Details

Time bar (total: 5.0s)

sample59.0ms

Algorithm
intervals
Results
36.0ms78×body1280valid
9.0ms45×body640valid
3.0ms26×body320valid
2.0ms96×body80valid
1.0ms84×body80nan
1.0ms11×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
052
152

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.7b

localize3.0ms

Local error

Found 1 expressions with local error:

3.1b
(log (+ 1.0 x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
4×log-prod *-un-lft-identity
2×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt log-div
1×flip3-+ rem-log-exp log-pow add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
1 → 15
Calls
1 calls:
3.0ms
(log (+ 1.0 x))

series42.0ms

Counts
1 → 3
Calls
1 calls:
42.0ms
(log (+ 1.0 x))

simplify38.0ms

Algorithm
egg-herbie
Counts
18 → 18
Iterations

Useful iterations: 3 (36.0ms)

IterNodesCost
012295
132786
2116181
3500278

prune41.0ms

Filtered
18 candidates to 13 candidates (72.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
0.0b
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
80×times-frac
70×add-sqr-sqrt
68×associate-*r*
56×unpow-prod-down
36×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
4×pow1
3×associate-*r/ associate-*l*
2×diff-log frac-sub cbrt-unprod
1×cbrt-undiv sub-neg flip3-- flip3-+ pow-prod-down associate--l+ sum-log *-commutative flip-- flip-+ div-inv
Counts
2 → 126
Calls
2 calls:
23.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
6.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

series97.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* 1/2 (/ (pow x 2) (pow 1.0 2)))
41.0ms
(- (+ (* 1.0 x) (log 1.0)) (* 1/2 (/ (pow x 2) (pow 1.0 2))))

simplify71.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0676882
12962760
25001756

prune282.0ms

Filtered
132 candidates to 81 candidates (61.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (log (+ 1.0 x)))
0.2b
(* (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))))
3.1b
(log (+ 1.0 x))
3.1b
(log (+ 1.0 x))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
30×sqrt-prod
29×pow1
28×add-sqr-sqrt
21×*-un-lft-identity
15×add-cube-cbrt
11×swap-sqr
9×sqrt-pow1 pow1/2 log-pow
8×add-exp-log log-prod
7×associate-*r* associate-*l*
6×add-cbrt-cube
5×pow-prod-up
4×log-div add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×flip3-+ rem-log-exp flip-+ distribute-lft-out
1×pow2 rem-sqrt-square pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
1.0ms
(sqrt (log (+ 1.0 x)))
7.0ms
(* (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))))
3.0ms
(log (+ 1.0 x))
3.0ms
(log (+ 1.0 x))

series422.0ms

Counts
4 → 12
Calls
4 calls:
285.0ms
(sqrt (log (+ 1.0 x)))
41.0ms
(* (sqrt (log (+ 1.0 x))) (sqrt (log (+ 1.0 x))))
49.0ms
(log (+ 1.0 x))
46.0ms
(log (+ 1.0 x))

simplify44.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0330611
11329550
25001498

prune169.0ms

Filtered
110 candidates to 59 candidates (53.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (* 1.0 x) (log 1.0))))
0.1b
(pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3)
16.6b
(- (pow (+ (* 1.0 x) (log 1.0)) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3))
45.7b
(/ (- (pow (+ (* 1.0 x) (log 1.0)) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3)) (+ (* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (* 1.0 x) (log 1.0)))) (* (+ (* 1.0 x) (log 1.0)) (+ (* 1.0 x) (log 1.0)))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
140×associate-*r/
108×frac-add
93×flip3-+ flip-+
74×add-sqr-sqrt associate-/r/
72×frac-times
65×add-exp-log
40×difference-of-squares
39×times-frac
34×*-un-lft-identity
31×prod-exp sqr-pow
27×associate-*l/
24×add-cube-cbrt
23×pow-exp
21×add-cbrt-cube
19×div-exp
13×pow-to-exp associate-/l*
12×pow1
11×unpow-prod-down cube-prod
9×cube-div
7×cbrt-unprod
6×add-log-exp
5×difference-cubes distribute-lft-out--
4×pow-prod-down frac-sub associate-/l/
3×cbrt-undiv pow-unpow associate-*r* associate-/r* rem-cube-cbrt
2×flip3-- pow-pow flip--
1×distribute-rgt-in cube-mult sub-neg frac-2neg distribute-lft-in diff-log unpow3 div-sub associate-*l* clear-num *-commutative div-inv
Counts
4 → 242
Calls
4 calls:
29.0ms
(* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (* 1.0 x) (log 1.0))))
11.0ms
(pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3)
12.0ms
(- (pow (+ (* 1.0 x) (log 1.0)) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3))
49.0ms
(/ (- (pow (+ (* 1.0 x) (log 1.0)) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3)) (+ (* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (* 1.0 x) (log 1.0)))) (* (+ (* 1.0 x) (log 1.0)) (+ (* 1.0 x) (log 1.0)))))

series561.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (* 1.0 x) (log 1.0))))
74.0ms
(pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3)
140.0ms
(- (pow (+ (* 1.0 x) (log 1.0)) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3))
257.0ms
(/ (- (pow (+ (* 1.0 x) (log 1.0)) 3) (pow (* 1/2 (/ (pow x 2) (pow 1.0 2))) 3)) (+ (* (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (* 1/2 (/ (pow x 2) (pow 1.0 2))) (+ (* 1.0 x) (log 1.0)))) (* (+ (* 1.0 x) (log 1.0)) (+ (* 1.0 x) (log 1.0)))))

simplify144.0ms

Algorithm
egg-herbie
Counts
254 → 254
Iterations

Useful iterations: 1 (43.0ms)

IterNodesCost
0203510347
1500210125

prune978.0ms

Filtered
254 candidates to 173 candidates (68.1%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes117.0ms

Accuracy

98.8% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 22.0b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02111
12111

end0.0ms

sample1.7s

Algorithm
intervals
Results
960.0ms2195×body1280valid
349.0ms1690×body640valid
88.0ms824×body320valid
61.0ms2867×body80valid
35.0ms2578×body80nan
26.0ms424×body160valid