series505.0ms

Counts
3 → 9
Calls
3 calls:
121.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
178.0ms
(cbrt g)
205.0ms
(cbrt (* 2.0 a))

simplify1.7s

Counts
81 → 81
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0129817
1212788
2445750
31166737
44103728
done5000727

prune214.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ 1 a)))
0.4b
(* (cbrt (/ 1 2.0)) (cbrt g))
0.5b
(cbrt (/ 1 a))
0.6b
(cbrt g)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
55×cbrt-prod
48×add-sqr-sqrt
32×*-un-lft-identity
31×times-frac
30×add-cube-cbrt
22×associate-*r*
17×associate-*l*
11×pow1 add-exp-log
unswap-sqr
pow1/3 pow-prod-down
cbrt-div
add-cbrt-cube
expm1-log1p-u associate-*l/ prod-exp cbrt-unprod log1p-expm1-u add-log-exp
div-inv
*-commutative
frac-times associate-*r/
Counts
4 → 119
Calls
4 calls:
21.0ms
(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ 1 a)))
12.0ms
(* (cbrt (/ 1 2.0)) (cbrt g))
2.0ms
(cbrt (/ 1 a))
1.0ms
(cbrt g)

series699.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ 1 a)))
224.0ms
(* (cbrt (/ 1 2.0)) (cbrt g))
173.0ms
(cbrt (/ 1 a))
187.0ms
(cbrt g)

simplify2.0s

Counts
131 → 131
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
02071350
13971257
210181141
335801123
done50001123

prune321.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes421.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01112
11512
done1512

end0.0ms

sample313.0ms

Algorithm
intervals
Results
180.0ms8000×body80valid