Details

Time bar (total: 2.9s)

sample22.0ms

Algorithm
intervals
Results
10.0ms525×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
083
1123
2213
3483
41333
54373
619263
750013

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: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (exp (* y y)))
0.1b
(exp (* y y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
add-exp-log associate-*r* associate-*l*
expm1-log1p-u log1p-expm1-u
exp-prod exp-to-pow pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
2 → 32
Calls
2 calls:
4.0ms
(* x (exp (* y y)))
2.0ms
(exp (* y y))

series43.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(* x (exp (* y y)))
11.0ms
(exp (* y y))

simplify55.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
094143
1335124
21315124
35001124

prune83.0ms

Filtered
38 candidates to 29 candidates (76.3%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New36238
Fresh000
Picked101
Done000
Total37239

Merged error: 0.0b

Counts
39 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (pow (exp y) y))
0.0b
(pow (exp y) y)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
unpow-prod-down associate-*r*
add-exp-log
pow-pow add-cbrt-cube
pow1 pow-unpow exp-prod associate-*l* prod-exp unswap-sqr sqr-pow
expm1-log1p-u pow-to-exp pow-exp log1p-expm1-u add-log-exp
*-commutative cbrt-unprod
Counts
2 → 49
Calls
2 calls:
5.0ms
(* x (pow (exp y) y))
3.0ms
(pow (exp y) y)

series90.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* x (pow (exp y) y))
36.0ms
(pow (exp y) y)

simplify117.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 3 (112.0ms)

IterNodesCost
0153218
1606198
23014198
35001197

prune109.0ms

Filtered
55 candidates to 36 candidates (65.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New53255
Fresh101
Picked011
Done000
Total54357

Merged error: 0.0b

Counts
57 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp y) (/ y 2))
0.0b
(* (* x (pow (exp y) (/ y 2))) (sqrt (pow (exp y) y)))
0.0b
(* x (pow (exp y) (/ y 2)))
0.0b
(pow (exp y) y)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
17×add-exp-log associate-*r*
16×pow-unpow
13×unpow-prod-down
11×add-cbrt-cube
10×prod-exp
times-frac
pow1 pow-pow
sqrt-prod
exp-prod
sqr-pow
expm1-log1p-u pow-to-exp associate-*l* pow-exp cbrt-unprod log1p-expm1-u add-log-exp
unswap-sqr
*-commutative
pow-prod-down div-inv
Counts
4 → 109
Calls
4 calls:
5.0ms
(pow (exp y) (/ y 2))
9.0ms
(* (* x (pow (exp y) (/ y 2))) (sqrt (pow (exp y) y)))
6.0ms
(* x (pow (exp y) (/ y 2)))
4.0ms
(pow (exp y) y)

series258.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(pow (exp y) (/ y 2))
122.0ms
(* (* x (pow (exp y) (/ y 2))) (sqrt (pow (exp y) y)))
62.0ms
(* x (pow (exp y) (/ y 2)))
34.0ms
(pow (exp y) y)

simplify64.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0392705
11731636
25001614

prune338.0ms

Filtered
121 candidates to 84 candidates (69.4%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1192121
Fresh101
Picked011
Done011
Total1204124

Merged error: 0b

Counts
124 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (exp y) y)
0.0b
(pow (exp y) y)
0.0b
(* (cbrt (sqrt (pow (exp y) y))) (cbrt (sqrt (pow (exp y) y))))
0.0b
(* (* (cbrt (sqrt (pow (exp y) y))) (cbrt (sqrt (pow (exp y) y)))) (cbrt (sqrt (pow (exp y) y))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
98×cbrt-prod
78×add-sqr-sqrt
70×sqrt-prod
32×pow1 unpow-prod-down
30×add-cube-cbrt *-un-lft-identity unswap-sqr
26×associate-*r*
18×sqr-pow
15×pow1/3 swap-sqr
14×associate-*l*
11×add-exp-log pow-prod-up
pow-pow
pow-plus pow-prod-down
pow-unpow exp-prod
pow-sqr add-cbrt-cube
expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
pow2
pow-to-exp pow-exp *-commutative
pow3
Counts
4 → 177
Calls
4 calls:
4.0ms
(pow (exp y) y)
4.0ms
(pow (exp y) y)
14.0ms
(* (cbrt (sqrt (pow (exp y) y))) (cbrt (sqrt (pow (exp y) y))))
17.0ms
(* (* (cbrt (sqrt (pow (exp y) y))) (cbrt (sqrt (pow (exp y) y)))) (cbrt (sqrt (pow (exp y) y))))

series262.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(pow (exp y) y)
33.0ms
(pow (exp y) y)
141.0ms
(* (cbrt (sqrt (pow (exp y) y))) (cbrt (sqrt (pow (exp y) y))))
54.0ms
(* (* (cbrt (sqrt (pow (exp y) y))) (cbrt (sqrt (pow (exp y) y)))) (cbrt (sqrt (pow (exp y) y))))

simplify90.0ms

Algorithm
egg-herbie
Counts
189 → 189
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
03181990
113791827
250011648

prune542.0ms

Filtered
189 candidates to 114 candidates (60.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1881189
Fresh101
Picked011
Done022
Total1894193

Merged error: 0b

Counts
193 → 4

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
063
163

end0.0ms

sample561.0ms

Algorithm
intervals
Results
312.0ms15896×body80valid