Details

Time bar (total: 13.0s)

sample37.0ms

Algorithm
intervals
Results
15.0ms268×body80valid

simplify214.0ms

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: 1.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.6b
(* (/ (- x y) (- z y)) t)

rewrite130.0ms

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:
50.0ms
(/ (- x y) (- z y))
71.0ms
(* (/ (- x y) (- z y)) t)

series204.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (- x y) (- z y))
142.0ms
(* (/ (- x y) (- z y)) t)

simplify2.3s

Counts
112 → 112
Iterations

Useful iterations: 2 (223.0ms)

IterNodesCost
01471339
13691303
29841219
329821219
done50001219

prune323.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(/ y (- z y))
1.6b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite462.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
61×add-sqr-sqrt
48×times-frac
27×add-cube-cbrt
20×distribute-lft-out--
18×associate-*l*
14×difference-of-squares
10×associate-/r*
9×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/l*
5×pow1 flip3-- flip--
4×associate-*l/ div-inv
3×expm1-log1p-u distribute-rgt-out-- associate-*r* log1p-expm1-u add-log-exp
2×cbrt-undiv frac-2neg div-exp clear-num
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod sub-div unswap-sqr
Counts
3 → 117
Calls
3 calls:
21.0ms
(/ x (- z y))
25.0ms
(/ y (- z y))
411.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series332.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ x (- z y))
80.0ms
(/ y (- z y))
200.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify2.1s

Counts
126 → 126
Iterations

Useful iterations: 2 (222.0ms)

IterNodesCost
01801430
13601371
29131297
325061297
done50021297

prune424.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite64.0ms

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:
11.0ms
(/ t (- z y))
49.0ms
(* (- x y) (/ t (- z y)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ t (- z y))
103.0ms
(* (- x y) (/ t (- z y)))

simplify3.1s

Counts
93 → 93
Iterations

Useful iterations: 2 (184.0ms)

IterNodesCost
01341009
1298962
21104888
34477888
done5000888

prune247.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x y) t)
10.2b
(/ (* (- x y) t) (- z y))

rewrite53.0ms

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 expm1-log1p-u 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 → 55
Calls
2 calls:
22.0ms
(* (- x y) t)
29.0ms
(/ (* (- x y) t) (- z y))

series143.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* (- x y) t)
96.0ms
(/ (* (- x y) t) (- z y))

simplify1.5s

Counts
61 → 61
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
0105597
1264576
21083502
done5000502

prune147.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0913
11013
done1013

end0.0ms

sample929.0ms

Algorithm
intervals
Results
415.0ms8709×body80valid