Details

Time bar (total: 11.4s)

sample33.0ms

Algorithm
intervals
Results
15.0ms352×body80valid

simplify2.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2289
3489
4799
51299
62979
78239
826799
done50019

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

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:
35.0ms
(* (- y x) z)
15.0ms
(+ x (/ (* (- y x) z) t))
31.0ms
(/ (* (- y x) z) t)

series148.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* (- y x) z)
50.0ms
(+ x (/ (* (- y x) z) t))
61.0ms
(/ (* (- y x) z) t)

simplify1.2s

Counts
66 → 66
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
0110688
1292653
21514583
done5001583

prune187.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
6.7b
(/ (- y x) (/ t z))

rewrite83.0ms

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:
45.0ms
(+ x (/ (- y x) (/ t z)))
28.0ms
(/ (- y x) (/ t z))

series122.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(+ x (/ (- y x) (/ t z)))
73.0ms
(/ (- y x) (/ t z))

simplify1.3s

Counts
120 → 120
Iterations

Useful iterations: 2 (410.0ms)

IterNodesCost
02171896
16641792
230141704
done50001704

prune368.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.4b
(/ 1 (/ (/ t z) (- y x)))
6.7b
(/ (/ t z) (- y x))

rewrite210.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
109.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
30.0ms
(/ 1 (/ (/ t z) (- y x)))
23.0ms
(/ (/ t z) (- y x))

series175.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
68.0ms
(/ 1 (/ (/ t z) (- y x)))
49.0ms
(/ (/ t z) (- y x))

simplify1.2s

Counts
434 → 434
Iterations

Useful iterations: done (1.2s)

IterNodesCost
05758555
116627415
done50007093

prune848.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.4b
(* (- y x) (/ z t))

rewrite60.0ms

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:
12.0ms
(+ x (* (- y x) (/ z t)))
46.0ms
(* (- y x) (/ z t))

series131.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ x (* (- y x) (/ z t)))
69.0ms
(* (- y x) (/ z t))

simplify1.1s

Counts
55 → 55
Iterations

Useful iterations: done (1.1s)

IterNodesCost
0115669
1308631
21520581
done5000557

prune152.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes159.0ms

Accuracy

0% (2.1b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11311
done1311

end0.0ms

sample1.2s

Algorithm
intervals
Results
509.0ms10680×body80valid