Details

Time bar (total: 27.1s)

sample71.0ms

Algorithm
intervals
Results
32.0ms382×body80valid

simplify7.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12613
28913
327813
474313
5159813
6204413
7215313
8215913
done215913

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.3b

localize40.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
7.7b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite95.0ms

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:
31.0ms
(* (* z 9.0) t)
14.0ms
(- (* x y) (* (* z 9.0) t))
47.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series234.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(* (* z 9.0) t)
89.0ms
(- (* x y) (* (* z 9.0) t))
115.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.4s

Counts
63 → 63
Iterations

Useful iterations: 2 (274.0ms)

IterNodesCost
0116858
1328827
21585711
done5000711

prune553.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.9b

localize50.0ms

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))
4.6b
(/ (* x y) a)
6.1b
(/ (* t z) a)

rewrite130.0ms

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:
45.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
37.0ms
(* 4.5 (/ (* t z) a))
20.0ms
(/ (* x y) a)
21.0ms
(/ (* t z) a)

series334.0ms

Counts
4 → 12
Calls
4 calls:
209.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
51.0ms
(* 4.5 (/ (* t z) a))
36.0ms
(/ (* x y) a)
38.0ms
(/ (* t z) a)

simplify1.9s

Counts
95 → 95
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01441055
14041008
22154896
done5000874

prune709.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.7b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ (* x y) a))
0.0b
(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
4.6b
(/ (* x y) a)
5.4b
(* (* 4.5 t) (/ z a))

rewrite136.0ms

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:
30.0ms
(* 0.5 (/ (* x y) a))
43.0ms
(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
17.0ms
(/ (* x y) a)
40.0ms
(* (* 4.5 t) (/ z a))

series324.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(* 0.5 (/ (* x y) a))
179.0ms
(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
38.0ms
(/ (* x y) a)
49.0ms
(* (* 4.5 t) (/ z a))

simplify2.3s

Counts
107 → 107
Iterations

Useful iterations: done (2.3s)

IterNodesCost
01741250
15061178
230191030
done50001014

prune696.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
4.0b
(* (* 0.5 (/ x (* (cbrt a) (cbrt a)))) (/ y (cbrt a)))
5.4b
(* (* 4.5 t) (/ z a))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
40×add-cbrt-cube
35×associate-*r*
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
22×prod-exp cbrt-unprod
15×cbrt-prod
14×pow1
10×cbrt-undiv div-exp
6×pow-prod-down
4×associate-*r/ add-log-exp
2×pow1/3 associate-*l* *-commutative div-inv
1×frac-times associate-*l/
Counts
4 → 107
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
136.0ms
(* (* 0.5 (/ x (* (cbrt a) (cbrt a)))) (/ y (cbrt a)))
37.0ms
(* (* 4.5 t) (/ z a))

series734.0ms

Counts
4 → 12
Calls
4 calls:
296.0ms
(cbrt a)
292.0ms
(cbrt a)
99.0ms
(* (* 0.5 (/ x (* (cbrt a) (cbrt a)))) (/ y (cbrt a)))
47.0ms
(* (* 4.5 t) (/ z a))

simplify3.5s

Counts
119 → 119
Iterations

Useful iterations: 2 (667.0ms)

IterNodesCost
02151564
16941493
246571119
done50011119

prune1.4s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes2.4s

Accuracy

80.5% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 7.6b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
03069
14455
done4455

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.0s11277×body80valid