Details

Time bar (total: 13.2s)

sample21.0ms

Algorithm
intervals
Results
11.0ms262×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
2177
done177

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize8.0ms

Local error

Found 1 expressions with local error:

3.9b
(/ x (- y (* z t)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
17.0ms
(/ x (- y (* z t)))

series70.0ms

Counts
1 → 3
Calls
1 calls:
70.0ms
(/ x (- y (* z t)))

simplify2.5s

Counts
32 → 32
Iterations

Useful iterations: 4 (1.0s)

IterNodesCost
063378
1133369
2334341
3823341
42104340
done5001340

prune110.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 3.9b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(/ (- y (* z t)) (cbrt x))
2.5b
(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
47×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
36×cbrt-prod
28×associate-/r*
18×add-exp-log
11×add-cbrt-cube
7×cbrt-undiv div-exp
4×pow1 div-inv associate-/l* add-log-exp
2×frac-2neg pow1/3 prod-exp clear-num cbrt-unprod associate-/l/
1×flip3-- div-sub associate-/r/ flip--
Counts
4 → 128
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
15.0ms
(/ (- y (* z t)) (cbrt x))
34.0ms
(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))

series990.0ms

Counts
4 → 12
Calls
4 calls:
322.0ms
(cbrt x)
337.0ms
(cbrt x)
244.0ms
(/ (- y (* z t)) (cbrt x))
87.0ms
(/ (* (cbrt x) (cbrt x)) (/ (- y (* z t)) (cbrt x)))

simplify1.7s

Counts
140 → 140
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01862165
14512054
218321763
done50001699

prune450.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 3.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.5b
(/ (* (cbrt x) (cbrt x)) (- (/ y (cbrt x)) (/ (* z t) (cbrt x))))
2.8b
(/ (* z t) (cbrt x))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
18×times-frac
16×*-un-lft-identity
14×add-exp-log cbrt-prod associate-/r*
12×add-cube-cbrt
10×add-cbrt-cube
6×div-inv difference-of-squares
4×pow1 cbrt-undiv div-exp associate-/r/ add-log-exp
2×distribute-rgt-out-- frac-2neg pow1/3 prod-exp clear-num cbrt-unprod associate-/l* distribute-lft-out--
1×flip3-- frac-sub flip-- sub-div
Counts
4 → 84
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
102.0ms
(/ (* (cbrt x) (cbrt x)) (- (/ y (cbrt x)) (/ (* z t) (cbrt x))))
17.0ms
(/ (* z t) (cbrt x))

series1.1s

Counts
4 → 12
Calls
4 calls:
295.0ms
(cbrt x)
316.0ms
(cbrt x)
317.0ms
(/ (* (cbrt x) (cbrt x)) (- (/ y (cbrt x)) (/ (* z t) (cbrt x))))
136.0ms
(/ (* z t) (cbrt x))

simplify1.0s

Counts
96 → 96
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01541212
13451161
21141889
done5001819

prune304.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
2.5b
(/ (* (cbrt x) (cbrt x)) (- (/ y (cbrt x)) (* (/ z (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ t (cbrt (cbrt x))))))
2.9b
(* (/ z (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ t (cbrt (cbrt x))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
43×times-frac
39×cbrt-prod
31×associate-*r*
30×add-exp-log
29×add-cube-cbrt *-un-lft-identity
21×add-cbrt-cube
9×cbrt-undiv div-exp prod-exp cbrt-unprod
8×unswap-sqr
7×associate-*l*
6×pow1
5×associate-/r/
4×add-log-exp
3×associate-/r* frac-sub div-inv
2×frac-times pow1/3 associate-*r/ associate-*l/
1×flip3-- frac-2neg pow-prod-down clear-num *-commutative flip-- associate-/l*
Counts
4 → 118
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
40.0ms
(/ (* (cbrt x) (cbrt x)) (- (/ y (cbrt x)) (* (/ z (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ t (cbrt (cbrt x))))))
67.0ms
(* (/ z (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ t (cbrt (cbrt x))))

series932.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(cbrt x)
277.0ms
(cbrt x)
279.0ms
(/ (* (cbrt x) (cbrt x)) (- (/ y (cbrt x)) (* (/ z (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ t (cbrt (cbrt x))))))
122.0ms
(* (/ z (* (cbrt (cbrt x)) (cbrt (cbrt x)))) (/ t (cbrt (cbrt x))))

simplify1.9s

Counts
130 → 130
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02352551
16632442
226551820
done50001635

prune493.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 2.2b

regimes455.0ms

Accuracy

82.4% (0.3b remaining)

Error of 1.8b against oracle of 1.5b and baseline of 3.0b

bsearch2.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
03688
14088
done4088

end0.0ms

sample866.0ms

Algorithm
intervals
Results
434.0ms8371×body80valid