Details

Time bar (total: 15.6s)

sample25.0ms

Algorithm
intervals
Results
12.0ms274×body80valid

simplify210.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4709
51009
61179
71329
81429
91479
done1479

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
2.3b
(* (/ (- x y) (- z y)) t)

rewrite146.0ms

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:
48.0ms
(/ (- x y) (- z y))
93.0ms
(* (/ (- x y) (- z y)) t)

series211.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(/ (- x y) (- z y))
146.0ms
(* (/ (- x y) (- z y)) t)

simplify2.9s

Counts
108 → 108
Iterations

Useful iterations: 2 (251.0ms)

IterNodesCost
01431303
13601269
29631185
328881185
done50001185

prune277.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
8.8b
(* (- x y) (/ t (- z y)))

rewrite91.0ms

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:
17.0ms
(/ t (- z y))
67.0ms
(* (- x y) (/ t (- z y)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ t (- z y))
96.0ms
(* (- x y) (/ t (- z y)))

simplify3.4s

Counts
89 → 89
Iterations

Useful iterations: 2 (143.0ms)

IterNodesCost
0130977
1290931
21085857
34338857
done5000857

prune248.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z y))
0.5b
(cbrt (- z y))
0.6b
(* (cbrt (- z y)) (cbrt (- z y)))
8.8b
(* (- x y) (/ (/ t (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))))

rewrite329.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
134×associate-*r*
128×add-sqr-sqrt
115×cbrt-prod
114×cbrt-div
112×*-un-lft-identity
66×associate-/r/
62×add-cube-cbrt
59×flip3-- flip--
38×frac-times
24×distribute-lft-out--
22×difference-of-squares
20×add-exp-log associate-*l/
19×associate-*r/
13×pow1 associate-*l* add-cbrt-cube
10×swap-sqr
9×div-inv unswap-sqr
8×pow1/3
6×prod-exp cbrt-unprod
5×cbrt-undiv div-exp
4×add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 244
Calls
4 calls:
11.0ms
(cbrt (- z y))
7.0ms
(cbrt (- z y))
71.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
203.0ms
(* (- x y) (/ (/ t (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))))

series626.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(cbrt (- z y))
184.0ms
(cbrt (- z y))
187.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
92.0ms
(* (- x y) (/ (/ t (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))))

simplify2.1s

Counts
256 → 256
Iterations

Useful iterations: done (2.1s)

IterNodesCost
04395097
110924848
240694397
done50004257

prune994.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) t)
1.1b
(/ 1 (/ (- z y) t))
8.8b
(* (- x y) (/ 1 (/ (- z y) t)))

rewrite194.0ms

Algorithm
rewrite-expression-head
Rules
240×times-frac
183×add-sqr-sqrt
171×*-un-lft-identity
117×add-cube-cbrt
62×associate-*r*
35×add-exp-log
26×distribute-lft-out-- difference-of-squares
22×associate-/r*
19×add-cbrt-cube
15×div-exp
10×div-inv
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×associate-*l* unswap-sqr
4×rec-exp 1-exp
3×flip3-- flip-- cbrt-unprod add-log-exp
2×frac-times frac-2neg associate-*l/ clear-num associate-/r/ associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 235
Calls
3 calls:
29.0ms
(/ (- z y) t)
36.0ms
(/ 1 (/ (- z y) t))
104.0ms
(* (- x y) (/ 1 (/ (- z y) t)))

series314.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(/ (- z y) t)
130.0ms
(/ 1 (/ (- z y) t))
153.0ms
(* (- x y) (/ 1 (/ (- z y) t)))

simplify1.5s

Counts
244 → 244
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02903450
16972765
218012456
done50002426

prune671.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes247.0ms

Accuracy

33.4% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01849
12439
done2439

end0.0ms

sample877.0ms

Algorithm
intervals
Results
545.0ms8698×body80valid