Details

Time bar (total: 2.2s)

sample24.0ms

Algorithm
intervals
Results
8.0ms283×body80valid

simplify51.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0174
1254
2494
3724
41054
51224
61394
71494
81564
91604
101644
112594
122974
133194
144054
154744
165324
176264
187024
197114
207114

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.7b
(* (/ (- x y) (- z y)) t)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
12.0ms
(/ (- x y) (- z y))
12.0ms
(* (/ (- x y) (- z y)) t)

series31.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- x y) (- z y))
22.0ms
(* (/ (- x y) (- z y)) t)

simplify99.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0360653
11125612
24514611
35001611

prune112.0ms

Filtered
72 candidates to 108 candidates (-50.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1017108
Fresh000
Picked011
Done000
Total1018109

Merged error: 0.0b

Counts
109 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
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 → 101
Calls
4 calls:
13.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- x y))

series110.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
26.0ms
(cbrt (- x y))
26.0ms
(cbrt (- x y))
26.0ms
(cbrt (- x y))

simplify126.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (117.0ms)

IterNodesCost
0288793
1873756
23997674
35001652

prune118.0ms

Filtered
78 candidates to 113 candidates (-44.9%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1130113
Fresh066
Picked011
Done011
Total1138121

Merged error: 0.0b

Counts
121 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.2b
(* (- x y) (/ 1 (- z y)))
1.7b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
10×associate-*l/
8×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp associate-*l* flip--
5×associate-/r*
4×frac-times pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×associate-*r/ un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- z y))
13.0ms
(* (- x y) (/ 1 (- z y)))
12.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series36.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z y))
9.0ms
(* (- x y) (/ 1 (- z y)))
23.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify49.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0392673
11893556
25001514

prune101.0ms

Filtered
71 candidates to 128 candidates (-80.3%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh055
Picked011
Done022
Total1288136

Merged error: 0.0b

Counts
136 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ t (- z y))
8.9b
(* (- x y) (/ t (- z y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
21×associate-*r*
9×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×associate-*l* associate-/r*
4×pow1 flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 83
Calls
2 calls:
5.0ms
(/ t (- z y))
12.0ms
(* (- x y) (/ t (- z y)))

series22.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ t (- z y))
15.0ms
(* (- x y) (/ t (- z y)))

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0293474
11347437
25001437

prune70.0ms

Filtered
63 candidates to 89 candidates (-41.3%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New88189
Fresh134
Picked011
Done033
Total89897

Merged error: 0.0b

Counts
97 → 8

regimes437.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01618
11618

end0.0ms

sample628.0ms

Algorithm
intervals
Results
256.0ms8715×body80valid

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