Details

Time bar (total: 13.3s)

sample20.0ms

Algorithm
intervals
Results
8.0ms339×body80valid

simplify5.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2249
3529
4839
51079
61299
71529
82169
94109
108949
1112889
1220159
1327209
done50009

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
5.2b
(* (- y x) (/ z t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
2.0ms
(+ x (* (- y x) (/ z t)))
14.0ms
(* (- y x) (/ z t))

series77.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (* (- y x) (/ z t)))
44.0ms
(* (- y x) (/ z t))

simplify2.1s

Counts
55 → 55
Iterations

Useful iterations: 3 (855.0ms)

IterNodesCost
0115669
1297627
21062581
34833557
done5000557

prune119.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.2b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
0.0ms
(cbrt t)
0.0ms
(cbrt t)
1.0ms
(cbrt t)
31.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series603.0ms

Counts
4 → 12
Calls
4 calls:
184.0ms
(cbrt t)
171.0ms
(cbrt t)
172.0ms
(cbrt t)
75.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify656.0ms

Counts
106 → 106
Iterations

Useful iterations: done (653.0ms)

IterNodesCost
01511411
14571355
219251035
done50011027

prune298.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.6b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.8b
(cbrt (/ z t))
10.8b
(cbrt (/ z t))
10.8b
(cbrt (/ z t))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
29×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
26×add-cube-cbrt
15×cbrt-div
9×pow1 add-exp-log frac-times
7×add-cbrt-cube
6×associate-*r/
5×associate-*l* associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
27.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
1.0ms
(cbrt (/ z t))
1.0ms
(cbrt (/ z t))
2.0ms
(cbrt (/ z t))

series306.0ms

Counts
4 → 12
Calls
4 calls:
118.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
64.0ms
(cbrt (/ z t))
65.0ms
(cbrt (/ z t))
60.0ms
(cbrt (/ z t))

simplify980.0ms

Counts
110 → 110
Iterations

Useful iterations: 3 (352.0ms)

IterNodesCost
01621383
13361296
28761187
326591162
done50001162

prune332.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1 t))
1.6b
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
10.8b
(cbrt (/ z t))
10.8b
(cbrt (/ z t))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
29×add-sqr-sqrt
28×*-un-lft-identity
27×times-frac
26×add-cube-cbrt
15×cbrt-div
9×pow1 add-exp-log frac-times
7×add-cbrt-cube
6×associate-*r/
5×associate-*l* associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 pow-prod-down prod-exp cbrt-unprod div-inv
1×associate-*r* *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
1.0ms
(cbrt (/ 1 t))
24.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
1.0ms
(cbrt (/ z t))
1.0ms
(cbrt (/ z t))

series417.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt (/ 1 t))
116.0ms
(* (- y x) (* (cbrt (/ z t)) (cbrt (/ z t))))
62.0ms
(cbrt (/ z t))
62.0ms
(cbrt (/ z t))

simplify1.0s

Counts
110 → 110
Iterations

Useful iterations: 3 (399.0ms)

IterNodesCost
02041367
14001262
210021144
329251122
done50001122

prune337.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

-53.6% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 2.2b

bsearch74.0ms

Steps
ItersRangePoint
8
-6.994196683941643e-239
-4.067333298773334e-243
-2.0780948440753943e-240
9
-5.7344741893021296e-61
-2.1671296354575485e-70
-2.8324523097038337e-70

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02646
13346
done3346

end0.0ms

sample527.0ms

Algorithm
intervals
Results
275.0ms10619×body80valid