Details

Time bar (total: 6.0s)

sample55.0ms

Algorithm
intervals
Results
10.0ms113×body320valid
9.0ms531×pre80true
8.0ms275×body80nan
6.0ms93×body160valid
2.0ms13×body640valid
1.0ms37×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0219
1429
2769
3949
41029
51029
done1029

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 51.2b

localize10.0ms

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)
26.5b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite115.0ms

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:
8.0ms
(- (* b b) (* (* 3.0 a) c))
65.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
17.0ms
(* (* 3.0 a) c)
24.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series263.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* b b) (* (* 3.0 a) c))
110.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
20.0ms
(* (* 3.0 a) c)
83.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify52.0ms

Counts
85 → 85
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0419716
11930613
25002608
done5002608

prune170.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite592.0ms

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:
17.0ms
(* (* 3.0 a) c)
16.0ms
(* 3.0 (* a c))
262.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
291.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series345.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (* 3.0 a) c)
20.0ms
(* 3.0 (* a c))
170.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
130.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify108.0ms

Counts
171 → 171
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
06843100
133072567
250012533
done50012533

prune419.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite198.0ms

Algorithm
rewrite-expression-head
Rules
518×times-frac
318×add-sqr-sqrt *-un-lft-identity
174×add-cube-cbrt
72×distribute-lft-out-- difference-of-squares
62×associate-/l*
48×add-exp-log add-cbrt-cube
42×div-inv
36×distribute-rgt-neg-in sqrt-prod
19×cbrt-undiv div-exp
14×pow1
12×prod-exp cbrt-unprod
10×associate-/r* associate-/r/
6×pow-prod-down
5×flip3-- flip--
4×associate-*r* associate-*l* add-log-exp
2×frac-2neg clear-num *-commutative associate-/l/
Counts
4 → 364
Calls
4 calls:
87.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
17.0ms
(* (* 3.0 a) c)
16.0ms
(* 3.0 (* a c))
56.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series384.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(/ (/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
24.0ms
(* (* 3.0 a) c)
20.0ms
(* 3.0 (* a c))
188.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify82.0ms

Counts
376 → 376
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012267115
150016759
done50016759

prune850.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
55×add-exp-log add-cbrt-cube
19×prod-exp cbrt-unprod
17×cbrt-undiv div-exp
16×times-frac
14×pow1
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
8×associate-/l*
6×pow-prod-down
4×associate-*r* associate-*l* associate-/r* div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num associate-/r/ *-commutative
1×flip3-- flip-- associate-/l/
Counts
4 → 103
Calls
4 calls:
20.0ms
(/ (* 3.0 (* a c)) 3.0)
17.0ms
(* (* 3.0 a) c)
15.0ms
(* 3.0 (* a c))
44.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

series218.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (* 3.0 (* a c)) 3.0)
20.0ms
(* (* 3.0 a) c)
25.0ms
(* 3.0 (* a c))
152.0ms
(/ (/ (* 3.0 (* a c)) 3.0) (* a (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))))

simplify76.0ms

Counts
115 → 115
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
05251089
13035792
25001776
done5001776

prune225.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111
12111
done2111

end0.0ms

sample1.6s

Algorithm
intervals
Results
329.0ms3623×body320valid
282.0ms16198×pre80true
251.0ms8198×body80nan
181.0ms2914×body160valid
65.0ms524×body640valid
29.0ms939×body80valid