Details

Time bar (total: 9.6s)

sample123.0ms

Algorithm
intervals
Results
41.0ms121×body320valid
16.0ms500×pre80true
14.0ms244×body80nan
12.0ms98×body160valid
3.0ms28×body80valid
2.0ms9×body640valid

simplify5.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 52.3b

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))
0.3b
(* (* 3.0 a) c)
26.0b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite170.0ms

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:
15.0ms
(- (* b b) (* (* 3.0 a) c))
86.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
41.0ms
(* (* 3.0 a) c)
24.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series442.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (* b b) (* (* 3.0 a) c))
178.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
36.0ms
(* (* 3.0 a) c)
142.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify61.0ms

Counts
85 → 85

prune261.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite240.0ms

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-- flip-- associate-/l/
2×frac-2neg clear-num *-commutative
1×flip3-+ flip-+
Counts
4 → 157
Calls
4 calls:
18.0ms
(* (* 3.0 a) c)
30.0ms
(* 3.0 (* a c))
77.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
108.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series529.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* 3.0 a) c)
32.0ms
(* 3.0 (* a c))
244.0ms
(/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
220.0ms
(/ (/ (+ 0 (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify105.0ms

Counts
169 → 169

prune540.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log add-cbrt-cube
26×times-frac
24×prod-exp cbrt-unprod
19×cbrt-undiv div-exp
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×pow1
10×associate-*r/ associate-/r/
8×associate-/l*
6×pow-prod-down div-inv
5×flip3-- flip--
4×associate-*r* associate-*l* associate-/r* add-log-exp
2×frac-2neg clear-num *-commutative
1×associate-/l/
Counts
4 → 119
Calls
4 calls:
67.0ms
(/ (/ (* 3.0 (* a c)) (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
19.0ms
(* (* 3.0 a) c)
17.0ms
(* 3.0 (* a c))
56.0ms
(/ (* 3.0 (* a c)) (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series530.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(/ (/ (* 3.0 (* a c)) (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
30.0ms
(* (* 3.0 a) c)
22.0ms
(* 3.0 (* a c))
280.0ms
(/ (* 3.0 (* a c)) (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify151.0ms

Counts
131 → 131

prune442.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

Algorithm
rewrite-expression-head
Rules
64×add-exp-log add-cbrt-cube
26×times-frac
24×prod-exp cbrt-unprod
19×cbrt-undiv div-exp
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
14×pow1
10×associate-*r/ associate-/r/
8×associate-/l*
6×associate-*r* pow-prod-down div-inv
5×flip3-- flip--
4×associate-/r* add-log-exp
2×frac-2neg associate-*l* clear-num *-commutative
1×associate-/l/
Counts
4 → 119
Calls
4 calls:
63.0ms
(/ (/ (* (* 3.0 a) c) (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
19.0ms
(* (* 3.0 a) c)
18.0ms
(* (* 3.0 a) c)
88.0ms
(/ (* (* 3.0 a) c) (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series606.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(/ (/ (* (* 3.0 a) c) (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))) a)
36.0ms
(* (* 3.0 a) c)
36.0ms
(* (* 3.0 a) c)
291.0ms
(/ (* (* 3.0 a) c) (* 3.0 (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify110.0ms

Counts
131 → 131

prune398.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes150.0ms

Accuracy

88.1% (0.1b remaining)

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

bsearch0.0ms

simplify68.0ms

end0.0ms

sample4.3s

Algorithm
intervals
Results
986.0ms8180×body80nan
869.0ms3578×body320valid
800.0ms16180×pre80true
582.0ms2961×body160valid
165.0ms529×body640valid
61.0ms932×body80valid