Details

Time bar (total: 20.6s)

sample28.0ms

Algorithm
intervals
Results
11.0ms343×body80valid

simplify4.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2289
3489
4799
51209
61379
71469
81639
92119
102879
113279
123719
133899
144769
155679
168169
1711459
1815699
1916529
2016549
done16549

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
8.3b
(/ (* (- y x) z) t)

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
31.0ms
(* (- y x) z)
10.0ms
(+ x (/ (* (- y x) z) t))
17.0ms
(/ (* (- y x) z) t)

series165.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* (- y x) z)
63.0ms
(+ x (/ (* (- y x) z) t))
58.0ms
(/ (* (- y x) z) t)

simplify3.1s

Counts
66 → 66
Iterations

Useful iterations: 2 (188.0ms)

IterNodesCost
0110688
1283653
2993559
34871559
done5000559

prune184.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
37.0ms
(+ x (/ (- y x) (/ t z)))
27.0ms
(/ (- y x) (/ t z))

series89.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ x (/ (- y x) (/ t z)))
49.0ms
(/ (- y x) (/ t z))

simplify1.2s

Counts
120 → 120
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02171896
15941770
218471680
done50011678

prune372.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.0b
(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (cbrt z))) (/ (cbrt (- y x)) (/ t (cbrt z))))
1.6b
(/ (cbrt (- y x)) (/ t (cbrt z)))

rewrite570.0ms

Algorithm
rewrite-expression-head
Rules
658×times-frac
408×add-sqr-sqrt *-un-lft-identity
384×cbrt-prod
318×add-cube-cbrt
181×associate-*r*
78×add-exp-log
45×distribute-lft-out-- difference-of-squares
39×prod-exp cbrt-unprod
36×add-cbrt-cube
28×associate-*l/
26×cbrt-div
22×pow1 associate-/r*
19×div-inv
18×cbrt-undiv div-exp
16×frac-times
13×flip3-- pow-prod-down flip--
8×associate-/l*
5×associate-*r/
4×add-log-exp
2×pow1/3 associate-/r/ associate-/l/
1×frac-2neg associate-*l* clear-num *-commutative
Counts
4 → 487
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
488.0ms
(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (cbrt z))) (/ (cbrt (- y x)) (/ t (cbrt z))))
29.0ms
(/ (cbrt (- y x)) (/ t (cbrt z)))

series917.0ms

Counts
4 → 12
Calls
4 calls:
336.0ms
(cbrt z)
236.0ms
(cbrt z)
105.0ms
(* (* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt z) (cbrt z))) (/ (cbrt (- y x)) (/ t (cbrt z))))
239.0ms
(/ (cbrt (- y x)) (/ t (cbrt z)))

simplify1.3s

Counts
499 → 499
Iterations

Useful iterations: done (1.2s)

IterNodesCost
067612515
1197011653
done500010940

prune2.4s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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:
8.0ms
(+ x (* (- y x) (/ z t)))
37.0ms
(* (- y x) (/ z t))

series126.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ x (* (- y x) (/ z t)))
65.0ms
(* (- y x) (/ z t))

simplify3.8s

Counts
55 → 55
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
0115669
1293627
21083581
34484557
done5001557

prune164.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes160.0ms

Accuracy

1.1% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch175.0ms

Steps
ItersRangePoint
9
-4.128450568952297e-153
-1.7550820911137718e-159
-2.343259671890846e-154
10
-1.0993416426332305e-68
-4.024269261797611e-82
-1.0386795377011904e-68

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02855
13753
done3753

end0.0ms

sample1.3s

Algorithm
intervals
Results
588.0ms10642×body80valid