Details

Time bar (total: 15.8s)

sample21.0ms

Algorithm
intervals
Results
10.0ms274×body80valid

simplify186.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4769
51089
61339
71489
81619
91669
done1669

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite136.0ms

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 expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 106
Calls
2 calls:
38.0ms
(/ (- x y) (- z y))
93.0ms
(* (/ (- x y) (- z y)) t)

series168.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- x y) (- z y))
112.0ms
(* (/ (- x y) (- z y)) t)

simplify2.6s

Counts
112 → 112
Iterations

Useful iterations: 2 (241.0ms)

IterNodesCost
01471339
13691303
29841219
329821219
done50001219

prune377.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite123.0ms

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 expm1-log1p-u frac-times div-exp associate-*l/ prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 87
Calls
2 calls:
23.0ms
(/ t (- z y))
92.0ms
(* (- x y) (/ t (- z y)))

series155.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ t (- z y))
114.0ms
(* (- x y) (/ t (- z y)))

simplify3.3s

Counts
93 → 93
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
01341009
1298962
21104888
34477888
done5000888

prune327.0ms

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))))

rewrite304.0ms

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×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-prod-down
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 252
Calls
4 calls:
7.0ms
(cbrt (- z y))
4.0ms
(cbrt (- z y))
57.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
207.0ms
(* (- x y) (/ (/ t (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))))

series804.0ms

Counts
4 → 12
Calls
4 calls:
217.0ms
(cbrt (- z y))
249.0ms
(cbrt (- z y))
229.0ms
(* (cbrt (- z y)) (cbrt (- z y)))
109.0ms
(* (- x y) (/ (/ t (* (cbrt (- z y)) (cbrt (- z y)))) (cbrt (- z y))))

simplify2.2s

Counts
264 → 264
Iterations

Useful iterations: done (2.2s)

IterNodesCost
04455179
111074920
241124453
done50024303

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite216.0ms

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×expm1-log1p-u flip3-- flip-- cbrt-unprod log1p-expm1-u 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 → 241
Calls
3 calls:
34.0ms
(/ (- z y) t)
30.0ms
(/ 1 (/ (- z y) t))
129.0ms
(* (- x y) (/ 1 (/ (- z y) t)))

series287.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(/ (- z y) t)
114.0ms
(/ 1 (/ (- z y) t))
143.0ms
(* (- x y) (/ 1 (/ (- z y) t)))

simplify1.5s

Counts
250 → 250
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02963502
17082811
218262498
done50002468

prune685.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes266.0ms

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

sample903.0ms

Algorithm
intervals
Results
507.0ms8698×body80valid