Details

Time bar (total: 12.8s)

sample69.0ms

Algorithm
intervals
Results
14.0ms38×body2560valid
12.0ms192×body80valid
8.0ms25×body1280valid
6.0ms98×body80nan
4.0ms15×body640valid
1.0ms7×body320valid
1.0ms2×body5120valid
0.0ms3×body160valid

simplify70.0ms

Counts
1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
0.9b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
1.0b
(- (* b b) (* (* 3.0 a) c))
21.9b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite150.0ms

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:
82.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
25.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
29.0ms
(- (* b b) (* (* 3.0 a) c))
12.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series494.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) (* 3.0 a))
127.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
68.0ms
(- (* b b) (* (* 3.0 a) c))
118.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify746.0ms

Counts
82 → 82

prune356.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.7b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) a)
0.9b
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
1.0b
(- (* b b) (* (* 3.0 a) c))
21.9b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite181.0ms

Algorithm
rewrite-expression-head
Rules
117×times-frac
113×*-un-lft-identity
62×add-sqr-sqrt
61×add-cube-cbrt
26×distribute-lft-out
19×associate-/l*
13×distribute-rgt-neg-in
10×add-log-exp
9×add-exp-log add-cbrt-cube
5×pow1 div-inv
3×cbrt-undiv div-exp associate-/r* sqrt-prod
2×neg-sub0 associate-+l- flip3-- sqrt-div div-sub sum-log flip--
1×+-commutative sub-neg rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 diff-log neg-log clear-num flip-+ associate-/l/
Counts
4 → 137
Calls
4 calls:
114.0ms
(/ (/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) a)
41.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
9.0ms
(- (* b b) (* (* 3.0 a) c))
10.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series457.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(/ (/ (+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c)))) 3.0) a)
121.0ms
(+ (- b) (sqrt (- (* b b) (* (* 3.0 a) c))))
63.0ms
(- (* b b) (* (* 3.0 a) c))
103.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify1.0s

Counts
149 → 149

prune581.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ a (- (sqrt (- (* b b) (* (* 3.0 a) c))) b)) 3.0)
0.9b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
1.0b
(- (* b b) (* (* 3.0 a) c))
21.9b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
24×*-un-lft-identity associate-*l*
19×times-frac
16×add-cube-cbrt
9×add-exp-log add-cbrt-cube
8×add-log-exp difference-of-squares
7×pow1 sqrt-prod
4×flip3-- flip-- distribute-lft-out--
3×associate-*r*
2×sub-neg sqrt-div diff-log prod-exp associate-/r/ cbrt-unprod unswap-sqr
1×cbrt-undiv rem-sqrt-square sqrt-pow1 pow1/2 div-exp pow-prod-down associate-*l/ *-commutative div-inv
Counts
4 → 85
Calls
4 calls:
173.0ms
(* (/ a (- (sqrt (- (* b b) (* (* 3.0 a) c))) b)) 3.0)
92.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
16.0ms
(- (* b b) (* (* 3.0 a) c))
15.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series595.0ms

Counts
4 → 12
Calls
4 calls:
301.0ms
(* (/ a (- (sqrt (- (* b b) (* (* 3.0 a) c))) b)) 3.0)
112.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
69.0ms
(- (* b b) (* (* 3.0 a) c))
113.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify740.0ms

Counts
97 → 97

prune414.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 5.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* (/ a (- (sqrt (- (* b b) (* (* 3.0 a) c))) b)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
0.9b
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
1.0b
(- (* b b) (* (* 3.0 a) c))
21.9b
(sqrt (- (* b b) (* (* 3.0 a) c)))

rewrite380.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×pow1
13×add-cbrt-cube
12×add-sqr-sqrt
11×prod-exp cbrt-unprod
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
6×associate-*r* pow-prod-down
4×sqrt-prod
3×cbrt-prod flip3-- flip--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-*l/ difference-of-squares
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l* *-commutative distribute-lft-out--
Counts
4 → 71
Calls
4 calls:
265.0ms
(* (* (/ a (- (sqrt (- (* b b) (* (* 3.0 a) c))) b)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
88.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
12.0ms
(- (* b b) (* (* 3.0 a) c))
10.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

series727.0ms

Counts
4 → 12
Calls
4 calls:
437.0ms
(* (* (/ a (- (sqrt (- (* b b) (* (* 3.0 a) c))) b)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
119.0ms
(- (sqrt (- (* b b) (* (* 3.0 a) c))) b)
80.0ms
(- (* b b) (* (* 3.0 a) c))
91.0ms
(sqrt (- (* b b) (* (* 3.0 a) c)))

simplify1.0s

Counts
83 → 83

prune373.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 5.6b

regimes715.0ms

Accuracy

82.3% (5.0b remaining)

Error of 10.5b against oracle of 5.5b and baseline of 33.6b

bsearch151.0ms

Steps
ItersRangePoint
6
3.2999883719107076e-115
1.481810096151352e-114
1.0213318284335411e-114
8
-2.2586997858923377e+67
-7.953530697128701e+62
-8.5242092727768e+66

simplify121.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
922.0ms858×body1280valid
639.0ms1036×body2560valid
475.0ms5955×body80valid
184.0ms2892×body80nan
116.0ms458×body640valid
51.0ms101×body5120valid
46.0ms245×body320valid
15.0ms117×body160valid