Details

Time bar (total: 18.7s)

sample113.0ms

Algorithm
intervals
Results
26.0ms144×body160valid
21.0ms296×body80nan
17.0ms552×pre80true
8.0ms112×body80valid

simplify79.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
0.3b
(- (* b b) (* (* 4.0 a) c))
28.4b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite187.0ms

Algorithm
rewrite-expression-head
Rules
19×*-un-lft-identity
10×add-log-exp
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
7×add-cube-cbrt
6×distribute-lft-out
5×pow1 times-frac associate-/l*
3×distribute-rgt-neg-in sqrt-prod
2×cbrt-undiv neg-sub0 associate-+l- flip3-- flip3-+ sqrt-div div-exp sum-log flip-- flip-+ associate-/l/
1×+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 diff-log div-sub neg-log prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 70
Calls
4 calls:
12.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
101.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
13.0ms
(- (* b b) (* (* 4.0 a) c))
60.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series352.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
123.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
52.0ms
(- (* b b) (* (* 4.0 a) c))
95.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify640.0ms

Counts
82 → 82

prune220.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.3b
(- (* b b) (* (* 4.0 a) c))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite275.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
82×add-sqr-sqrt *-un-lft-identity
38×add-cube-cbrt
30×associate-/l*
22×distribute-lft-out-- difference-of-squares
18×add-exp-log add-cbrt-cube
11×distribute-rgt-neg-in sqrt-prod
10×add-log-exp
8×associate-/r*
7×cbrt-undiv div-exp
6×associate-/r/
5×flip3-- flip--
4×pow1 div-inv
3×diff-log associate-/l/
2×sub-neg frac-2neg prod-exp clear-num cbrt-unprod
1×associate--l- neg-sub0 flip3-+ neg-log flip-+
Counts
4 → 151
Calls
4 calls:
30.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
122.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
14.0ms
(- (* b b) (* (* 4.0 a) c))
102.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series648.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
229.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
67.0ms
(- (* b b) (* (* 4.0 a) c))
249.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify1.8s

Counts
163 → 163

prune608.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(/ (* (+ 0 (* 4.0 (* a c))) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 2.0 a))
0.3b
(- (* b b) (* (* 4.0 a) c))
0.4b
(* (+ 0 (* 4.0 (* a c))) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite258.0ms

Algorithm
rewrite-expression-head
Rules
48×add-exp-log
39×add-sqr-sqrt
33×*-un-lft-identity
30×add-cbrt-cube
27×associate-*r*
24×times-frac
17×prod-exp
16×add-cube-cbrt div-exp
10×add-log-exp
9×cbrt-undiv cbrt-unprod
8×distribute-lft-out-- difference-of-squares
6×pow1 associate-/l/
4×frac-times distribute-rgt-neg-in flip3-+ associate-*l/ sqrt-prod flip-+
3×rec-exp flip3-- diff-log 1-exp associate-*l* flip-- unswap-sqr
2×sub-neg associate-*r/ associate-/r/ un-div-inv div-inv
1×associate--l- neg-sub0 frac-2neg pow-prod-down neg-log clear-num associate-/r* *-commutative associate-/l*
Counts
4 → 119
Calls
4 calls:
30.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
51.0ms
(/ (* (+ 0 (* 4.0 (* a c))) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 2.0 a))
11.0ms
(- (* b b) (* (* 4.0 a) c))
152.0ms
(* (+ 0 (* 4.0 (* a c))) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series685.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
243.0ms
(/ (* (+ 0 (* 4.0 (* a c))) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))) (* 2.0 a))
65.0ms
(- (* b b) (* (* 4.0 a) c))
242.0ms
(* (+ 0 (* 4.0 (* a c))) (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify3.3s

Counts
131 → 131

prune539.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.2b
(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
0.3b
(- (* b b) (* (* 4.0 a) c))
0.4b
(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log add-cbrt-cube
15×add-sqr-sqrt *-un-lft-identity
10×add-log-exp
9×pow1
7×add-cube-cbrt associate-*r*
6×prod-exp cbrt-unprod
4×sub-neg flip3-- associate-*r/ flip-- distribute-lft-out-- difference-of-squares
3×cbrt-undiv times-frac diff-log div-exp pow-prod-down associate-/l*
2×distribute-rgt-in distribute-rgt-neg-in distribute-lft-in sqrt-prod associate-/r/ associate-/l/
1×associate--l- neg-sub0 frac-2neg flip3-+ associate-*l* neg-log clear-num associate-/r* *-commutative flip-+ div-inv
Counts
4 → 85
Calls
4 calls:
38.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
110.0ms
(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
14.0ms
(- (* b b) (* (* 4.0 a) c))
99.0ms
(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

series528.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
143.0ms
(* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))
69.0ms
(- (* b b) (* (* 4.0 a) c))
215.0ms
(/ (+ 0 (* 4.0 (* a c))) (* (* 2.0 a) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))))

simplify2.1s

Counts
97 → 97

prune370.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

regimes177.0ms

Accuracy

23.3% (0.2b remaining)

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

bsearch0.0ms

simplify1.6s

end0.0ms

sample3.8s

Algorithm
intervals
Results
1.0s16531×pre80true
934.0ms8531×body80nan
831.0ms4472×body160valid
287.0ms3528×body80valid