Details

Time bar (total: 16.4s)

sample42.0ms

Algorithm
intervals
Results
16.0ms273×body80valid

simplify4.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11711
23511
36011
49611
514811
625911
743011
880411
9187511
10496111
done500111

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.9b

localize9.0ms

Local error

Found 1 expressions with local error:

9.6b
(/ (* (- y z) t) (- a z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
5×times-frac associate-/r*
3×add-cube-cbrt
2×cbrt-undiv flip3-- div-exp associate-*l/ associate-/r/ flip-- associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 29
Calls
1 calls:
25.0ms
(/ (* (- y z) t) (- a z))

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(/ (* (- y z) t) (- a z))

simplify734.0ms

Counts
32 → 32
Iterations

Useful iterations: done (733.0ms)

IterNodesCost
075380
1212367
21101317
done5001313

prune94.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a z))
0.5b
(cbrt (- a z))
0.6b
(* (cbrt (- a z)) (cbrt (- a z)))
3.0b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
57×*-un-lft-identity
55×cbrt-prod
38×associate-*r*
36×times-frac
31×add-cube-cbrt
30×cbrt-div
27×add-exp-log
25×associate-*l*
18×add-cbrt-cube
15×flip3-- flip--
13×pow1
12×distribute-lft-out--
10×swap-sqr associate-/r/ difference-of-squares unswap-sqr
9×frac-times prod-exp cbrt-unprod
8×pow1/3
7×cbrt-undiv div-exp
5×associate-*r/ associate-*l/
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up div-inv
1×pow2 pow-plus
Counts
4 → 163
Calls
4 calls:
4.0ms
(cbrt (- a z))
4.0ms
(cbrt (- a z))
53.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
161.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

series681.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt (- a z))
181.0ms
(cbrt (- a z))
175.0ms
(* (cbrt (- a z)) (cbrt (- a z)))
117.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ t (cbrt (- a z))))

simplify1.8s

Counts
175 → 175
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02633146
17402971
240212569
done50012469

prune655.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
0.6b
(* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt t) (cbrt (cbrt (- a z)))))

rewrite722.0ms

Algorithm
rewrite-expression-head
Rules
144×add-exp-log
120×cbrt-prod
88×associate-*r*
82×times-frac
75×add-sqr-sqrt
70×add-cbrt-cube
65×*-un-lft-identity prod-exp cbrt-unprod
51×add-cube-cbrt
46×cbrt-undiv div-exp
36×cbrt-div
18×associate-*l* associate-/r/
14×frac-times
13×flip3-- flip--
11×pow1
10×associate-*l/
8×associate-*r/
7×distribute-lft-out-- difference-of-squares
6×unswap-sqr
4×pow-prod-down add-log-exp
3×div-inv
2×pow1/3 *-commutative
Counts
4 → 221
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
207.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
497.0ms
(* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt t) (cbrt (cbrt (- a z)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
246.0ms
(cbrt t)
278.0ms
(cbrt t)
408.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
153.0ms
(* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt t) (cbrt t)) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt t) (cbrt (cbrt (- a z)))))

simplify647.0ms

Counts
233 → 233
Iterations

Useful iterations: done (638.0ms)

IterNodesCost
04449153
114688889
done50007468

prune1.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- a z))
11.0b
(* (- y z) (/ t (- a z)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
20.0ms
(/ t (- a z))
50.0ms
(* (- y z) (/ t (- a z)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ t (- a z))
87.0ms
(* (- y z) (/ t (- a z)))

simplify1.0s

Counts
89 → 89
Iterations

Useful iterations: done (1.0s)

IterNodesCost
0130977
1317937
21656865
done5000857

prune322.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes251.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01941
12241
done2241

end0.0ms

sample1.4s

Algorithm
intervals
Results
511.0ms8725×body80valid
0.0ms1×body320valid
0.0ms1×body640valid
0.0ms1×body160valid