Details

Time bar (total: 15.4s)

sample34.0ms

Algorithm
intervals
Results
14.0ms317×body80valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08164
114164
228164
348164
479164
5129164
6297164
7794164
82495164
done5000164

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(+ x (/ (* (- y x) z) t))
5.0b
(/ (* (- y x) z) t)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×associate-/r* times-frac associate-*r*
2×cbrt-undiv flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
28.0ms
(* (- y x) z)
12.0ms
(+ x (/ (* (- y x) z) t))
24.0ms
(/ (* (- y x) z) t)

series160.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(* (- y x) z)
50.0ms
(+ x (/ (* (- y x) z) t))
64.0ms
(/ (* (- y x) z) t)

simplify1.3s

Counts
66 → 66
Iterations

Useful iterations: 2 (304.0ms)

IterNodesCost
011013170
129212095
2150811695
done500111695

prune419.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
7.2b
(/ (- y x) (/ t z))

rewrite80.0ms

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-cbrt-cube add-exp-log div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative clear-num associate-+r- sum-log frac-2neg flip3-+ flip3-- associate-/r/ flip-+ flip-- distribute-lft-out
Counts
2 → 114
Calls
2 calls:
54.0ms
(+ x (/ (- y x) (/ t z)))
18.0ms
(/ (- y x) (/ t z))

series129.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ x (/ (- y x) (/ t z)))
72.0ms
(/ (- y x) (/ t z))

simplify1.3s

Counts
120 → 120
Iterations

Useful iterations: 2 (461.0ms)

IterNodesCost
021742159
166439718
2301338577
done500038577

prune636.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
1.0b
(* (* (* (cbrt z) (cbrt z)) (* (cbrt (- y x)) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ t (cbrt z))))
2.2b
(/ (cbrt (- y x)) (/ t (cbrt z)))

rewrite407.0ms

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
26×cbrt-div
22×pow1 associate-/r*
21×associate-*r/
19×div-inv
18×cbrt-undiv div-exp
16×frac-times
13×flip3-- pow-prod-down flip--
12×associate-*l/
8×associate-/l*
4×add-log-exp
2×pow1/3 associate-/r/ associate-/l/
1×clear-num frac-2neg associate-*l* *-commutative
Counts
4 → 487
Calls
4 calls:
1.0ms
(cbrt z)
2.0ms
(cbrt z)
327.0ms
(* (* (* (cbrt z) (cbrt z)) (* (cbrt (- y x)) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ t (cbrt z))))
23.0ms
(/ (cbrt (- y x)) (/ t (cbrt z)))

series813.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt z)
229.0ms
(cbrt z)
129.0ms
(* (* (* (cbrt z) (cbrt z)) (* (cbrt (- y x)) (cbrt (- y x)))) (/ (cbrt (- y x)) (/ t (cbrt z))))
266.0ms
(/ (cbrt (- y x)) (/ t (cbrt z)))

simplify2.2s

Counts
499 → 499
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0676317813
12455285358
done5000279732

prune2.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.8b
(* (- y x) (/ z t))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×times-frac add-cube-cbrt
7×add-cbrt-cube add-exp-log
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp cbrt-unprod flip-- unswap-sqr
1×cbrt-undiv +-commutative sum-log flip3-+ div-exp pow-prod-down associate-*r/ *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
11.0ms
(+ x (* (- y x) (/ z t)))
30.0ms
(* (- y x) (/ z t))

series87.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ x (* (- y x) (/ z t)))
47.0ms
(* (- y x) (/ z t))

simplify1.2s

Counts
55 → 55
Iterations

Useful iterations: done (1.2s)

IterNodesCost
011513541
130812154
2152211832
done500211352

prune273.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes498.0ms

Accuracy

6.2% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.8b

bsearch82.0ms

Steps
ItersRangePoint
7
1.5292588614899193e+83
2.8076592406640618e+85
1.5650533979108818e+83
8
-1.207962284467351e-36
-5.352215755330405e-41
-1.0170025935565398e-36

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
019587
127587
done27587

end0.0ms

sample1.3s

Algorithm
intervals
Results
528.0ms10608×body80valid