Details

Time bar (total: 41.2s)

sample32.0ms

Algorithm
intervals
Results
14.0ms268×body80valid
1.0ms3×body1280valid
0.0ms2×body2560valid
0.0ms1×body640valid
0.0ms1×body320valid

simplify7.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (13.0ms)

IterNodesCost
013247
122247
237222
358222
4101222
5156222
6212222
7271222
8352222
9442222
10683222
111045222
121486222
132048222
142618222
152998222
163270222
173580222
183842222
194147222
204407222
214712222
224974222
done5000222

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 60.0 (- x y))
0.0b
(fma a 120.0 (/ (* 60.0 (- x y)) (- z t)))
0.2b
(/ (* 60.0 (- x y)) (- z t))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×*-un-lft-identity
19×add-cube-cbrt
18×prod-diff
11×distribute-rgt-in distribute-lft-in
10×add-cbrt-cube add-exp-log
5×pow1 associate-/r* times-frac associate-*r*
4×associate-*r/
3×expm1-log1p-u flip3-- associate-*l* log1p-expm1-u flip-- distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv sub-neg div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative fma-udef div-inv associate-/l* unswap-sqr
Counts
3 → 87
Calls
3 calls:
34.0ms
(* 60.0 (- x y))
0.0ms
(fma a 120.0 (/ (* 60.0 (- x y)) (- z t)))
47.0ms
(/ (* 60.0 (- x y)) (- z t))

series282.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(* 60.0 (- x y))
148.0ms
(fma a 120.0 (/ (* 60.0 (- x y)) (- z t)))
90.0ms
(/ (* 60.0 (- x y)) (- z t))

simplify3.9s

Counts
96 → 96
Iterations

Useful iterations: done (3.9s)

IterNodesCost
018125106
143522199
2112118595
3394518355
done500417395

prune538.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- x y) (- z t))
0.0b
(fma a 120.0 (* 60.0 (/ (- x y) (- z t))))
0.3b
(* 60.0 (/ (- x y) (- z t)))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-cbrt-cube add-exp-log
5×pow1 associate-/r* associate-/l*
4×associate-/r/
3×expm1-log1p-u flip3-- associate-*l* log1p-expm1-u flip-- add-log-exp
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative fma-udef
Counts
3 → 116
Calls
3 calls:
41.0ms
(/ (- x y) (- z t))
0.0ms
(fma a 120.0 (* 60.0 (/ (- x y) (- z t))))
65.0ms
(* 60.0 (/ (- x y) (- z t)))

series307.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ (- x y) (- z t))
144.0ms
(fma a 120.0 (* 60.0 (/ (- x y) (- z t))))
95.0ms
(* 60.0 (/ (- x y) (- z t)))

simplify3.5s

Counts
125 → 125
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
016531337
141529077
2123628755
3475928595
done500028595

prune837.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- z t)) (/ y (- z t)))
0.0b
(/ x (- z t))
0.0b
(fma a 120.0 (* 60.0 (- (/ x (- z t)) (/ y (- z t)))))
0.3b
(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

rewrite715.0ms

Algorithm
rewrite-expression-head
Rules
1985×*-un-lft-identity
1967×add-sqr-sqrt
1956×times-frac
1323×prod-diff
1163×add-cube-cbrt
443×distribute-rgt-in distribute-lft-in
409×distribute-lft-out--
397×difference-of-squares
264×associate-/r/
134×flip3-- flip--
132×div-inv
21×fma-neg
18×associate-*r*
8×add-cbrt-cube add-exp-log
6×pow1 distribute-rgt-out-- add-log-exp
5×associate-/r*
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×sub-neg associate-*l* associate-/l*
2×frac-sub sub-div
1×cbrt-undiv clear-num frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
Counts
4 → 1467
Calls
4 calls:
120.0ms
(- (/ x (- z t)) (/ y (- z t)))
18.0ms
(/ x (- z t))
0.0ms
(fma a 120.0 (* 60.0 (- (/ x (- z t)) (/ y (- z t)))))
366.0ms
(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

series531.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(- (/ x (- z t)) (/ y (- z t)))
39.0ms
(/ x (- z t))
140.0ms
(fma a 120.0 (* 60.0 (- (/ x (- z t)) (/ y (- z t)))))
180.0ms
(* 60.0 (- (/ x (- z t)) (/ y (- z t))))

simplify7.1s

Counts
1479 → 1479
Iterations

Useful iterations: done (6.5s)

IterNodesCost
012861335102
121341173498
done50001062462

prune8.9s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- x y))
0.0b
(fma a 120.0 (/ 60.0 (/ (- z t) (- x y))))
0.5b
(/ 60.0 (/ (- z t) (- x y)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
195×add-sqr-sqrt *-un-lft-identity
91×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
10×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
3×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/l/
1×div-sub fma-udef
Counts
3 → 208
Calls
3 calls:
24.0ms
(/ (- z t) (- x y))
0.0ms
(fma a 120.0 (/ 60.0 (/ (- z t) (- x y))))
19.0ms
(/ 60.0 (/ (- z t) (- x y)))

series619.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(/ (- z t) (- x y))
152.0ms
(fma a 120.0 (/ 60.0 (/ (- z t) (- x y))))
370.0ms
(/ 60.0 (/ (- z t) (- x y)))

simplify2.8s

Counts
217 → 217
Iterations

Useful iterations: done (2.8s)

IterNodesCost
029582321
177176779
2270875069
done500474826

prune1.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes748.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
012222
done12222

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s8485×body80valid
18.0ms54×body1280valid
10.0ms41×body640valid
10.0ms28×body2560valid
3.0ms14×body320valid
1.0ms7×body160valid