Details

Time bar (total: 2.9s)

sample20.0ms

Algorithm
intervals
Results
9.0ms331×body80valid

simplify37.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0134
1204
2344
3514
4584
5644
6814
71124
81594
92734
103704
114284
124504
134654
144654

prune2.0ms

Filtered
1 candidates to 0 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 → 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))

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

series63.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- x 1.0) z)
34.0ms
(+ (* x y) (* (- x 1.0) z))

simplify100.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0187183
1775166
24041166
35001166

prune74.0ms

Filtered
39 candidates to 28 candidates (71.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New36339
Fresh000
Picked011
Done000
Total36440

Merged error: 0.0b

Counts
40 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
2.9b
(* (- (* x x) (* 1.0 1.0)) z)
7.5b
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×times-frac associate-*l* associate-*l/ associate-/r*
3×associate-*r*
2×cbrt-undiv flip3-- flip3-+ div-exp prod-exp associate-/r/ flip-- cbrt-unprod flip-+ associate-/l/ distribute-lft-out
1×+-commutative frac-2neg pow-prod-down clear-num sum-log *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
7.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
6.0ms
(* (- (* x x) (* 1.0 1.0)) z)
13.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

series150.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (* x y) (/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0)))
45.0ms
(* (- (* x x) (* 1.0 1.0)) z)
55.0ms
(/ (* (- (* x x) (* 1.0 1.0)) z) (+ x 1.0))

simplify54.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0370531
11763466
25001457

prune118.0ms

Filtered
68 candidates to 48 candidates (70.6%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done011
Total68472

Merged error: 0.0b

Counts
72 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (- x 1.0) z) (* (- x 1.0) z))
0.3b
(* (* x y) (* x y))
3.4b
(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
27.9b
(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
14×associate-*l/
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
9×flip3-- flip--
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×frac-times pow-plus associate-/l*
3×associate-/r*
2×pow2 associate-*r/ swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
4 → 125
Calls
4 calls:
12.0ms
(* (* (- x 1.0) z) (* (- x 1.0) z))
7.0ms
(* (* x y) (* x y))
6.0ms
(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
12.0ms
(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

series268.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* (* (- x 1.0) z) (* (- x 1.0) z))
31.0ms
(* (* x y) (* x y))
84.0ms
(- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z)))
112.0ms
(/ (- (* (* x y) (* x y)) (* (* (- x 1.0) z) (* (- x 1.0) z))) (- (* x y) (* (- x 1.0) z)))

simplify89.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
05591312
128851112
250021090

prune190.0ms

Filtered
137 candidates to 73 candidates (53.3%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1370137
Fresh011
Picked011
Done022
Total1374141

Merged error: 0.0b

Counts
141 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x y) (* x y))
2.2b
(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
2.7b
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
39.3b
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
24×*-un-lft-identity
18×add-exp-log add-cbrt-cube
17×pow-prod-down
15×times-frac
14×add-sqr-sqrt add-cube-cbrt
8×prod-exp cbrt-unprod add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×associate-+l+ flip3-+ pow-sqr pow-prod-up flip-+
3×associate-/r*
2×+-commutative distribute-rgt-in sub-neg distribute-lft-in pow-plus sum-log associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative div-inv
Counts
4 → 101
Calls
4 calls:
6.0ms
(* (* x y) (* x y))
20.0ms
(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
7.0ms
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
24.0ms
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

series570.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (* x y) (* x y))
105.0ms
(+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y)))
152.0ms
(+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3))
277.0ms
(/ (+ (pow (* x y) 3) (pow (* (- x 1.0) z) 3)) (+ (* (* (- x 1.0) z) (- (* (- x 1.0) z) (* x y))) (* (* x y) (* x y))))

simplify103.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
04891650
125601514
250011509

prune246.0ms

Filtered
113 candidates to 68 candidates (60.2%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1130113
Fresh000
Picked011
Done033
Total1134117

Merged error: 0.0b

Counts
117 → 4

regimes81.0ms

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
0114
1114

end0.0ms

sample517.0ms

Algorithm
intervals
Results
300.0ms10117×body80valid

Profiling

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