Details

Time bar (total: 20.8s)

sample80.0ms

Algorithm
intervals
Results
16.0ms117×body320valid
12.0ms505×pre80true
11.0ms249×body80nan
9.0ms92×body160valid
4.0ms20×body640valid
1.0ms27×body80valid

simplify169.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
01217
12217
24216
38216
410416
511216
done11216

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.3b
(* (* 3.0 a) c)
28.1b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-sqr-sqrt add-cube-cbrt fma-def add-log-exp
9×pow1
6×distribute-rgt-neg-in distribute-lft-out
5×times-frac associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative neg-mul-1 sub-neg flip3-- frac-2neg fma-neg diff-log div-sub associate-*l* prod-diff neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 93
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
90.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
25.0ms
(* (* 3.0 a) c)
28.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- (* b b) (* (* 3.0 a) c))
172.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms
(* (* 3.0 a) c)
135.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.8s

Counts
105 → 105
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01671559
14401478
216841247
done50001234

prune392.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* a c) 3.0)
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.4b
(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite346.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×prod-exp associate-/r* cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*r* pow-prod-down associate-/r/
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×flip3-- flip-- associate-/l/
2×frac-2neg associate-*l* clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 165
Calls
4 calls:
32.0ms
(* (* a c) 3.0)
35.0ms
(* (* 3.0 a) c)
116.0ms
(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
155.0ms
(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series630.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* a c) 3.0)
34.0ms
(* (* 3.0 a) c)
325.0ms
(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
234.0ms
(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.7s

Counts
177 → 177
Iterations

Useful iterations: done (2.7s)

IterNodesCost
02554841
16374352
228393973
done50003971

prune662.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(* (* 3.0 a) c)
0.3b
(/ (* 3.0 (* a c)) 3.0)
0.3b
(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite443.0ms

Algorithm
rewrite-expression-head
Rules
320×times-frac
238×add-sqr-sqrt
227×*-un-lft-identity
142×add-cube-cbrt
117×add-exp-log
88×associate-*r*
77×add-cbrt-cube
48×div-exp
42×distribute-lft-out-- difference-of-squares
41×prod-exp
28×associate-/l*
27×cbrt-undiv cbrt-unprod
21×distribute-rgt-neg-in sqrt-prod
14×associate-/r/
11×pow1 div-inv
8×associate-*l*
7×flip3-- flip--
6×associate-/r*
5×rec-exp 1-exp
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp unswap-sqr
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 317
Calls
4 calls:
101.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
20.0ms
(* (* 3.0 a) c)
34.0ms
(/ (* 3.0 (* a c)) 3.0)
252.0ms
(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series472.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
24.0ms
(* (* 3.0 a) c)
26.0ms
(/ (* 3.0 (* a c)) 3.0)
250.0ms
(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify2.7s

Counts
329 → 329
Iterations

Useful iterations: done (2.7s)

IterNodesCost
04359237
112158361
242177037
done50017035

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.2b
(/ (/ (/ (* a c) 1) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(/ (/ (* a c) 1) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* (* 3.0 a) c)

rewrite273.0ms

Algorithm
rewrite-expression-head
Rules
518×times-frac
317×add-sqr-sqrt *-un-lft-identity
173×add-cube-cbrt
72×distribute-lft-out-- difference-of-squares
62×associate-/l*
44×add-exp-log
42×div-inv
36×distribute-rgt-neg-in sqrt-prod
32×add-cbrt-cube
24×div-exp
14×cbrt-undiv
10×associate-/r* associate-/r/
9×pow1
7×prod-exp
6×flip3-- flip-- add-log-exp
5×cbrt-unprod
4×expm1-log1p-u 1-exp log1p-expm1-u
3×associate-*r* pow-prod-down
2×frac-2neg clear-num associate-/l/
1×sub-neg fma-neg diff-log associate-*l* prod-diff *-commutative
Counts
4 → 368
Calls
4 calls:
9.0ms
(- (* b b) (* (* 3.0 a) c))
134.0ms
(/ (/ (/ (* a c) 1) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
84.0ms
(/ (/ (* a c) 1) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
18.0ms
(* (* 3.0 a) c)

series566.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* b b) (* (* 3.0 a) c))
254.0ms
(/ (/ (/ (* a c) 1) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
231.0ms
(/ (/ (* a c) 1) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
25.0ms
(* (* 3.0 a) c)

simplify2.3s

Counts
380 → 380
Iterations

Useful iterations: done (2.3s)

IterNodesCost
049412304
1117810582
2342510184
done500010182

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01723
12219
done2219

end0.0ms

sample3.9s

Algorithm
intervals
Results
888.0ms3641×body320valid
887.0ms2959×body160valid
636.0ms16012×pre80true
589.0ms8012×body80nan
160.0ms504×body640valid
55.0ms896×body80valid