Details

Time bar (total: 17.5s)

sample252.0ms

Algorithm
intervals
Results
47.0ms443×pre80true
35.0ms443×body80valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0813
11613
24013
311213
439613
5159313
done500013

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(* m (- 1.0 m))
0.0b
(/ (* m (- 1.0 m)) v)
0.1b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite227.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
36×prod-diff
33×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in
12×add-exp-log add-cbrt-cube
10×associate-*r*
8×flip3-- associate-*l* flip--
7×pow1
6×associate-*r/
4×frac-times sub-neg
3×expm1-log1p-u times-frac prod-exp associate-/r* cbrt-unprod log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
3 → 125
Calls
3 calls:
24.0ms
(* m (- 1.0 m))
22.0ms
(/ (* m (- 1.0 m)) v)
174.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series222.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(* m (- 1.0 m))
53.0ms
(/ (* m (- 1.0 m)) v)
83.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify2.5s

Counts
134 → 134
Iterations

Useful iterations: done (2.4s)

IterNodesCost
02232618
15862254
234151967
done50011910

prune430.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(* v (+ 1.0 m))
0.0b
(* m (- (* 1.0 1.0) (* m m)))
0.1b
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
0.1b
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

rewrite351.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
28×*-un-lft-identity
22×add-exp-log add-cube-cbrt add-cbrt-cube
20×prod-diff
15×distribute-rgt-in distribute-lft-in
13×associate-*r*
11×associate-*l*
10×pow1 associate-*r/
8×flip3-- flip--
7×prod-exp cbrt-unprod
4×cbrt-undiv expm1-log1p-u frac-times sub-neg div-exp log1p-expm1-u add-log-exp
3×pow-prod-down *-commutative difference-of-squares unswap-sqr
2×flip3-+ associate-*l/ associate-/r/ flip-+ associate-/l/ distribute-lft-out--
1×frac-2neg times-frac clear-num associate-/r* div-inv distribute-lft-out associate-/l*
Counts
4 → 135
Calls
4 calls:
24.0ms
(* v (+ 1.0 m))
43.0ms
(* m (- (* 1.0 1.0) (* m m)))
225.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
48.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

series382.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* v (+ 1.0 m))
110.0ms
(* m (- (* 1.0 1.0) (* m m)))
100.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
134.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

simplify486.0ms

Counts
147 → 147
Iterations

Useful iterations: done (479.0ms)

IterNodesCost
02553578
17783334
done50002972

prune488.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(* v (+ (pow 1.0 3) (pow m 3)))
0.1b
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m))))) 1.0) (- 1.0 m))
0.1b
(/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m))))
0.1b
(/ (* m (- (* 1.0 1.0) (* m m))) (/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m)))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
34×add-exp-log add-sqr-sqrt add-cbrt-cube
26×add-cube-cbrt
18×times-frac prod-diff
14×associate-*r*
12×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp associate-/r*
8×pow1 associate-*r/ associate-*l* prod-exp cbrt-unprod
7×flip3-- associate-/r/ flip--
5×flip3-+ flip-+ distribute-lft-out
4×expm1-log1p-u frac-times unpow-prod-down cube-prod log1p-expm1-u div-inv associate-/l/ add-log-exp
2×sub-neg frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
1×sum-cubes
Counts
4 → 157
Calls
4 calls:
119.0ms
(* v (+ (pow 1.0 3) (pow m 3)))
829.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m))))) 1.0) (- 1.0 m))
92.0ms
(/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m))))
107.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m)))))

series777.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(* v (+ (pow 1.0 3) (pow m 3)))
183.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m))))) 1.0) (- 1.0 m))
245.0ms
(/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m))))
207.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m)))))

simplify783.0ms

Counts
169 → 169
Iterations

Useful iterations: done (769.0ms)

IterNodesCost
03157119
110176183
done50005501

prune1.0s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* m (- (* 1.0 1.0) (* m m)))
0.1b
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
0.1b
(* (* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
0.1b
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

rewrite743.0ms

Algorithm
rewrite-expression-head
Rules
80×sqrt-prod
74×prod-diff
71×add-sqr-sqrt
67×*-un-lft-identity
57×add-cube-cbrt
42×distribute-rgt-in distribute-lft-in
32×frac-times
25×add-exp-log add-cbrt-cube
23×flip3-- flip--
18×associate-*r*
16×associate-*r/ associate-*l/
13×pow1 flip3-+ flip-+
9×associate-*l* prod-exp cbrt-unprod
6×difference-of-squares
5×pow-prod-down
4×cbrt-undiv expm1-log1p-u sub-neg div-exp log1p-expm1-u add-log-exp
3×*-commutative distribute-lft-out--
2×associate-/r/ associate-/l/ distribute-lft-out unswap-sqr
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 218
Calls
4 calls:
59.0ms
(* m (- (* 1.0 1.0) (* m m)))
62.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
355.0ms
(* (* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
253.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

series718.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* m (- (* 1.0 1.0) (* m m)))
122.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
232.0ms
(* (* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
258.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify996.0ms

Counts
230 → 230
Iterations

Useful iterations: done (976.0ms)

IterNodesCost
041211166
114859928
done50019173

prune796.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11013
done1013

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.2s13841×body80valid
333.0ms13841×pre80true