Details

Time bar (total: 17.7s)

sample112.0ms

Algorithm
intervals
Results
69.0ms277×body80valid
15.0ms70×body80nan

simplify187.0ms

Counts
1 → 1
Iterations
IterNodes
done152
7152
6151
5144
4132
3101
262
135
020

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize177.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4 a) c))
1.0b
(- (* b b) (* (* 4 a) c))
19.1b
(sqrt (- (* b b) (* (* 4 a) c)))
19.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt add-log-exp
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
4×flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 flip--
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log
Counts
4 → 58
Calls
4 calls:
10.0ms
(- (* b b) (* (* 4 a) c))
12.0ms
(- (* b b) (* (* 4 a) c))
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series318.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(- (* b b) (* (* 4 a) c))
51.0ms
(- (* b b) (* (* 4 a) c))
82.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
104.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.8s

Counts
70 → 70
Iterations
IterNodes
done5000
32009
2517
1158
063

prune557.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.8b

localize181.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4 a) c))
2.7b
(/ (+ (- b) (- (* 2 (/ (* a c) b)) b)) (* 2 a))
5.0b
(/ (* a c) b)
19.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
14×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
9×add-cube-cbrt
8×times-frac
6×associate-/l* add-log-exp
5×pow1
4×cbrt-undiv associate-/r* div-exp insert-posit16 distribute-lft-out
3×sqrt-prod
2×clear-num distribute-rgt-neg-in frac-2neg flip3-- sqrt-div div-sub prod-exp cbrt-unprod div-inv flip-- associate-/l/
1×neg-sub0 rem-sqrt-square associate-+r- sub-neg sqrt-pow1 flip3-+ pow1/2 diff-log associate-+l- flip-+
Counts
4 → 81
Calls
4 calls:
10.0ms
(- (* b b) (* (* 4 a) c))
141.0ms
(/ (+ (- b) (- (* 2 (/ (* a c) b)) b)) (* 2 a))
16.0ms
(/ (* a c) b)
14.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series264.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(- (* b b) (* (* 4 a) c))
56.0ms
(/ (+ (- b) (- (* 2 (/ (* a c) b)) b)) (* 2 a))
28.0ms
(/ (* a c) b)
107.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.5s

Counts
93 → 93
Iterations
IterNodes
done5000
21774
1441
0163

prune809.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.5b

localize160.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 4 a) c)
0.9b
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
1.0b
(- (* b b) (* (* 4 a) c))
19.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×pow1 *-un-lft-identity add-log-exp
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
4×sqrt-prod insert-posit16
3×flip3-- diff-log associate-*r* pow-prod-down prod-exp cbrt-unprod flip--
2×sub-neg sqrt-div distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 pow1/2 associate-*l* neg-log *-commutative
Counts
4 → 67
Calls
4 calls:
27.0ms
(* (* 4 a) c)
30.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
8.0ms
(- (* b b) (* (* 4 a) c))
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* 4 a) c)
105.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
85.0ms
(- (* b b) (* (* 4 a) c))
107.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.8s

Counts
79 → 79
Iterations
IterNodes
done5004
33772
2998
1317
0129

prune506.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.0b

localize163.0ms

Local error

Found 4 expressions with local error:

1.0b
(- (* b b) (* (* 4 a) c))
8.2b
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
19.1b
(sqrt (- (* b b) (* (* 4 a) c)))
19.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
9×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod
4×flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 flip--
3×diff-log
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2
1×associate--l- neg-sub0 neg-log difference-of-squares
Counts
4 → 61
Calls
4 calls:
12.0ms
(- (* b b) (* (* 4 a) c))
12.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series366.0ms

Counts
4 → 12
Calls
4 calls:
61.0ms
(- (* b b) (* (* 4 a) c))
114.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
85.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
106.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.3s

Counts
73 → 73
Iterations
IterNodes
done5000
33230
2798
1254
0102

prune591.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.0b

regimes452.0ms

Accuracy

91.4% (1.2b remaining)

Error of 6.9b against oracle of 5.7b and baseline of 19.4b

bsearch350.0ms

Steps
ItersRangePoint
6
4.8498614244770303e+48
2.0602804194761557e+49
2.0410715251838527e+49
10
-9.235597319251238e+162
-1.2115114540629089e+151
-4.600306435637794e+151

simplify9.0ms

Iterations
IterNodes
done52
152
044

end0.0ms

sample3.4s

Algorithm
intervals
Results
2.0s8721×body80valid
539.0ms2938×body80nan