Details

Time bar (total: 6.7s)

sample98.0ms

Algorithm
intervals
Results
55.0ms119×body1280valid
18.0ms73×body640valid
7.0ms257×body80nan
6.0ms41×body320valid
2.0ms18×body160valid
0.0ms5×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0186
1256
2406
3616
4886
51046
61136
71136

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ 1.0 x) (- 1.0 x))
4.3b
(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)))

series157.0ms

Counts
2 → 6
Calls
2 calls:
35.0ms
(/ (+ 1.0 x) (- 1.0 x))
122.0ms
(log (/ (+ 1.0 x) (- 1.0 x)))

simplify116.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0318660
11025624
24261602
35001602

prune186.0ms

Filtered
88 candidates to 58 candidates (65.9%)
Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
71×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
37×add-cube-cbrt *-un-lft-identity
25×add-exp-log
24×unpow2 sqr-pow
17×unswap-sqr
10×prod-exp
9×div-exp
7×add-cbrt-cube
6×pow-to-exp pow-exp add-log-exp
5×associate-+r+ associate-*r/
4×pow1 frac-add
3×log-prod flip3-+ associate-*l* associate--l+ flip-+
2×associate-+l+ flip3-- sum-log flip-- cbrt-unprod
1×cbrt-undiv +-commutative distribute-rgt-in associate-+r- sub-neg distribute-lft-in diff-log pow-prod-down *-commutative div-inv
Counts
2 → 134
Calls
2 calls:
10.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
19.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

series352.0ms

Counts
2 → 6
Calls
2 calls:
299.0ms
(+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))
53.0ms
(* 2.0 (/ (pow x 2) (pow 1.0 2)))

simplify90.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
07991100
13634972
25002968

prune543.0ms

Filtered
140 candidates to 90 candidates (64.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
0.6b
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
0.6b
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
102×cbrt-div
74×associate-*r/
68×frac-add
51×flip3-+ flip-+
36×frac-times
34×flip3-- flip--
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l* associate-*l/
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 139
Calls
4 calls:
23.0ms
(* (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
9.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
12.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
9.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

series929.0ms

Counts
4 → 12
Calls
4 calls:
253.0ms
(* (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))) (cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2)))))))
222.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
228.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))
225.0ms
(cbrt (+ (* 2.0 (+ (pow x 2) x)) (- (log 1.0) (* 2.0 (/ (pow x 2) (pow 1.0 2))))))

simplify126.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
07237276
130707113
250017002

prune643.0ms

Filtered
151 candidates to 109 candidates (72.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.0b
(* (/ 1 (- 1.0 x)) (+ 1.0 x))
4.3b
(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
40×*-un-lft-identity
32×times-frac
26×add-exp-log
23×add-cube-cbrt
21×associate-*l*
10×add-cbrt-cube
9×pow1
8×prod-exp
7×distribute-lft-out-- difference-of-squares
6×div-exp
5×log-div rem-log-exp associate-/r*
4×frac-times flip3-+ associate-*r/ associate-*r* associate-/r/ flip-+
3×rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×cbrt-undiv flip3-- pow-prod-down associate-*l/ log-pow flip-- cbrt-unprod div-inv
1×distribute-rgt-in log-prod pow-flip frac-2neg distribute-lft-in clear-num *-commutative distribute-lft-out inv-pow
Counts
3 → 111
Calls
3 calls:
5.0ms
(/ 1 (- 1.0 x))
12.0ms
(* (/ 1 (- 1.0 x)) (+ 1.0 x))
9.0ms
(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(/ 1 (- 1.0 x))
32.0ms
(* (/ 1 (- 1.0 x)) (+ 1.0 x))
124.0ms
(log (* (/ 1 (- 1.0 x)) (+ 1.0 x)))

simplify55.0ms

Algorithm
egg-herbie
Counts
120 → 120
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0517674
12463589
25001539

prune162.0ms

Filtered
120 candidates to 73 candidates (60.8%)
Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes30.0ms

Accuracy

0% (0.5b remaining)

Error of 0.6b against oracle of 0.2b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02012
12012

end0.0ms

sample2.8s

Algorithm
intervals
Results
1.5s3350×body1280valid
626.0ms2542×body640valid
226.0ms8059×body80nan
186.0ms1247×body320valid
61.0ms667×body160valid
8.0ms194×body80valid