Details

Time bar (total: 30.5s)

sample114.0ms

Algorithm
intervals
Results
22.0ms112×body320valid
18.0ms291×body80nan
16.0ms547×pre80true
13.0ms107×body160valid
11.0ms21×body640valid
1.0ms16×body80valid

simplify134.0ms

Counts
1 → 1
Iterations
IterNodes
done102
7102
6101
599
491
375
240
122
012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 55.1b

localize30.0ms

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))
0.2b
(* (* 3.0 a) c)
27.2b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

rewrite189.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
14×add-cbrt-cube add-exp-log
10×add-sqr-sqrt fma-def add-cube-cbrt add-log-exp
9×pow1
6×distribute-rgt-neg-in distribute-lft-out
5×times-frac associate-/l*
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u
3×distribute-lft-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* neg-mul-1 sub-neg frac-2neg flip3-- fma-neg diff-log div-sub associate-*l* prod-diff neg-log *-commutative div-inv flip--
Counts
4 → 93
Calls
4 calls:
12.0ms
(- (* b b) (* (* 3.0 a) c))
106.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
26.0ms
(* (* 3.0 a) c)
43.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

series403.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(- (* b b) (* (* 3.0 a) c))
160.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
26.0ms
(* (* 3.0 a) c)
135.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))

simplify1.8s

Counts
105 → 105
Iterations
IterNodes
done5002
21578
1461
0167

prune646.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite315.0ms

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-*r* pow-prod-down associate-/r/
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×flip3-- div-sub flip-- associate-/l/
2×clear-num frac-2neg associate-*l* *-commutative associate-+l-
1×flip3-+ flip-+
Counts
4 → 167
Calls
4 calls:
17.0ms
(* (* 3.0 a) c)
13.0ms
(* (* 3.0 a) c)
127.0ms
(/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
145.0ms
(/ (/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

series473.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (* 3.0 a) c)
35.0ms
(* (* 3.0 a) c)
216.0ms
(/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))))
188.0ms
(/ (/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))) (* 3.0 a))

simplify2.2s

Counts
179 → 179
Iterations
IterNodes
done5000
22099
1667
0247

prune1.1s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 3.0 a) c)
0.3b
(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))
0.3b
(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c)))
0.4b
(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))) (* 3.0 a))

rewrite335.0ms

Algorithm
rewrite-expression-head
Rules
214×times-frac
161×add-exp-log
111×add-sqr-sqrt *-un-lft-identity
80×div-exp
77×add-cbrt-cube
63×add-cube-cbrt
48×associate-/l*
46×prod-exp
34×cbrt-undiv
24×distribute-lft-out-- difference-of-squares
20×cbrt-unprod
15×div-inv
13×associate-/r*
12×rec-exp distribute-rgt-neg-in 1-exp sqrt-prod
10×pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-*r* pow-prod-down associate-/r/ associate-/l/
1×flip3-- div-sub associate-*l* *-commutative pow-flip flip-- inv-pow
Counts
4 → 260
Calls
4 calls:
13.0ms
(* (* 3.0 a) c)
119.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))
63.0ms
(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c)))
128.0ms
(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))) (* 3.0 a))

series597.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (* 3.0 a) c)
146.0ms
(/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))
242.0ms
(/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c)))
182.0ms
(/ (/ 1 (/ (- (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* (* 3.0 a) c))) (* 3.0 a))

simplify2.6s

Counts
272 → 272
Iterations
IterNodes
done5060
23629
1999
0372

prune1.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize76.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (pow (- b) 3) (pow (sqrt (- (* b b) (* (* 3.0 a) c))) 3)))
0.4b
(/ (* 3.0 a) (fma (sqrt (- (* b b) (* (* 3.0 a) c))) (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* b b)))
0.4b
(/ (/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (pow (- b) 3) (pow (sqrt (- (* b b) (* (* 3.0 a) c))) 3))) (/ (* 3.0 a) (fma (sqrt (- (* b b) (* (* 3.0 a) c))) (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* b b))))
27.2b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

rewrite863.0ms

Algorithm
rewrite-expression-head
Rules
2175×times-frac
1694×add-sqr-sqrt
1132×*-un-lft-identity
674×difference-of-squares
626×add-cube-cbrt
616×unpow-prod-down cube-prod
280×sqr-pow
253×distribute-lft-out--
237×sqrt-prod
129×div-inv
121×associate-/l*
112×distribute-rgt-neg-in
47×associate-/r*
32×add-cbrt-cube add-exp-log
28×difference-cubes
19×associate-/r/
18×prod-diff
16×cbrt-undiv div-exp
10×flip3-- flip--
6×fma-neg add-log-exp
4×expm1-log1p-u pow1 log1p-expm1-u
3×clear-num frac-2neg div-sub prod-exp cbrt-unprod associate-/l/
2×associate-+l-
1×sub-neg flip3-+ diff-log flip-+
Counts
4 → 1204
Calls
4 calls:
244.0ms
(/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (pow (- b) 3) (pow (sqrt (- (* b b) (* (* 3.0 a) c))) 3)))
14.0ms
(/ (* 3.0 a) (fma (sqrt (- (* b b) (* (* 3.0 a) c))) (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* b b)))
376.0ms
(/ (/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (pow (- b) 3) (pow (sqrt (- (* b b) (* (* 3.0 a) c))) 3))) (/ (* 3.0 a) (fma (sqrt (- (* b b) (* (* 3.0 a) c))) (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* b b))))
77.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

series1.8s

Counts
4 → 12
Calls
4 calls:
352.0ms
(/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (pow (- b) 3) (pow (sqrt (- (* b b) (* (* 3.0 a) c))) 3)))
819.0ms
(/ (* 3.0 a) (fma (sqrt (- (* b b) (* (* 3.0 a) c))) (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* b b)))
458.0ms
(/ (/ (+ (- (* b b) (* b b)) (* (* 3.0 a) c)) (- (pow (- b) 3) (pow (sqrt (- (* b b) (* (* 3.0 a) c))) 3))) (/ (* 3.0 a) (fma (sqrt (- (* b b) (* (* 3.0 a) c))) (- (sqrt (- (* b b) (* (* 3.0 a) c))) b) (* b b))))
128.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)

simplify4.4s

Counts
1216 → 1216
Iterations
IterNodes
done5002
13353
01050

prune6.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes361.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done19
119
015

end0.0ms

sample4.3s

Algorithm
intervals
Results
895.0ms2994×body160valid
834.0ms3593×body320valid
694.0ms16198×pre80true
678.0ms8198×body80nan
641.0ms526×body640valid
59.0ms887×body80valid