Details

Time bar (total: 22.8s)

sample56.0ms

Algorithm
intervals
Results
25.0ms278×body80valid

simplify379.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1179
2259
3499
4779
51099
61389
71559
81709
91779
101839
111859
done1859

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.4b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite139.0ms

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:
41.0ms
(/ (- x y) (- z y))
89.0ms
(* (/ (- x y) (- z y)) t)

series290.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(/ (- x y) (- z y))
189.0ms
(* (/ (- x y) (- z y)) t)

simplify1.4s

Counts
112 → 112
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01471339
13811303
214761225
done50011219

prune764.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.1b
(* (- x y) (/ 1 (- z y)))
2.3b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv expm1-log1p-u rec-exp 1-exp log1p-expm1-u associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 125
Calls
3 calls:
22.0ms
(/ 1 (- z y))
100.0ms
(* (- x y) (/ 1 (- z y)))
144.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series367.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(/ 1 (- z y))
95.0ms
(* (- x y) (/ 1 (- z y)))
204.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify11.2s

Counts
134 → 134
Iterations

Useful iterations: done (11.2s)

IterNodesCost
01671517
14281338
238441089
done50011079

prune755.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
9.4b
(* (- x y) (/ t (- z y)))

rewrite126.0ms

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)))

series185.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(/ t (- z y))
120.0ms
(* (- x y) (/ t (- z y)))

simplify2.2s

Counts
93 → 93
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01341009
1325968
21682896
done5001888

prune643.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(* t (- x y))
13.3b
(/ (* t (- x y)) (- z y))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
24×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
9×add-exp-log add-cbrt-cube
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 77
Calls
2 calls:
44.0ms
(* t (- x y))
58.0ms
(/ (* t (- x y)) (- z y))

series204.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(* t (- x y))
135.0ms
(/ (* t (- x y)) (- z y))

simplify1.4s

Counts
83 → 83
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01571123
1398942
21623778
done5001748

prune399.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes577.0ms

Accuracy

0% (2.3b 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
done89

end0.0ms

sample1.2s

Algorithm
intervals
Results
483.0ms8719×body80valid