Details

Time bar (total: 13.2s)

sample38.0ms

Algorithm
intervals
Results
15.0ms346×body80valid

simplify2.3s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2259
3459
4889
51459
62019
73869
89199
931169
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
6.6b
(/ (* y (- z x)) t)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv associate-*r/ div-exp associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 35
Calls
2 calls:
13.0ms
(+ x (/ (* y (- z x)) t))
33.0ms
(/ (* y (- z x)) t)

series121.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ x (/ (* y (- z x)) t))
69.0ms
(/ (* y (- z x)) t)

simplify851.0ms

Counts
41 → 41
Iterations

Useful iterations: done (849.0ms)

IterNodesCost
084505
1242473
21003427
done5001403

prune117.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
54.0ms
(+ x (/ y (/ t (- z x))))
14.0ms
(/ t (- z x))
41.0ms
(/ y (/ t (- z x)))

series180.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ x (/ y (/ t (- z x))))
40.0ms
(/ t (- z x))
73.0ms
(/ y (/ t (- z x)))

simplify1.7s

Counts
160 → 160
Iterations

Useful iterations: 2 (430.0ms)

IterNodesCost
02422291
16222158
228952056
done50022056

prune709.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite340.0ms

Algorithm
rewrite-expression-head
Rules
331×times-frac
222×add-sqr-sqrt
186×*-un-lft-identity
179×cbrt-prod
167×associate-*r*
150×add-cube-cbrt
73×add-exp-log
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
18×distribute-lft-out-- difference-of-squares
12×unswap-sqr
7×associate-/r/
6×pow1 cbrt-div
5×associate-*l* div-inv
4×add-log-exp
3×flip3-- pow1/3 flip--
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 259
Calls
4 calls:
2.0ms
(cbrt t)
2.0ms
(cbrt t)
2.0ms
(cbrt t)
290.0ms
(* (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))) (/ y (/ (cbrt t) (cbrt (- z x)))))

series980.0ms

Counts
4 → 12
Calls
4 calls:
312.0ms
(cbrt t)
215.0ms
(cbrt t)
329.0ms
(cbrt t)
124.0ms
(* (/ (* (cbrt (- z x)) (cbrt (- z x))) (* (cbrt t) (cbrt t))) (/ y (/ (cbrt t) (cbrt (- z x)))))

simplify1.2s

Counts
271 → 271
Iterations

Useful iterations: done (1.2s)

IterNodesCost
05017434
119297002
done50016406

prune1.3s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y t) (- z x)))
5.8b
(* (/ y t) (- z x))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
13.0ms
(+ x (* (/ y t) (- z x)))
63.0ms
(* (/ y t) (- z x))

series109.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(+ x (* (/ y t) (- z x)))
68.0ms
(* (/ y t) (- z x))

simplify1.1s

Counts
63 → 63
Iterations

Useful iterations: 2 (246.0ms)

IterNodesCost
0120723
1323691
21434643
done5000643

prune208.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes229.0ms

Accuracy

46.3% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.6b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01751
12443
done2443

end0.0ms

sample1.4s

Algorithm
intervals
Results
585.0ms10742×body80valid