Details

Time bar (total: 5.1s)

sample43.0ms

Algorithm
intervals
Results
17.0ms410×body80valid

simplify126.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0379
1949
22879
37419
416629
541959
650019
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x 9.0) y)
0.7b
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.4b
(* (* (* z 4.0) t) a)
21.8b
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite287.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
18×pow1
12×*-un-lft-identity
10×prod-exp cbrt-unprod
9×pow-prod-down
8×add-sqr-sqrt add-cube-cbrt
6×associate-*r* add-log-exp
4×times-frac associate-/l*
2×cbrt-undiv div-exp associate-*l* *-commutative associate-/l/ distribute-lft-out
1×associate-+l- sub-neg flip3-- frac-2neg flip3-+ diff-log div-sub clear-num associate-/r* flip-- flip-+ div-inv
Counts
4 → 77
Calls
4 calls:
18.0ms
(* (* x 9.0) y)
21.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
55.0ms
(* (* (* z 4.0) t) a)
191.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series336.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (* x 9.0) y)
81.0ms
(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
29.0ms
(* (* (* z 4.0) t) a)
203.0ms
(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify69.0ms

Counts
89 → 89
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491675
12345574
25002574
done5002574

prune230.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.3b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 9.0 (/ (* x y) (* z c)))
5.9b
(/ b (* z c))
6.2b
(/ (* a t) c)
12.5b
(/ (* x y) (* z c))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
44×add-exp-log add-cbrt-cube
15×prod-exp cbrt-unprod
12×cbrt-undiv add-sqr-sqrt div-exp
10×add-cube-cbrt *-un-lft-identity
8×times-frac
6×pow1
5×associate-*r* associate-/r* associate-/l*
4×div-inv add-log-exp
3×frac-2neg associate-*l* clear-num
1×associate-*r/ pow-prod-down *-commutative unswap-sqr
Counts
4 → 92
Calls
4 calls:
26.0ms
(* 9.0 (/ (* x y) (* z c)))
8.0ms
(/ b (* z c))
10.0ms
(/ (* a t) c)
15.0ms
(/ (* x y) (* z c))

series117.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(* 9.0 (/ (* x y) (* z c)))
21.0ms
(/ b (* z c))
20.0ms
(/ (* a t) c)
32.0ms
(/ (* x y) (* z c))

simplify57.0ms

Counts
104 → 104
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0420503
12365384
25002384
done5002384

prune259.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

5.4b
(/ (* z c) y)
5.9b
(/ b (* z c))
6.2b
(/ (* a t) c)
8.7b
(/ x (/ (* z c) y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-exp-log add-cbrt-cube
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×associate-/r*
11×cbrt-undiv div-exp
8×div-inv associate-/l*
4×pow1 frac-2neg prod-exp clear-num cbrt-unprod add-log-exp
1×associate-/r/
Counts
4 → 111
Calls
4 calls:
12.0ms
(/ (* z c) y)
8.0ms
(/ b (* z c))
10.0ms
(/ (* a t) c)
10.0ms
(/ x (/ (* z c) y))

series95.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* z c) y)
21.0ms
(/ b (* z c))
20.0ms
(/ (* a t) c)
33.0ms
(/ x (/ (* z c) y))

simplify48.0ms

Counts
123 → 123
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0457568
12237494
25001494
done5001494

prune377.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

5.2b
(/ (/ x (* z c)) (/ 1 y))
5.9b
(/ b (* z c))
6.2b
(/ (* a t) c)
6.4b
(/ x (* z c))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
214×times-frac
94×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
58×add-exp-log
40×add-cbrt-cube
32×div-exp
26×div-inv
19×cbrt-undiv
18×associate-/r*
14×associate-/l*
7×prod-exp
5×cbrt-unprod
4×pow1 frac-2neg clear-num add-log-exp
3×rec-exp 1-exp
1×associate-/r/ associate-/l/
Counts
4 → 204
Calls
4 calls:
20.0ms
(/ (/ x (* z c)) (/ 1 y))
9.0ms
(/ b (* z c))
10.0ms
(/ (* a t) c)
8.0ms
(/ x (* z c))

series98.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (/ x (* z c)) (/ 1 y))
25.0ms
(/ b (* z c))
20.0ms
(/ (* a t) c)
21.0ms
(/ x (* z c))

simplify91.0ms

Counts
216 → 216
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09981567
147581323
250011323
done50011323

prune581.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

regimes699.0ms

Accuracy

19.2% (8.3b remaining)

Error of 8.6b against oracle of 0.2b and baseline of 10.5b

bsearch145.0ms

Steps
ItersRangePoint
9
6.029971698938146e+55
2.008145316763687e+61
4.089116712204728e+58
7
-189.43316195373018
-7.868634481625955
-107.94771645659854

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04924
14924
done4924

end0.0ms

sample1.2s

Algorithm
intervals
Results
545.0ms12833×body80valid