Details

Time bar (total: 21.0s)

sample28.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066
196
2116
done116

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize11.0ms

Local error

Found 1 expressions with local error:

15.3b
(cbrt (/ g (* 2.0 a)))

rewrite10.0ms

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:
9.0ms
(cbrt (/ g (* 2.0 a)))

series177.0ms

Counts
1 → 3
Calls
1 calls:
177.0ms
(cbrt (/ g (* 2.0 a)))

simplify5.5s

Counts
21 → 21
Iterations

Useful iterations: 6 (4.0s)

IterNodesCost
064213
196210
2152196
3335190
4774181
51851177
64613175
done5000175

prune108.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ (cbrt g) (cbrt (* 2.0 a)))
0.6b
(cbrt g)
0.6b
(cbrt (* 2.0 a))

rewrite21.0ms

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:
13.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
1.0ms
(cbrt g)
4.0ms
(cbrt (* 2.0 a))

series749.0ms

Counts
3 → 9
Calls
3 calls:
193.0ms
(/ (cbrt g) (cbrt (* 2.0 a)))
281.0ms
(cbrt g)
275.0ms
(cbrt (* 2.0 a))

simplify2.8s

Counts
81 → 81
Iterations

Useful iterations: done (2.8s)

IterNodesCost
0129817
1212788
2450750
31092737
43832728
done5000722

prune311.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

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)

rewrite30.0ms

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:
20.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
7.0ms
(cbrt (/ 1 (* 2.0 a)))
1.0ms
(cbrt g)

series732.0ms

Counts
3 → 9
Calls
3 calls:
167.0ms
(* (cbrt g) (cbrt (/ 1 (* 2.0 a))))
264.0ms
(cbrt (/ 1 (* 2.0 a)))
300.0ms
(cbrt g)

simplify3.7s

Counts
75 → 75
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0115711
1203679
2458633
31171618
43351609
done5001597

prune358.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

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:
58.0ms
(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ 1 a)))
25.0ms
(* (cbrt (/ 1 2.0)) (cbrt g))
1.0ms
(cbrt g)
3.0ms
(cbrt (/ 1 a))

series1.3s

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (* (cbrt (/ 1 2.0)) (cbrt g)) (cbrt (/ 1 a)))
454.0ms
(* (cbrt (/ 1 2.0)) (cbrt g))
312.0ms
(cbrt g)
306.0ms
(cbrt (/ 1 a))

simplify3.7s

Counts
131 → 131
Iterations

Useful iterations: done (3.6s)

IterNodesCost
02071350
13971241
29481141
331891123
done50011057

prune454.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0b

regimes352.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1139
done139

end0.0ms

sample613.0ms

Algorithm
intervals
Results
411.0ms8000×body80valid