Details

Time bar (total: 4.5s)

sample75.0ms

Algorithm
intervals
Results
33.0ms94×body1280valid
16.0ms81×body640valid
8.0ms268×body80valid
5.0ms43×body320valid
2.0ms25×body160valid

simplify141.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0145
1235
2315
3365
4415
5655
61035
72435
815635
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: 57.2b

Counts
2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

7.4b
(- (exp x) (exp (neg 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 (neg x)))

series36.0ms

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

simplify32.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 3 (29.0ms)

IterNodesCost
0100120
1257106
2785105
35001103

prune53.0ms

Filtered
17 candidates to 14 candidates (82.4%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New14317
Fresh000
Picked011
Done000
Total14418

Merged error: 0.0b

Counts
18 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×associate-*r*
12×add-exp-log
9×add-cube-cbrt *-un-lft-identity
8×unpow-prod-down
7×unswap-sqr
6×associate-*l* prod-exp add-cbrt-cube
4×cube-prod sqr-pow
2×pow1 pow-to-exp pow-exp *-commutative cbrt-unprod add-log-exp
1×cube-mult unpow3
Counts
2 → 56
Calls
2 calls:
5.0ms
(* 1/60 (pow x 5))
6.0ms
(* 1/3 (pow x 3))

series88.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* 1/60 (pow x 5))
36.0ms
(* 1/3 (pow x 3))

simplify189.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0208209
1871193
24636193
35001193

prune109.0ms

Filtered
62 candidates to 38 candidates (61.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New62062
Fresh022
Picked011
Done011
Total62466

Merged error: 0.0b

Counts
66 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp x) (- (exp x) (pow (exp x) -3)))
0.1b
(pow (exp x) -3)
0.3b
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
7.3b
(- (exp x) (pow (exp x) -3))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
19×*-un-lft-identity
11×add-cube-cbrt add-cbrt-cube
9×add-exp-log
7×pow1 associate-*r*
6×add-log-exp difference-of-squares
5×unpow-prod-down
4×pow-pow times-frac associate-*r/ associate-/r*
3×sub-neg pow-unpow exp-prod flip3-- associate-*l* flip-- sqr-pow
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out distribute-lft-out--
1×pow-to-exp frac-2neg flip3-+ diff-log pow-prod-down pow-exp clear-num *-commutative flip-+ div-inv associate-/l* unswap-sqr
Counts
4 → 91
Calls
4 calls:
11.0ms
(* (exp x) (- (exp x) (pow (exp x) -3)))
3.0ms
(pow (exp x) -3)
18.0ms
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
6.0ms
(- (exp x) (pow (exp x) -3))

series304.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* (exp x) (- (exp x) (pow (exp x) -3)))
28.0ms
(pow (exp x) -3)
138.0ms
(/ (* (exp x) (- (exp x) (pow (exp x) -3))) (+ (exp x) (exp (neg x))))
45.0ms
(- (exp x) (pow (exp x) -3))

simplify67.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0420889
12061787
25001784

prune215.0ms

Filtered
103 candidates to 73 candidates (70.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1021103
Fresh101
Picked011
Done022
Total1034107

Merged error: 0.0b

Counts
107 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (exp x) (neg (pow (exp x) -3)))
0.1b
(pow (exp x) -3)
0.3b
(/ (+ (exp (+ x x)) (* (exp x) (neg (pow (exp x) -3)))) (+ (exp x) (exp (neg x))))
7.3b
(+ (exp (+ x x)) (* (exp x) (neg (pow (exp x) -3))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
25×add-sqr-sqrt
23×add-cube-cbrt
18×associate-*r*
16×times-frac
11×distribute-lft-out
9×unpow-prod-down
8×add-cbrt-cube
7×pow1 add-exp-log distribute-lft-neg-in distribute-rgt-neg-in
6×exp-sum add-log-exp
5×distribute-rgt-neg-out
4×pow-pow associate-/r* associate-/l*
3×pow-unpow exp-prod flip3-+ associate-*l* flip-+ sqr-pow
2×div-sub unsub-neg associate-/r/ associate-/l/
1×cbrt-undiv +-commutative pow-to-exp neg-mul-1 frac-2neg div-exp pow-prod-down pow-exp prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 110
Calls
4 calls:
9.0ms
(* (exp x) (neg (pow (exp x) -3)))
4.0ms
(pow (exp x) -3)
13.0ms
(/ (+ (exp (+ x x)) (* (exp x) (neg (pow (exp x) -3)))) (+ (exp x) (exp (neg x))))
7.0ms
(+ (exp (+ x x)) (* (exp x) (neg (pow (exp x) -3))))

series209.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (exp x) (neg (pow (exp x) -3)))
28.0ms
(pow (exp x) -3)
98.0ms
(/ (+ (exp (+ x x)) (* (exp x) (neg (pow (exp x) -3)))) (+ (exp x) (exp (neg x))))
62.0ms
(+ (exp (+ x x)) (* (exp x) (neg (pow (exp x) -3))))

simplify75.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
04781315
121881191
250011143

prune297.0ms

Filtered
122 candidates to 92 candidates (75.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1211122
Fresh000
Picked101
Done033
Total1224126

Merged error: 0.0b

Counts
126 → 4

regimes255.0ms

Accuracy

0% (0.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.0s3307×body1280valid
479.0ms2485×body640valid
244.0ms8318×body80valid
155.0ms1274×body320valid
50.0ms654×body160valid

Profiling

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