Details

Time bar (total: 23.1s)

sample94.0ms

Algorithm
intervals
Results
46.0ms433×body80valid

simplify3.9s

Counts
1 → 1
Iterations

Useful iterations: 6 (2.3s)

IterNodesCost
018369
137369
289369
3253369
4655369
51433369
64882329
done5003329

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.3b
(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
4.1b
(/ (+ b (* (* x 9.0) y)) z)
10.6b
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×times-frac
13×add-cbrt-cube add-exp-log
9×pow1
6×associate-/r* associate-/l* add-log-exp
4×associate-/l/
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×cbrt-undiv clear-num frac-2neg flip3-- div-exp div-inv flip--
1×sub-neg flip3-+ diff-log div-sub associate-*l* *-commutative flip-+
Counts
4 → 89
Calls
4 calls:
13.0ms
(* (* x 9.0) y)
63.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
32.0ms
(/ (+ b (* (* x 9.0) y)) z)
84.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

series475.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* x 9.0) y)
168.0ms
(- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a)))
73.0ms
(/ (+ b (* (* x 9.0) y)) z)
210.0ms
(/ (- (/ (+ b (* (* x 9.0) y)) z) (* 4.0 (* t a))) c)

simplify1.8s

Counts
101 → 101
Iterations

Useful iterations: done (1.8s)

IterNodesCost
018233137
145731889
2159531569
done500031489

prune874.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.6b

localize74.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
4.4b
(/ b (* z c))
5.3b
(/ (* a t) c)
9.5b
(/ (* x y) (* z c))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
44×add-cbrt-cube add-exp-log
15×prod-exp cbrt-unprod
12×add-sqr-sqrt cbrt-undiv div-exp
10×*-un-lft-identity add-cube-cbrt
8×times-frac
6×pow1
5×associate-/r* associate-*r* associate-/l*
4×div-inv add-log-exp
3×clear-num frac-2neg associate-*l*
1×pow-prod-down associate-*r/ *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
21.0ms
(* 9.0 (/ (* x y) (* z c)))
7.0ms
(/ b (* z c))
14.0ms
(/ (* a t) c)
20.0ms
(/ (* x y) (* z c))

series181.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* 9.0 (/ (* x y) (* z c)))
37.0ms
(/ b (* z c))
36.0ms
(/ (* a t) c)
52.0ms
(/ (* x y) (* z c))

simplify1.8s

Counts
104 → 104
Iterations

Useful iterations: done (1.8s)

IterNodesCost
016020991
142518978
2190217378
done500016898

prune819.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ b (* z c))
5.1b
(/ x (/ (* z c) y))
5.2b
(/ (* z c) y)
5.3b
(/ (* a t) c)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-cbrt-cube add-exp-log
26×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
14×associate-/r*
11×cbrt-undiv div-exp
8×div-inv associate-/l*
4×pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp
1×associate-/r/
Counts
4 → 111
Calls
4 calls:
6.0ms
(/ b (* z c))
20.0ms
(/ x (/ (* z c) y))
15.0ms
(/ (* z c) y)
15.0ms
(/ (* a t) c)

series148.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(/ b (* z c))
58.0ms
(/ x (/ (* z c) y))
22.0ms
(/ (* z c) y)
23.0ms
(/ (* a t) c)

simplify1.6s

Counts
123 → 123
Iterations

Useful iterations: done (1.5s)

IterNodesCost
019824309
150222729
2199822126
done500721926

prune1.2s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
4.4b
(/ b (* z c))
5.1b
(/ x (/ (* z c) y))
5.2b
(/ (* z c) y)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
67×times-frac
55×add-sqr-sqrt
44×add-exp-log
39×*-un-lft-identity add-cube-cbrt
37×add-cbrt-cube
22×associate-*r*
16×cbrt-undiv div-exp
11×cbrt-prod associate-/r* prod-exp cbrt-unprod
9×div-inv
7×associate-*l* associate-/l*
6×pow1 unswap-sqr
4×add-log-exp
3×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ associate-/r/ *-commutative
Counts
4 → 149
Calls
4 calls:
36.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
6.0ms
(/ b (* z c))
11.0ms
(/ x (/ (* z c) y))
10.0ms
(/ (* z c) y)

series185.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* (/ a (* (cbrt c) (cbrt c))) (/ t (cbrt c)))
26.0ms
(/ b (* z c))
54.0ms
(/ x (/ (* z c) y))
24.0ms
(/ (* z c) y)

simplify2.5s

Counts
161 → 161
Iterations

Useful iterations: done (2.5s)

IterNodesCost
027942951
180540175
2316239288
done505035128

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

regimes2.4s

Accuracy

39.5% (6.2b remaining)

Error of 6.2b against oracle of 0.0b and baseline of 10.2b

bsearch5.0ms

simplify28.0ms

Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
0411272
1591272
done591272

end0.0ms

sample2.9s

Algorithm
intervals
Results
2.0s12758×body80valid