Details

Time bar (total: 5.6s)

sample115.0ms

Algorithm
intervals
Results
60.0ms115×body1280valid
18.0ms62×body640valid
13.0ms241×body80nan
9.0ms46×body320valid
3.0ms23×body160valid
1.0ms10×body80valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 57.7b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
7.6b
(log (/ (+ 1.0 x) (- 1.0 x)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
63×*-un-lft-identity
41×add-sqr-sqrt
40×times-frac
26×log-prod
23×add-cube-cbrt
11×distribute-lft-out
9×distribute-lft-out-- difference-of-squares
7×add-exp-log
5×associate-/r*
4×associate-/r/ add-cbrt-cube associate-/l*
3×pow1
2×flip3-- div-exp rem-log-exp flip-- div-inv associate-/l/ add-log-exp
1×cbrt-undiv log-div frac-2neg flip3-+ clear-num log-pow flip-+
Counts
2 → 82
Calls
2 calls:
7.0ms
(/ (+ 1.0 x) (- 1.0 x))
7.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

series8.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(/ (+ 1.0 x) (- 1.0 x))
5.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify117.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0318660
11025624
24261602
35003602

prune164.0ms

Filtered
58 candidates to 88 candidates (-51.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New81788
Fresh000
Picked101
Done000
Total82789

Merged error: 0.2b

Counts
89 → 7

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
69×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
35×add-cube-cbrt *-un-lft-identity
24×add-exp-log unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
6×pow-to-exp pow-exp add-cbrt-cube
3×pow1 associate-*l*
2×cbrt-unprod
1×cbrt-undiv associate-*r/ pow-prod-down *-commutative div-inv add-log-exp
Counts
1 → 110
Calls
1 calls:
20.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series5.0ms

Counts
1 → 3
Calls
1 calls:
5.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify50.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0528643
12205526
25001525

prune214.0ms

Filtered
68 candidates to 113 candidates (-66.2%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh066
Picked011
Done000
Total1137120

Merged error: 0.2b

Counts
120 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
0.0b
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
7.7b
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
7.7b
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
409×add-sqr-sqrt
383×*-un-lft-identity
300×times-frac
218×log-prod
208×difference-of-squares
156×unpow-prod-down cube-prod
106×associate-+l+
104×sqr-pow
97×add-cube-cbrt
80×distribute-lft-out
65×distribute-lft-out--
25×associate-/r*
13×difference-cubes
10×pow1 add-exp-log
6×log-div associate-/r/ log-pow add-cbrt-cube
4×flip3-+ flip-+ associate-/l* add-log-exp
3×associate-+r+ flip3-- rem-log-exp flip-- div-inv
2×associate-+r- div-exp associate-/l/
1×cbrt-undiv +-commutative associate-+l- frac-2neg clear-num sum-log
Counts
4 → 403
Calls
4 calls:
30.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
19.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
5.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
18.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

series24.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(+ (log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))) (log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))))
4.0ms
(/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3)))
4.0ms
(log (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))
5.0ms
(log (/ (+ 1.0 x) (- (pow 1.0 3) (pow x 3))))

simplify119.0ms

Algorithm
egg-herbie
Counts
415 → 415
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
09635315
131915218
250015193

prune972.0ms

Filtered
205 candidates to 415 candidates (-102.4%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New4114415
Fresh415
Picked101
Done101
Total4175422

Merged error: 0.0b

Counts
422 → 5

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ (* 1.6666666666666665 (pow x 3)) (+ (* 2 (log 1.0)) (* 2.0 x))) (* 1.0 (/ (pow x 3) (pow 1.0 2))))
0.1b
(* 1.6666666666666665 (pow x 3))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
11×add-log-exp
7×add-exp-log
6×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
3×diff-log associate-*l* prod-exp sum-log
2×pow1 associate-*r/ frac-sub sqr-pow
1×cube-mult pow-to-exp sub-neg flip3-- flip3-+ unpow3 pow-exp associate--l+ *-commutative flip-- cbrt-unprod flip-+
Counts
2 → 48
Calls
2 calls:
9.0ms
(- (+ (* 1.6666666666666665 (pow x 3)) (+ (* 2 (log 1.0)) (* 2.0 x))) (* 1.0 (/ (pow x 3) (pow 1.0 2))))
6.0ms
(* 1.6666666666666665 (pow x 3))

series11.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- (+ (* 1.6666666666666665 (pow x 3)) (+ (* 2 (log 1.0)) (* 2.0 x))) (* 1.0 (/ (pow x 3) (pow 1.0 2))))
4.0ms
(* 1.6666666666666665 (pow x 3))

simplify46.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0318498
11450460
25002440

prune109.0ms

Filtered
34 candidates to 54 candidates (-58.8%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New53154
Fresh044
Picked101
Done000
Total54559

Merged error: 0.0b

Counts
59 → 5

regimes41.0ms

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
0219
1219

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.7s3452×body1280valid
751.0ms2519×body640valid
307.0ms7787×body80nan
224.0ms1214×body320valid
71.0ms608×body160valid
11.0ms207×body80valid

Profiling

Loading profile data...