Details

Time bar (total: 4.6s)

sample24.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
7.0ms272×body80nan

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0217
1397
2617
3807
41057
51147
61147

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.6b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 6.0 (- x 1.0))
0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.6b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
9×*-un-lft-identity
8×add-log-exp
7×add-cube-cbrt
5×pow1 associate-*r*
4×associate-*r/
3×times-frac associate-*l* associate-/r* sum-log
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/
1×+-commutative associate-+l+ frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
6.0ms
(* 6.0 (- x 1.0))
6.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
10.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series152.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(* 6.0 (- x 1.0))
35.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
77.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify47.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0377495
11642421
25001420

prune141.0ms

Filtered
73 candidates to 53 candidates (72.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New70373
Fresh000
Picked101
Done000
Total71374

Merged error: 0b

Counts
74 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
0.0b
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
103×add-sqr-sqrt *-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
8×add-log-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
3×pow1 sum-log
2×frac-2neg flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+l+
Counts
3 → 154
Calls
3 calls:
6.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
10.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
11.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

series184.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
71.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))
76.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))

simplify80.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
06412084
129421986
250011984

prune345.0ms

Filtered
163 candidates to 126 candidates (77.3%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1621163
Fresh112
Picked011
Done000
Total1633166

Merged error: 0b

Counts
166 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0))
0.1b
(/ 6.0 (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0)))
0.2b
(* (/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ 6.0 (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0))))
0.2b
(/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite178.0ms

Algorithm
rewrite-expression-head
Rules
533×times-frac
415×add-sqr-sqrt
350×*-un-lft-identity
244×add-cube-cbrt
157×sqrt-prod
113×associate-*r*
54×add-exp-log
49×distribute-lft-out-- difference-of-squares
47×associate-/r*
34×add-cbrt-cube
24×div-exp associate-*l*
22×associate-/r/
20×unswap-sqr
14×cbrt-undiv
12×prod-exp div-inv associate-/l*
8×pow1 flip3-- flip--
6×sqrt-div cbrt-unprod
4×rec-exp 1-exp add-log-exp
3×pow-flip frac-2neg flip3-+ clear-num flip-+
2×associate-/l/
1×frac-times sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 453
Calls
4 calls:
18.0ms
(/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0))
26.0ms
(/ 6.0 (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0)))
84.0ms
(* (/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ 6.0 (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0))))
8.0ms
(/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series458.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0))
148.0ms
(/ 6.0 (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0)))
77.0ms
(* (/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ 6.0 (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0))))
93.0ms
(/ 1 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify102.0ms

Algorithm
egg-herbie
Counts
465 → 465
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
015317703
150017218

prune917.0ms

Filtered
465 candidates to 267 candidates (57.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New4650465
Fresh011
Picked011
Done011
Total4653468

Merged error: 0b

Counts
468 → 3

localize19.0ms

Local error

Found 4 expressions with local error:

0.8b
(- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))
5.8b
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
9.6b
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
15.4b
(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
48×frac-add
42×frac-times
41×flip3-+ flip-+
32×associate-*r/
26×flip3-- flip--
18×add-exp-log add-cbrt-cube
15×*-un-lft-identity
13×associate-*l/
11×add-sqr-sqrt associate-*l* add-log-exp
10×times-frac
9×add-cube-cbrt
6×pow1
5×prod-exp associate-/r* cbrt-unprod
4×cbrt-undiv div-exp associate-/r/
3×associate-*r* sum-cubes distribute-lft-out
2×distribute-rgt-in sub-neg associate-+l+ associate-+r+ distribute-lft-in diff-log sum-log div-inv associate-/l/
1×+-commutative associate-+r- distribute-rgt-out-- frac-2neg pow-prod-down clear-num *-commutative associate-/l* unswap-sqr
Counts
4 → 144
Calls
4 calls:
8.0ms
(- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))
17.0ms
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
19.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
36.0ms
(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

series424.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))
83.0ms
(/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3)))
75.0ms
(+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x)))))
173.0ms
(* (/ (* 6.0 (- x 1.0)) (+ (pow (+ x 1.0) 3) (pow (* 4.0 (sqrt x)) 3))) (+ (* (+ x 1.0) (+ x 1.0)) (- (* (* 4.0 (sqrt x)) (* 4.0 (sqrt x))) (* (+ x 1.0) (* 4.0 (sqrt x))))))

simplify80.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
014645478
150025097

prune572.0ms

Filtered
156 candidates to 119 candidates (76.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1560156
Fresh000
Picked011
Done022
Total1563159

Merged error: 0b

Counts
159 → 3

regimes15.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0147
1147

end0.0ms

sample659.0ms

Algorithm
intervals
Results
255.0ms8000×body80valid
212.0ms8076×body80nan