Details

Time bar (total: 16.4s)

sample124.0ms

Algorithm
intervals
Results
31.0ms264×body80nan
23.0ms123×body320valid
16.0ms520×pre80true
11.0ms84×body160valid
5.0ms20×body640valid
2.0ms29×body80valid

simplify88.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 53.1b

localize13.0ms

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)
25.4b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-exp-log add-cbrt-cube
10×add-log-exp
9×pow1
7×add-sqr-sqrt add-cube-cbrt
6×distribute-lft-out
5×times-frac associate-/l*
4×prod-exp cbrt-unprod
3×distribute-rgt-neg-in associate-*r* pow-prod-down
2×cbrt-undiv neg-sub0 associate-+l- flip3-+ div-exp sum-log flip-+ associate-/l/
1×+-commutative sub-neg flip3-- frac-2neg diff-log div-sub associate-*l* neg-log clear-num associate-/r* *-commutative flip-- div-inv
Counts
4 → 73
Calls
4 calls:
13.0ms
(- (* b b) (* (* 3.0 a) c))
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
33.0ms
(* (* 3.0 a) c)
22.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series365.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (* b b) (* (* 3.0 a) c))
154.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
23.0ms
(* (* 3.0 a) c)
127.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.2s

Counts
85 → 85

prune276.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* a c))
0.3b
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite914.0ms

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×pow-prod-down associate-/r/
4×associate-*r* associate-*l* div-inv add-log-exp
3×flip3-- div-sub flip-- associate-/l/
2×associate-+l- frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
438.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
35.0ms
(* (* 3.0 a) c)
29.0ms
(* 3.0 (* a c))
398.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series471.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
25.0ms
(* (* 3.0 a) c)
21.0ms
(* 3.0 (* a c))
175.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.9s

Counts
171 → 171

prune640.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
76×times-frac
64×add-sqr-sqrt *-un-lft-identity
37×add-exp-log add-cbrt-cube
32×add-cube-cbrt
16×distribute-lft-out-- difference-of-squares
14×pow1
12×prod-exp cbrt-unprod
10×cbrt-undiv div-exp associate-/r* div-inv
8×distribute-rgt-neg-in sqrt-prod associate-/l*
6×pow-prod-down
4×associate-*r* associate-*l* add-log-exp
2×frac-2neg clear-num associate-/r/ *-commutative
1×flip3-- flip-- associate-/l/
Counts
4 → 143
Calls
4 calls:
95.0ms
(/ (/ (* 3.0 (* c a)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
41.0ms
(/ (* 3.0 (* c a)) 3.0)
41.0ms
(* (* 3.0 a) c)
31.0ms
(* 3.0 (* c a))

series370.0ms

Counts
4 → 12
Calls
4 calls:
282.0ms
(/ (/ (* 3.0 (* c a)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
35.0ms
(/ (* 3.0 (* c a)) 3.0)
31.0ms
(* (* 3.0 a) c)
22.0ms
(* 3.0 (* c a))

simplify1.5s

Counts
155 → 155

prune517.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (* 3.0 (* c a)) 3.0)
0.3b
(* (* 3.0 a) c)
0.3b
(* 3.0 (* c a))
0.4b
(* (/ (* 3.0 (* c a)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

rewrite357.0ms

Algorithm
rewrite-expression-head
Rules
155×times-frac
119×add-sqr-sqrt
113×add-exp-log
108×*-un-lft-identity
89×associate-*r*
77×add-cbrt-cube
71×add-cube-cbrt
44×prod-exp
42×div-exp
30×cbrt-unprod
24×cbrt-undiv
18×distribute-lft-out-- difference-of-squares
16×pow1
11×associate-*l*
9×distribute-rgt-neg-in sqrt-prod
7×pow-prod-down
6×associate-/r/ div-inv
4×rec-exp 1-exp add-log-exp unswap-sqr
3×flip3-- associate-/r* *-commutative flip--
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/l*
Counts
4 → 199
Calls
4 calls:
40.0ms
(/ (* 3.0 (* c a)) 3.0)
31.0ms
(* (* 3.0 a) c)
18.0ms
(* 3.0 (* c a))
247.0ms
(* (/ (* 3.0 (* c a)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

series337.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* 3.0 (* c a)) 3.0)
21.0ms
(* (* 3.0 a) c)
20.0ms
(* 3.0 (* c a))
276.0ms
(* (/ (* 3.0 (* c a)) 3.0) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a))

simplify683.0ms

Counts
211 → 211

prune745.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes230.0ms

Accuracy

87.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.1s

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.1s16061×pre80true
805.0ms3671×body320valid
663.0ms8061×body80nan
484.0ms2918×body160valid
126.0ms502×body640valid
94.0ms909×body80valid