Details

Time bar (total: 1.7s)

sample25.0ms

Algorithm
intervals
Results
10.0ms314×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
01349
11349

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 1.0) z)
0.0b
(+ (* x y) (* (- x 1.0) z))

rewrite10.0ms

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:
6.0ms
(* (- x 1.0) z)
4.0ms
(+ (* x y) (* (- x 1.0) z))

series11.0ms

Counts
2 → 6
Calls
2 calls:
4.0ms
(* (- x 1.0) z)
7.0ms
(+ (* x y) (* (- x 1.0) z))

simplify23.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
05414345

prune50.0ms

Filtered
26 candidates to 39 candidates (-50.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- x 1.0) z)
0.0b
(sqrt (* (- x 1.0) z))
0.0b
(sqrt (* (- x 1.0) z))
0.3b
(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
16×add-sqr-sqrt sqrt-div
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-- associate-*l* flip--
8×add-exp-log add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out-- difference-of-squares
Counts
4 → 105
Calls
4 calls:
6.0ms
(* (- x 1.0) z)
5.0ms
(sqrt (* (- x 1.0) z))
4.0ms
(sqrt (* (- x 1.0) z))
15.0ms
(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

series30.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(* (- x 1.0) z)
11.0ms
(sqrt (* (- x 1.0) z))
11.0ms
(sqrt (* (- x 1.0) z))
4.0ms
(* (sqrt (* (- x 1.0) z)) (sqrt (* (- x 1.0) z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05186857

prune126.0ms

Filtered
68 candidates to 117 candidates (-72.1%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1170117
Fresh022
Picked011
Done011
Total1174121

Merged error: 0.0b

Counts
121 → 4

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- x 1.0) z)
0.0b
(+ (* x y) (* (- x 1.0) z))
2.8b
(exp (log (+ (* x y) (* (- x 1.0) z))))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×*-un-lft-identity
7×add-cube-cbrt
6×pow1
5×add-exp-log associate-*l* add-cbrt-cube add-log-exp
4×exp-prod
3×log-prod associate-*r* exp-sum
2×log-div flip3-+ exp-diff associate-*l/ flip-+
1×+-commutative flip3-- pow-prod-down prod-exp sum-log log-pow *-commutative flip-- cbrt-unprod rem-exp-log distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 50
Calls
3 calls:
6.0ms
(* (- x 1.0) z)
4.0ms
(+ (* x y) (* (- x 1.0) z))
4.0ms
(exp (log (+ (* x y) (* (- x 1.0) z))))

series19.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* (- x 1.0) z)
7.0ms
(+ (* x y) (* (- x 1.0) z))
7.0ms
(exp (log (+ (* x y) (* (- x 1.0) z))))

simplify26.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (21.0ms)

IterNodesCost
05480590

prune67.0ms

Filtered
37 candidates to 59 candidates (-59.5%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh011
Picked011
Done022
Total59463

Merged error: 0.0b

Counts
63 → 4

localize19.0ms

Local error

Found 4 expressions with local error:

3.5b
(* x (* x (* y y)))
4.5b
(* (- x 1.0) (* z z))
8.0b
(* x (* y y))
30.2b
(/ (- (* x (* x (* y y))) (* (- x 1.0) (* (- x 1.0) (* z z)))) (+ (* 1.0 z) (* x (- y z))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
23×pow1
19×add-sqr-sqrt
17×*-un-lft-identity
15×add-cube-cbrt
12×pow-prod-down prod-exp cbrt-unprod
11×associate-*l*
9×times-frac
4×add-log-exp
3×associate-*r* associate-/r* *-commutative associate-/l*
2×flip3-- associate-*l/ associate-/r/ flip-- associate-/l/ unswap-sqr
1×cbrt-undiv frac-2neg flip3-+ div-sub div-exp clear-num flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
4 → 95
Calls
4 calls:
7.0ms
(* x (* x (* y y)))
8.0ms
(* (- x 1.0) (* z z))
5.0ms
(* x (* y y))
11.0ms
(/ (- (* x (* x (* y y))) (* (- x 1.0) (* (- x 1.0) (* z z)))) (+ (* 1.0 z) (* x (- y z))))

series62.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* x (* x (* y y)))
11.0ms
(* (- x 1.0) (* z z))
6.0ms
(* x (* y y))
39.0ms
(/ (- (* x (* x (* y y))) (* (- x 1.0) (* (- x 1.0) (* z z)))) (+ (* 1.0 z) (* x (- y z))))

simplify44.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049761826
149761826

prune110.0ms

Filtered
66 candidates to 107 candidates (-62.1%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1061107
Fresh000
Picked011
Done033
Total1065111

Merged error: 0b

Counts
111 → 5

regimes239.0ms

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
0119
1119

end0.0ms

sample681.0ms

Algorithm
intervals
Results
317.0ms10151×body80valid

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