Details

Time bar (total: 5.1s)

sample38.0ms

Algorithm
intervals
Results
15.0ms275×body80valid
4.0ms91×body80nan

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03518
16618
211618
314418
415918
516118
616118
done16118

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize84.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
1.6b
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-log-exp
7×sqrt-prod
6×pow1 add-cube-cbrt
4×add-exp-log sqrt-div add-cbrt-cube
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 pow1/2 diff-log neg-log sum-log distribute-lft-out distribute-lft-out-- difference-of-squares
1×+-commutative associate--l- associate-+l- sub-neg flip3-+ flip-+
Counts
4 → 63
Calls
4 calls:
22.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
22.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
13.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series313.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
82.0ms
(- (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
75.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify113.0ms

Counts
75 → 75
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0246646
1890606
23700588
35001584
done5001584

prune276.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.6b

localize89.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.3b
(/ (* 2.0 c) (- (* 2.0 (/ (* a c) b)) (* 2 b)))
4.7b
(/ (* a c) b)
22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-cbrt-cube
13×*-un-lft-identity
10×add-sqr-sqrt
9×add-cube-cbrt
8×add-log-exp
6×times-frac associate-/r*
5×pow1
4×cbrt-undiv div-exp
3×sqrt-prod
2×flip3-- frac-2neg sqrt-div prod-exp clear-num sum-log associate-/r/ flip-- cbrt-unprod div-inv distribute-lft-out associate-/l*
1×+-commutative neg-sub0 associate-+l- rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 flip3-+ pow1/2 neg-log flip-+
Counts
4 → 74
Calls
4 calls:
21.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
35.0ms
(/ (* 2.0 c) (- (* 2.0 (/ (* a c) b)) (* 2 b)))
10.0ms
(/ (* a c) b)
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series251.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
73.0ms
(/ (* 2.0 c) (- (* 2.0 (/ (* a c) b)) (* 2 b)))
20.0ms
(/ (* a c) b)
74.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify52.0ms

Counts
86 → 86
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0459640
12217559
25001554
done5001554

prune313.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.4b

localize89.0ms

Local error

Found 4 expressions with local error:

0.7b
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
4.3b
(/ (* 2.0 c) (- (* 2.0 (/ a (/ b c))) (* 2 b)))
6.1b
(/ a (/ b c))
22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
53×*-un-lft-identity
50×add-sqr-sqrt
49×add-cube-cbrt
16×associate-/r*
14×add-exp-log add-cbrt-cube
8×add-log-exp
6×div-inv
5×pow1 cbrt-undiv div-exp
4×associate-/l*
3×sqrt-prod associate-/r/
2×flip3-- frac-2neg sqrt-div clear-num sum-log flip-- distribute-lft-out
1×+-commutative neg-sub0 associate-+l- rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 flip3-+ pow1/2 neg-log prod-exp cbrt-unprod flip-+
Counts
4 → 123
Calls
4 calls:
21.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
31.0ms
(/ (* 2.0 c) (- (* 2.0 (/ a (/ b c))) (* 2 b)))
12.0ms
(/ a (/ b c))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series250.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4.0 a) c))))
73.0ms
(/ (* 2.0 c) (- (* 2.0 (/ a (/ b c))) (* 2 b)))
22.0ms
(/ a (/ b c))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify75.0ms

Counts
135 → 135
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
06811007
13143920
25001916
done5001916

prune558.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.4b

localize93.0ms

Local error

Found 4 expressions with local error:

6.1b
(/ a (/ b c))
12.7b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))
22.0b
(sqrt (- (* b b) (* (* 4.0 a) c)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
50×add-sqr-sqrt
48×add-cube-cbrt *-un-lft-identity
13×associate-/r*
9×add-exp-log add-cbrt-cube
8×add-log-exp
6×pow1 sqrt-prod
5×div-inv
4×sqrt-div
3×cbrt-undiv div-exp associate-/l*
2×rem-sqrt-square flip3-- sqrt-pow1 pow1/2 sum-log flip--
1×+-commutative neg-sub0 associate-+l- frac-2neg flip3-+ neg-log clear-num associate-/r/ flip-+
Counts
4 → 113
Calls
4 calls:
12.0ms
(/ a (/ b c))
11.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
9.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

series257.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ a (/ b c))
87.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4.0 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4.0 a) c))))))
76.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))
72.0ms
(sqrt (- (* b b) (* (* 4.0 a) c)))

simplify61.0ms

Counts
125 → 125
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0542997
12324874
25001869
done5001869

prune594.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 6.4b

regimes159.0ms

Accuracy

93.3% (1.0b remaining)

Error of 8.2b against oracle of 7.3b and baseline of 21.8b

bsearch193.0ms

Steps
ItersRangePoint
8
1.2146045965263502e+46
6.67231609761305e+48
4.5489750112210143e+48
10
-1.2433634659052315e+163
-5.7824766130184975e+150
-1.331884160044921e+154

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05867
15867
done5867

end0.0ms

sample997.0ms

Algorithm
intervals
Results
480.0ms8717×body80valid
142.0ms2863×body80nan