Details

Time bar (total: 2.3s)

sample25.0ms

Algorithm
intervals
Results
13.0ms531×body80valid

simplify85.0ms

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: 0.3b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(exp (* y y))
0.3b
(* x (exp (* y y)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×add-exp-log associate-*r* associate-*l*
2×expm1-log1p-u log1p-expm1-u
1×exp-prod exp-to-pow pow-prod-down prod-exp *-commutative cbrt-unprod rem-exp-log unswap-sqr
Counts
2 → 32
Calls
2 calls:
2.0ms
(exp (* y y))
5.0ms
(* x (exp (* y y)))

series42.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(exp (* y y))
32.0ms
(* x (exp (* y y)))

simplify51.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
094143
1335124
21315124
35001124

prune74.0ms

Filtered
38 candidates to 29 candidates (76.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New35338
Fresh000
Picked011
Done000
Total35439

Merged error: 0.3b

Counts
39 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))
0.0b
(* x (sqrt (exp (* y y))))
0.2b
(sqrt (exp (* y y)))
0.2b
(sqrt (exp (* y y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×sqrt-pow1 add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×rem-sqrt-square exp-prod exp-to-pow pow1/2 *-commutative unswap-sqr
Counts
4 → 81
Calls
4 calls:
9.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))
6.0ms
(* x (sqrt (exp (* y y))))
2.0ms
(sqrt (exp (* y y)))
2.0ms
(sqrt (exp (* y y)))

series147.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (* x (sqrt (exp (* y y)))) (sqrt (exp (* y y))))
60.0ms
(* x (sqrt (exp (* y y))))
21.0ms
(sqrt (exp (* y y)))
21.0ms
(sqrt (exp (* y y)))

simplify95.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0172504
1797444
23079432
35001429

prune161.0ms

Filtered
93 candidates to 64 candidates (68.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New92193
Fresh022
Picked011
Done011
Total92597

Merged error: 0.3b

Counts
97 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (sqrt (exp (pow y 2))) 3)
0.2b
(cbrt (pow (sqrt (exp (pow y 2))) 3))
0.2b
(sqrt (exp (* y y)))
0.2b
(sqrt (exp (pow y 2)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
21×sqrt-pow1
20×add-cube-cbrt *-un-lft-identity
18×cbrt-prod unpow-prod-down sqrt-prod
17×exp-prod
12×cube-prod
11×pow-pow
8×pow1
5×add-exp-log add-cbrt-cube add-log-exp
4×expm1-log1p-u log1p-expm1-u sqr-pow
3×pow-unpow pow1/2
2×cube-mult rem-sqrt-square unpow3 unpow2
1×pow-to-exp exp-to-pow pow1/3 pow-exp sqrt-pow2 rem-cbrt-cube rem-cube-cbrt
Counts
4 → 111
Calls
4 calls:
6.0ms
(pow (sqrt (exp (pow y 2))) 3)
4.0ms
(cbrt (pow (sqrt (exp (pow y 2))) 3))
2.0ms
(sqrt (exp (* y y)))
4.0ms
(sqrt (exp (pow y 2)))

series111.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(pow (sqrt (exp (pow y 2))) 3)
24.0ms
(cbrt (pow (sqrt (exp (pow y 2))) 3))
20.0ms
(sqrt (exp (* y y)))
21.0ms
(sqrt (exp (pow y 2)))

simplify46.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0246534
1897501
25002475

prune305.0ms

Filtered
123 candidates to 78 candidates (63.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh022
Picked011
Done022
Total1235128

Merged error: 0.3b

Counts
128 → 5

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma y y (fma 1/2 (pow y 4) 1))
0.0b
(* x (fma y y (fma 1/2 (pow y 4) 1)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
3×associate-*r* associate-*l* fma-udef
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 32
Calls
2 calls:
1.0ms
(fma y y (fma 1/2 (pow y 4) 1))
4.0ms
(* x (fma y y (fma 1/2 (pow y 4) 1)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(fma y y (fma 1/2 (pow y 4) 1))
92.0ms
(* x (fma y y (fma 1/2 (pow y 4) 1)))

simplify102.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0110204
1533175
23178175
35001175

prune86.0ms

Filtered
38 candidates to 27 candidates (71.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New36238
Fresh101
Picked101
Done123
Total39443

Merged error: 0.2b

Counts
43 → 4

regimes98.0ms

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

sample666.0ms

Algorithm
intervals
Results
399.0ms16026×body80valid