Details

Time bar (total: 3.9s)

analyze558.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
19.9%79.9%0.2%9
22.8%77%0.2%10
35.1%64.7%0.2%11
45%54.8%0.2%12
53.8%45.1%1.2%13
56.2%42.4%1.5%14

sample19.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms23×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0569
1569

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.5b
(* (/ (- x y) (- z y)) t)

rewrite29.0ms

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:
11.0ms
(/ (- x y) (- z y))
13.0ms
(* (/ (- x y) (- z y)) t)

series33.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(/ (- x y) (- z y))
23.0ms
(* (/ (- x y) (- z y)) t)

simplify54.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
051661185

prune126.0ms

Filtered
73 candidates to 108 candidates (-47.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1017108
Fresh011
Picked011
Done000
Total1019110

Merged error: 0.0b

Counts
110 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))
0.6b
(cbrt (- z y))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- x y))
3.0ms
(cbrt (- z y))
5.0ms
(cbrt (- z y))
3.0ms
(cbrt (- z y))

series122.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05110588

prune117.0ms

Filtered
60 candidates to 72 candidates (-20.0%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New70272
Fresh167
Picked011
Done011
Total711081

Merged error: 0b

Counts
81 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z y))
0.3b
(* (- x y) (/ 1 (- z y)))
1.5b
(* (* (- x y) (/ 1 (- z y))) t)

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 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:
6.0ms
(/ 1 (- z y))
14.0ms
(* (- x y) (/ 1 (- z y)))
13.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series40.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- z y))
12.0ms
(* (- x y) (/ 1 (- z y)))
23.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify49.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
054821084

prune311.0ms

Filtered
74 candidates to 128 candidates (-73.0%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1271128
Fresh167
Picked011
Done022
Total12810138

Merged error: 0b

Counts
138 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
3.7b
(cbrt (/ (- x y) (- z y)))
3.7b
(cbrt (/ (- x y) (- z y)))
3.7b
(cbrt (/ (- x y) (- z y)))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
333×*-un-lft-identity
277×cbrt-prod
273×add-sqr-sqrt
229×times-frac
106×distribute-lft-out--
93×add-cube-cbrt
78×difference-of-squares
58×swap-sqr
34×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
40.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))
7.0ms
(cbrt (/ (- x y) (- z y)))

series303.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
70.0ms
(cbrt (/ (- x y) (- z y)))
69.0ms
(cbrt (/ (- x y) (- z y)))
73.0ms
(cbrt (/ (- x y) (- z y)))

simplify100.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 0 (71.0ms)

IterNodesCost
050425458

prune223.0ms

Filtered
176 candidates to 288 candidates (-63.6%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New2880288
Fresh066
Picked011
Done033
Total28810298

Merged error: 0b

Counts
298 → 10

regimes590.0ms

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
01631
11631

end0.0ms

analyze546.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
3.1%96.7%0.2%8
19.9%79.9%0.2%9
22.8%77%0.2%10
35.1%64.7%0.2%11
45%54.8%0.2%12
53.8%45.1%1.2%13
56.2%42.4%1.5%14

sample462.0ms

Algorithm
intervals
Results
243.0ms8000×body80valid
17.0ms586×body80invalid

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