Details

Time bar (total: 1.8s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%74.6%25.4%0
0%74.6%25.4%1
37.3%37.3%25.4%2
37.3%18.7%44%3
46.7%9.3%44%4
46.7%4.7%48.7%5
49%2.3%48.7%6
49%1.2%49.8%7
49.6%0.6%49.8%8
49.9%0.3%49.8%9
49.9%0.1%50%10
49.9%0.1%50.1%11
49.9%0%50.1%12
49.9%0%50.1%13
49.9%0%50.1%14

sample37.0ms

Algorithm
intervals
Results
16.0ms105×body1280valid
9.0ms91×body640valid
3.0ms256×pre80true
2.0ms37×body320valid
1.0ms19×body160valid
0.0ms4×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0684
1684

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.1b

Counts
2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

5.3b
(- (exp x) 1.0)

rewrite5.0ms

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 → 13
Calls
1 calls:
4.0ms
(- (exp x) 1.0)

series3.0ms

Counts
1 → 3
Calls
1 calls:
2.0ms
(- (exp x) 1.0)

simplify66.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04883115
14883115

prune30.0ms

Filtered
12 candidates to 16 candidates (-33.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New14216
Fresh000
Picked101
Done000
Total15217

Merged error: 0.0b

Counts
17 → 2

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
9×associate-*l*
8×add-cube-cbrt *-un-lft-identity
7×associate-*r*
6×associate-*r/
5×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×*-commutative add-log-exp
2×flip3-+ flip-+ unswap-sqr
Counts
3 → 64
Calls
3 calls:
5.0ms
(* x (+ 1/2 (* x 1/6)))
6.0ms
(* x (* x (+ 1/2 (* x 1/6))))
4.0ms
(* x 1/6)

series16.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* x (+ 1/2 (* x 1/6)))
6.0ms
(* x (* x (+ 1/2 (* x 1/6))))
4.0ms
(* x 1/6)

simplify50.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04918560
14918560

prune68.0ms

Filtered
48 candidates to 73 candidates (-52.1%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New73073
Fresh011
Picked011
Done000
Total73275

Merged error: 0.0b

Counts
75 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow (- (exp x) 1.0) 3)
0.1b
(cbrt (pow (- (exp x) 1.0) 3))
5.3b
(- (exp x) 1.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
16×cbrt-prod
10×unpow-prod-down cube-prod
9×add-cube-cbrt
5×distribute-lft-out-- add-log-exp difference-of-squares
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-- flip--
2×cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 69
Calls
3 calls:
5.0ms
(pow (- (exp x) 1.0) 3)
5.0ms
(cbrt (pow (- (exp x) 1.0) 3))
4.0ms
(- (exp x) 1.0)

series10.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(pow (- (exp x) 1.0) 3)
2.0ms
(cbrt (pow (- (exp x) 1.0) 3))
2.0ms
(- (exp x) 1.0)

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04943635
14943635

prune70.0ms

Filtered
43 candidates to 78 candidates (-81.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh000
Picked011
Done011
Total77380

Merged error: 0b

Counts
80 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* x x) (+ 1/2 (* x 1/6)))
0.0b
(pow (+ x (* (* x x) (+ 1/2 (* x 1/6)))) 3)
0.3b
(* x 1/6)
41.1b
(cbrt (pow (+ x (* (* x x) (+ 1/2 (* x 1/6)))) 3))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×add-cube-cbrt *-un-lft-identity
12×pow1 add-exp-log cbrt-prod add-cbrt-cube
6×unpow-prod-down cube-prod associate-*r*
4×cube-div associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow-unpow flip3-+ flip-+
2×cube-mult cbrt-div unpow3 associate-*r/ *-commutative unswap-sqr sqr-pow
1×distribute-rgt-in pow-to-exp pow-pow distribute-lft-in pow1/3 pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
4 → 89
Calls
4 calls:
7.0ms
(* (* x x) (+ 1/2 (* x 1/6)))
4.0ms
(pow (+ x (* (* x x) (+ 1/2 (* x 1/6)))) 3)
3.0ms
(* x 1/6)
4.0ms
(cbrt (pow (+ x (* (* x x) (+ 1/2 (* x 1/6)))) 3))

series16.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (* x x) (+ 1/2 (* x 1/6)))
4.0ms
(pow (+ x (* (* x x) (+ 1/2 (* x 1/6)))) 3)
2.0ms
(* x 1/6)
4.0ms
(cbrt (pow (+ x (* (* x x) (+ 1/2 (* x 1/6)))) 3))

simplify31.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
060901282

prune109.0ms

Filtered
60 candidates to 101 candidates (-68.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1010101
Fresh000
Picked011
Done022
Total1013104

Merged error: 0b

Counts
104 → 3

regimes80.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01311
11311

end0.0ms

sample1.1s

Algorithm
intervals
Results
544.0ms3435×body1280valid
241.0ms2497×body640valid
90.0ms8000×pre80true
75.0ms1215×body320valid
26.0ms658×body160valid
4.0ms195×body80valid

Profiling

Loading profile data...