Details

Time bar (total: 1.9s)

sample22.0ms

Algorithm
intervals
Results
9.0ms332×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
01349
11349

prune6.0ms

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

prune48.0ms

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: 0b

Counts
40 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
0.5b
(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b
(cbrt (+ (* x y) (* (- x 1.0) z)))
0.5b
(cbrt (+ (* x y) (* (- x 1.0) z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
9.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

series186.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* (cbrt (+ (* x y) (* (- x 1.0) z))) (cbrt (+ (* x y) (* (- x 1.0) z))))
42.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
40.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))
42.0ms
(cbrt (+ (* x y) (* (- x 1.0) z)))

simplify34.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (24.0ms)

IterNodesCost
051051826

prune203.0ms

Filtered
80 candidates to 99 candidates (-23.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New99099
Fresh022
Picked011
Done011
Total994103

Merged error: 0b

Counts
103 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (- x 1.0) z))
0.0b
(sqrt (+ (* x y) (* (- x 1.0) z)))
0.0b
(sqrt (+ (* x y) (* (- x 1.0) z)))
0.2b
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×add-cube-cbrt *-un-lft-identity
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+
8×swap-sqr
6×add-exp-log associate-*r* associate-*l* add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 pow-plus sqrt-unprod prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(+ (* x y) (* (- x 1.0) z))
3.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
3.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
10.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

series49.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ (* x y) (* (- x 1.0) z))
17.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
18.0ms
(sqrt (+ (* x y) (* (- x 1.0) z)))
7.0ms
(* (sqrt (+ (* x y) (* (- x 1.0) z))) (sqrt (+ (* x y) (* (- x 1.0) z))))

simplify38.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (25.0ms)

IterNodesCost
054341596

prune124.0ms

Filtered
65 candidates to 110 candidates (-69.2%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh011
Picked011
Done022
Total1104114

Merged error: 0b

Counts
114 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (- x 1.0) (* z z))
4.3b
(* x (* x (* y y)))
8.1b
(* x (* y y))
27.5b
(/ (- (* x (* x (* y y))) (* (- x 1.0) (* (- x 1.0) (* z z)))) (+ (* 1.0 z) (* x (- y z))))

rewrite36.0ms

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:
10.0ms
(* (- x 1.0) (* z z))
7.0ms
(* x (* x (* y y)))
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))))

series59.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(* (- x 1.0) (* z z))
6.0ms
(* x (* x (* y y)))
6.0ms
(* x (* y y))
38.0ms
(/ (- (* 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 (33.0ms)

IterNodesCost
049761826
149761826

prune111.0ms

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

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1070107
Fresh000
Picked011
Done033
Total1074111

Merged error: 0b

Counts
111 → 4

regimes186.0ms

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

sample613.0ms

Algorithm
intervals
Results
278.0ms10158×body80valid

Profiling

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