Details

Time bar (total: 9.6s)

sample28.0ms

Algorithm
intervals
Results
12.0ms365×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12613
28813
327513
466913
5117913
6139013
7140913
done140913

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.4b
(- (* x y) (* (* z 9.0) t))
7.1b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite19.0ms

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:
6.0ms
(* (* z 9.0) t)
2.0ms
(- (* x y) (* (* z 9.0) t))
9.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series134.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (* z 9.0) t)
52.0ms
(- (* x y) (* (* z 9.0) t))
65.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify753.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (124.0ms)

IterNodesCost
0116858
1327827
21288711
done5000711

prune168.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.4b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
6.3b
(/ (* t z) a)
6.4b
(/ (* x y) a)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
6.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
8.0ms
(* 4.5 (/ (* t z) a))
3.0ms
(/ (* t z) a)
3.0ms
(/ (* x y) a)

series178.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
27.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* t z) a)
24.0ms
(/ (* x y) a)

simplify651.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (139.0ms)

IterNodesCost
01441055
13821008
21413874
done5001874

prune221.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.5b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
3.7b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
6.4b
(/ (* x y) a)

rewrite36.0ms

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:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
28.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
3.0ms
(/ (* x y) a)

series428.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt a)
184.0ms
(cbrt a)
48.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
19.0ms
(/ (* x y) a)

simplify802.0ms

Counts
114 → 114
Iterations

Useful iterations: done (799.0ms)

IterNodesCost
01811334
15231275
22158957
done5000949

prune386.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
3.7b
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
5.3b
(* x (/ y a))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
38×times-frac
35×associate-*r*
30×add-exp-log
29×add-cube-cbrt *-un-lft-identity
23×add-cbrt-cube
17×cbrt-prod
10×associate-*l* prod-exp cbrt-unprod
8×pow1 cbrt-undiv div-exp unswap-sqr
4×add-log-exp
3×div-inv
2×pow1/3 associate-*r/ pow-prod-down *-commutative
1×frac-times associate-*l/
Counts
4 → 113
Calls
4 calls:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
25.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
7.0ms
(* x (/ y a))

series437.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt a)
186.0ms
(cbrt a)
47.0ms
(* (/ t (* (cbrt a) (cbrt a))) (/ z (cbrt a)))
23.0ms
(* x (/ y a))

simplify1.3s

Counts
125 → 125
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02011425
15761356
222191036
done50011028

prune411.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes489.0ms

Accuracy

89.1% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 7.5b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03481
14760
done4760

end0.0ms

sample737.0ms

Algorithm
intervals
Results
403.0ms11208×body80valid