Details

Time bar (total: 19.6s)

sample378.0ms

Algorithm
intervals
Results
58.0ms26×body1280valid
45.0ms97×body80nan
41.0ms16×body640valid
38.0ms32×body2560valid
35.0ms199×body80valid
9.0ms7×body5120valid
4.0ms6×body320valid
1.0ms4×body160valid

simplify107.0ms

Counts
1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize38.0ms

Local error

Found 4 expressions with local error:

22.9b
(sqrt (- (* b_2 b_2) (* a c)))
1.1b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.8b
(- (* b_2 b_2) (* a c))
0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite570.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
21×times-frac
17×add-cube-cbrt
10×distribute-lft-out-- add-log-exp difference-of-squares
8×sqrt-prod
7×associate-/l*
6×add-cbrt-cube add-exp-log
5×pow1 distribute-rgt-neg-in
4×flip3-- insert-posit16 flip--
3×associate-/r* diff-log
2×sub-neg sqrt-div associate-/l/
1×associate--l- neg-sub0 cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log div-inv
Counts
4 → 95
Calls
4 calls:
Slowest
487.0ms
(sqrt (- (* b_2 b_2) (* a c)))
42.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
26.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
11.0ms
(- (* b_2 b_2) (* a c))

series379.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
136.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
106.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
82.0ms
(sqrt (- (* b_2 b_2) (* a c)))
55.0ms
(- (* b_2 b_2) (* a c))

simplify1.0s

Counts
107 → 107

prune1.5s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.9b

localize23.0ms

Local error

Found 4 expressions with local error:

22.9b
(sqrt (- (* b_2 b_2) (* a c)))
1.1b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.8b
(- (* b_2 b_2) (* a c))
0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
21×times-frac
17×add-cube-cbrt
10×distribute-lft-out-- add-log-exp difference-of-squares
8×sqrt-prod
7×associate-/l*
6×add-cbrt-cube add-exp-log
5×pow1 distribute-rgt-neg-in
4×flip3-- insert-posit16 flip--
3×associate-/r* diff-log
2×sub-neg sqrt-div associate-/l/
1×associate--l- neg-sub0 cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log div-inv
Counts
4 → 95
Calls
4 calls:
Slowest
48.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
15.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
14.0ms
(sqrt (- (* b_2 b_2) (* a c)))
8.0ms
(- (* b_2 b_2) (* a c))

series361.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
141.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
91.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
84.0ms
(sqrt (- (* b_2 b_2) (* a c)))
44.0ms
(- (* b_2 b_2) (* a c))

simplify1.1s

Counts
107 → 107

prune1.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 4.9b

localize44.0ms

Local error

Found 4 expressions with local error:

22.9b
(sqrt (- (* b_2 b_2) (* a c)))
1.1b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.8b
(- (* b_2 b_2) (* a c))
0.2b
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
165×times-frac
130×add-sqr-sqrt
129×*-un-lft-identity
77×add-cube-cbrt
27×associate-/r*
26×distribute-lft-out-- difference-of-squares
16×sqrt-prod
15×add-exp-log
13×distribute-rgt-neg-in
10×add-log-exp
9×add-cbrt-cube associate-/r/
7×flip3-- div-exp flip--
6×pow1
5×div-inv
4×insert-posit16
3×cbrt-undiv diff-log associate-/l*
2×rec-exp sub-neg sqrt-div 1-exp
1×associate--l- neg-sub0 rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 neg-log pow-flip inv-pow
Counts
4 → 181
Calls
4 calls:
Slowest
56.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
29.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
15.0ms
(- (* b_2 b_2) (* a c))
14.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series398.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
133.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
110.0ms
(sqrt (- (* b_2 b_2) (* a c)))
105.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
50.0ms
(- (* b_2 b_2) (* a c))

simplify954.0ms

Counts
193 → 193

prune2.6s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.9b

localize54.0ms

Local error

Found 4 expressions with local error:

22.9b
(sqrt (- (* b_2 b_2) (* a c)))
1.1b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
0.8b
(- (* b_2 b_2) (* a c))
0.3b
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
22×*-un-lft-identity
13×associate-*r* add-exp-log add-cube-cbrt
11×times-frac
10×add-log-exp
9×add-cbrt-cube
7×pow1 associate-*l*
5×flip3-- sqrt-prod flip--
4×prod-exp insert-posit16 distribute-lft-out-- difference-of-squares
3×diff-log unswap-sqr
2×frac-times sub-neg distribute-rgt-neg-in sqrt-div div-exp associate-*l/ cbrt-unprod
1×associate--l- neg-sub0 cbrt-undiv rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp pow-prod-down neg-log associate-*r/ un-div-inv *-commutative div-inv
Counts
4 → 93
Calls
4 calls:
Slowest
88.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
21.0ms
(sqrt (- (* b_2 b_2) (* a c)))
19.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
7.0ms
(- (* b_2 b_2) (* a c))

series388.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
128.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
98.0ms
(sqrt (- (* b_2 b_2) (* a c)))
97.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
65.0ms
(- (* b_2 b_2) (* a c))

simplify1.8s

Counts
105 → 105

prune1.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.8b

regimes516.0ms

Accuracy

82.3% (5.1b remaining)

Error of 10.4b against oracle of 5.4b and baseline of 33.9b

bsearch170.0ms

end0.0ms

sample4.2s

Algorithm
intervals
Results
1.1s953×body1280valid
1.0s1141×body2560valid
752.0ms5730×body80valid
334.0ms2783×body80nan
243.0ms400×body640valid
122.0ms96×body5120valid
114.0ms222×body320valid
105.0ms145×body160valid