Details

Time bar (total: 5.8s)

sample27.0ms

Algorithm
intervals
Results
12.0ms352×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
12613
28813
327613
467113
5118313
6141013
7143513
done143513

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.5b
(* (* z 9.0) t)
0.5b
(- (* x y) (* (* z 9.0) t))
5.4b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite18.0ms

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))
8.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series135.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* (* z 9.0) t)
51.0ms
(- (* x y) (* (* z 9.0) t))
67.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify469.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
0116858
1329827
21366711
done5001711

prune163.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 9.0 (* t z))
0.5b
(+ (* x y) (- (* 9.0 (* t z))))
5.4b
(/ (+ (* x y) (- (* 9.0 (* t z)))) (* a 2.0))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
7×add-log-exp
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×prod-exp cbrt-unprod
3×times-frac div-sub associate-*l* pow-prod-down associate-/l*
2×cbrt-undiv neg-sub0 associate-+r- flip3-+ div-exp unsub-neg sum-log flip-+ associate-/l/
1×+-commutative frac-2neg associate-*r* neg-log clear-num associate-/r* *-commutative div-inv
Counts
3 → 59
Calls
3 calls:
6.0ms
(* 9.0 (* t z))
6.0ms
(+ (* x y) (- (* 9.0 (* t z))))
11.0ms
(/ (+ (* x y) (- (* 9.0 (* t z)))) (* a 2.0))

series140.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(* 9.0 (* t z))
55.0ms
(+ (* x y) (- (* 9.0 (* t z))))
65.0ms
(/ (+ (* x y) (- (* 9.0 (* t z)))) (* a 2.0))

simplify457.0ms

Counts
68 → 68
Iterations

Useful iterations: done (455.0ms)

IterNodesCost
0118947
1341876
21373747
done5000744

prune158.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.4b

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))
4.9b
(/ (* t z) a)
6.0b
(/ (* 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)

series176.0ms

Counts
4 → 12
Calls
4 calls:
107.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
30.0ms
(* 4.5 (/ (* t z) a))
19.0ms
(/ (* t z) a)
20.0ms
(/ (* x y) a)

simplify460.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (109.0ms)

IterNodesCost
01441055
13961008
21546874
done5000874

prune230.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.8b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b
(* 9.0 (* t z))
0.5b
(+ (* x y) (- (* 9.0 (* t z))))
5.4b
(* (+ (* x y) (- (* 9.0 (* t z)))) (/ 1 (* a 2.0)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
17×add-cbrt-cube
13×prod-exp
10×pow1
9×add-sqr-sqrt
8×associate-*r*
7×add-cube-cbrt *-un-lft-identity cbrt-unprod add-log-exp
6×associate-*l*
4×div-exp pow-prod-down
3×flip3-+ times-frac flip-+
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ sum-log *-commutative
1×+-commutative neg-sub0 associate-+r- associate-*r/ unsub-neg neg-log un-div-inv div-inv unswap-sqr
Counts
3 → 69
Calls
3 calls:
6.0ms
(* 9.0 (* t z))
6.0ms
(+ (* x y) (- (* 9.0 (* t z))))
22.0ms
(* (+ (* x y) (- (* 9.0 (* t z)))) (/ 1 (* a 2.0)))

series140.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(* 9.0 (* t z))
55.0ms
(+ (* x y) (- (* 9.0 (* t z))))
65.0ms
(* (+ (* x y) (- (* 9.0 (* t z)))) (/ 1 (* a 2.0)))

simplify712.0ms

Counts
78 → 78
Iterations

Useful iterations: done (710.0ms)

IterNodesCost
01451218
14141063
21806886
done5000884

prune169.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.8b

regimes403.0ms

Accuracy

50.1% (3.6b remaining)

Error of 4.0b against oracle of 0.5b and baseline of 7.6b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04386
16186
26986
done6986

end0.0ms

sample706.0ms

Algorithm
intervals
Results
379.0ms11185×body80valid