Details

Time bar (total: 14.0s)

sample588.0ms

Algorithm
intervals
Results
92.0ms508×pre80true
64.0ms116×body320valid
26.0ms252×body80nan
18.0ms100×body160valid
8.0ms21×body640valid
2.0ms19×body80valid

simplify13.0ms

Counts
1 → 1

prune44.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 54.6b

localize81.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
27.1b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

rewrite330.0ms

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:
19.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
18.0ms
(- (* b b) (* (* 4.0 a) c))
159.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
126.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
60.0ms
(- (* b b) (* (* 4.0 a) c))
159.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (* 2.0 a))
127.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))

simplify52.0ms

Counts
82 → 82

prune320.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(- (* b b) (* (* 4.0 a) c))
0.1b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
0.3b
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
0.3b
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

rewrite307.0ms

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:
8.0ms
(- (* b b) (* (* 4.0 a) c))
44.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
156.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
91.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

series781.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- (* b b) (* (* 4.0 a) c))
127.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
251.0ms
(/ (/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) (* 2.0 a))
317.0ms
(/ (+ 0 (* 4.0 (* a c))) (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))))

simplify118.0ms

Counts
163 → 163

prune695.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a)
0.3b
(/ 4.0 (/ 2.0 (* a c)))
0.3b
(/ 2.0 (* a c))
0.3b
(* (/ 4.0 (/ 2.0 (* a c))) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a))

rewrite435.0ms

Algorithm
rewrite-expression-head
Rules
389×times-frac
281×add-sqr-sqrt
255×*-un-lft-identity
169×add-cube-cbrt
117×add-exp-log
85×associate-*r*
77×add-cbrt-cube
62×div-exp
42×distribute-lft-out-- difference-of-squares
37×cbrt-undiv
33×associate-/l*
27×prod-exp
26×associate-*l*
21×distribute-rgt-neg-in sqrt-prod
19×div-inv
17×cbrt-unprod
16×associate-/r/
11×associate-/r*
8×unswap-sqr
7×flip3-- flip--
6×pow1
5×rec-exp 1-exp
4×add-log-exp
3×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
4 → 360
Calls
4 calls:
87.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a)
16.0ms
(/ 4.0 (/ 2.0 (* a c)))
16.0ms
(/ 2.0 (* a c))
288.0ms
(* (/ 4.0 (/ 2.0 (* a c))) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a))

series509.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a)
38.0ms
(/ 4.0 (/ 2.0 (* a c)))
41.0ms
(/ 2.0 (* a c))
254.0ms
(* (/ 4.0 (/ 2.0 (* a c))) (/ (/ 1 (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))) a))

simplify82.0ms

Counts
372 → 372

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ (- (* 0 0) (* (* 4.0 (* a c)) (* 4.0 (* a c)))) (* (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (- 0 (* 4.0 (* a c))))) (* 2.0 a))
0.3b
(* (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (- 0 (* 4.0 (* a c))))
0.4b
(/ (- (* 0 0) (* (* 4.0 (* a c)) (* 4.0 (* a c)))) (* (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (- 0 (* 4.0 (* a c)))))
0.5b
(* (* 4.0 (* a c)) (* 4.0 (* a c)))

rewrite482.0ms

Algorithm
rewrite-expression-head
Rules
120×pow1
68×add-exp-log add-cbrt-cube
67×pow-prod-down
34×prod-exp cbrt-unprod
28×times-frac
25×flip3-- flip--
24×associate-/r/
20×associate-/l*
18×add-sqr-sqrt
16×frac-times *-un-lft-identity
12×cbrt-undiv add-cube-cbrt div-exp
9×pow-sqr pow-prod-up
8×associate-*r/ associate-*l* associate-*l/
6×difference-of-squares
4×associate-*r* div-inv add-log-exp
3×pow-plus div-sub associate-/l/
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num associate-/r* *-commutative distribute-lft-out--
1×pow2 distribute-rgt-neg-in sub0-neg swap-sqr sqrt-prod distribute-rgt-neg-out unswap-sqr
Counts
4 → 186
Calls
4 calls:
89.0ms
(/ (/ (- (* 0 0) (* (* 4.0 (* a c)) (* 4.0 (* a c)))) (* (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (- 0 (* 4.0 (* a c))))) (* 2.0 a))
168.0ms
(* (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (- 0 (* 4.0 (* a c))))
100.0ms
(/ (- (* 0 0) (* (* 4.0 (* a c)) (* 4.0 (* a c)))) (* (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (- 0 (* 4.0 (* a c)))))
112.0ms
(* (* 4.0 (* a c)) (* 4.0 (* a c)))

series707.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(/ (/ (- (* 0 0) (* (* 4.0 (* a c)) (* 4.0 (* a c)))) (* (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (- 0 (* 4.0 (* a c))))) (* 2.0 a))
170.0ms
(* (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (- 0 (* 4.0 (* a c))))
276.0ms
(/ (- (* 0 0) (* (* 4.0 (* a c)) (* 4.0 (* a c)))) (* (- (- b) (sqrt (- (* b b) (* (* 4.0 a) c)))) (- 0 (* 4.0 (* a c)))))
41.0ms
(* (* 4.0 (* a c)) (* 4.0 (* a c)))

simplify68.0ms

Counts
198 → 198

prune800.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes160.0ms

Accuracy

88.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify50.0ms

end0.0ms

sample5.0s

Algorithm
intervals
Results
1.6s8302×body80nan
936.0ms3635×body320valid
728.0ms2951×body160valid
711.0ms16302×pre80true
189.0ms513×body640valid
94.0ms901×body80valid