Details

Time bar (total: 7.6s)

sample18.0ms

Algorithm
intervals
Results
7.0ms284×body80valid

simplify1.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
089
1179
2249
3489
4719
5969
61139
71299
81409
91479
101529
111729
122399
132639
142899
153609
163929
174689
185669
195859
205899
done5899

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
0.9b
(* (/ (- x y) (- z y)) t)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
13.0ms
(/ (- x y) (- z y))
25.0ms
(* (/ (- x y) (- z y)) t)

series142.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (- x y) (- z y))
96.0ms
(* (/ (- x y) (- z y)) t)

simplify1.7s

Counts
108 → 108
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01431303
13641269
210991185
341631185
done50011183

prune219.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.5b
(* (cbrt (- z y)) (cbrt (- z y)))
7.1b
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
84×add-exp-log
45×prod-exp
38×cbrt-prod
36×add-sqr-sqrt
34×*-un-lft-identity
31×add-cbrt-cube
28×cbrt-div
23×associate-*l*
19×div-exp cbrt-unprod
16×pow1 add-cube-cbrt
14×flip3-- flip--
10×swap-sqr
9×cbrt-undiv frac-times associate-*r*
8×pow1/3 associate-/r/ distribute-lft-out--
7×associate-*l/
6×rec-exp 1-exp difference-of-squares
5×associate-*r/ pow-prod-down
4×add-log-exp unswap-sqr
3×times-frac
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus div-inv
Counts
4 → 145
Calls
4 calls:
2.0ms
(cbrt (- z y))
2.0ms
(cbrt (- z y))
23.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
87.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

series590.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (- z y))
153.0ms
(cbrt (- z y))
125.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
156.0ms
(* (/ 1 (* (cbrt (- z y)) (cbrt (- z y)))) (* (/ (- x y) (cbrt (- z y))) t))

simplify1.2s

Counts
157 → 157
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02312931
16172655
226751975
done50011967

prune378.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
10.3b
(* (- x y) (/ t (- z y)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
9.0ms
(/ t (- z y))
23.0ms
(* (- x y) (/ t (- z y)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ t (- z y))
61.0ms
(* (- x y) (/ t (- z y)))

simplify485.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
0130977
1299931
21262857
done5000857

prune175.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x y) t)
10.1b
(/ (* (- x y) t) (- z y))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*l* associate-/r*
4×pow1 associate-*l/
3×flip3-- associate-*r* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 51
Calls
2 calls:
10.0ms
(* (- x y) t)
10.0ms
(/ (* (- x y) t) (- z y))

series92.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (- x y) t)
65.0ms
(/ (* (- x y) t) (- z y))

simplify602.0ms

Counts
57 → 57
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0101565
1262545
21124471
done5000471

prune105.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes123.0ms

Accuracy

0% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample446.0ms

Algorithm
intervals
Results
224.0ms8683×body80valid