Details

Time bar (total: 19.1s)

sample89.0ms

Algorithm
intervals
Results
55.0ms273×body80valid
15.0ms81×body80nan

simplify223.0ms

Counts
1 → 1
Iterations
IterNodes
8168
7168
6166
5160
4151
3125
275
138
020

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize143.0ms

Local error

Found 4 expressions with local error:

1.2b
(- (* b b) (* (* 4 a) c))
2.7b
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
23.5b
(sqrt (- (* b b) (* (* 4 a) c)))
23.5b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
10×*-un-lft-identity add-log-exp
8×add-sqr-sqrt
6×pow1 add-cube-cbrt sqrt-prod
4×add-cbrt-cube sqrt-div add-exp-log insert-posit16
3×flip3-- flip--
2×rem-sqrt-square sum-log sqrt-pow1 pow1/2 distribute-lft-out
1×neg-sub0 +-commutative sub-neg distribute-rgt-neg-in flip3-+ diff-log neg-log associate-+l- flip-+
Counts
4 → 61
Calls
4 calls:
8.0ms
(- (* b b) (* (* 4 a) c))
26.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
13.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
13.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series366.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (* b b) (* (* 4 a) c))
99.0ms
(+ (- b) (sqrt (- (* b b) (* (* 4 a) c))))
113.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
97.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.1s

Counts
73 → 73
Iterations
IterNodes
32749
2795
1247
095

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.5b

localize163.0ms

Local error

Found 4 expressions with local error:

12.3b
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
23.5b
(sqrt (- (* b b) (* (* 4 a) c)))
23.5b
(sqrt (- (* b b) (* (* 4 a) c)))
23.5b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×sqrt-prod
8×add-log-exp
7×pow1 *-un-lft-identity add-cube-cbrt
6×sqrt-div
4×flip3-- add-cbrt-cube add-exp-log insert-posit16 flip--
3×rem-sqrt-square sqrt-pow1 pow1/2
2×diff-log
1×associate--l- neg-sub0 sub-neg neg-log difference-of-squares
Counts
4 → 64
Calls
4 calls:
9.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
8.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
14.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series470.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(- (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
118.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
114.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
104.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify869.0ms

Counts
76 → 76
Iterations
IterNodes
32116
2660
1226
091

prune1.4s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.2b

localize180.0ms

Local error

Found 4 expressions with local error:

6.9b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
23.5b
(sqrt (- (* b b) (* (* 4 a) c)))
23.5b
(sqrt (- (* b b) (* (* 4 a) c)))
23.5b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite57.0ms

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:
16.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
14.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
10.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series443.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
78.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
120.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
126.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.4s

Counts
74 → 74
Iterations
IterNodes
32296
2718
1232
087

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 6.2b

localize223.0ms

Local error

Found 4 expressions with local error:

23.5b
(sqrt (- (* b b) (* (* 4 a) c)))
24.3b
(cbrt (- (* b b) (* (* 4 a) c)))
24.3b
(cbrt (- (* b b) (* (* 4 a) c)))
24.3b
(cbrt (- (* b b) (* (* 4 a) c)))

rewrite51.0ms

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:
15.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
11.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
14.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
9.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series390.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
99.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
97.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
109.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

simplify3.5s

Counts
70 → 70
Iterations
IterNodes
46507
31880
2582
1202
089

prune1.6s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 6.2b

regimes413.0ms

Accuracy

93.5% (0.9b remaining)

Error of 6.7b against oracle of 5.8b and baseline of 19.8b

bsearch227.0ms

Steps
ItersRangePoint
6
1.890398075878753e+149
8.723340275486535e+149
1.9790239803107722e+149
5
-4.5624341740005415e+97
-1.2645606246842859e+97
-4.463381827278506e+97

simplify21.0ms

Iterations
IterNodes
250
150
042

end0.0ms

sample3.0s

Algorithm
intervals
Results
2.1s8740×body80valid
542.0ms2863×body80nan