Details

Time bar (total: 2.6s)

sample37.0ms

Algorithm
intervals
Results
12.0ms61×body1280valid
7.0ms53×body640valid
5.0ms104×body80valid
3.0ms30×body320valid
2.0ms88×body80overflowed
0.0ms8×body160valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
184
284

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: 38.2b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (exp x) (- (exp x) 1.0))
3.5b
(- (exp x) 1.0)

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity
15×times-frac
12×add-cube-cbrt
5×associate-/r* distribute-lft-out-- difference-of-squares
4×add-cbrt-cube add-log-exp
3×add-exp-log associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 51
Calls
2 calls:
7.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series43.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ (exp x) (- (exp x) 1.0))
16.0ms
(- (exp x) 1.0)

simplify73.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune119.0ms

Filtered
57 candidates to 41 candidates (71.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New52557
Fresh000
Picked101
Done000
Total53558

Merged error: 0.0b

Counts
58 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
11×add-exp-log associate-*l*
9×times-frac add-cbrt-cube
6×associate-*r*
5×pow1 unswap-sqr
4×unpow-prod-down prod-exp
3×associate-/r* associate-/l* add-log-exp
2×flip3-+ associate-*r/ associate-/r/ *-commutative cbrt-unprod flip-+ unpow2 sqr-pow
1×cbrt-undiv distribute-rgt-in pow-to-exp frac-2neg distribute-lft-in div-exp pow-prod-down pow-exp clear-num div-inv
Counts
3 → 78
Calls
3 calls:
10.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
8.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
4.0ms
(* x 1/6)

series131.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (exp x) (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
66.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
19.0ms
(* x 1/6)

simplify61.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0401619
11835573
25002571

prune170.0ms

Filtered
87 candidates to 60 candidates (69.0%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New86187
Fresh044
Picked101
Done000
Total87592

Merged error: 0.0b

Counts
92 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
26×*-un-lft-identity
25×add-cube-cbrt
21×associate-*r*
20×add-exp-log times-frac
15×add-cbrt-cube
14×associate-*l*
9×pow1
8×prod-exp unswap-sqr
4×unpow-prod-down div-exp associate-/r/ cbrt-unprod add-log-exp
3×flip3-+ associate-*r/ associate-/r* *-commutative flip-+ associate-/l*
2×cbrt-undiv rec-exp 1-exp pow-prod-down div-inv unpow2 sqr-pow
1×distribute-rgt-in pow-to-exp pow-flip frac-2neg distribute-lft-in pow-exp clear-num un-div-inv inv-pow
Counts
4 → 120
Calls
4 calls:
15.0ms
(* (exp x) (/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
8.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
9.0ms
(/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
4.0ms
(* x 1/6)

series168.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* (exp x) (/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x)))
66.0ms
(* (pow x 2) (+ (* x 1/6) 1/2))
41.0ms
(/ 1 (+ (* (pow x 2) (+ (* x 1/6) 1/2)) x))
15.0ms
(* x 1/6)

simplify82.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
05341014
12625899
25001870

prune234.0ms

Filtered
132 candidates to 81 candidates (61.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1311132
Fresh134
Picked011
Done000
Total1325137

Merged error: 0.0b

Counts
137 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (exp x) (- (+ (* 1/12 x) (/ 1 x)) 1/2))
0.0b
(+ (* 1/12 x) (/ 1 x))
0.3b
(* 1/12 x)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
9×*-un-lft-identity
8×associate-*r*
7×pow1 add-cube-cbrt add-cbrt-cube
6×add-exp-log associate-*l*
5×add-log-exp
3×distribute-rgt-in distribute-lft-in
2×sub-neg associate-*r/ pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod unswap-sqr
1×+-commutative flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 57
Calls
3 calls:
17.0ms
(* (exp x) (- (+ (* 1/12 x) (/ 1 x)) 1/2))
6.0ms
(+ (* 1/12 x) (/ 1 x))
4.0ms
(* 1/12 x)

series86.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (exp x) (- (+ (* 1/12 x) (/ 1 x)) 1/2))
42.0ms
(+ (* 1/12 x) (/ 1 x))
15.0ms
(* 1/12 x)

simplify42.0ms

Algorithm
egg-herbie
Counts
66 → 66
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0259359
11047325
25001325

prune99.0ms

Filtered
66 candidates to 42 candidates (63.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New66066
Fresh033
Picked011
Done011
Total66571

Merged error: 0.0b

Counts
71 → 5

regimes80.0ms

Accuracy

29.3% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.9b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02313
12313

end0.0ms

sample1.0s

Algorithm
intervals
Results
437.0ms2214×body1280valid
205.0ms1640×body640valid
70.0ms843×body320valid
69.0ms2873×body80valid
54.0ms2555×body80overflowed
24.0ms432×body160valid

Profiling

Loading profile data...