Details

Time bar (total: 12.3s)

sample37.0ms

Algorithm
intervals
Results
14.0ms340×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2289
3489
4799
51299
62979
78239
826799
done50019

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
5.9b
(/ (* (- y x) z) t)

rewrite56.0ms

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:
13.0ms
(+ x (/ (* (- y x) z) t))
22.0ms
(* (- y x) z)
19.0ms
(/ (* (- y x) z) t)

series154.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ x (/ (* (- y x) z) t))
45.0ms
(* (- y x) z)
58.0ms
(/ (* (- y x) z) t)

simplify1.3s

Counts
66 → 66
Iterations

Useful iterations: 2 (176.0ms)

IterNodesCost
0110688
1292653
21514583
done5002583

prune291.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
7.6b
(/ (- y x) (/ t z))

rewrite88.0ms

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:
57.0ms
(+ x (/ (- y x) (/ t z)))
23.0ms
(/ (- y x) (/ t z))

series111.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ x (/ (- y x) (/ t z)))
62.0ms
(/ (- y x) (/ t z))

simplify1.3s

Counts
120 → 120
Iterations

Useful iterations: 2 (403.0ms)

IterNodesCost
02171896
16641792
230141704
done50001704

prune602.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
7.1b
(* (- y x) (/ z t))

rewrite45.0ms

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:
11.0ms
(+ x (* (- y x) (/ z t)))
32.0ms
(* (- y x) (/ z t))

series98.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ x (* (- y x) (/ z t)))
50.0ms
(* (- y x) (/ z t))

simplify991.0ms

Counts
55 → 55
Iterations

Useful iterations: done (989.0ms)

IterNodesCost
0115669
1308631
21520581
done5000557

prune254.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

1.1b
(* (/ 1 (* (cbrt (/ t z)) (cbrt (/ t z)))) (/ (- y x) (cbrt (/ t z))))
11.6b
(cbrt (/ t z))
11.6b
(cbrt (/ t z))
11.6b
(cbrt (/ t z))

rewrite188.0ms

Algorithm
rewrite-expression-head
Rules
175×times-frac
148×add-sqr-sqrt
120×*-un-lft-identity
110×cbrt-prod
85×associate-*r*
84×add-cube-cbrt
49×add-exp-log
20×prod-exp
18×add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
15×div-exp
12×unswap-sqr
10×associate-*l* div-inv
8×cbrt-div cbrt-unprod
7×cbrt-undiv
6×pow1
4×rec-exp 1-exp associate-/r/ add-log-exp
3×pow1/3
2×frac-times associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 205
Calls
4 calls:
163.0ms
(* (/ 1 (* (cbrt (/ t z)) (cbrt (/ t z)))) (/ (- y x) (cbrt (/ t z))))
2.0ms
(cbrt (/ t z))
3.0ms
(cbrt (/ t z))
4.0ms
(cbrt (/ t z))

series342.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (/ 1 (* (cbrt (/ t z)) (cbrt (/ t z)))) (/ (- y x) (cbrt (/ t z))))
87.0ms
(cbrt (/ t z))
79.0ms
(cbrt (/ t z))
90.0ms
(cbrt (/ t z))

simplify612.0ms

Counts
217 → 217
Iterations

Useful iterations: done (603.0ms)

IterNodesCost
03114231
19563981
done50003555

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes339.0ms

Accuracy

22.3% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.8b

bsearch93.0ms

Steps
ItersRangePoint
8
16190222112.523125
453861013356227.3
24589954643.815292
10
-2.45348323847628e+34
-1.1941517926520358e+22
-2.8014498345109495e+22

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02441
13241
done3241

end0.0ms

sample1.5s

Algorithm
intervals
Results
536.0ms10666×body80valid