Details

Time bar (total: 16.5s)

sample79.0ms

Algorithm
intervals
Results
38.0ms281×body80valid
12.0ms87×body80nan

simplify164.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize153.0ms

Local error

Found 4 expressions with local error:

0.4b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
1.0b
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
23.1b
(sqrt (- (* b b) (* (* 4 a) c)))
23.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite55.0ms

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-cbrt-cube sqrt-div add-exp-log insert-posit16
3×flip3-- flip--
2×neg-sub0 rem-sqrt-square sum-log distribute-rgt-neg-in sqrt-pow1 pow1/2 diff-log neg-log distribute-lft-out distribute-lft-out-- difference-of-squares
1×associate--l- +-commutative sub-neg flip3-+ associate-+l- flip-+
Counts
4 → 67
Calls
4 calls:
14.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
19.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
8.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
13.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series449.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
103.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
106.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
107.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.3s

Counts
79 → 79
Iterations
IterNodes
done5001
32725
2773
1250
0102

prune660.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.5b

localize173.0ms

Local error

Found 4 expressions with local error:

12.2b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
23.1b
(sqrt (- (* b b) (* (* 4 a) c)))
23.1b
(sqrt (- (* b b) (* (* 4 a) c)))
23.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
8×add-log-exp
7×pow1 *-un-lft-identity add-cube-cbrt
6×sqrt-div
4×add-cbrt-cube add-exp-log insert-posit16
3×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 flip--
2×sum-log
1×neg-sub0 +-commutative flip3-+ neg-log associate-+l- flip-+
Counts
4 → 62
Calls
4 calls:
22.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
14.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series405.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
108.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
89.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
93.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.2s

Counts
74 → 74
Iterations
IterNodes
done5000
32806
2727
1232
087

prune732.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.5b

localize228.0ms

Local error

Found 4 expressions with local error:

23.1b
(sqrt (- (* b b) (* (* 4 a) c)))
23.1b
(sqrt (- (* b b) (* (* 4 a) c)))
23.1b
(sqrt (- (* b b) (* (* 4 a) c)))
23.1b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt sqrt-prod
8×pow1 *-un-lft-identity sqrt-div add-cube-cbrt
4×rem-sqrt-square sqrt-pow1 flip3-- add-cbrt-cube pow1/2 add-exp-log insert-posit16 flip-- add-log-exp
Counts
4 → 64
Calls
4 calls:
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
7.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
12.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
13.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series418.0ms

Counts
4 → 12
Calls
4 calls:
100.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
109.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
108.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
100.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.5s

Counts
76 → 76
Iterations
IterNodes
done5010
31558
2418
1129
052

prune830.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 6.5b

localize223.0ms

Local error

Found 4 expressions with local error:

23.1b
(sqrt (- (* b b) (* (* 4 a) c)))
23.9b
(cbrt (- (* b b) (* (* 4 a) c)))
23.9b
(cbrt (- (* b b) (* (* 4 a) c)))
23.9b
(cbrt (- (* b b) (* (* 4 a) c)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-div
5×pow1
4×flip3-- add-cbrt-cube add-exp-log insert-posit16 flip-- add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 58
Calls
4 calls:
16.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
10.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
10.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series501.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
118.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
125.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
149.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

simplify1.6s

Counts
70 → 70
Iterations
IterNodes
done5002
31931
2578
1202
089

prune693.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 6.5b

regimes336.0ms

Accuracy

92.9% (1.0b remaining)

Error of 6.9b against oracle of 5.9b and baseline of 20.1b

bsearch675.0ms

Steps
ItersRangePoint
10
6.2301214455520334e+75
1.5034565205168897e+88
1.2635309152827781e+88
10
-4.186518194588193e+147
-3.370135567630554e+133
-1.3902005753272015e+143

simplify11.0ms

Iterations
IterNodes
done45
145
038

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.4s8737×body80valid
282.0ms2854×body80nan