Details

Time bar (total: 5.1s)

sample95.0ms

Algorithm
intervals
Results
46.0ms101×body1280valid
23.0ms95×body640valid
7.0ms249×body80nan
6.0ms38×body320valid
2.0ms17×body160valid
0.0ms5×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3656
4986
51226
61356
71376
81376

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: 58.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
5.1b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
5×log-div
4×associate-/r/ associate-/l/
3×log-prod clear-num
2×flip3-- frac-2neg flip3-+ flip-- flip-+ div-inv
1×log-rec
Counts
2 → 16
Calls
2 calls:
4.0ms
(/ (+ 1.0 x) (- 1.0 x))
4.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (+ 1.0 x) (- 1.0 x))
126.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify52.0ms

Algorithm
egg-herbie
Counts
22 → 22
Iterations

Useful iterations: 3 (49.0ms)

IterNodesCost
0170135
1520128
21878119
35003117

prune66.0ms

Filtered
22 candidates to 20 candidates (90.9%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New19322
Fresh000
Picked101
Done000
Total20323

Merged error: 0.1b

Counts
23 → 3

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
7×associate-*r/
6×unpow2 sqr-pow
5×associate-*r*
4×times-frac
2×clear-num associate-/r* associate-/l*
1×frac-2neg un-div-inv *-commutative div-inv
Counts
1 → 14
Calls
1 calls:
5.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify34.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05429
117529
289029
3500229

prune55.0ms

Filtered
17 candidates to 14 candidates (82.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New17017
Fresh022
Picked011
Done000
Total17320

Merged error: 0.1b

Counts
20 → 3

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* 1.0 x))
0.0b
(* (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
5.1b
(log (* (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
28×frac-times
23×log-div flip3-+ flip-+
14×associate-*l/
12×associate-/r* associate-/l/ sqr-pow
7×*-commutative
6×difference-cubes frac-2neg associate-*l* clear-num difference-of-squares
5×+-commutative log-prod
4×distribute-rgt-in associate-+r+ distribute-lft-in associate-*r/ associate-/r/
2×distribute-rgt-out flip3-- fma-def flip-- div-inv distribute-lft-out
Counts
3 → 72
Calls
3 calls:
4.0ms
(+ (* x x) (* 1.0 x))
13.0ms
(* (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
14.0ms
(log (* (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))

series280.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ (* x x) (* 1.0 x))
64.0ms
(* (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
162.0ms
(log (* (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07011309
134381284
250011248

prune299.0ms

Filtered
81 candidates to 67 candidates (82.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New79281
Fresh101
Picked011
Done011
Total80484

Merged error: 0.1b

Counts
84 → 4

localize32.0ms

Local error

Found 4 expressions with local error:

4.2b
(+ (log (/ (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (fma 1.0 1.0 (- (fma x x (* 1.0 x))))) (fma 1.0 1.0 (fma x x (* 1.0 x))))) (log (/ (+ 1.0 x) 1)))
5.1b
(log (* (- 1.0 x) (- (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
5.1b
(log (/ (+ 1.0 x) 1))
5.2b
(log (/ (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (fma 1.0 1.0 (- (fma x x (* 1.0 x))))) (fma 1.0 1.0 (fma x x (* 1.0 x)))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
28×log-div
10×clear-num
6×log-prod flip3-- log-rec flip--
5×associate-+l- associate-+r-
4×frac-times frac-2neg div-inv associate-/l/ associate-/l*
3×flip3-+ *-commutative flip-+
2×associate-*r/ associate-*l/
1×+-commutative associate-+l+ associate-+r+ distribute-neg-out unsub-neg sum-log
Counts
4 → 43
Calls
4 calls:
7.0ms
(+ (log (/ (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (fma 1.0 1.0 (- (fma x x (* 1.0 x))))) (fma 1.0 1.0 (fma x x (* 1.0 x))))) (log (/ (+ 1.0 x) 1)))
11.0ms
(log (* (- 1.0 x) (- (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
3.0ms
(log (/ (+ 1.0 x) 1))
3.0ms
(log (/ (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (fma 1.0 1.0 (- (fma x x (* 1.0 x))))) (fma 1.0 1.0 (fma x x (* 1.0 x)))))

series393.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(+ (log (/ (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (fma 1.0 1.0 (- (fma x x (* 1.0 x))))) (fma 1.0 1.0 (fma x x (* 1.0 x))))) (log (/ (+ 1.0 x) 1)))
110.0ms
(log (* (- 1.0 x) (- (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
40.0ms
(log (/ (+ 1.0 x) 1))
80.0ms
(log (/ (* (fma 1.0 1.0 (fma x x (* 1.0 x))) (fma 1.0 1.0 (- (fma x x (* 1.0 x))))) (fma 1.0 1.0 (fma x x (* 1.0 x)))))

simplify57.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0529761
12209704
25001654

prune266.0ms

Filtered
55 candidates to 53 candidates (96.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New54155
Fresh011
Picked101
Done022
Total55459

Merged error: 0.1b

Counts
59 → 4

regimes28.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01610
11610

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.7s3346×body1280valid
643.0ms2581×body640valid
225.0ms7878×body80nan
185.0ms1238×body320valid
56.0ms625×body160valid
9.0ms210×body80valid