Details

Time bar (total: 5.2s)

sample23.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
6.0ms229×body80nan

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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: 0.4b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.4b
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

rewrite28.0ms

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:
9.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
7.0ms
(* 6.0 (- x 1.0))
11.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

series160.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
44.0ms
(* 6.0 (- x 1.0))
79.0ms
(/ (* 6.0 (- x 1.0)) (+ (+ x 1.0) (* 4.0 (sqrt x))))

simplify53.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0377495
11642421
25001420

prune151.0ms

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

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

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)))
11.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
11.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))

series191.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
78.0ms
(/ 6.0 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0)))
76.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (- x 1.0))

simplify86.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
06412084
129421986
250021984

prune368.0ms

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

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
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))))) (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0)))
0.1b
(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

rewrite162.0ms

Algorithm
rewrite-expression-head
Rules
2328×times-frac
1260×add-sqr-sqrt
1259×*-un-lft-identity
945×add-cube-cbrt
741×sqrt-prod
157×distribute-lft-out-- difference-of-squares
129×associate-/r/
80×sqrt-div
65×div-inv
47×associate-/r*
40×flip3-+ flip-+
33×associate-/l*
26×flip3-- flip--
20×add-exp-log add-cbrt-cube
10×cbrt-undiv div-exp
5×pow1
4×add-log-exp
3×frac-2neg clear-num associate-/l/
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 1057
Calls
4 calls:
5.0ms
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
10.0ms
(/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0))
38.0ms
(/ (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0)))
8.0ms
(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

series426.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))
149.0ms
(/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0))
76.0ms
(/ (/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x))))) (/ (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))) (- x 1.0)))
125.0ms
(/ 6.0 (sqrt (+ (+ x 1.0) (* 4.0 (sqrt x)))))

simplify322.0ms

Algorithm
egg-herbie
Counts
1069 → 1069
Iterations

Useful iterations: 1 (71.0ms)

IterNodesCost
0353330592
1500229536

prune2.0s

Filtered
1069 candidates to 490 candidates (45.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New106901069
Fresh011
Picked011
Done011
Total106931072

Merged error: 0b

Counts
1072 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (+ x 1.0) (* 4.0 (sqrt x)))
0.0b
(* 6.0 (- x 1.0))
0.0b
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
0.5b
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
30×add-sqr-sqrt
28×*-un-lft-identity
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
9×add-log-exp
7×pow1 cbrt-undiv
6×flip3-- flip-- div-inv associate-/l*
5×associate-*r* prod-exp
3×rec-exp 1-exp associate-*l* sum-log cbrt-unprod
2×distribute-rgt-in sub-neg frac-2neg distribute-lft-in flip3-+ clear-num flip-+ associate-/l/
1×+-commutative associate-+l+ pow-flip pow-prod-down *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 128
Calls
4 calls:
5.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
6.0ms
(* 6.0 (- x 1.0))
16.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
11.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

series245.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(+ (+ x 1.0) (* 4.0 (sqrt x)))
39.0ms
(* 6.0 (- x 1.0))
80.0ms
(/ 1 (/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0))))
83.0ms
(/ (+ (+ x 1.0) (* 4.0 (sqrt x))) (* 6.0 (- x 1.0)))

simplify84.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
05581339
126681170
250011122

prune226.0ms

Filtered
140 candidates to 82 candidates (58.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1400140
Fresh000
Picked011
Done022
Total1403143

Merged error: 0b

Counts
143 → 3

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0147
1147

end0.0ms

sample594.0ms

Algorithm
intervals
Results
227.0ms8000×body80valid
200.0ms7833×body80nan