Details

Time bar (total: 15.1s)

sample29.0ms

Algorithm
intervals
Results
14.0ms283×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5002
93311
8723
7277
6156
5104
480
352
238
119
010

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.7b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
6.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite39.0ms

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* insert-posit16 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 → 59
Calls
3 calls:
7.0ms
(- x (* y z))
11.0ms
(- t (* a z))
21.0ms
(/ (- x (* y z)) (- t (* a z)))

series147.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- x (* y z))
37.0ms
(- t (* a z))
77.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.8s

Counts
68 → 68
Iterations
IterNodes
done5007
32760
2805
1260
099

prune345.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- t (* a z))
2.2b
(/ x (- t (* a z)))
8.1b
(/ (* y z) (- t (* a z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
11×add-cbrt-cube add-exp-log
8×add-log-exp
6×associate-/r*
4×pow1 flip3-- associate-/r/ insert-posit16 flip-- associate-/l*
3×cbrt-undiv div-exp
2×clear-num sub-neg frac-2neg diff-log div-inv
1×prod-exp cbrt-unprod
Counts
4 → 80
Calls
4 calls:
5.0ms
(- t (* a z))
4.0ms
(- t (* a z))
8.0ms
(/ x (- t (* a z)))
16.0ms
(/ (* y z) (- t (* a z)))

series195.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- t (* a z))
46.0ms
(- t (* a z))
60.0ms
(/ x (- t (* a z)))
51.0ms
(/ (* y z) (- t (* a z)))

simplify1.9s

Counts
92 → 92
Iterations
IterNodes
done5001
33888
2942
1276
0114

prune438.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.4b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
2.1b
(* y (/ z (- t (* a z))))
2.2b
(/ x (- t (* a z)))
5.3b
(/ z (- t (* a z)))

rewrite54.0ms

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-- insert-posit16 flip--
3×cbrt-undiv div-exp associate-*l* div-inv
2×clear-num frac-2neg prod-exp cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down associate-*r/ *-commutative
Counts
4 → 108
Calls
4 calls:
4.0ms
(- t (* a z))
23.0ms
(* y (/ z (- t (* a z))))
15.0ms
(/ x (- t (* a z)))
11.0ms
(/ z (- t (* a z)))

series213.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- t (* a z))
58.0ms
(* y (/ z (- t (* a z))))
46.0ms
(/ x (- t (* a z)))
66.0ms
(/ z (- t (* a z)))

simplify2.5s

Counts
120 → 120
Iterations
IterNodes
done5000
34820
21190
1354
0150

prune631.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.4b

localize29.0ms

Local error

Found 4 expressions with local error:

2.6b
(* (/ y (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ z (cbrt (- t (* a z)))))
5.8b
(cbrt (- t (* a z)))
5.8b
(cbrt (- t (* a z)))
5.8b
(cbrt (- t (* a z)))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
24×associate-*r*
22×*-un-lft-identity add-cube-cbrt
20×cbrt-prod cbrt-div
18×add-cbrt-cube
15×associate-*l*
10×flip3-- associate-/r/ flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
5×frac-times
4×insert-posit16 add-log-exp
3×pow1/3 associate-*l/ associate-*r/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 112
Calls
4 calls:
80.0ms
(* (/ y (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ z (cbrt (- t (* a z)))))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))

series531.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(* (/ y (* (cbrt (- t (* a z))) (cbrt (- t (* a z))))) (/ z (cbrt (- t (* a z)))))
163.0ms
(cbrt (- t (* a z)))
138.0ms
(cbrt (- t (* a z)))
129.0ms
(cbrt (- t (* a z)))

simplify2.0s

Counts
124 → 124
Iterations
IterNodes
done5001
22062
1597
0201

prune729.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 3.4b

regimes301.0ms

Accuracy

0% (2.3b remaining)

Error of 8.8b against oracle of 6.5b and baseline of 8.8b

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done19
119
016

end0.0ms

sample848.0ms

Algorithm
intervals
Results
556.0ms8710×body80valid