Details

Time bar (total: 1.7s)

sample26.0ms

Algorithm
intervals
Results
13.0ms438×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1254
2274
3274

prune7.0ms

Filtered
1 candidates to 1 candidates (0.0%)
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 2 expressions with local error:

0.0b
(+ (* y y) (* x (+ 2.0 x)))
0.0b
(* x (+ 2.0 x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
4.0ms
(+ (* y y) (* x (+ 2.0 x)))
9.0ms
(* x (+ 2.0 x))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (* y y) (* x (+ 2.0 x)))
5.0ms
(* x (+ 2.0 x))

simplify33.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0206183
11038169
25002169

prune47.0ms

Filtered
42 candidates to 27 candidates (35.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New40242
Fresh011
Picked011
Done000
Total40444

Merged error: 0.0b

Counts
44 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ (* x 2.0) (* x x)) (* y y))
0.0b
(+ (* x 2.0) (* x x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+ distribute-lft-out
Counts
2 → 25
Calls
2 calls:
5.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
3.0ms
(+ (* x 2.0) (* x x))

series11.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ (+ (* x 2.0) (* x x)) (* y y))
5.0ms
(+ (* x 2.0) (* x x))

simplify98.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0182191
1887164
23634160
35002160

prune40.0ms

Filtered
31 candidates to 23 candidates (25.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New31031
Fresh022
Picked011
Done011
Total31435

Merged error: 0.0b

Counts
35 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(log (* x (+ 2.0 x)))
0.0b
(+ (* y y) (exp (log (* x (+ 2.0 x)))))
0.0b
(* x (+ 2.0 x))
3.9b
(exp (log (* x (+ 2.0 x))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
9×add-exp-log add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×associate-*r/ add-cbrt-cube add-log-exp
5×exp-prod
4×log-div flip3-+ associate-*r* log-pow flip-+
3×associate-*l* pow-prod-down
2×log-prod exp-diff rem-log-exp prod-exp
1×+-commutative distribute-rgt-in distribute-lft-in exp-sum sum-log *-commutative cbrt-unprod rem-exp-log distribute-lft-out unswap-sqr
Counts
4 → 64
Calls
4 calls:
4.0ms
(log (* x (+ 2.0 x)))
7.0ms
(+ (* y y) (exp (log (* x (+ 2.0 x)))))
6.0ms
(* x (+ 2.0 x))
6.0ms
(exp (log (* x (+ 2.0 x))))

series19.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(log (* x (+ 2.0 x)))
6.0ms
(+ (* y y) (exp (log (* x (+ 2.0 x)))))
4.0ms
(* x (+ 2.0 x))
5.0ms
(exp (log (* x (+ 2.0 x))))

simplify41.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0312369
11402326
25001319

prune91.0ms

Filtered
76 candidates to 49 candidates (35.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New76076
Fresh011
Picked011
Done022
Total76480

Merged error: 0.0b

Counts
80 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y y) (cbrt (pow (* x (+ 2.0 x)) 3)))
0.0b
(* x (+ 2.0 x))
0.1b
(pow (* x (+ 2.0 x)) 3)
40.4b
(cbrt (pow (* x (+ 2.0 x)) 3))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt
6×associate-*r/ add-log-exp
4×cube-div flip3-+ associate-*r* flip-+
3×pow-unpow associate-*l*
2×cube-mult unpow-prod-down cbrt-div pow-pow unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×+-commutative distribute-rgt-in pow-to-exp distribute-lft-in pow1/3 sum-log *-commutative rem-cbrt-cube distribute-lft-out unswap-sqr
Counts
4 → 77
Calls
4 calls:
5.0ms
(+ (* y y) (cbrt (pow (* x (+ 2.0 x)) 3)))
6.0ms
(* x (+ 2.0 x))
6.0ms
(pow (* x (+ 2.0 x)) 3)
3.0ms
(cbrt (pow (* x (+ 2.0 x)) 3))

series24.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* y y) (cbrt (pow (* x (+ 2.0 x)) 3)))
4.0ms
(* x (+ 2.0 x))
3.0ms
(pow (* x (+ 2.0 x)) 3)
7.0ms
(cbrt (pow (* x (+ 2.0 x)) 3))

simplify59.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0350421
11804381
25001380

prune107.0ms

Filtered
89 candidates to 60 candidates (32.6%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New89089
Fresh000
Picked011
Done033
Total89493

Merged error: 0.0b

Counts
93 → 4

regimes195.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104
1104

end0.0ms

sample763.0ms

Algorithm
intervals
Results
409.0ms14124×body80valid

Profiling

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