Details

Time bar (total: 2.8s)

sample44.0ms

Algorithm
intervals
Results
20.0ms128×body1280valid
5.0ms54×body640valid
4.0ms378×pre80true
3.0ms47×body320valid
2.0ms128×body80valid
1.0ms21×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: 58.1b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.4b
(- (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)

simplify57.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
08172
118567
249966
3139966
4500266

prune44.0ms

Filtered
17 candidates to 12 candidates (70.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New14317
Fresh000
Picked101
Done000
Total15318

Merged error: 0.1b

Counts
18 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
0.1b
(* (pow x 2) (+ (* x 1/6) 1/2))
0.3b
(* x 1/6)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
11×associate-*l*
10×add-exp-log
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
6×associate-*r*
5×pow1 add-log-exp unswap-sqr
4×unpow-prod-down prod-exp
2×distribute-rgt-in associate-+l+ distribute-lft-in flip3-+ associate-*r/ *-commutative cbrt-unprod flip-+ unpow2 sqr-pow
1×+-commutative pow-to-exp pow-prod-down pow-exp sum-log
Counts
3 → 62
Calls
3 calls:
8.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
7.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms
(* x 1/6)

series109.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)
68.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
14.0ms
(* x 1/6)

simplify57.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0310355
11545327
25001326

prune102.0ms

Filtered
71 candidates to 47 candidates (66.2%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New70171
Fresh022
Picked101
Done000
Total71374

Merged error: 0.1b

Counts
74 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* (pow x 2) (* x 1/6)) (+ (* 1/2 (pow x 2)) x))
0.0b
(* 1/2 (pow x 2))
0.1b
(* (pow x 2) (* x 1/6))
0.3b
(* x 1/6)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
24×add-exp-log
19×add-sqr-sqrt
14×associate-*l*
13×prod-exp add-cbrt-cube
12×associate-*r*
11×add-cube-cbrt *-un-lft-identity
9×add-log-exp
7×unpow-prod-down
6×pow1
5×cbrt-unprod unswap-sqr
3×pow-to-exp pow-exp sum-log *-commutative unpow2 sqr-pow
1×+-commutative associate-+r+ flip3-+ pow-prod-down flip-+
Counts
4 → 83
Calls
4 calls:
9.0ms
(+ (* (pow x 2) (* x 1/6)) (+ (* 1/2 (pow x 2)) x))
5.0ms
(* 1/2 (pow x 2))
6.0ms
(* (pow x 2) (* x 1/6))
3.0ms
(* x 1/6)

series109.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ (* (pow x 2) (* x 1/6)) (+ (* 1/2 (pow x 2)) x))
24.0ms
(* 1/2 (pow x 2))
40.0ms
(* (pow x 2) (* x 1/6))
14.0ms
(* x 1/6)

simplify57.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0331413
11535355
25001355

prune136.0ms

Filtered
95 candidates to 59 candidates (62.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New94195
Fresh022
Picked011
Done000
Total94498

Merged error: 0.1b

Counts
98 → 4

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (pow x 2) (pow x 2))
0.3b
(* x 1/6)
0.3b
(* x 1/6)
40.0b
(/ (+ (pow (* (pow x 2) (* x 1/6)) 3) (pow (+ (* 1/2 (pow x 2)) x) 3)) (+ (* (+ (* 1/2 (pow x 2)) x) (- (+ (* 1/2 (pow x 2)) x) (* (pow x 2) (* x 1/6)))) (* (* (pow x 2) (pow x 2)) (* (pow x 2) 1/36))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
34×*-un-lft-identity
26×add-cube-cbrt
22×add-exp-log
20×unpow-prod-down
18×unswap-sqr
15×times-frac
14×associate-*r* associate-*l*
12×add-cbrt-cube unpow2 sqr-pow
11×prod-exp
8×pow1 swap-sqr
6×pow-to-exp pow-exp
5×associate-/l*
4×sum-cubes distribute-lft-out add-log-exp
3×pow-prod-down associate-/r* *-commutative cbrt-unprod
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×cbrt-undiv pow2 frac-2neg div-exp clear-num pow-sqr pow-prod-up div-inv
Counts
4 → 137
Calls
4 calls:
7.0ms
(* (pow x 2) (pow x 2))
3.0ms
(* x 1/6)
4.0ms
(* x 1/6)
29.0ms
(/ (+ (pow (* (pow x 2) (* x 1/6)) 3) (pow (+ (* 1/2 (pow x 2)) x) 3)) (+ (* (+ (* 1/2 (pow x 2)) x) (- (+ (* 1/2 (pow x 2)) x) (* (pow x 2) (* x 1/6)))) (* (* (pow x 2) (pow x 2)) (* (pow x 2) 1/36))))

series163.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (pow x 2) (pow x 2))
13.0ms
(* x 1/6)
13.0ms
(* x 1/6)
106.0ms
(/ (+ (pow (* (pow x 2) (* x 1/6)) 3) (pow (+ (* 1/2 (pow x 2)) x) 3)) (+ (* (+ (* 1/2 (pow x 2)) x) (- (+ (* 1/2 (pow x 2)) x) (* (pow x 2) (* x 1/6)))) (* (* (pow x 2) (pow x 2)) (* (pow x 2) 1/36))))

simplify122.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (94.0ms)

IterNodesCost
04542063
126051870
250011855

prune347.0ms

Filtered
149 candidates to 83 candidates (55.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1481149
Fresh022
Picked101
Done011
Total1494153

Merged error: 0.1b

Counts
153 → 4

regimes66.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample1.3s

Algorithm
intervals
Results
564.0ms3517×body1280valid
235.0ms2374×body640valid
127.0ms11845×pre80true
82.0ms1256×body320valid
61.0ms4044×body80valid
26.0ms654×body160valid

Profiling

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