Details

Time bar (total: 17.1s)

sample36.0ms

Algorithm
intervals
Results
15.0ms354×body80valid

simplify5.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12613
28913
327813
474313
5159813
6204413
7215313
8215913
done215913

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.5b
(- (* x y) (* (* z 9.0) t))
9.5b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
18.0ms
(* (* z 9.0) t)
19.0ms
(- (* x y) (* (* z 9.0) t))
24.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series188.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(* (* z 9.0) t)
70.0ms
(- (* x y) (* (* z 9.0) t))
93.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.4s

Counts
63 → 63
Iterations

Useful iterations: 2 (210.0ms)

IterNodesCost
0116858
1328827
21585711
done5000711

prune244.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.6b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.3b
(* 4.5 (/ (* t z) a))
5.4b
(/ (* t z) a)
8.1b
(/ (* x y) a)

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
18×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity associate-*r*
12×times-frac
10×prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp
6×associate-*l* associate-/r*
4×div-inv add-log-exp
2×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
4 → 96
Calls
4 calls:
30.0ms
(* 0.5 (/ (* x y) a))
31.0ms
(* 4.5 (/ (* t z) a))
25.0ms
(/ (* t z) a)
16.0ms
(/ (* x y) a)

series146.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* 0.5 (/ (* x y) a))
41.0ms
(* 4.5 (/ (* t z) a))
38.0ms
(/ (* t z) a)
33.0ms
(/ (* x y) a)

simplify1.5s

Counts
108 → 108
Iterations

Useful iterations: done (1.5s)

IterNodesCost
0146980
1408946
22222806
done5000774

prune305.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.9b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
4.2b
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
5.4b
(/ (* t z) a)

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/r* div-inv
2×pow1/3
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative associate-/l*
Counts
4 → 102
Calls
4 calls:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
73.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
10.0ms
(/ (* t z) a)

series732.0ms

Counts
4 → 12
Calls
4 calls:
267.0ms
(cbrt a)
355.0ms
(cbrt a)
84.0ms
(* (/ x (* (cbrt a) (cbrt a))) (/ y (cbrt a)))
26.0ms
(/ (* t z) a)

simplify1.7s

Counts
114 → 114
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01811334
15621281
23572971
done5000887

prune521.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (* 0.5 x) (/ y a)) (* 4.5 (/ (* t z) a)))
0.3b
(* 4.5 (/ (* t z) a))
4.7b
(* (* 0.5 x) (/ y a))
5.4b
(/ (* t z) a)

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
20×associate-*r*
18×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
15×times-frac
11×pow1 prod-exp cbrt-unprod
6×cbrt-undiv associate-*r/ div-exp add-log-exp
4×associate-*l* pow-prod-down
3×associate-/r* div-inv
2×*-commutative
1×sub-neg flip3-- frac-2neg diff-log clear-num frac-sub flip-- associate-/l* sub-div unswap-sqr
Counts
4 → 95
Calls
4 calls:
26.0ms
(- (* (* 0.5 x) (/ y a)) (* 4.5 (/ (* t z) a)))
18.0ms
(* 4.5 (/ (* t z) a))
24.0ms
(* (* 0.5 x) (/ y a))
17.0ms
(/ (* t z) a)

series250.0ms

Counts
4 → 12
Calls
4 calls:
160.0ms
(- (* (* 0.5 x) (/ y a)) (* 4.5 (/ (* t z) a)))
35.0ms
(* 4.5 (/ (* t z) a))
31.0ms
(* (* 0.5 x) (/ y a))
23.0ms
(/ (* t z) a)

simplify1.8s

Counts
107 → 107
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01741250
15131178
232521030
done50021014

prune284.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes755.0ms

Accuracy

92.5% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 7.8b

bsearch2.0ms

simplify18.0ms

Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
041119
155105
25893
36193
done6193

end0.0ms

sample1.5s

Algorithm
intervals
Results
716.0ms11085×body80valid