Details

Time bar (total: 29.8s)

sample45.0ms

Algorithm
intervals
Results
19.0ms335×body80valid

simplify6.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08164
114164
223164
340164
472164
5109164
6134164
7153164
8198164
9352164
10682164
111149164
122041164
133308164
done5001164

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.9b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- z x))
8.7b
(/ (* y (- z x)) t)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-cbrt-cube add-exp-log
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp prod-exp cbrt-unprod flip-- add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
31.0ms
(* y (- z x))
23.0ms
(/ (* y (- z x)) t)

series149.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(* y (- z x))
89.0ms
(/ (* y (- z x)) t)

simplify2.8s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0949582
12448717
26758557
327608157
done50028157

prune276.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
5.0b
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
100.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

series947.0ms

Counts
4 → 12
Calls
4 calls:
295.0ms
(cbrt t)
244.0ms
(cbrt t)
246.0ms
(cbrt t)
162.0ms
(* (/ y (* (cbrt t) (cbrt t))) (/ (- z x) (cbrt t)))

simplify2.4s

Counts
116 → 116
Iterations

Useful iterations: done (2.4s)

IterNodesCost
016137522
150634523
2209833959
done500029479

prune640.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize83.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt (cbrt t))
5.4b
(* (/ (/ y (* (cbrt t) (cbrt t))) (cbrt (* (cbrt t) (cbrt t)))) (/ (- z x) (cbrt (cbrt t))))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
130×add-sqr-sqrt
124×times-frac
90×cbrt-prod
67×*-un-lft-identity
49×associate-*r* add-cube-cbrt
36×add-exp-log
32×associate-*l*
22×add-cbrt-cube
20×unswap-sqr
14×cbrt-undiv div-exp
10×prod-exp cbrt-unprod
9×distribute-lft-out-- difference-of-squares
6×pow1 div-inv
4×add-log-exp
3×pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 165
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
2.0ms
(cbrt (cbrt t))
94.0ms
(* (/ (/ y (* (cbrt t) (cbrt t))) (cbrt (* (cbrt t) (cbrt t)))) (/ (- z x) (cbrt (cbrt t))))

series1.2s

Counts
4 → 12
Calls
4 calls:
330.0ms
(cbrt t)
319.0ms
(cbrt t)
360.0ms
(cbrt (cbrt t))
142.0ms
(* (/ (/ y (* (cbrt t) (cbrt t))) (cbrt (* (cbrt t) (cbrt t)))) (/ (- z x) (cbrt (cbrt t))))

simplify3.8s

Counts
177 → 177
Iterations

Useful iterations: done (3.8s)

IterNodesCost
028895505
197090694
2362889599
done500088879

prune1.0s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize157.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (/ (cbrt (/ y (* (cbrt t) (cbrt t)))) (cbrt (cbrt (* (cbrt t) (cbrt t))))) (/ (- z x) (cbrt (cbrt t))))
7.3b
(cbrt (/ y (* (cbrt t) (cbrt t))))
7.3b
(cbrt (/ y (* (cbrt t) (cbrt t))))
7.3b
(cbrt (/ y (* (cbrt t) (cbrt t))))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
255×cbrt-prod
229×add-sqr-sqrt
223×times-frac
95×*-un-lft-identity
77×add-cube-cbrt
74×associate-*l*
49×associate-*r*
40×unswap-sqr
16×add-exp-log
12×div-inv
10×add-cbrt-cube
9×distribute-lft-out-- difference-of-squares
6×pow1
4×cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
3×cbrt-div pow1/3
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 231
Calls
4 calls:
163.0ms
(* (/ (cbrt (/ y (* (cbrt t) (cbrt t)))) (cbrt (cbrt (* (cbrt t) (cbrt t))))) (/ (- z x) (cbrt (cbrt t))))
10.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
8.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
5.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))

series1.3s

Counts
4 → 12
Calls
4 calls:
683.0ms
(* (/ (cbrt (/ y (* (cbrt t) (cbrt t)))) (cbrt (cbrt (* (cbrt t) (cbrt t))))) (/ (- z x) (cbrt (cbrt t))))
185.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
193.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))
209.0ms
(cbrt (/ y (* (cbrt t) (cbrt t))))

simplify4.1s

Counts
243 → 243
Iterations

Useful iterations: done (4.0s)

IterNodesCost
0335190109
11019184082
23190183471
done5002182911

prune2.5s

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes542.0ms

Accuracy

59.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.5b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
020666
125666
done25666

end0.0ms

sample1.1s

Algorithm
intervals
Results
557.0ms10666×body80valid