Details

Time bar (total: 2.8s)

sample19.0ms

Algorithm
intervals
Results
8.0ms287×body80valid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1294
2544
3774
41044
51254
61344
71444
81454
91494
101534
112484
122864
133084
143944
154634
165214
176154
186914
197004
207004

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: 12.2b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.4b
(/ (* x (- y z)) (- t z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-exp-log add-cbrt-cube
6×add-cube-cbrt
5×times-frac associate-*r* associate-/r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
6.0ms
(* x (- y z))
8.0ms
(/ (* x (- y z)) (- t z))

series100.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(* x (- y z))
66.0ms
(/ (* x (- y z)) (- t z))

simplify40.0ms

Algorithm
egg-herbie
Counts
61 → 61
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0264276
11209239
25001239

prune104.0ms

Filtered
61 candidates to 40 candidates (65.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New53861
Fresh000
Picked101
Done000
Total54862

Merged error: 0.0b

Counts
62 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
0.7b
(* x (/ (- y z) (- t z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
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-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- y z) (- t z))
16.0ms
(* x (/ (- y z) (- t z)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(/ (- y z) (- t z))
66.0ms
(* x (/ (- y z) (- t z)))

simplify41.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0349647
11396606
25002606

prune174.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1044108
Fresh257
Picked011
Done000
Total10610116

Merged error: 0b

Counts
116 → 10

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* (- y z) (/ 1 (- t z)))
0.7b
(* x (* (- y z) (/ 1 (- t z))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- t z))
17.0ms
(* (- y z) (/ 1 (- t z)))
12.0ms
(* x (* (- y z) (/ 1 (- t z))))

series147.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- t z))
51.0ms
(* (- y z) (/ 1 (- t z)))
62.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify58.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0381671
11768562
25001520

prune183.0ms

Filtered
128 candidates to 73 candidates (57.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1280128
Fresh088
Picked011
Done011
Total12810138

Merged error: 0b

Counts
138 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- t z)) (cbrt (- t z)))
0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))

rewrite24.0ms

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:
11.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))

series564.0ms

Counts
4 → 12
Calls
4 calls:
121.0ms
(* (cbrt (- t z)) (cbrt (- t z)))
147.0ms
(cbrt (- t z))
142.0ms
(cbrt (- t z))
154.0ms
(cbrt (- t z))

simplify157.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (142.0ms)

IterNodesCost
0260760
1908723
24494667
35001657

prune285.0ms

Filtered
113 candidates to 81 candidates (71.7%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1130113
Fresh077
Picked011
Done022
Total11310123

Merged error: 0b

Counts
123 → 10

regimes133.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
094
194

end0.0ms

sample472.0ms

Algorithm
intervals
Results
259.0ms8765×body80valid

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