Details

Time bar (total: 18.8s)

sample125.0ms

Algorithm
intervals
Results
27.0ms156×body160valid
24.0ms496×pre80true
19.0ms240×body80nan
12.0ms49×body320valid
4.0ms51×body80valid

simplify76.0ms

Counts
1 → 1
Iterations
IterNodes
done104
5104
496
376
241
121
012

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 45.3b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 3.0 a) c))
0.3b
(* (* 3.0 a) c)
0.3b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
39.1b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
14×add-cbrt-cube add-exp-log
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×neg-sub0 cbrt-undiv sum-log flip3-+ div-exp associate-+l- flip-+ associate-/l/
1×+-commutative clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log div-sub associate-*l* neg-log *-commutative div-inv flip--
Counts
4 → 73
Calls
4 calls:
10.0ms
(- (* b b) (* (* 3.0 a) c))
26.0ms
(* (* 3.0 a) c)
64.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
31.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series358.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- (* b b) (* (* 3.0 a) c))
36.0ms
(* (* 3.0 a) c)
133.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
126.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.9s

Counts
85 → 85
Iterations
IterNodes
done5000
22625
1437
0154

prune416.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.2b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite326.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
80×add-sqr-sqrt *-un-lft-identity
40×add-cube-cbrt
30×associate-/l*
28×add-cbrt-cube add-exp-log
20×distribute-lft-out-- difference-of-squares
14×pow1
10×distribute-rgt-neg-in sqrt-prod
8×associate-/r* prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×associate-*l* pow-prod-down associate-/r/
4×div-inv add-log-exp
3×flip3-- div-sub flip-- associate-/l/
2×clear-num frac-2neg associate-*r* *-commutative associate-+l-
1×flip3-+ flip-+
Counts
4 → 159
Calls
4 calls:
13.0ms
(* c (* a 3.0))
13.0ms
(* c (* a 3.0))
117.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
174.0ms
(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (* 3.0 a))

series484.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* c (* a 3.0))
37.0ms
(* c (* a 3.0))
232.0ms
(/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0))))))
179.0ms
(/ (/ (+ (- (* b b) (* b b)) (* c (* a 3.0))) (- (- b) (sqrt (- (* b b) (* c (* a 3.0)))))) (* 3.0 a))

simplify1.5s

Counts
171 → 171
Iterations
IterNodes
done5001
23302
1652
0246

prune991.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite354.0ms

Algorithm
rewrite-expression-head
Rules
873×times-frac
475×*-un-lft-identity
331×add-sqr-sqrt add-cube-cbrt
144×distribute-lft-neg-in distribute-rgt-neg-in
97×associate-/l*
72×distribute-lft-out
67×div-inv
48×add-cbrt-cube add-exp-log
36×neg-mul-1
19×cbrt-undiv div-exp
15×associate-/r*
14×pow1
12×prod-exp cbrt-unprod
10×associate-/r/ distribute-neg-frac
6×associate-*l* pow-prod-down
5×flip3-+ flip-+
4×add-log-exp
2×clear-num frac-2neg associate-*r* *-commutative associate-/l/
Counts
4 → 544
Calls
4 calls:
171.0ms
(/ (/ (/ (* 3.0 (* c a)) 3.0) (- (+ b (sqrt (- (* b b) (* 3.0 (* c a))))))) a)
25.0ms
(* 3.0 (* c a))
13.0ms
(* 3.0 (* c a))
80.0ms
(/ (/ (* 3.0 (* c a)) 3.0) (- (+ b (sqrt (- (* b b) (* 3.0 (* c a)))))))

series617.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(/ (/ (/ (* 3.0 (* c a)) 3.0) (- (+ b (sqrt (- (* b b) (* 3.0 (* c a))))))) a)
35.0ms
(* 3.0 (* c a))
29.0ms
(* 3.0 (* c a))
299.0ms
(/ (/ (* 3.0 (* c a)) 3.0) (- (+ b (sqrt (- (* b b) (* 3.0 (* c a)))))))

simplify965.0ms

Counts
556 → 556
Iterations
IterNodes
done5001
11938
0739

prune3.2s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite513.0ms

Algorithm
rewrite-expression-head
Rules
64×add-cbrt-cube add-exp-log
55×times-frac
53×add-sqr-sqrt
51×*-un-lft-identity
48×associate-*l*
39×add-cube-cbrt
22×cbrt-undiv div-exp
21×associate-*r* prod-exp cbrt-unprod
13×pow1
12×distribute-lft-neg-in distribute-rgt-neg-in
6×distribute-lft-out
5×pow-prod-down unswap-sqr
4×div-inv add-log-exp
3×associate-/r* neg-mul-1 associate-*r/ *-commutative associate-/l/
2×frac-times associate-*l/ associate-/r/ distribute-neg-frac
1×clear-num frac-2neg flip3-+ flip-+ associate-/l*
Counts
4 → 160
Calls
4 calls:
55.0ms
(/ (* (/ c (- (+ (sqrt (- (* b b) (* 3.0 (* c a)))) b))) (/ a 3.0)) a)
25.0ms
(* 3.0 (* c a))
218.0ms
(* 3.0 (/ (* (/ c (- (+ (sqrt (- (* b b) (* 3.0 (* c a)))) b))) (/ a 3.0)) a))
207.0ms
(* (/ c (- (+ (sqrt (- (* b b) (* 3.0 (* c a)))) b))) (/ a 3.0))

series821.0ms

Counts
4 → 12
Calls
4 calls:
268.0ms
(/ (* (/ c (- (+ (sqrt (- (* b b) (* 3.0 (* c a)))) b))) (/ a 3.0)) a)
34.0ms
(* 3.0 (* c a))
232.0ms
(* 3.0 (/ (* (/ c (- (+ (sqrt (- (* b b) (* 3.0 (* c a)))) b))) (/ a 3.0)) a))
287.0ms
(* (/ c (- (+ (sqrt (- (* b b) (* 3.0 (* c a)))) b))) (/ a 3.0))

simplify581.0ms

Counts
172 → 172
Iterations
IterNodes
done5000
1845
0271

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes318.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done21
121
016

end0.0ms

sample4.0s

Algorithm
intervals
Results
921.0ms4839×body160valid
790.0ms1354×body320valid
696.0ms8161×body80nan
638.0ms16161×pre80true
131.0ms1807×body80valid