Details

Time bar (total: 11.2s)

sample21.0ms

Algorithm
intervals
Results
9.0ms277×body80valid

simplify2.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11911
23811
35211
48011
510811
615211
731811
8151711
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
10.8b
(/ (- x (* y z)) (- t (* a z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
2.0ms
(- t (* a z))
8.0ms
(/ (- x (* y z)) (- t (* a z)))

series90.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(- t (* a z))
54.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.0s

Counts
50 → 50
Iterations

Useful iterations: done (1.0s)

IterNodesCost
085724
1221706
2654652
32045652
done5000650

prune146.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.6b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
2.1b
(/ x (- t (* a z)))
2.7b
(* y (/ z (- t (* a z))))
8.6b
(/ z (- t (* a z)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
15×associate-*r*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv div-exp associate-*l* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log associate-*r/ pow-prod-down *-commutative
Counts
4 → 104
Calls
4 calls:
2.0ms
(- t (* a z))
4.0ms
(/ x (- t (* a z)))
12.0ms
(* y (/ z (- t (* a z))))
4.0ms
(/ z (- t (* a z)))

series171.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- t (* a z))
39.0ms
(/ x (- t (* a z)))
42.0ms
(* y (/ z (- t (* a z))))
60.0ms
(/ z (- t (* a z)))

simplify1.8s

Counts
116 → 116
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01461329
13291289
28501169
323281169
done50001167

prune333.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (- t (* a z)))
2.1b
(/ x (- t (* a z)))
2.7b
(* y (* z (/ 1 (- t (* a z)))))
8.1b
(* z (/ 1 (- t (* a z))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
36×add-sqr-sqrt
34×add-exp-log
30×*-un-lft-identity
29×add-cube-cbrt times-frac
22×add-cbrt-cube
16×associate-*r*
13×prod-exp
12×pow1
7×div-exp cbrt-unprod
6×associate-*l* associate-/r* associate-/r/ associate-/l*
4×cbrt-undiv associate-*r/ pow-prod-down add-log-exp
3×rec-exp flip3-- 1-exp flip-- div-inv unswap-sqr
2×frac-2neg clear-num un-div-inv *-commutative
1×pow-flip inv-pow
Counts
4 → 124
Calls
4 calls:
7.0ms
(/ 1 (- t (* a z)))
4.0ms
(/ x (- t (* a z)))
15.0ms
(* y (* z (/ 1 (- t (* a z)))))
12.0ms
(* z (/ 1 (- t (* a z))))

series192.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ 1 (- t (* a z)))
36.0ms
(/ x (- t (* a z)))
47.0ms
(* y (* z (/ 1 (- t (* a z)))))
56.0ms
(* z (/ 1 (- t (* a z))))

simplify1.6s

Counts
136 → 136
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01621626
13831416
29221222
327431222
done50001220

prune317.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.6b

localize17.0ms

Local error

Found 4 expressions with local error:

8.6b
(/ z (- t (* a z)))
9.6b
(cbrt (/ z (- t (* a z))))
9.6b
(cbrt (/ z (- t (* a z))))
9.6b
(cbrt (/ z (- t (* a z))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
36×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/r/
6×add-exp-log add-cbrt-cube
4×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-div pow1/3 associate-/r* associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 101
Calls
4 calls:
4.0ms
(/ z (- t (* a z)))
2.0ms
(cbrt (/ z (- t (* a z))))
2.0ms
(cbrt (/ z (- t (* a z))))
3.0ms
(cbrt (/ z (- t (* a z))))

series450.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(/ z (- t (* a z)))
125.0ms
(cbrt (/ z (- t (* a z))))
133.0ms
(cbrt (/ z (- t (* a z))))
134.0ms
(cbrt (/ z (- t (* a z))))

simplify1.5s

Counts
113 → 113
Iterations

Useful iterations: 4 (839.0ms)

IterNodesCost
01101644
12111593
24651514
310871499
428011476
done50011476

prune422.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.6b

regimes268.0ms

Accuracy

89.7% (0.2b remaining)

Error of 6.5b against oracle of 6.3b and baseline of 8.1b

bsearch86.0ms

Steps
ItersRangePoint
9
9.874627991469258e-44
4.018134768956843e-34
2.509525911824164e-42
8
-3.7111308573574424e+39
-6.691049441502269e+34
-4.064011900835633e+38

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02263
13045
done3045

end0.0ms

sample548.0ms

Algorithm
intervals
Results
279.0ms8717×body80valid