Details

Time bar (total: 23.4s)

sample132.0ms

Algorithm
intervals
Results
85.0ms272×body80valid
20.0ms99×body80nan

simplify208.0ms

Counts
1 → 1
Iterations
IterNodes
8160
7160
6159
5152
4140
3108
263
136
020

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.8b

localize155.0ms

Local error

Found 4 expressions with local error:

0.6b
(- (* b b) (* (* 4 a) c))
1.1b
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
24.5b
(sqrt (- (* b b) (* (* 4 a) c)))
24.5b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
61×prod-diff
53×add-sqr-sqrt
51×*-un-lft-identity
47×add-cube-cbrt
37×sqrt-prod
22×distribute-rgt-neg-in
21×distribute-lft-neg-in
11×fma-neg
10×add-log-exp
7×neg-mul-1
6×pow1
4×expm1-log1p-u flip3-- add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u flip--
3×diff-log
2×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 neg-log
Counts
4 → 144
Calls
4 calls:
11.0ms
(- (* b b) (* (* 4 a) c))
19.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
20.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
22.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series386.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(- (* b b) (* (* 4 a) c))
94.0ms
(- (- b) (sqrt (- (* b b) (* (* 4 a) c))))
105.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
129.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify2.1s

Counts
156 → 156
Iterations
IterNodes
33463
21118
1426
0183

prune2.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.5b

localize151.0ms

Local error

Found 4 expressions with local error:

9.5b
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
24.5b
(sqrt (- (* b b) (* (* 4 a) c)))
24.5b
(sqrt (- (* b b) (* (* 4 a) c)))
24.5b
(sqrt (- (* b b) (* (* 4 a) c)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
10×fma-def *-un-lft-identity add-cube-cbrt
9×sqrt-prod
8×add-log-exp
7×pow1
6×sqrt-div
4×expm1-log1p-u add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u
3×distribute-lft-neg-in rem-sqrt-square distribute-rgt-neg-in sqrt-pow1 flip3-- pow1/2 flip--
2×sum-log
1×neg-sub0 +-commutative neg-mul-1 flip3-+ neg-log associate-+l- flip-+
Counts
4 → 80
Calls
4 calls:
19.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
20.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
11.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
19.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

series442.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(+ (- b) (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))))
129.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
90.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
124.0ms
(sqrt (- (* b b) (* (* 4 a) c)))

simplify1.1s

Counts
92 → 92
Iterations
IterNodes
32640
2785
1248
091

prune1.6s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.5b

localize172.0ms

Local error

Found 4 expressions with local error:

24.5b
(sqrt (- (* b b) (* (* 4 a) c)))
25.3b
(cbrt (- (* b b) (* (* 4 a) c)))
25.3b
(cbrt (- (* b b) (* (* 4 a) c)))
25.3b
(cbrt (- (* b b) (* (* 4 a) c)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×cbrt-div
5×pow1
4×expm1-log1p-u flip3-- add-cbrt-cube add-exp-log insert-posit16 log1p-expm1-u flip-- add-log-exp
3×pow1/3 sqrt-prod
2×sqrt-div
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 66
Calls
4 calls:
29.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
12.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
6.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
6.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series442.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(sqrt (- (* b b) (* (* 4 a) c)))
109.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
117.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
138.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

simplify721.0ms

Counts
78 → 78
Iterations
IterNodes
32005
2612
1213
093

prune1.7s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.5b

localize177.0ms

Local error

Found 4 expressions with local error:

25.3b
(cbrt (- (* b b) (* (* 4 a) c)))
25.3b
(cbrt (- (* b b) (* (* 4 a) c)))
25.3b
(cbrt (- (* b b) (* (* 4 a) c)))
25.3b
(cbrt (- (* b b) (* (* 4 a) c)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt cbrt-div *-un-lft-identity add-cube-cbrt
4×expm1-log1p-u pow1 flip3-- add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u flip-- add-log-exp
Counts
4 → 64
Calls
4 calls:
11.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
6.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
5.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

series895.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
140.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
147.0ms
(cbrt (- (* b b) (* (* 4 a) c)))
472.0ms
(cbrt (- (* b b) (* (* 4 a) c)))

simplify3.4s

Counts
76 → 76
Iterations
IterNodes
45778
31662
2485
1158
066

prune2.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.5b

regimes510.0ms

Accuracy

88.8% (1.4b remaining)

Error of 8.2b against oracle of 6.7b and baseline of 19.5b

bsearch398.0ms

Steps
ItersRangePoint
9
1.9710174875302874e+32
1.945305249879839e+37
1.37593608973837e+37
8
-3.585760457965514e+97
-4.884785332531034e+94
-1.56549847594674e+97

simplify28.0ms

Iterations
IterNodes
262
162
050

end0.0ms

sample3.5s

Algorithm
intervals
Results
2.0s8694×body80valid
1.1s2862×body80nan