Details

Time bar (total: 9.9s)

sample16.0ms

Algorithm
intervals
Results
6.0ms266×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
077
1107
2177
done177

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite7.0ms

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×associate-/r* associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
2.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series64.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(- y (* z t))
36.0ms
(/ x (- y (* z t)))

simplify1.8s

Counts
47 → 47
Iterations

Useful iterations: 4 (737.0ms)

IterNodesCost
074506
1156492
2413454
31217454
43501453
done5001453

prune114.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 3.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* t z))
0.8b
(/ 1 (/ (- y (* t z)) x))
2.9b
(/ (- y (* t z)) x)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
8×div-exp
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 118
Calls
3 calls:
2.0ms
(- y (* t z))
7.0ms
(/ 1 (/ (- y (* t z)) x))
8.0ms
(/ (- y (* t z)) x)

series181.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(- y (* t z))
106.0ms
(/ 1 (/ (- y (* t z)) x))
42.0ms
(/ (- y (* t z)) x)

simplify1.7s

Counts
127 → 127
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01711898
14051669
210871484
333211466
done50001464

prune206.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 3.1b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* t z))
0.3b
(/ 1 (- y (* t z)))
3.2b
(/ (/ 1 (- y (* t z))) (/ 1 x))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
474×times-frac
221×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
47×add-exp-log
34×div-exp
32×div-inv
31×associate-/r/
18×associate-/l*
17×add-cbrt-cube
16×flip3-- associate-/r* flip--
9×cbrt-undiv rec-exp 1-exp
5×add-log-exp
4×pow1
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 300
Calls
3 calls:
2.0ms
(- y (* t z))
5.0ms
(/ 1 (- y (* t z)))
16.0ms
(/ (/ 1 (- y (* t z))) (/ 1 x))

series189.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- y (* t z))
47.0ms
(/ 1 (- y (* t z)))
111.0ms
(/ (/ 1 (- y (* t z))) (/ 1 x))

simplify1.7s

Counts
309 → 309
Iterations

Useful iterations: done (1.7s)

IterNodesCost
04537191
113605588
227154948
done50004894

prune288.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 3.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b
(* (* (cbrt (/ 1 (- y (* t z)))) (cbrt (/ 1 (- y (* t z))))) (* x (cbrt (/ 1 (- y (* t z))))))
6.9b
(cbrt (/ 1 (- y (* t z))))
6.9b
(cbrt (/ 1 (- y (* t z))))
6.9b
(cbrt (/ 1 (- y (* t z))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×pow1 add-exp-log
15×cbrt-div
10×add-cbrt-cube
8×pow-prod-down prod-exp cbrt-unprod
7×associate-*r/
6×associate-/r/
5×frac-times associate-*l/
4×add-log-exp
3×flip3-- pow1/3 flip-- div-inv
1×associate-*r* associate-*l* *-commutative
Counts
4 → 101
Calls
4 calls:
48.0ms
(* (* (cbrt (/ 1 (- y (* t z)))) (cbrt (/ 1 (- y (* t z))))) (* x (cbrt (/ 1 (- y (* t z))))))
3.0ms
(cbrt (/ 1 (- y (* t z))))
3.0ms
(cbrt (/ 1 (- y (* t z))))
3.0ms
(cbrt (/ 1 (- y (* t z))))

series483.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(* (* (cbrt (/ 1 (- y (* t z)))) (cbrt (/ 1 (- y (* t z))))) (* x (cbrt (/ 1 (- y (* t z))))))
119.0ms
(cbrt (/ 1 (- y (* t z))))
114.0ms
(cbrt (/ 1 (- y (* t z))))
115.0ms
(cbrt (/ 1 (- y (* t z))))

simplify2.1s

Counts
113 → 113
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
01542362
13542179
210381691
338891522
done50001522

prune231.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 3.1b

regimes178.0ms

Accuracy

0% (0.1b remaining)

Error of 2.9b against oracle of 2.9b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample411.0ms

Algorithm
intervals
Results
202.0ms8394×body80valid