Details

Time bar (total: 11.1s)

sample44.0ms

Algorithm
intervals
Results
18.0ms278×body80valid

simplify441.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
7631
6205
5108
480
352
238
119
010

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.3b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
9.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
7×add-log-exp
5×add-cbrt-cube add-exp-log
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv
Counts
3 → 56
Calls
3 calls:
8.0ms
(- t (* a z))
8.0ms
(- x (* y z))
27.0ms
(/ (- x (* y z)) (- t (* a z)))

series205.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- t (* a z))
42.0ms
(- x (* y z))
118.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify705.0ms

Counts
65 → 65
Iterations
IterNodes
done5000
2993
1258
096

prune370.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.8b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
2.6b
(/ x (- t (* a z)))
3.5b
(/ y (/ (- t (* a z)) z))
7.5b
(/ (- t (* a z)) z)

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
93×times-frac
62×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
19×associate-/r*
13×add-cbrt-cube add-exp-log
9×associate-/l*
7×div-inv
6×add-log-exp
5×cbrt-undiv div-exp
4×pow1
3×clear-num frac-2neg flip3-- associate-/r/ flip--
2×associate-/l/
1×sub-neg diff-log div-sub
Counts
4 → 141
Calls
4 calls:
8.0ms
(- t (* a z))
14.0ms
(/ x (- t (* a z)))
21.0ms
(/ y (/ (- t (* a z)) z))
18.0ms
(/ (- t (* a z)) z)

series200.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(- t (* a z))
45.0ms
(/ x (- t (* a z)))
53.0ms
(/ y (/ (- t (* a z)) z))
48.0ms
(/ (- t (* a z)) z)

simplify1.1s

Counts
153 → 153
Iterations
IterNodes
done5002
22613
1560
0221

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.3b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) (/ a 1))
0.0b
(- t (* a z))
2.6b
(/ x (- t (* a z)))
3.5b
(/ y (- (/ t z) (/ a 1)))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
113×add-sqr-sqrt
87×times-frac
68×*-un-lft-identity
30×difference-of-squares
28×add-cube-cbrt
14×associate-/r*
10×distribute-lft-out--
8×add-cbrt-cube add-exp-log add-log-exp
6×associate-/l*
5×associate-/r/
4×pow1 flip3-- flip--
2×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp frac-sub div-inv
Counts
4 → 124
Calls
4 calls:
24.0ms
(- (/ t z) (/ a 1))
4.0ms
(- t (* a z))
7.0ms
(/ x (- t (* a z)))
60.0ms
(/ y (- (/ t z) (/ a 1)))

series203.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(- (/ t z) (/ a 1))
66.0ms
(- t (* a z))
63.0ms
(/ x (- t (* a z)))
36.0ms
(/ y (- (/ t z) (/ a 1)))

simplify641.0ms

Counts
136 → 136
Iterations
IterNodes
done5000
21367
1426
0211

prune785.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.3b

localize57.0ms

Local error

Found 4 expressions with local error:

2.6b
(/ x (- t (* a z)))
8.2b
(cbrt (- (/ t z) a))
8.2b
(cbrt (- (/ t z) a))
8.2b
(cbrt (- (/ t z) a))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
21×*-un-lft-identity
18×cbrt-prod
15×add-cube-cbrt
12×times-frac
6×cbrt-div add-cbrt-cube add-exp-log difference-of-squares
4×pow1 flip3-- flip-- add-log-exp
3×associate-/r* pow1/3 associate-/l* distribute-lft-out--
2×associate-/r/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 77
Calls
4 calls:
15.0ms
(/ x (- t (* a z)))
17.0ms
(cbrt (- (/ t z) a))
17.0ms
(cbrt (- (/ t z) a))
17.0ms
(cbrt (- (/ t z) a))

series660.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(/ x (- t (* a z)))
175.0ms
(cbrt (- (/ t z) a))
214.0ms
(cbrt (- (/ t z) a))
211.0ms
(cbrt (- (/ t z) a))

simplify1.1s

Counts
89 → 89
Iterations
IterNodes
done5000
32212
2669
1260
0125

prune731.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 1.3b

regimes680.0ms

Accuracy

0% (1.6b remaining)

Error of 3.0b against oracle of 1.4b and baseline of 3.0b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done18
218
117
014

end0.0ms

sample1.6s

Algorithm
intervals
Results
941.0ms8684×body80valid