Details

Time bar (total: 4.2s)

sample357.0ms

Algorithm
intervals
Results
7.0ms40×body2560valid
6.0ms43×body1280valid
6.0ms179×body80valid
3.0ms77×body80nan
1.0ms10×body640valid
0.0ms5×body320valid
0.0ms1×body5120valid
0.0ms3×body160valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0197
1337
2467
3497
4497
done497

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0b
(- (* b_2 b_2) (* a c))
1.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
24.7b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite153.0ms

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-exp-log add-cbrt-cube
5×pow1
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×diff-log associate-/r*
2×sub-neg sqrt-div associate-/l/
1×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log clear-num div-inv
Counts
4 → 171
Calls
4 calls:
72.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
13.0ms
(- (* b_2 b_2) (* a c))
30.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
27.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series282.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
39.0ms
(- (* b_2 b_2) (* a c))
73.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
80.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify69.0ms

Counts
183 → 183
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05493055
118262150
250022063
done50022063

prune350.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
1.0b
(- (* b_2 b_2) (* a c))
1.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
24.7b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite146.0ms

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×add-exp-log associate-*r*
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 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×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square rec-exp sqrt-pow1 pow1/2 1-exp associate-*r/ pow-prod-down neg-log un-div-inv *-commutative div-inv
Counts
4 → 169
Calls
4 calls:
87.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
8.0ms
(- (* b_2 b_2) (* a c))
31.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
11.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series262.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ 1 a))
36.0ms
(- (* b_2 b_2) (* a c))
74.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
63.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify74.0ms

Counts
181 → 181
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
06092985
123341993
250021940
done50021940

prune316.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 5.5b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
1.0b
(- (* b_2 b_2) (* a c))
1.0b
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
24.7b
(sqrt (- (* b_2 b_2) (* a c)))

rewrite128.0ms

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-exp-log add-cbrt-cube
5×pow1
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×diff-log associate-/r*
2×sub-neg sqrt-div associate-/l/
1×cbrt-undiv associate--l- neg-sub0 rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub div-exp neg-log clear-num div-inv
Counts
4 → 171
Calls
4 calls:
71.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
10.0ms
(- (* b_2 b_2) (* a c))
29.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
11.0ms
(sqrt (- (* b_2 b_2) (* a c)))

series263.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(/ (- (- b_2) (sqrt (- (* b_2 b_2) (* a c)))) a)
38.0ms
(- (* b_2 b_2) (* a c))
71.0ms
(- (- b_2) (sqrt (- (* b_2 b_2) (* a c))))
66.0ms
(sqrt (- (* b_2 b_2) (* a c)))

simplify65.0ms

Counts
183 → 183
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05493055
118262150
250022063
done50022063

prune322.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 5.5b

localize5.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune0.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 5.5b

regimes237.0ms

Accuracy

85.2% (4.2b remaining)

Error of 10.1b against oracle of 5.9b and baseline of 34.5b

bsearch67.0ms

Steps
ItersRangePoint
5
3.355600980676121e+98
1.2784432988208537e+99
5.722235152988638e+98
9
-7.880786648230988e-89
-3.5843833042003497e-96
-4.706781135059312e-92

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03616
14016
24016
done4016

end0.0ms

sample1.0s

Algorithm
intervals
Results
199.0ms1071×body2560valid
188.0ms5900×body80valid
140.0ms898×body1280valid
82.0ms2873×body80nan
53.0ms441×body640valid
26.0ms102×body5120valid
20.0ms227×body320valid
7.0ms120×body160valid