Details

Time bar (total: 2.4s)

sample32.0ms

Algorithm
intervals
Results
10.0ms338×body80valid

simplify31.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0204
1414
2584
3774
41114
51714
62934
75214
87074
97874
109644
119884
129884

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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 1 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
7×add-sqr-sqrt
6×add-exp-log times-frac add-cbrt-cube associate-/l*
4×distribute-lft-out--
3×add-cube-cbrt
2×cbrt-undiv div-exp associate-/l/ distribute-lft-out difference-of-squares
1×pow1 flip3-- frac-2neg div-sub prod-exp clear-num associate-/r* flip-- cbrt-unprod div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
9.0ms
(/ (- (+ x y) z) (* t 2.0))

series11.0ms

Counts
1 → 3
Calls
1 calls:
11.0ms
(/ (- (+ x y) z) (* t 2.0))

simplify66.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0203198
1740169
23492169
35001169

prune47.0ms

Filtered
33 candidates to 23 candidates (30.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New30333
Fresh000
Picked011
Done000
Total30434

Merged error: 0b

Counts
34 → 4

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b
(* (/ 1 t) (/ (- (+ x y) z) 2.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
35×*-un-lft-identity
34×times-frac
23×add-exp-log
22×associate-*r*
18×add-cube-cbrt
13×associate-*l* add-cbrt-cube
8×div-exp prod-exp
6×distribute-lft-out-- unswap-sqr
4×cbrt-undiv cbrt-unprod
3×pow1 distribute-lft-out difference-of-squares
2×rec-exp 1-exp div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative add-log-exp
Counts
1 → 65
Calls
1 calls:
17.0ms
(* (/ 1 t) (/ (- (+ x y) z) 2.0))

series12.0ms

Counts
1 → 3
Calls
1 calls:
12.0ms
(* (/ 1 t) (/ (- (+ x y) z) 2.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0396501
11791422
25002416

prune70.0ms

Filtered
68 candidates to 41 candidates (39.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New68068
Fresh022
Picked011
Done011
Total68472

Merged error: 0b

Counts
72 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
74×*-un-lft-identity
58×cbrt-prod
37×add-sqr-sqrt
22×distribute-lft-out--
18×cbrt-div
15×add-cube-cbrt swap-sqr
11×pow1 distribute-lft-out
9×flip3-- pow1/3 associate-*r* associate-*l* flip--
7×difference-of-squares
6×add-exp-log
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 → 111
Calls
4 calls:
16.0ms
(* (cbrt (- (+ x y) z)) (cbrt (- (+ x y) z)))
5.0ms
(cbrt (- (+ x y) z))
5.0ms
(cbrt (- (+ x y) z))
6.0ms
(cbrt (- (+ x y) z))

series134.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(* (cbrt (- (+ x y) z)) (cbrt (- (+ x y) z)))
31.0ms
(cbrt (- (+ x y) z))
30.0ms
(cbrt (- (+ x y) z))
34.0ms
(cbrt (- (+ x y) z))

simplify88.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
02841085
19051033
23536909
35001892

prune114.0ms

Filtered
123 candidates to 81 candidates (34.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1230123
Fresh011
Picked011
Done022
Total1234127

Merged error: 0b

Counts
127 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- (+ x y) z) (* t 2.0))
0.2b
(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
1.0b
(sqrt (/ (- (+ x y) z) (* t 2.0)))
1.0b
(sqrt (/ (- (+ x y) z) (* t 2.0)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
86×*-un-lft-identity
78×sqrt-prod
54×times-frac
52×add-sqr-sqrt
24×distribute-lft-out--
22×add-cube-cbrt
21×pow1 swap-sqr
13×associate-*r* associate-*l*
12×distribute-lft-out
11×add-exp-log add-cbrt-cube
10×sqrt-pow1 pow1/2
8×difference-of-squares
7×div-inv
6×sqrt-div associate-/l*
5×pow-prod-up
4×add-log-exp unswap-sqr
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square div-exp prod-exp cbrt-unprod associate-/l/
1×pow2 frac-times flip3-- frac-2neg pow-plus sqrt-unprod div-sub associate-*r/ associate-*l/ clear-num associate-/r* rem-square-sqrt *-commutative flip--
Counts
4 → 151
Calls
4 calls:
9.0ms
(/ (- (+ x y) z) (* t 2.0))
21.0ms
(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
7.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))
7.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))

series104.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(/ (- (+ x y) z) (* t 2.0))
40.0ms
(* (sqrt (/ (- (+ x y) z) (* t 2.0))) (sqrt (/ (- (+ x y) z) (* t 2.0))))
27.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))
27.0ms
(sqrt (/ (- (+ x y) z) (* t 2.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
03971145
117651043
250011022

prune163.0ms

Filtered
163 candidates to 96 candidates (41.1%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1630163
Fresh000
Picked011
Done033
Total1634167

Merged error: 0b

Counts
167 → 4

regimes486.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample826.0ms

Algorithm
intervals
Results
340.0ms10995×body80valid

Profiling

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