Details

Time bar (total: 13.3s)

sample32.0ms

Algorithm
intervals
Results
12.0ms293×body80valid

simplify804.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
35211
48011
510811
620511
763111
done500011

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
9.3b
(/ (- x (* y z)) (- t (* a z)))

rewrite45.0ms

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

series174.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- x (* y z))
48.0ms
(- t (* a z))
81.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify717.0ms

Counts
65 → 65
Iterations

Useful iterations: done (715.0ms)

IterNodesCost
096852
1258829
21010767
done5000765

prune386.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 9.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.3b
(/ 1 (- t (* a z)))
9.0b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- flip--
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp diff-log 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 99
Calls
4 calls:
6.0ms
(- x (* y z))
11.0ms
(- t (* a z))
11.0ms
(/ 1 (- t (* a z)))
36.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series255.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- x (* y z))
42.0ms
(- t (* a z))
77.0ms
(/ 1 (- t (* a z)))
89.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify4.1s

Counts
111 → 111
Iterations

Useful iterations: done (4.1s)

IterNodesCost
01351417
13551296
226621131
done50011125

prune400.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 9.2b

localize29.0ms

Local error

Found 4 expressions with local error:

3.5b
(/ (- x (* y z)) (cbrt (- t (* a z))))
7.4b
(cbrt (- t (* a z)))
7.4b
(cbrt (- t (* a z)))
7.4b
(cbrt (- t (* a z)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
8×cbrt-div
6×add-exp-log associate-/r*
5×flip3-- add-cbrt-cube flip--
4×pow1 add-log-exp
3×pow1/3 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
4 → 83
Calls
4 calls:
19.0ms
(/ (- x (* y z)) (cbrt (- t (* a z))))
3.0ms
(cbrt (- t (* a z)))
3.0ms
(cbrt (- t (* a z)))
3.0ms
(cbrt (- t (* a z)))

series784.0ms

Counts
4 → 12
Calls
4 calls:
332.0ms
(/ (- x (* y z)) (cbrt (- t (* a z))))
161.0ms
(cbrt (- t (* a z)))
159.0ms
(cbrt (- t (* a z)))
131.0ms
(cbrt (- t (* a z)))

simplify630.0ms

Counts
95 → 95
Iterations

Useful iterations: done (626.0ms)

IterNodesCost
01661680
14151603
213091530
done50001487

prune645.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 9.1b

localize38.0ms

Local error

Found 4 expressions with local error:

6.5b
(cbrt (- x (* y z)))
6.5b
(cbrt (- x (* y z)))
6.5b
(cbrt (- x (* y z)))
9.3b
(/ (* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (cbrt (- x (* y z)))) (- t (* a z)))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
31×flip3-- flip--
28×frac-times
26×associate-/l/
14×associate-*l/
13×add-exp-log
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
8×associate-*r/
4×pow1 add-log-exp
3×cbrt-undiv times-frac pow1/3 div-exp prod-exp associate-/r* cbrt-unprod
2×associate-/r/
1×frac-2neg clear-num div-inv associate-/l*
Counts
4 → 90
Calls
4 calls:
3.0ms
(cbrt (- x (* y z)))
3.0ms
(cbrt (- x (* y z)))
3.0ms
(cbrt (- x (* y z)))
72.0ms
(/ (* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (cbrt (- x (* y z)))) (- t (* a z)))

series646.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt (- x (* y z)))
177.0ms
(cbrt (- x (* y z)))
149.0ms
(cbrt (- x (* y z)))
119.0ms
(/ (* (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (cbrt (- x (* y z)))) (- t (* a z)))

simplify902.0ms

Counts
102 → 102
Iterations

Useful iterations: done (898.0ms)

IterNodesCost
01562364
14122201
216641751
done50011644

prune710.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 9.1b

regimes674.0ms

Accuracy

0% (0.4b remaining)

Error of 10.6b against oracle of 10.2b and baseline of 10.6b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11713
done1713

end0.0ms

sample1.1s

Algorithm
intervals
Results
485.0ms8724×body80valid