Details

Time bar (total: 3.2s)

sample39.0ms

Algorithm
intervals
Results
16.0ms118×body1280valid
7.0ms81×body640valid
3.0ms394×pre80true
2.0ms36×body320valid
2.0ms144×body80valid
1.0ms15×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
062
172
272

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: 58.8b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

4.9b
(- (exp x) 1.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity add-log-exp
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
4.0ms
(- (exp x) 1.0)

series15.0ms

Counts
1 → 3
Calls
1 calls:
15.0ms
(- (exp x) 1.0)

simplify54.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266

prune37.0ms

Filtered
17 candidates to 12 candidates (70.6%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New15217
Fresh000
Picked011
Done000
Total15318

Merged error: 0.0b

Counts
18 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.4b
(* x 1/6)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×associate-*l*
9×add-exp-log
7×add-cube-cbrt *-un-lft-identity
6×associate-*r* add-cbrt-cube
5×unswap-sqr
4×pow1 unpow-prod-down prod-exp
2×associate-*r/ *-commutative cbrt-unprod unpow2 add-log-exp sqr-pow
1×distribute-rgt-in pow-to-exp distribute-lft-in flip3-+ pow-prod-down pow-exp flip-+
Counts
2 → 49
Calls
2 calls:
8.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
3.0ms
(* x 1/6)

series84.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms
(* x 1/6)

simplify43.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0247239
11168216
25001216

prune75.0ms

Filtered
55 candidates to 35 candidates (63.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New55055
Fresh011
Picked011
Done011
Total55358

Merged error: 0.0b

Counts
58 → 3

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
0.0b
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.0b
(pow (exp x) 3)
4.8b
(- (pow (exp x) 3) (pow 1.0 3))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
158×add-sqr-sqrt
88×*-un-lft-identity
80×difference-of-squares
75×times-frac
63×unpow-prod-down cube-prod
41×sqr-pow
38×add-cube-cbrt
25×associate-/l* distribute-lft-out--
8×add-log-exp
7×add-cbrt-cube
6×add-exp-log
5×pow1 difference-cubes
4×pow-pow
3×pow-unpow exp-prod associate-/r*
2×associate-+l+ flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×cbrt-undiv +-commutative distribute-rgt-in cube-mult pow-to-exp sub-neg frac-2neg distribute-lft-in diff-log unpow3 div-sub div-exp pow-exp clear-num sum-log div-inv rem-cube-cbrt
Counts
4 → 193
Calls
4 calls:
9.0ms
(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
26.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
3.0ms
(pow (exp x) 3)
11.0ms
(- (pow (exp x) 3) (pow 1.0 3))

series194.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
94.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
30.0ms
(pow (exp x) 3)
37.0ms
(- (pow (exp x) 3) (pow 1.0 3))

simplify106.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
05963033
126062958
250022879

prune485.0ms

Filtered
205 candidates to 110 candidates (53.7%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2041205
Fresh000
Picked101
Done022
Total2053208

Merged error: 0.0b

Counts
208 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (log (exp (- (pow (exp x) 3) (pow 1.0 3)))) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
0.0b
(pow (exp x) 3)
4.8b
(log (exp (- (pow (exp x) 3) (pow 1.0 3))))
4.8b
(- (pow (exp x) 3) (pow 1.0 3))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
192×add-sqr-sqrt
130×log-pow
128×exp-prod
108×*-un-lft-identity
96×difference-of-squares
87×times-frac
75×unpow-prod-down cube-prod
49×sqr-pow
48×add-cube-cbrt
30×distribute-lft-out--
29×associate-/l*
10×pow1
7×add-cbrt-cube
6×difference-cubes add-exp-log add-log-exp
5×log-prod
4×pow-pow
3×pow-unpow associate-/r*
2×sub-neg log-div exp-diff exp-sum associate-/r/
1×cbrt-undiv cube-mult pow-to-exp flip3-- frac-2neg flip3-+ diff-log unpow3 div-sub div-exp rem-log-exp pow-exp clear-num flip-- flip-+ div-inv rem-cube-cbrt
Counts
4 → 234
Calls
4 calls:
30.0ms
(/ (log (exp (- (pow (exp x) 3) (pow 1.0 3)))) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
3.0ms
(pow (exp x) 3)
14.0ms
(log (exp (- (pow (exp x) 3) (pow 1.0 3))))
11.0ms
(- (pow (exp x) 3) (pow 1.0 3))

series198.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ (log (exp (- (pow (exp x) 3) (pow 1.0 3)))) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
24.0ms
(pow (exp x) 3)
42.0ms
(log (exp (- (pow (exp x) 3) (pow 1.0 3))))
38.0ms
(- (pow (exp x) 3) (pow 1.0 3))

simplify103.0ms

Algorithm
egg-herbie
Counts
246 → 246
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06303629
126043458
250023358

prune460.0ms

Filtered
246 candidates to 129 candidates (52.4%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2460246
Fresh000
Picked011
Done022
Total2463249

Merged error: 0.0b

Counts
249 → 3

regimes45.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0135
1135

end0.0ms

sample1.1s

Algorithm
intervals
Results
496.0ms3463×body1280valid
217.0ms2522×body640valid
98.0ms11917×pre80true
67.0ms1205×body320valid
49.0ms4110×body80valid
20.0ms617×body160valid