Details

Time bar (total: 13.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms332×body80valid

simplify5.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1149
2289
3479
4779
51019
61219
71289
81419
91829
102689
113969
124279
134649
145159
156039
168249
1711019
1816439
1921199
2021729
done21729

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.2b
(/ (* (- y x) z) t)

rewrite22.0ms

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:
5.0ms
(+ x (/ (* (- y x) z) t))
10.0ms
(* (- y x) z)
6.0ms
(/ (* (- y x) z) t)

series107.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (/ (* (- y x) z) t))
28.0ms
(* (- y x) z)
45.0ms
(/ (* (- y x) z) t)

simplify973.0ms

Counts
66 → 66
Iterations

Useful iterations: 2 (105.0ms)

IterNodesCost
0110688
1284653
2934559
done5001559

prune135.0ms

Pruning

6 alts after pruning (6 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)))
5.7b
(/ (- y x) (/ t z))

rewrite44.0ms

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:
27.0ms
(+ x (/ (- y x) (/ t z)))
10.0ms
(/ (- y x) (/ t z))

series80.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ x (/ (- y x) (/ t z)))
46.0ms
(/ (- y x) (/ t z))

simplify702.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (271.0ms)

IterNodesCost
02171896
16071770
217731680
done50001680

prune283.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:
2.0ms
(+ x (* (- y x) (/ z t)))
15.0ms
(* (- y x) (/ z t))

series81.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(+ x (* (- y x) (/ z t)))
46.0ms
(* (- y x) (/ z t))

simplify2.6s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.1s)

IterNodesCost
0115669
1297627
21058581
34931557
done5000557

prune129.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y x))
0.5b
(cbrt (- y x))
1.9b
(* (cbrt (- y x)) (/ z t))
4.1b
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
116×cbrt-div
84×frac-times
58×flip3-- flip--
40×associate-*l/
31×add-sqr-sqrt
30×add-exp-log
27×associate-*r/
21×*-un-lft-identity
18×pow1 add-cbrt-cube
17×cbrt-prod
15×add-cube-cbrt prod-exp cbrt-unprod
14×associate-*r*
11×times-frac
9×associate-*l* pow-prod-down
4×add-log-exp unswap-sqr
3×cbrt-undiv div-exp distribute-lft-out-- difference-of-squares
2×pow1/3 *-commutative
1×div-inv
Counts
4 → 152
Calls
4 calls:
2.0ms
(cbrt (- y x))
2.0ms
(cbrt (- y x))
16.0ms
(* (cbrt (- y x)) (/ z t))
48.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

series524.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- y x))
147.0ms
(cbrt (- y x))
190.0ms
(* (cbrt (- y x)) (/ z t))
42.0ms
(* (* (cbrt (- y x)) (cbrt (- y x))) (* (cbrt (- y x)) (/ z t)))

simplify773.0ms

Counts
164 → 164
Iterations

Useful iterations: 2 (330.0ms)

IterNodesCost
02763800
17633651
220623249
done50003249

prune428.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (2.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample557.0ms

Algorithm
intervals
Results
287.0ms10666×body80valid