Details

Time bar (total: 17.4s)

sample80.0ms

Algorithm
intervals
Results
17.0ms156×body160valid
15.0ms297×body80nan
14.0ms553×pre80true
5.0ms100×body80valid

simplify87.0ms

Counts
1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.4b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
30.9b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite197.0ms

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:
16.0ms
(- (* b b) (* (* 3.0 a) c))
22.0ms
(* (* 3.0 a) c)
98.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
58.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series388.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(- (* b b) (* (* 3.0 a) c))
32.0ms
(* (* 3.0 a) c)
172.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
121.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.0s

Counts
85 → 85

prune254.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 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))

rewrite1000.0ms

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)
24.0ms
(* 3.0 (* a c))
461.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
484.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series502.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* 3.0 a) c)
36.0ms
(* 3.0 (* a c))
256.0ms
(/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
181.0ms
(/ (/ (+ (- (pow b 2) (pow b 2)) (* 3.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.1s

Counts
171 → 171

prune701.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite351.0ms

Algorithm
rewrite-expression-head
Rules
521×times-frac
319×add-sqr-sqrt *-un-lft-identity
175×add-cube-cbrt
72×distribute-lft-out-- difference-of-squares
63×associate-/l*
52×add-exp-log add-cbrt-cube
43×div-inv
36×distribute-rgt-neg-in sqrt-prod
22×cbrt-undiv div-exp
13×associate-/r*
12×prod-exp cbrt-unprod
10×associate-/r/
9×pow1
5×flip3-- flip--
4×add-log-exp
3×frac-2neg associate-*l* pow-prod-down clear-num
2×associate-/l/
1×associate-*r* *-commutative
Counts
4 → 369
Calls
4 calls:
41.0ms
(/ (* 3.0 (* c a)) 3.0)
32.0ms
(* 3.0 (* c a))
158.0ms
(/ (/ (/ (* 3.0 (* c a)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
91.0ms
(/ (/ (* 3.0 (* c a)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series629.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (* 3.0 (* c a)) 3.0)
24.0ms
(* 3.0 (* c a))
276.0ms
(/ (/ (/ (* 3.0 (* c a)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
300.0ms
(/ (/ (* 3.0 (* c a)) 3.0) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify880.0ms

Counts
381 → 381

prune1.3s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (* b b) (* (* 3.0 a) c))
0.2b
(* (* 3.0 a) c)
0.3b
(/ (/ (* 1.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
0.3b
(/ (* 1.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

rewrite257.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
53×add-sqr-sqrt *-un-lft-identity
32×add-exp-log add-cbrt-cube
29×add-cube-cbrt
14×associate-/l*
12×distribute-lft-out-- difference-of-squares
10×cbrt-undiv div-exp associate-/r* associate-/r/
9×pow1 prod-exp cbrt-unprod
6×flip3-- distribute-rgt-neg-in sqrt-prod flip-- div-inv add-log-exp
3×associate-*r* pow-prod-down
2×frac-2neg clear-num
1×sub-neg diff-log associate-*l* *-commutative associate-/l/
Counts
4 → 137
Calls
4 calls:
8.0ms
(- (* b b) (* (* 3.0 a) c))
29.0ms
(* (* 3.0 a) c)
117.0ms
(/ (/ (* 1.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
97.0ms
(/ (* 1.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

series598.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- (* b b) (* (* 3.0 a) c))
31.0ms
(* (* 3.0 a) c)
264.0ms
(/ (/ (* 1.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) a)
239.0ms
(/ (* 1.0 (* a c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))

simplify1.8s

Counts
149 → 149

prune582.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

regimes233.0ms

Accuracy

42.5% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify731.0ms

end0.0ms

sample3.6s

Algorithm
intervals
Results
809.0ms3475×body80valid
754.0ms4524×body160valid
666.0ms16624×pre80true
602.0ms8624×body80nan
0.0ms1×body320valid