Details

Time bar (total: 19.8s)

sample39.0ms

Algorithm
intervals
Results
15.0ms307×body80valid
1.0ms4×body640valid
1.0ms3×body1280valid
0.0ms3×body160valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1189
2289
3369
4399
done399

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
0.0b
(+ (* x (+ y z)) (* z 5.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
23.0ms
(* x (+ y z))
24.0ms
(+ (* x (+ y z)) (* z 5.0))

series91.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (+ y z))
49.0ms
(+ (* x (+ y z)) (* z 5.0))

simplify2.2s

Counts
42 → 42
Iterations

Useful iterations: 3 (901.0ms)

IterNodesCost
072422
1213386
2701358
32953356
done5001356

prune87.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
0.6b
(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b
(cbrt (+ (* x (+ y z)) (* z 5.0)))
0.6b
(cbrt (+ (* x (+ y z)) (* z 5.0)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
90.0ms
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
10.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
10.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
10.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))

series962.0ms

Counts
4 → 12
Calls
4 calls:
330.0ms
(* (cbrt (+ (* x (+ y z)) (* z 5.0))) (cbrt (+ (* x (+ y z)) (* z 5.0))))
177.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
219.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))
235.0ms
(cbrt (+ (* x (+ y z)) (* z 5.0)))

simplify2.2s

Counts
99 → 99
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01322470
13232313
29412133
330261878
done50001842

prune320.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

3.6b
(- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0)))
13.4b
(/ (* (cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0)))) (cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))) (* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0)))))
27.6b
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))
27.6b
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))

rewrite715.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×add-exp-log
15×flip3-- flip--
8×cbrt-prod frac-times associate-/r/ add-cbrt-cube associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
4×pow1 cbrt-undiv distribute-rgt-in distribute-lft-in associate-*r/ div-exp associate-*l/ prod-exp associate--l+ cbrt-unprod
3×difference-of-squares
2×pow1/3
1×sub-neg frac-2neg times-frac diff-log clear-num associate-/r* div-inv associate-/l*
Counts
4 → 82
Calls
4 calls:
113.0ms
(- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0)))
433.0ms
(/ (* (cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0)))) (cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))) (* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0)))))
89.0ms
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))
74.0ms
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))

series3.0s

Counts
4 → 12
Calls
4 calls:
108.0ms
(- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0)))
2.3s
(/ (* (cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0)))) (cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))) (* (cbrt (- (* x (+ y z)) (* z 5.0))) (cbrt (- (* x (+ y z)) (* z 5.0)))))
277.0ms
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))
310.0ms
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))

simplify1.5s

Counts
94 → 94
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01854668
15214212
218053312
done50003072

prune666.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

27.6b
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))
27.6b
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))
27.6b
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))
27.6b
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))

rewrite433.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp difference-of-squares
Counts
4 → 56
Calls
4 calls:
96.0ms
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))
116.0ms
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))
114.0ms
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))
104.0ms
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))

series1.1s

Counts
4 → 12
Calls
4 calls:
276.0ms
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))
298.0ms
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))
282.0ms
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))
287.0ms
(cbrt (- (* (* x (+ y z)) (* x (+ y z))) (* (* z 5.0) (* z 5.0))))

simplify3.7s

Counts
68 → 68
Iterations

Useful iterations: done (3.7s)

IterNodesCost
0822244
12182184
27931852
344791748
done50021732

prune547.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes176.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1129
done129

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.0s9780×body80valid
32.0ms132×body1280valid
20.0ms112×body640valid
9.0ms66×body320valid
4.0ms38×body160valid