Details

Time bar (total: 4.3s)

sample82.0ms

Algorithm
intervals
Results
56.0ms184×body1280valid
7.0ms244×body80valid
6.0ms31×body640valid
2.0ms18×body320valid
1.0ms13×body160valid

simplify141.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1265
2415
3555
4655
5965
61405
72855
816425
950015

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: 28.5b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (exp x) 2.0)
3.3b
(+ (- (exp x) 2.0) (exp (neg x)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity add-log-exp
4×add-sqr-sqrt frac-add
3×flip3-- flip--
2×pow1 add-exp-log neg-sub0 exp-neg add-cube-cbrt sub-neg associate-+l+ exp-diff diff-log sum-log add-cbrt-cube distribute-lft-out distribute-lft-out--
1×+-commutative associate-+l- flip3-+ flip-+ difference-of-squares
Counts
2 → 35
Calls
2 calls:
4.0ms
(- (exp x) 2.0)
8.0ms
(+ (- (exp x) 2.0) (exp (neg x)))

series73.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(- (exp x) 2.0)
55.0ms
(+ (- (exp x) 2.0) (exp (neg x)))

simplify89.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0209282
1694269
23196260
35001260

prune85.0ms

Filtered
41 candidates to 29 candidates (70.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New37441
Fresh000
Picked101
Done000
Total38442

Merged error: 0.0b

Counts
42 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
0.0b
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
0.1b
(* 1/360 (pow x 6))
0.1b
(* 1/12 (pow x 4))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
14×add-exp-log associate-*r*
12×*-un-lft-identity
11×add-log-exp
10×add-cube-cbrt
8×unpow-prod-down add-cbrt-cube
6×associate-*l* prod-exp unswap-sqr
4×pow1 sum-log sqr-pow
2×+-commutative pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+
1×associate-+r+ distribute-lft-out
Counts
4 → 75
Calls
4 calls:
7.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
4.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
5.0ms
(* 1/360 (pow x 6))
5.0ms
(* 1/12 (pow x 4))

series282.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(+ (pow x 2) (+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4))))
130.0ms
(+ (* 1/360 (pow x 6)) (* 1/12 (pow x 4)))
53.0ms
(* 1/360 (pow x 6))
40.0ms
(* 1/12 (pow x 4))

simplify51.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0329464
11456438
25001422

prune162.0ms

Filtered
87 candidates to 55 candidates (63.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh033
Picked011
Done000
Total86591

Merged error: 0.0b

Counts
91 → 5

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- 2.0 (exp (neg x)))
3.3b
(- (exp x) (- 2.0 (exp (neg x))))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity add-log-exp
6×add-sqr-sqrt
4×diff-log distribute-lft-out--
3×sub-neg
2×pow1 add-exp-log add-cube-cbrt flip3-- add-cbrt-cube flip-- associate--r+ difference-of-squares
1×associate--r-
Counts
2 → 33
Calls
2 calls:
4.0ms
(- 2.0 (exp (neg x)))
7.0ms
(- (exp x) (- 2.0 (exp (neg x))))

series69.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(- 2.0 (exp (neg x)))
55.0ms
(- (exp x) (- 2.0 (exp (neg x))))

simplify62.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0177251
1506238
21941235
35003235

prune59.0ms

Filtered
39 candidates to 27 candidates (69.2%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New39039
Fresh033
Picked011
Done011
Total39544

Merged error: 0.0b

Counts
44 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (exp x) 2.0)
0.0b
(* (exp x) (- (exp x) 2.0))
0.3b
(/ (* (+ (exp x) 2.0) (+ 1 (* (exp x) (- (exp x) 2.0)))) (* (+ (exp x) 2.0) (exp x)))
2.8b
(+ 1 (* (exp x) (- (exp x) 2.0)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
18×add-cbrt-cube
15×add-exp-log
12×add-sqr-sqrt
10×*-un-lft-identity
8×flip3-+ flip-+ associate-/l/ add-log-exp
6×pow1 add-cube-cbrt
5×sub-neg associate-*r* prod-exp cbrt-unprod
4×cbrt-undiv distribute-rgt-in frac-times associate-+r+ distribute-lft-in associate-*r/ div-exp associate-*l/
3×associate-*l*
2×flip3-- associate-/r/ flip-- distribute-lft-out-- difference-of-squares
1×+-commutative frac-2neg times-frac diff-log pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 86
Calls
4 calls:
4.0ms
(- (exp x) 2.0)
8.0ms
(* (exp x) (- (exp x) 2.0))
14.0ms
(/ (* (+ (exp x) 2.0) (+ 1 (* (exp x) (- (exp x) 2.0)))) (* (+ (exp x) 2.0) (exp x)))
4.0ms
(+ 1 (* (exp x) (- (exp x) 2.0)))

series207.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(- (exp x) 2.0)
34.0ms
(* (exp x) (- (exp x) 2.0))
99.0ms
(/ (* (+ (exp x) 2.0) (+ 1 (* (exp x) (- (exp x) 2.0)))) (* (+ (exp x) 2.0) (exp x)))
62.0ms
(+ 1 (* (exp x) (- (exp x) 2.0)))

simplify91.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0507937
12993704
25002693

prune161.0ms

Filtered
98 candidates to 67 candidates (68.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New96298
Fresh112
Picked101
Done022
Total985103

Merged error: 0.0b

Counts
103 → 5

regimes19.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0177
1177

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.8s5620×body1280valid
226.0ms7980×body80valid
224.0ms1253×body640valid
71.0ms648×body320valid
23.0ms318×body160valid

Profiling

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