Details

Time bar (total: 4.7s)

sample64.0ms

Algorithm
intervals
Results
27.0ms99×body1280valid
14.0ms82×body640valid
6.0ms246×body80valid
4.0ms42×body320valid
2.0ms25×body160valid

simplify220.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61035
72505
812505
950015

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 58.5b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.5b
(- (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)))

series41.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(- (exp x) (exp (- x)))

simplify277.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (24.0ms)

IterNodesCost
097120
1240108
2668107
33540105
45001105

prune45.0ms

Filtered
17 candidates to 14 candidates (17.6%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New14317
Fresh000
Picked101
Done000
Total15318

Merged error: 0.0b

Counts
18 → 3

localize12.0ms

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))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
46×*-un-lft-identity
23×associate-*l*
22×distribute-lft-out
20×add-sqr-sqrt
15×associate-*r*
14×add-exp-log
11×add-log-exp
10×add-cube-cbrt
8×pow1 unpow-prod-down add-cbrt-cube
6×prod-exp unswap-sqr
4×sum-log sqr-pow
3×+-commutative
2×pow-to-exp associate-+r+ flip3-+ pow-prod-down pow-exp *-commutative cbrt-unprod flip-+
1×unpow3
Counts
4 → 92
Calls
4 calls:
22.0ms
(+ (* 1/60 (pow x 5)) (* 2 x))
33.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
6.0ms
(* 1/60 (pow x 5))
7.0ms
(* 1/3 (pow x 3))

series300.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(+ (* 1/60 (pow x 5)) (* 2 x))
66.0ms
(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
57.0ms
(* 1/60 (pow x 5))
39.0ms
(* 1/3 (pow x 3))

simplify58.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0339535
11418513
25002512

prune170.0ms

Filtered
104 candidates to 59 candidates (43.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1031104
Fresh022
Picked011
Done000
Total1034107

Merged error: 0.0b

Counts
107 → 4

localize23.0ms

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))
40.2b
(/ (+ (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)))))

rewrite268.0ms

Algorithm
rewrite-expression-head
Rules
1202×*-un-lft-identity
684×distribute-lft-out
673×associate-*l*
351×unpow-prod-down
270×times-frac
67×pow-unpow
65×add-sqr-sqrt
64×sum-cubes
50×add-cube-cbrt
24×associate-*r*
22×add-exp-log
18×associate-/l*
15×associate-/r*
13×add-cbrt-cube
11×pow1
9×prod-exp unswap-sqr
7×pow-exp sqr-pow
4×pow-to-exp unpow3 add-log-exp
3×pow-prod-down *-commutative cbrt-unprod
2×pow-pow flip3-+ associate-/r/ flip-+ associate-/l/ rem-cube-cbrt
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
4 → 413
Calls
4 calls:
8.0ms
(pow (* 1/3 (pow x 3)) 3)
11.0ms
(* 1/3 (pow x 3))
7.0ms
(* 1/3 (pow x 3))
196.0ms
(/ (+ (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)))))

series368.0ms

Counts
4 → 12
Calls
4 calls:
68.0ms
(pow (* 1/3 (pow x 3)) 3)
47.0ms
(* 1/3 (pow x 3))
40.0ms
(* 1/3 (pow x 3))
213.0ms
(/ (+ (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)))))

simplify212.0ms

Algorithm
egg-herbie
Counts
425 → 425
Iterations

Useful iterations: 2 (98.0ms)

IterNodesCost
060411387
1281310968
2500110946

prune446.0ms

Filtered
425 candidates to 97 candidates (77.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New4250425
Fresh022
Picked011
Done011
Total4254429

Merged error: 0.0b

Counts
429 → 4

localize7.0ms

Local error

Found 1 expressions with local error:

7.5b
(- (exp x) (exp (* -1 x)))

rewrite7.0ms

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:
6.0ms
(- (exp x) (exp (* -1 x)))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(- (exp x) (exp (* -1 x)))

simplify72.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
091120
1196111
2505110
31812110
45001110

prune20.0ms

Filtered
17 candidates to 10 candidates (41.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New17017
Fresh011
Picked011
Done022
Total17421

Merged error: 0.0b

Counts
21 → 4

regimes24.0ms

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
0208
1208

end0.0ms

sample2.0s

Algorithm
intervals
Results
949.0ms3323×body1280valid
419.0ms2445×body640valid
195.0ms8083×body80valid
133.0ms1292×body320valid
41.0ms656×body160valid