Details

Time bar (total: 2.1s)

sample18.0ms

Algorithm
intervals
Results
10.0ms386×body80valid

simplify187.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
0155
1384
2804
31184
41744
53654
612994
746204
850014

prune5.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
0.1b
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
0.1b
(* 0.12900613773279798 (* x x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*l*
add-log-exp
associate-*r* pow-prod-down prod-exp cbrt-unprod
sub-neg
distribute-rgt-in flip3-- distribute-lft-in associate-*r/ *-commutative flip-- unswap-sqr
diff-log
Counts
3 → 55
Calls
3 calls:
3.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
5.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
9.0ms
(* 0.12900613773279798 (* x x))

series182.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
96.0ms
(* x (- 0.954929658551372 (* 0.12900613773279798 (* x x))))
25.0ms
(* 0.12900613773279798 (* x x))

simplify151.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0208309
1918272
24620271
35002271

prune79.0ms

Filtered
64 candidates to 39 candidates (60.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New60464
Fresh011
Picked101
Done000
Total61566

Merged error: 0b

Counts
66 → 5

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
0.1b
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
0.1b
(* (* 0.12900613773279798 x) x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity associate-*r*
add-log-exp
associate-*l* pow-prod-down prod-exp cbrt-unprod
sub-neg
distribute-rgt-in flip3-- distribute-lft-in associate-*r/ *-commutative flip--
diff-log unswap-sqr
Counts
3 → 54
Calls
3 calls:
3.0ms
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
5.0ms
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
5.0ms
(* (* 0.12900613773279798 x) x)

series183.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
96.0ms
(* x (- 0.954929658551372 (* (* 0.12900613773279798 x) x)))
28.0ms
(* (* 0.12900613773279798 x) x)

simplify38.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0209305
11065270
25001270

prune66.0ms

Filtered
63 candidates to 36 candidates (57.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New63063
Fresh044
Picked011
Done000
Total63568

Merged error: 0b

Counts
68 → 5

localize7.0ms

Local error

Found 4 expressions with local error:

0.1b
(* 0.12900613773279798 (* x x))
0.3b
(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
25.1b
(sqrt (* 0.12900613773279798 (* x x)))
25.1b
(sqrt (* 0.12900613773279798 (* x x)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
148×pow1
80×pow-prod-down
66×sqrt-pow1
17×pow-prod-up
14×pow1/2
12×add-sqr-sqrt
11×add-exp-log pow-sqr add-cbrt-cube
add-cube-cbrt *-un-lft-identity
associate-*l*
sqrt-prod
associate-*r*
swap-sqr prod-exp cbrt-unprod add-log-exp
*-commutative unswap-sqr
pow2 pow-plus sqrt-unprod rem-square-sqrt
Counts
4 → 109
Calls
4 calls:
6.0ms
(* 0.12900613773279798 (* x x))
13.0ms
(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
4.0ms
(sqrt (* 0.12900613773279798 (* x x)))
4.0ms
(sqrt (* 0.12900613773279798 (* x x)))

series170.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 0.12900613773279798 (* x x))
72.0ms
(* (sqrt (* 0.12900613773279798 (* x x))) (sqrt (* 0.12900613773279798 (* x x))))
34.0ms
(sqrt (* 0.12900613773279798 (* x x)))
38.0ms
(sqrt (* 0.12900613773279798 (* x x)))

simplify37.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0169362
1787296
25001285

prune120.0ms

Filtered
121 candidates to 55 candidates (45.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh033
Picked011
Done011
Total1215126

Merged error: 0b

Counts
126 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
0.4b
(* 0.12900613773279798 (pow x 3))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
12×associate-*r*
add-exp-log
add-cube-cbrt *-un-lft-identity add-log-exp
unpow-prod-down cube-prod add-cbrt-cube unswap-sqr
associate-*l* prod-exp
pow1 sum-log sqr-pow
+-commutative neg-sub0 cube-mult pow-to-exp associate-+r- flip3-+ unpow3 unsub-neg neg-log pow-exp *-commutative cbrt-unprod flip-+
Counts
2 → 46
Calls
2 calls:
4.0ms
(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
7.0ms
(* 0.12900613773279798 (pow x 3))

series141.0ms

Counts
2 → 6
Calls
2 calls:
99.0ms
(+ (* x 0.954929658551372) (- (* 0.12900613773279798 (pow x 3))))
42.0ms
(* 0.12900613773279798 (pow x 3))

simplify44.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0216235
11062204
25001204

prune65.0ms

Filtered
52 candidates to 31 candidates (59.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New52052
Fresh022
Picked011
Done022
Total52557

Merged error: 0b

Counts
57 → 5

regimes35.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample467.0ms

Algorithm
intervals
Results
334.0ms11987×body80valid

Profiling

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