Details

Time bar (total: 13.7s)

sample23.0ms

Algorithm
intervals
Results
9.0ms278×body80valid

simplify163.0ms

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: 2.7b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ (- x y) (- z y))
2.6b
(* (/ (- x y) (- z y)) t)

rewrite90.0ms

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:
35.0ms
(/ (- x y) (- z y))
49.0ms
(* (/ (- x y) (- z y)) t)

series197.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ (- x y) (- z y))
120.0ms
(* (/ (- x y) (- z y)) t)

simplify2.1s

Counts
112 → 112
Iterations

Useful iterations: 2 (214.0ms)

IterNodesCost
01471339
13691303
29841219
329821219
done50001219

prune326.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (- z y))
0.0b
(- (/ x (- z y)) (/ y (- z y)))
0.0b
(/ y (- z y))
2.6b
(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite583.0ms

Algorithm
rewrite-expression-head
Rules
743×*-un-lft-identity
725×add-sqr-sqrt
711×times-frac
441×prod-diff
417×add-cube-cbrt
161×distribute-lft-out--
149×difference-of-squares
98×associate-/r/
51×flip3-- flip--
49×div-inv
21×fma-neg
18×associate-*l*
10×add-exp-log associate-/r* add-cbrt-cube
6×pow1 distribute-rgt-out-- associate-/l* add-log-exp
4×expm1-log1p-u associate-*l/ log1p-expm1-u
3×associate-*r*
2×cbrt-undiv frac-2neg div-exp clear-num frac-sub sub-div
1×sub-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 610
Calls
4 calls:
12.0ms
(/ x (- z y))
130.0ms
(- (/ x (- z y)) (/ y (- z y)))
19.0ms
(/ y (- z y))
362.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

series360.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ x (- z y))
77.0ms
(- (/ x (- z y)) (/ y (- z y)))
50.0ms
(/ y (- z y))
201.0ms
(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify2.1s

Counts
622 → 622
Iterations

Useful iterations: done (2.1s)

IterNodesCost
059328840
1128325938
2281919958
done500015378

prune948.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
9.0b
(* (- x y) (/ t (- z y)))

rewrite92.0ms

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:
12.0ms
(/ t (- z y))
77.0ms
(* (- x y) (/ t (- z y)))

series127.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(/ t (- z y))
87.0ms
(* (- x y) (/ t (- z y)))

simplify3.5s

Counts
93 → 93
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
01341009
1298962
21104888
34477888
done5000888

prune210.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- x y) t)
12.3b
(/ (* (- x y) t) (- z y))

rewrite57.0ms

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)
33.0ms
(/ (* (- x y) t) (- z y))

series147.0ms

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

simplify1.5s

Counts
61 → 61
Iterations

Useful iterations: 2 (228.0ms)

IterNodesCost
0105597
1264576
21083502
done5000502

prune111.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes154.0ms

Accuracy

-3.9% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch68.0ms

Steps
ItersRangePoint
10
1.5319929683350882e-65
5.317179122404824e-51
8.76076775974317e-63
7
-1.4039338878839704e-37
-6.348119164927291e-39
-4.0376800463870345e-38

simplify3.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01843
12331
done2331

end0.0ms

sample801.0ms

Algorithm
intervals
Results
342.0ms8753×body80valid