Details

Time bar (total: 4.4s)

sample64.0ms

Algorithm
intervals
Results
30.0ms107×body1280valid
14.0ms82×body640valid
6.0ms236×body80valid
4.0ms36×body320valid
1.0ms17×body160valid

simplify219.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61035
72505
812525
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: 56.4b

Counts
2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

5.1b
(- (exp x) (exp (- x)))

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 → 14
Calls
1 calls:
5.0ms
(- (exp x) (exp (- x)))

series36.0ms

Counts
1 → 3
Calls
1 calls:
36.0ms
(- (exp x) (exp (- x)))

simplify579.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (28.0ms)

IterNodesCost
0100120
1257108
2763107
34896105
45001105

prune47.0ms

Filtered
17 candidates to 14 candidates (82.4%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New16117
Fresh000
Picked011
Done000
Total16218

Merged error: 0.0b

Counts
18 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1/60 (pow x 5)) (* 2 x))
0.0b
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.1b
(* 1/60 (pow x 5))
0.1b
(* 1/3 (pow x 3))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×associate-*r*
14×add-exp-log
11×add-cube-cbrt *-un-lft-identity add-log-exp
8×unpow-prod-down add-cbrt-cube
7×unswap-sqr
6×associate-*l* prod-exp
4×pow1 cube-prod sum-log sqr-pow
2×+-commutative pow-to-exp flip3-+ pow-exp *-commutative cbrt-unprod flip-+
1×cube-mult associate-+r+ unpow3
Counts
4 → 80
Calls
4 calls:
4.0ms
(+ (* 1/60 (pow x 5)) (* 2 x))
8.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series282.0ms

Counts
4 → 12
Calls
4 calls:
135.0ms
(+ (* 1/60 (pow x 5)) (* 2 x))
60.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
47.0ms
(* 1/60 (pow x 5))
39.0ms
(* 1/3 (pow x 3))

simplify55.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0354458
11537430
25002429

prune170.0ms

Filtered
92 candidates to 59 candidates (64.1%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh000
Picked011
Done011
Total91394

Merged error: 0.0b

Counts
94 → 3

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* 1/3 (pow x 3)) 3)
0.1b
(* 1/3 (pow x 3))
0.1b
(* 1/3 (pow x 3))
41.1b
(/ (+ (pow (* 1/3 (pow x 3)) 3) (pow (+ (* 1/60 (pow x 5)) (* 2 x)) 3)) (+ (* (+ (* 1/60 (pow x 5)) (* 2 x)) (- (+ (* 1/60 (pow x 5)) (* 2 x)) (* 1/3 (pow x 3)))) (* 1/9 (* (pow x 3) (pow x 3)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt
31×*-un-lft-identity
24×associate-*r*
23×add-cube-cbrt
22×add-exp-log
15×times-frac
13×add-cbrt-cube
9×unpow-prod-down cube-prod prod-exp
8×unswap-sqr
7×pow-exp
6×associate-*l*
5×pow1 associate-/l* sqr-pow
4×pow-to-exp sum-cubes distribute-lft-out add-log-exp
3×cube-mult pow-unpow unpow3 associate-/r* cbrt-unprod
2×flip3-+ associate-/r/ *-commutative flip-+ associate-/l/ rem-cube-cbrt
1×cbrt-undiv pow-pow frac-2neg div-exp clear-num div-inv
Counts
4 → 124
Calls
4 calls:
5.0ms
(pow (* 1/3 (pow x 3)) 3)
6.0ms
(* 1/3 (pow x 3))
6.0ms
(* 1/3 (pow x 3))
26.0ms
(/ (+ (pow (* 1/3 (pow x 3)) 3) (pow (+ (* 1/60 (pow x 5)) (* 2 x)) 3)) (+ (* (+ (* 1/60 (pow x 5)) (* 2 x)) (- (+ (* 1/60 (pow x 5)) (* 2 x)) (* 1/3 (pow x 3)))) (* 1/9 (* (pow x 3) (pow x 3)))))

series323.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(pow (* 1/3 (pow x 3)) 3)
36.0ms
(* 1/3 (pow x 3))
40.0ms
(* 1/3 (pow x 3))
183.0ms
(/ (+ (pow (* 1/3 (pow x 3)) 3) (pow (+ (* 1/60 (pow x 5)) (* 2 x)) 3)) (+ (* (+ (* 1/60 (pow x 5)) (* 2 x)) (- (+ (* 1/60 (pow x 5)) (* 2 x)) (* 1/3 (pow x 3)))) (* 1/9 (* (pow x 3) (pow x 3)))))

simplify98.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (77.0ms)

IterNodesCost
04141990
124151852
250021846

prune387.0ms

Filtered
136 candidates to 85 candidates (62.5%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh000
Picked011
Done022
Total1363139

Merged error: 0.0b

Counts
139 → 3

regimes56.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample1.9s

Algorithm
intervals
Results
947.0ms3397×body1280valid
411.0ms2453×body640valid
184.0ms7978×body80valid
127.0ms1244×body320valid
40.0ms639×body160valid