Details

Time bar (total: 10.6s)

sample53.0ms

Algorithm
intervals
Results
21.0ms275×body80valid

simplify539.0ms

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.9b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
12.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite38.0ms

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
(- x (* y z))
8.0ms
(- t (* a z))
19.0ms
(/ (- x (* y z)) (- t (* a z)))

series174.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- x (* y z))
37.0ms
(- t (* a z))
101.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify699.0ms

Counts
65 → 65
Iterations
IterNodes
done5001
2992
1258
096

prune419.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* (/ y (- t (* a z))) z))
3.0b
(/ x (- t (* a z)))
3.1b
(/ y (- t (* a z)))
7.0b
(* (/ y (- t (* a z))) z)

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×*-un-lft-identity times-frac add-cube-cbrt
15×associate-*l*
13×add-cbrt-cube add-exp-log
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv div-exp associate-*r* associate-*l/ div-inv
2×clear-num frac-2neg prod-exp cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 106
Calls
4 calls:
48.0ms
(- (/ x (- t (* a z))) (* (/ y (- t (* a z))) z))
14.0ms
(/ x (- t (* a z)))
7.0ms
(/ y (- t (* a z)))
20.0ms
(* (/ y (- t (* a z))) z)

series331.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(- (/ x (- t (* a z))) (* (/ y (- t (* a z))) z))
49.0ms
(/ x (- t (* a z)))
64.0ms
(/ y (- t (* a z)))
67.0ms
(* (/ y (- t (* a z))) z)

simplify1.0s

Counts
118 → 118
Iterations
IterNodes
done5001
21692
1400
0164

prune731.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 7.4b

localize33.0ms

Local error

Found 4 expressions with local error:

3.0b
(/ x (- t (* a z)))
10.6b
(cbrt (- t (* a z)))
10.6b
(cbrt (- t (* a z)))
10.6b
(cbrt (- t (* a z)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×cbrt-prod times-frac
6×cbrt-div add-cbrt-cube add-exp-log
4×pow1 flip3-- flip-- add-log-exp
3×associate-/r* pow1/3 associate-/l*
2×associate-/r/
1×cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 68
Calls
4 calls:
7.0ms
(/ x (- t (* a z)))
5.0ms
(cbrt (- t (* a z)))
5.0ms
(cbrt (- t (* a z)))
10.0ms
(cbrt (- t (* a z)))

series532.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ x (- t (* a z)))
169.0ms
(cbrt (- t (* a z)))
148.0ms
(cbrt (- t (* a z)))
167.0ms
(cbrt (- t (* a z)))

simplify1.4s

Counts
80 → 80
Iterations
IterNodes
done5000
33072
2773
1261
0118

prune744.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 7.4b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
1.8b
(* y (/ z (- t (* a z))))
3.0b
(/ x (- t (* a z)))
10.0b
(/ z (- t (* a z)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×*-un-lft-identity times-frac add-cube-cbrt
15×associate-*r*
13×add-cbrt-cube add-exp-log
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv div-exp associate-*l* associate-*r/ div-inv
2×clear-num frac-2neg prod-exp cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 106
Calls
4 calls:
43.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
19.0ms
(* y (/ z (- t (* a z))))
7.0ms
(/ x (- t (* a z)))
14.0ms
(/ z (- t (* a z)))

series366.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
73.0ms
(* y (/ z (- t (* a z))))
68.0ms
(/ x (- t (* a z)))
95.0ms
(/ z (- t (* a z)))

simplify802.0ms

Counts
118 → 118
Iterations
IterNodes
done5000
21484
1394
0159

prune705.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 7.4b

regimes486.0ms

Accuracy

0% (0.9b remaining)

Error of 7.9b against oracle of 7.0b and baseline of 7.9b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done20
120
017

end0.0ms

sample1.2s

Algorithm
intervals
Results
532.0ms8704×body80valid