Details

Time bar (total: 1.9s)

sample22.0ms

Algorithm
intervals
Results
7.0ms339×body80valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
03007
13007

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) z))
0.0b
(* (- y x) z)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
3.0ms
(+ x (* (- y x) z))
6.0ms
(* (- y x) z)

series15.0ms

Counts
2 → 6
Calls
2 calls:
8.0ms
(+ x (* (- y x) z))
7.0ms
(* (- y x) z)

simplify49.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05046303

prune48.0ms

Filtered
27 candidates to 39 candidates (-44.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540

Merged error: 0b

Counts
40 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
9.0ms
(* (cbrt z) (cbrt z))
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series98.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (cbrt z) (cbrt z))
23.0ms
(cbrt z)
23.0ms
(cbrt z)
23.0ms
(cbrt z)

simplify57.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05165356

prune85.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh033
Picked011
Done011
Total85590

Merged error: 0b

Counts
90 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(* z (* z (- x y)))
4.5b
(+ (* x x) (* (- y x) (* z (* z (- x y)))))
4.5b
(* (- y x) (* z (* z (- x y))))
24.4b
(/ (+ (* x x) (* (- y x) (* z (* z (- x y))))) (+ x (* z (- x y))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
56×distribute-rgt-in distribute-lft-in
20×add-exp-log sub-neg add-cbrt-cube
18×pow1 associate-*r/
16×add-sqr-sqrt associate-+r+ *-un-lft-identity
14×add-cube-cbrt
9×times-frac pow-prod-down prod-exp cbrt-unprod
8×associate-*l*
7×flip3-- flip--
6×add-log-exp
4×frac-times
3×flip3-+ associate-/r* flip-+ associate-/l*
2×associate-*r* associate-*l/ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 133
Calls
4 calls:
10.0ms
(* z (* z (- x y)))
7.0ms
(+ (* x x) (* (- y x) (* z (* z (- x y)))))
14.0ms
(* (- y x) (* z (* z (- x y))))
10.0ms
(/ (+ (* x x) (* (- y x) (* z (* z (- x y))))) (+ x (* z (- x y))))

series107.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* z (* z (- x y)))
27.0ms
(+ (* x x) (* (- y x) (* z (* z (- x y)))))
13.0ms
(* (- y x) (* z (* z (- x y))))
59.0ms
(/ (+ (* x x) (* (- y x) (* z (* z (- x y))))) (+ x (* z (- x y))))

simplify57.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049892547
149892547

prune108.0ms

Filtered
82 candidates to 145 candidates (-76.8%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1450145
Fresh022
Picked011
Done022
Total1455150

Merged error: 0b

Counts
150 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- y x) z)
0.0b
(sqrt (+ x (* (- y x) z)))
0.0b
(sqrt (+ x (* (- y x) z)))
0.3b
(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
24×sqrt-prod
23×pow1
18×*-un-lft-identity
16×add-cube-cbrt sqrt-div
11×associate-*l*
10×sqrt-pow1 pow1/2
9×associate-*r*
8×add-exp-log flip3-+ swap-sqr add-cbrt-cube flip-+
5×pow-prod-up unswap-sqr
4×frac-times pow-prod-down associate-*l/ add-log-exp
3×pow-sqr
2×rem-sqrt-square associate-*r/ prod-exp *-commutative cbrt-unprod
1×pow2 flip3-- pow-plus sqrt-unprod rem-square-sqrt flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 109
Calls
4 calls:
6.0ms
(* (- y x) z)
3.0ms
(sqrt (+ x (* (- y x) z)))
3.0ms
(sqrt (+ x (* (- y x) z)))
10.0ms
(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

series137.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(* (- y x) z)
58.0ms
(sqrt (+ x (* (- y x) z)))
62.0ms
(sqrt (+ x (* (- y x) z)))
8.0ms
(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

simplify79.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
049581323
149581323

prune95.0ms

Filtered
71 candidates to 121 candidates (-70.4%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1210121
Fresh011
Picked011
Done033
Total1215126

Merged error: 0b

Counts
126 → 5

regimes206.0ms

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 (1.0ms)

IterNodesCost
0187
1187

end0.0ms

sample602.0ms

Algorithm
intervals
Results
243.0ms10199×body80valid

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