Details

Time bar (total: 18.3s)

sample111.0ms

Algorithm
intervals
Results
23.0ms142×body160valid
21.0ms284×body80nan
19.0ms540×pre80true
9.0ms114×body80valid

simplify112.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.2b

localize38.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 3.0 a) c)
0.3b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
28.1b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite205.0ms

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:
39.0ms
(* (* 3.0 a) c)
17.0ms
(- (* b b) (* (* 3.0 a) c))
117.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
29.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series410.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(* (* 3.0 a) c)
59.0ms
(- (* b b) (* (* 3.0 a) c))
192.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
131.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify930.0ms

Counts
85 → 85

prune264.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize46.0ms

Local error

Found 4 expressions with local error:

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)))))
0.3b
(- (* b b) (* (* 3.0 a) c))
0.4b
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

rewrite1.0s

Algorithm
rewrite-expression-head
Rules
90×times-frac
79×add-sqr-sqrt *-un-lft-identity
39×add-cube-cbrt
30×associate-/l*
23×add-exp-log add-cbrt-cube
20×distribute-lft-out-- difference-of-squares
10×distribute-rgt-neg-in sqrt-prod
9×pow1
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/ add-log-exp
5×prod-exp cbrt-unprod
4×flip3-- flip-- div-inv
3×div-sub associate-*l* pow-prod-down associate-/l/
2×associate-+l- frac-2neg clear-num
1×sub-neg flip3-+ diff-log associate-*r* *-commutative flip-+
Counts
4 → 153
Calls
4 calls:
26.0ms
(* 3.0 (* a c))
438.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
9.0ms
(- (* b b) (* (* 3.0 a) c))
532.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series540.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* 3.0 (* a c))
277.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
63.0ms
(- (* b b) (* (* 3.0 a) c))
178.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify1.9s

Counts
165 → 165

prune730.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite184.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
62×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
28×add-exp-log add-cbrt-cube
16×distribute-lft-out-- difference-of-squares
14×pow1
9×prod-exp cbrt-unprod div-inv
8×distribute-rgt-neg-in sqrt-prod
7×cbrt-undiv div-exp associate-/r* associate-/l*
6×pow-prod-down add-log-exp
4×associate-*r* associate-*l*
2×flip3-- associate-/r/ *-commutative flip--
1×sub-neg frac-2neg diff-log clear-num associate-/l/
Counts
4 → 132
Calls
4 calls:
35.0ms
(* (* 3.0 a) c)
34.0ms
(* 3.0 (* a c))
11.0ms
(- (* b b) (* (* 3.0 a) c))
91.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series389.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(* (* 3.0 a) c)
24.0ms
(* 3.0 (* a c))
86.0ms
(- (* b b) (* (* 3.0 a) c))
253.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify1.5s

Counts
144 → 144

prune501.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite260.0ms

Algorithm
rewrite-expression-head
Rules
73×times-frac
64×add-sqr-sqrt *-un-lft-identity
32×add-exp-log add-cube-cbrt add-cbrt-cube
18×pow1
16×distribute-lft-out-- difference-of-squares
14×sqrt-prod
12×associate-*r* prod-exp cbrt-unprod
9×pow-prod-down div-inv
8×distribute-rgt-neg-in
7×cbrt-undiv div-exp associate-/r* associate-/l*
6×add-log-exp
2×flip3-- associate-*l* associate-/r/ *-commutative flip--
1×sub-neg frac-2neg diff-log clear-num associate-/l/
Counts
4 → 141
Calls
4 calls:
9.0ms
(- (* b b) (* (* (* 3.0 a) (sqrt c)) (sqrt c)))
68.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* (* 3.0 a) (sqrt c)) (sqrt c))))))
43.0ms
(* (* 3.0 a) (sqrt c))
130.0ms
(* (* (* 3.0 a) (sqrt c)) (sqrt c))

series792.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- (* b b) (* (* (* 3.0 a) (sqrt c)) (sqrt c)))
591.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* (* 3.0 a) (sqrt c)) (sqrt c))))))
84.0ms
(* (* 3.0 a) (sqrt c))
43.0ms
(* (* (* 3.0 a) (sqrt c)) (sqrt c))

simplify2.0s

Counts
153 → 153

prune579.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes302.0ms

Accuracy

44.6% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.9s

end0.0ms

sample3.5s

Algorithm
intervals
Results
1.2s4478×body160valid
685.0ms8401×body80nan
559.0ms16401×pre80true
285.0ms3522×body80valid