Details

Time bar (total: 2.1s)

sample38.0ms

Algorithm
intervals
Results
14.0ms73×body1280valid
6.0ms72×body80overflowed
5.0ms42×body640valid
2.0ms32×body320valid
2.0ms95×body80valid
1.0ms14×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
074
184
284

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 40.2b

Counts
2 → 1

localize4.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (exp x) (- (exp x) 1.0))
4.7b
(- (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:
6.0ms
(/ (exp x) (- (exp x) 1.0))
4.0ms
(- (exp x) 1.0)

series9.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (exp x) (- (exp x) 1.0))
3.0ms
(- (exp x) 1.0)

simplify69.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 2 (14.0ms)

IterNodesCost
0180378
1542357
22174354
35003354

prune77.0ms

Filtered
41 candidates to 57 candidates (-39.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New53457
Fresh000
Picked101
Done000
Total54458

Merged error: 0.0b

Counts
58 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1/12 x) (/ 1 x))
0.4b
(* 1/12 x)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*r* associate-*l*
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 29
Calls
2 calls:
5.0ms
(+ (* 1/12 x) (/ 1 x))
3.0ms
(* 1/12 x)

series6.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(+ (* 1/12 x) (/ 1 x))
2.0ms
(* 1/12 x)

simplify66.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0130119
1448109
22305108
35001108

prune39.0ms

Filtered
23 candidates to 35 candidates (-52.2%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New35035
Fresh033
Picked011
Done000
Total35439

Merged error: 0.0b

Counts
39 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (exp x))
0.0b
(/ 1 (- 1 (/ 1.0 (exp x))))
4.7b
(- 1 (/ 1.0 (exp x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
64×add-sqr-sqrt
44×*-un-lft-identity
43×times-frac
24×add-cube-cbrt
20×difference-of-squares
11×associate-/r*
8×add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×distribute-lft-out-- add-log-exp
4×pow1
3×div-exp
2×cbrt-undiv flip3-- frac-2neg clear-num associate-/r/ flip-- div-inv
1×sub-neg rec-exp pow-flip diff-log 1-exp inv-pow
Counts
3 → 97
Calls
3 calls:
4.0ms
(/ 1.0 (exp x))
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
7.0ms
(- 1 (/ 1.0 (exp x)))

series18.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1.0 (exp x))
9.0ms
(/ 1 (- 1 (/ 1.0 (exp x))))
6.0ms
(- 1 (/ 1.0 (exp x)))

simplify37.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0310722
11324620
25002618

prune87.0ms

Filtered
60 candidates to 106 candidates (-76.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh022
Picked011
Done011
Total1064110

Merged error: 0.0b

Counts
110 → 4

localize13.0ms

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)
4.6b
(- (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)))
24.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
3.0ms
(pow (exp x) 3)
12.0ms
(- (pow (exp x) 3) (pow 1.0 3))

series32.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x)))
17.0ms
(/ (- (pow (exp x) 3) (pow 1.0 3)) (+ (* 1.0 (+ 1.0 (exp x))) (exp (+ x x))))
4.0ms
(pow (exp x) 3)
5.0ms
(- (pow (exp x) 3) (pow 1.0 3))

simplify97.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
05963033
126062958
250012879

prune278.0ms

Filtered
110 candidates to 205 candidates (-86.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New2041205
Fresh011
Picked011
Done022
Total2045209

Merged error: 0.0b

Counts
209 → 5

regimes98.0ms

Accuracy

96.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 21.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03218
13218

end0.0ms

sample976.0ms

Algorithm
intervals
Results
403.0ms2339×body1280valid
183.0ms1644×body640valid
65.0ms2821×body80valid
61.0ms802×body320valid
52.0ms2500×body80overflowed
20.0ms394×body160valid

Profiling

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