Details

Time bar (total: 11.2s)

sample24.0ms

Algorithm
intervals
Results
11.0ms325×body80valid

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done5002
104396
9979
8302
7116
682
564
451
332
218
111
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.4b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (- z x)))
0.0b
(* y (- z x))
10.6b
(/ (+ x (* y (- z x))) z)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt
9×times-frac
7×add-cbrt-cube add-exp-log
5×pow1 associate-*r* add-log-exp
4×distribute-rgt-in associate-+r+ sub-neg distribute-lft-in
3×associate-/r* associate-*l* associate-/l*
2×flip3-+ associate-*r/ flip-+ associate-/l/
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg flip3-- div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 70
Calls
3 calls:
7.0ms
(+ x (* y (- z x)))
22.0ms
(* y (- z x))
19.0ms
(/ (+ x (* y (- z x))) z)

series162.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (* y (- z x)))
49.0ms
(* y (- z x))
66.0ms
(/ (+ x (* y (- z x))) z)

simplify926.0ms

Counts
79 → 79
Iterations
IterNodes
done5001
2971
1277
0116

prune303.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.3b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (/ x z))
0.0b
(- (+ y (/ x z)) (/ (* x y) z))
6.1b
(/ (* x y) z)

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity
10×add-log-exp
8×add-cbrt-cube add-exp-log
7×add-sqr-sqrt
5×add-cube-cbrt
3×pow1 associate-/r* times-frac
2×cbrt-undiv sum-log flip3-+ diff-log div-exp frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative clear-num sub-neg frac-2neg flip3-- prod-exp associate--l+ cbrt-unprod div-inv flip-- associate-/l* difference-of-squares
Counts
3 → 52
Calls
3 calls:
12.0ms
(+ y (/ x z))
94.0ms
(- (+ y (/ x z)) (/ (* x y) z))
14.0ms
(/ (* x y) z)

series93.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(+ y (/ x z))
39.0ms
(- (+ y (/ x z)) (/ (* x y) z))
28.0ms
(/ (* x y) z)

simplify1.1s

Counts
61 → 61
Iterations
IterNodes
done5000
21216
1265
0100

prune317.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ y (/ x z))
0.0b
(- (+ y (/ x z)) (/ x (/ z y)))
7.3b
(/ x (/ z y))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
54×add-sqr-sqrt
52×*-un-lft-identity
45×add-cube-cbrt
13×associate-/r*
10×add-log-exp
8×add-cbrt-cube add-exp-log
5×div-inv
3×pow1 cbrt-undiv div-exp associate-/l* difference-of-squares
2×sum-log flip3-+ diff-log frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative clear-num sub-neg frac-2neg flip3-- associate--l+ associate-/r/ flip--
Counts
3 → 103
Calls
3 calls:
8.0ms
(+ y (/ x z))
124.0ms
(- (+ y (/ x z)) (/ x (/ z y)))
12.0ms
(/ x (/ z y))

series99.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(+ y (/ x z))
45.0ms
(- (+ y (/ x z)) (/ x (/ z y)))
24.0ms
(/ x (/ z y))

simplify1.1s

Counts
112 → 112
Iterations
IterNodes
done5000
22231
1536
0206

prune561.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.8b
(* (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))) (* (/ (cbrt x) (cbrt z)) y))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
39×add-cbrt-cube
37×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
16×pow1
9×cbrt-prod associate-*l/
8×pow-prod-down
7×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
5×frac-times
4×add-log-exp
3×pow1/3 associate-*r/
1×associate-*r* associate-*l* *-commutative
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
113.0ms
(* (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))) (* (/ (cbrt x) (cbrt z)) y))

series788.0ms

Counts
4 → 12
Calls
4 calls:
245.0ms
(cbrt z)
266.0ms
(cbrt z)
243.0ms
(cbrt z)
34.0ms
(* (* (/ (cbrt x) (cbrt z)) (/ (cbrt x) (cbrt z))) (* (/ (cbrt x) (cbrt z)) y))

simplify1.6s

Counts
96 → 96
Iterations
IterNodes
done5000
21485
1357
0108

prune377.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample784.0ms

Algorithm
intervals
Results
413.0ms10088×body80valid