Details

Time bar (total: 11.8s)

sample56.0ms

Algorithm
intervals
Results
12.0ms129×body320valid
9.0ms496×pre80true
7.0ms240×body80nan
5.0ms78×body160valid
2.0ms18×body640valid
1.0ms31×body80valid

simplify73.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
01217
12217
24216
38216
410416
511216
done11216

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.3b

localize14.0ms

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))
0.2b
(* (* 3.0 a) c)
26.6b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite123.0ms

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:
10.0ms
(- (* b b) (* (* 3.0 a) c))
69.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
18.0ms
(* (* 3.0 a) c)
23.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series264.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(- (* b b) (* (* 3.0 a) c))
113.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
25.0ms
(* (* 3.0 a) c)
80.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.4s

Counts
105 → 105
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01671559
14401478
216841247
done50001234

prune222.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite195.0ms

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:
60.0ms
(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* (* 3.0 a) c)
17.0ms
(* (* a c) 3.0)
91.0ms
(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series389.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
24.0ms
(* (* 3.0 a) c)
20.0ms
(* (* a c) 3.0)
158.0ms
(/ (/ (+ 0 (* (* a c) 3.0)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.2s

Counts
177 → 177
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02554841
16374352
228313973
done50003971

prune398.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 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))

rewrite286.0ms

Algorithm
rewrite-expression-head
Rules
320×times-frac
238×add-sqr-sqrt
227×*-un-lft-identity
142×add-cube-cbrt
117×add-exp-log
86×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
10×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:
69.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
16.0ms
(* 3.0 (* a c))
20.0ms
(/ (* 3.0 (* a c)) 3.0)
157.0ms
(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series324.0ms

Counts
4 → 12
Calls
4 calls:
124.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
21.0ms
(* 3.0 (* a c))
23.0ms
(/ (* 3.0 (* a c)) 3.0)
156.0ms
(* (/ (* 3.0 (* a c)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify1.6s

Counts
329 → 329
Iterations

Useful iterations: done (1.6s)

IterNodesCost
04199234
111688360
239797036
done50007034

prune599.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite326.0ms

Algorithm
rewrite-expression-head
Rules
634×times-frac
487×add-sqr-sqrt
472×*-un-lft-identity
275×add-cube-cbrt
173×cbrt-prod
151×associate-*r*
98×distribute-lft-out-- difference-of-squares
73×add-exp-log
54×associate-/l*
49×distribute-rgt-neg-in sqrt-prod
47×add-cbrt-cube
31×div-exp
24×prod-exp
19×cbrt-undiv
16×associate-/r/
15×cbrt-unprod
11×pow1 div-inv
10×associate-/r*
8×flip3-- associate-*l* flip--
6×1-exp
5×unswap-sqr
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp
2×frac-2neg clear-num *-commutative
1×frac-times associate-*r/ associate-*l/ associate-/l/
Counts
4 → 501
Calls
4 calls:
40.0ms
(/ (cbrt 1) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* (* 3.0 a) c)
72.0ms
(/ (/ (cbrt 1) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
157.0ms
(* (/ (* a c) 1) (/ (/ (cbrt 1) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series395.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(/ (cbrt 1) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
19.0ms
(* (* 3.0 a) c)
120.0ms
(/ (/ (cbrt 1) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
154.0ms
(* (/ (* a c) 1) (/ (/ (cbrt 1) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify1.5s

Counts
513 → 513
Iterations

Useful iterations: done (1.5s)

IterNodesCost
053815055
1138112450
2358811540
done500011538

prune736.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes86.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01824
12422
done2422

end0.0ms

sample1.6s

Algorithm
intervals
Results
320.0ms3613×body320valid
284.0ms16208×pre80true
230.0ms8208×body80nan
173.0ms2901×body160valid
60.0ms518×body640valid
31.0ms968×body80valid