Details

Time bar (total: 4.2s)

sample81.0ms

Algorithm
intervals
Results
21.0ms122×body320valid
14.0ms506×pre80true
11.0ms250×body80nan
10.0ms104×body160valid
2.0ms13×body640valid
1.0ms17×body80valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
09116
19116

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 54.8b

Counts
2 → 1

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* b b) (* 4.0 (* a c))))
0.1b
(- (* b b) (* 4.0 (* a c)))
0.1b
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
28.5b
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×*-un-lft-identity
9×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
6×times-frac sqrt-prod associate-/l* difference-of-squares
5×pow1
4×flip3-- flip--
3×distribute-lft-out--
2×cbrt-undiv sub-neg sqrt-div diff-log div-exp associate-/l/
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 div-sub prod-exp clear-num associate-/r* cbrt-unprod div-inv
Counts
4 → 72
Calls
4 calls:
3.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
3.0ms
(- (* b b) (* 4.0 (* a c)))
12.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
7.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

series61.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sqrt (- (* b b) (* 4.0 (* a c))))
8.0ms
(- (* b b) (* 4.0 (* a c)))
25.0ms
(/ (- (sqrt (- (* b b) (* 4.0 (* a c)))) b) (* a 2.0))
15.0ms
(- (sqrt (- (* b b) (* 4.0 (* a c)))) b)

simplify46.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
049591319
149591319

prune119.0ms

Filtered
62 candidates to 84 candidates (-35.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New81384
Fresh000
Picked011
Done000
Total81485

Merged error: 0.1b

Counts
85 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ b (sqrt (- (* b b) (* 4.0 (* a c)))))
0.1b
(- (* b b) (* 4.0 (* a c)))
0.2b
(/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c))))))
0.3b
(/ (/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c)))))) (* a 2.0))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
54×times-frac
51×*-un-lft-identity
29×add-sqr-sqrt add-cube-cbrt
21×associate-/l*
18×add-exp-log add-cbrt-cube
11×distribute-lft-out
8×add-log-exp
7×cbrt-undiv div-exp
6×associate-/r/
5×associate-/r*
4×pow1 flip3-+ flip-+ div-inv
3×div-sub distribute-frac-neg associate-/l/
2×flip3-- frac-2neg sub0-neg prod-exp clear-num flip-- cbrt-unprod
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 119
Calls
4 calls:
5.0ms
(+ b (sqrt (- (* b b) (* 4.0 (* a c)))))
3.0ms
(- (* b b) (* 4.0 (* a c)))
9.0ms
(/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c))))))
12.0ms
(/ (/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c)))))) (* a 2.0))

series121.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ b (sqrt (- (* b b) (* 4.0 (* a c)))))
8.0ms
(- (* b b) (* 4.0 (* a c)))
54.0ms
(/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c))))))
43.0ms
(/ (/ (- 0 (* 4.0 (* a c))) (+ b (sqrt (- (* b b) (* 4.0 (* a c)))))) (* a 2.0))

simplify39.0ms

Algorithm
egg-herbie
Counts
131 → 131
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
051033100

prune234.0ms

Filtered
98 candidates to 131 candidates (-33.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1256131
Fresh112
Picked101
Done101
Total1287135

Merged error: 0b

Counts
135 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
0.1b
(- (* b b) (* 4.0 (* a c)))
0.2b
(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
0.3b
(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* a 2.0))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log add-cbrt-cube
34×times-frac
30×add-sqr-sqrt *-un-lft-identity
17×cbrt-undiv div-exp
14×associate-/l*
13×prod-exp cbrt-unprod
10×add-cube-cbrt distribute-lft-out-- add-log-exp difference-of-squares
8×associate-/r*
6×associate-/r/
5×flip3-- distribute-rgt-neg-in sqrt-prod flip--
4×pow1 div-inv
3×diff-log
2×sub-neg frac-2neg clear-num
1×associate--l- neg-sub0 neg-log associate-/l/
Counts
4 → 117
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
3.0ms
(- (* b b) (* 4.0 (* a c)))
12.0ms
(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
16.0ms
(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* a 2.0))

series125.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
10.0ms
(- (* b b) (* 4.0 (* a c)))
55.0ms
(/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))))
45.0ms
(/ (/ (* 4.0 (* a c)) (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))) (* a 2.0))

simplify41.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
055972606

prune172.0ms

Filtered
79 candidates to 129 candidates (-63.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1263129
Fresh336
Picked101
Done000
Total1306136

Merged error: 0b

Counts
136 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
0.0b
(/ 1 (* (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0))
0.1b
(- (* b b) (* 4.0 (* a c)))
0.3b
(* (* 4.0 c) (/ 1 (* (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0)))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
60×add-exp-log
30×prod-exp add-cbrt-cube
12×pow1 add-sqr-sqrt *-un-lft-identity div-exp cbrt-unprod
10×add-log-exp
9×associate-*r*
8×add-cube-cbrt
6×cbrt-undiv rec-exp times-frac 1-exp
4×flip3-- pow-prod-down associate-*l/ associate-/r/ flip--
3×diff-log associate-/l*
2×sub-neg pow-flip div-inv distribute-lft-out-- difference-of-squares
1×associate--l- neg-sub0 distribute-rgt-neg-in frac-2neg associate-*r/ associate-*l* neg-log clear-num associate-/r* sqrt-prod un-div-inv *-commutative inv-pow
Counts
4 → 102
Calls
4 calls:
8.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
11.0ms
(/ 1 (* (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0))
4.0ms
(- (* b b) (* 4.0 (* a c)))
19.0ms
(* (* 4.0 c) (/ 1 (* (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0)))

series99.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(- (neg b) (sqrt (- (* b b) (* 4.0 (* a c)))))
25.0ms
(/ 1 (* (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0))
11.0ms
(- (* b b) (* 4.0 (* a c)))
48.0ms
(* (* 4.0 c) (/ 1 (* (- (neg b) (sqrt (- (* b b) (* 4.0 (* a c))))) 2.0)))

simplify58.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
050041869

prune257.0ms

Filtered
68 candidates to 114 candidates (-67.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1140114
Fresh055
Picked011
Done000
Total1146120

Merged error: 0b

Counts
120 → 6

regimes174.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02321
12321

end0.0ms

sample2.3s

Algorithm
intervals
Results
512.0ms3669×body320valid
442.0ms16272×pre80true
381.0ms8272×body80nan
274.0ms2919×body160valid
96.0ms523×body640valid
42.0ms889×body80valid

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