Details

Time bar (total: 16.7s)

sample23.0ms

Algorithm
intervals
Results
9.0ms281×body80valid

simplify179.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- x y) (- z y))
1.3b
(* (/ (- x y) (- z y)) t)

rewrite101.0ms

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:
42.0ms
(/ (- x y) (- z y))
54.0ms
(* (/ (- x y) (- z y)) t)

series212.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(/ (- x y) (- z y))
133.0ms
(* (/ (- x y) (- z y)) t)

simplify2.5s

Counts
112 → 112
Iterations

Useful iterations: 2 (266.0ms)

IterNodesCost
01471339
13691303
29841219
329821219
done50001219

prune366.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
1.1b
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×*-un-lft-identity
31×associate-*l*
26×times-frac
18×add-cube-cbrt
16×add-exp-log
12×add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
9×pow1 cbrt-prod
6×prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp associate-/r/ unswap-sqr
1×flip3-- associate-*r* associate-*l/ *-commutative flip-- div-inv
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
86.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

series1.2s

Counts
4 → 12
Calls
4 calls:
303.0ms
(cbrt t)
272.0ms
(cbrt t)
277.0ms
(cbrt t)
344.0ms
(* (/ (- x y) (- z y)) (* (cbrt t) (cbrt t)))

simplify3.7s

Counts
106 → 106
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01241118
13291095
2993869
34450860
done5000860

prune449.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
10.5b
(* (- x y) (/ t (- z y)))

rewrite96.0ms

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:
16.0ms
(/ t (- z y))
75.0ms
(* (- x y) (/ t (- z y)))

series147.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ t (- z y))
100.0ms
(* (- x y) (/ t (- z y)))

simplify3.3s

Counts
93 → 93
Iterations

Useful iterations: 2 (249.0ms)

IterNodesCost
01341009
1298962
21104888
34477888
done5000888

prune261.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) t)
0.6b
(/ 1 (/ (- z y) t))
10.5b
(* (- x y) (/ 1 (/ (- z y) t)))

rewrite187.0ms

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:
32.0ms
(/ (- z y) t)
34.0ms
(/ 1 (/ (- z y) t))
103.0ms
(* (- x y) (/ 1 (/ (- z y) t)))

series283.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(/ (- z y) t)
108.0ms
(/ 1 (/ (- z y) t))
126.0ms
(* (- x y) (/ 1 (/ (- z y) t)))

simplify1.6s

Counts
250 → 250
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02963502
17082811
218262498
done50002468

prune639.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes211.0ms

Accuracy

0% (2.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample1.0s

Algorithm
intervals
Results
433.0ms8722×body80valid