Details

Time bar (total: 22.4s)

sample377.0ms

Algorithm
intervals
Results
33.0ms32×body2560valid
31.0ms199×body80valid
19.0ms26×body1280valid
14.0ms97×body80nan
9.0ms16×body640valid
8.0ms7×body5120valid
3.0ms6×body320valid
1.0ms4×body160valid

simplify100.0ms

Counts
1 → 1

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.2b

localize94.0ms

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)

rewrite378.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
78×*-un-lft-identity
61×prod-diff
58×add-cube-cbrt
38×sqrt-prod
26×distribute-rgt-neg-in
21×distribute-lft-neg-in times-frac
11×fma-neg
10×distribute-lft-out-- add-log-exp difference-of-squares
7×neg-mul-1 associate-/l*
6×add-cbrt-cube add-exp-log
5×pow1
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u 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 → 175
Calls
4 calls:
Slowest
128.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
106.0ms
(sqrt (- (* b_2 b_2) (* a c)))
87.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
49.0ms
(- (* b_2 b_2) (* a c))

series422.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
150.0ms
(sqrt (- (* b_2 b_2) (* a c)))
131.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
98.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
43.0ms
(- (* b_2 b_2) (* a c))

simplify738.0ms

Counts
187 → 187

prune2.6s

Pruning

8 alts after pruning (8 fresh and 0 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))
0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
79×add-sqr-sqrt
78×*-un-lft-identity
61×prod-diff
58×add-cube-cbrt
38×sqrt-prod
26×distribute-rgt-neg-in
21×distribute-lft-neg-in times-frac
11×fma-neg
10×distribute-lft-out-- add-log-exp difference-of-squares
7×neg-mul-1 associate-/l*
6×add-cbrt-cube add-exp-log
5×pow1
4×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u 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 → 175
Calls
4 calls:
Slowest
68.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
37.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
19.0ms
(sqrt (- (* b_2 b_2) (* a c)))
9.0ms
(- (* b_2 b_2) (* a c))

series362.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
126.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
100.0ms
(sqrt (- (* b_2 b_2) (* a c)))
94.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
41.0ms
(- (* b_2 b_2) (* a c))

simplify596.0ms

Counts
187 → 187

prune2.5s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.9b

localize45.0ms

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))))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
171×add-sqr-sqrt
170×*-un-lft-identity
165×times-frac
118×add-cube-cbrt
61×prod-diff
46×sqrt-prod
34×distribute-rgt-neg-in
27×associate-/r*
26×distribute-lft-out-- difference-of-squares
21×distribute-lft-neg-in
15×add-exp-log
11×fma-neg
10×add-log-exp
9×add-cbrt-cube associate-/r/
7×neg-mul-1 flip3-- div-exp flip--
6×pow1
5×div-inv
4×expm1-log1p-u insert-posit16 log1p-expm1-u
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 → 261
Calls
4 calls:
Slowest
32.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
18.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
9.0ms
(sqrt (- (* b_2 b_2) (* a c)))
7.0ms
(- (* b_2 b_2) (* a c))

series327.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
118.0ms
(/ 1 (/ a (- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))))
90.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
80.0ms
(sqrt (- (* b_2 b_2) (* a c)))
39.0ms
(- (* b_2 b_2) (* a c))

simplify1.1s

Counts
273 → 273

prune4.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.9b

localize56.0ms

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))

rewrite200.0ms

Algorithm
rewrite-expression-head
Rules
70×add-sqr-sqrt
63×*-un-lft-identity
61×prod-diff
54×add-cube-cbrt
35×sqrt-prod
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
13×associate-*r* add-exp-log
11×times-frac fma-neg
10×add-log-exp
9×add-cbrt-cube
7×pow1 neg-mul-1 associate-*l*
5×flip3-- flip--
4×expm1-log1p-u prod-exp insert-posit16 log1p-expm1-u distribute-lft-out-- difference-of-squares
3×diff-log unswap-sqr
2×frac-times sub-neg 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 → 173
Calls
4 calls:
Slowest
117.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
42.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
20.0ms
(sqrt (- (* b_2 b_2) (* a c)))
16.0ms
(- (* b_2 b_2) (* a c))

series408.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
129.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
126.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
108.0ms
(sqrt (- (* b_2 b_2) (* a c)))
45.0ms
(- (* b_2 b_2) (* a c))

simplify784.0ms

Counts
185 → 185

prune2.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.9b

regimes356.0ms

Accuracy

82.4% (5.0b remaining)

Error of 10.5b against oracle of 5.5b and baseline of 34.0b

bsearch152.0ms

end0.0ms

sample3.9s

Algorithm
intervals
Results
1.4s1141×body2560valid
702.0ms5730×body80valid
696.0ms953×body1280valid
343.0ms2783×body80nan
225.0ms400×body640valid
109.0ms222×body320valid
102.0ms96×body5120valid
31.0ms145×body160valid