Details

Time bar (total: 3.5s)

analyze436.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms15×body80invalid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1304
2654
31564
43024
54704
68654
712434
815454
917054
1017054

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.6b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- y z) (- t z))
8.6b
(/ x (* (- y z) (- t z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt flip3-- flip--
10×*-un-lft-identity
add-exp-log add-cbrt-cube
frac-times associate-/r/
add-cube-cbrt
associate-*r* associate-*l*
pow1 associate-*r/ associate-*l/
times-frac associate-/l*
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
frac-2neg pow-prod-down clear-num associate-/r* *-commutative div-inv unswap-sqr
Counts
2 → 63
Calls
2 calls:
12.0ms
(* (- y z) (- t z))
8.0ms
(/ x (* (- y z) (- t z)))

series34.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* (- y z) (- t z))
26.0ms
(/ x (* (- y z) (- t z)))

simplify38.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0300403
11371359
25001355

prune98.0ms

Filtered
51 candidates to 69 candidates (-35.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New61869
Fresh000
Picked101
Done000
Total62870

Merged error: 0.0b

Counts
70 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (- t z))
0.0b
(/ 1 (- y z))
1.0b
(* (/ 1 (- y z)) (/ x (- t z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
86×add-sqr-sqrt
71×*-un-lft-identity
67×times-frac
41×add-cube-cbrt
31×add-exp-log
21×associate-*r* associate-*l*
19×add-cbrt-cube
14×distribute-lft-out-- difference-of-squares
11×div-exp
10×associate-/r*
prod-exp associate-/r/
pow1 cbrt-undiv associate-/l* unswap-sqr
flip3-- flip-- cbrt-unprod div-inv
rec-exp 1-exp add-log-exp
frac-2neg clear-num
frac-times pow-flip associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 150
Calls
3 calls:
5.0ms
(/ x (- t z))
5.0ms
(/ 1 (- y z))
18.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

series58.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(/ x (- t z))
4.0ms
(/ 1 (- y z))
46.0ms
(* (/ 1 (- y z)) (/ x (- t z)))

simplify54.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0518907
12245796
25001756

prune141.0ms

Filtered
96 candidates to 159 candidates (-65.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1536159
Fresh437
Picked101
Done000
Total1589167

Merged error: 0b

Counts
167 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- t z) x)
0.0b
(/ 1 (- y z))
0.5b
(/ 1 (/ (- t z) x))
1.0b
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
292×times-frac
247×add-sqr-sqrt
211×*-un-lft-identity
136×add-cube-cbrt
104×add-exp-log
62×associate-*r*
52×div-exp
34×add-cbrt-cube
32×distribute-lft-out-- difference-of-squares
28×prod-exp
27×associate-/r*
21×associate-*l*
18×rec-exp 1-exp
15×unswap-sqr
14×cbrt-undiv
12×div-inv
11×associate-/l*
10×pow1
associate-/r/ cbrt-unprod
pow-flip inv-pow add-log-exp
flip3-- frac-2neg pow-prod-down clear-num flip--
associate-/l/
frac-times div-sub associate-*r/ associate-*l/ un-div-inv *-commutative
Counts
4 → 326
Calls
4 calls:
5.0ms
(/ (- t z) x)
5.0ms
(/ 1 (- y z))
8.0ms
(/ 1 (/ (- t z) x))
39.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

series139.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (- t z) x)
4.0ms
(/ 1 (- y z))
12.0ms
(/ 1 (/ (- t z) x))
117.0ms
(* (/ 1 (- y z)) (/ 1 (/ (- t z) x)))

simplify102.0ms

Algorithm
egg-herbie
Counts
338 → 338
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
011012475
148592120
250012087

prune260.0ms

Filtered
192 candidates to 338 candidates (-76.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New3353338
Fresh448
Picked101
Done000
Total3407347

Merged error: 0b

Counts
347 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) x)
0.0b
(/ 1 (- y z))
1.0b
(/ (/ 1 (- y z)) (/ (- t z) x))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
1059×times-frac
669×add-sqr-sqrt *-un-lft-identity
401×add-cube-cbrt
134×distribute-lft-out-- difference-of-squares
45×div-inv
43×associate-/r/
31×add-exp-log
29×associate-/l*
27×associate-/r*
22×flip3-- flip--
19×div-exp add-cbrt-cube
10×cbrt-undiv
pow1
rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
pow-flip div-sub inv-pow
Counts
3 → 542
Calls
3 calls:
5.0ms
(/ (- t z) x)
5.0ms
(/ 1 (- y z))
20.0ms
(/ (/ 1 (- y z)) (/ (- t z) x))

series127.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- t z) x)
4.0ms
(/ 1 (- y z))
116.0ms
(/ (/ 1 (- y z)) (/ (- t z) x))

simplify110.0ms

Algorithm
egg-herbie
Counts
551 → 551
Iterations

Useful iterations: 1 (40.0ms)

IterNodesCost
021246994
150016677

prune374.0ms

Filtered
274 candidates to 551 candidates (-101.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New5501551
Fresh156
Picked101
Done000
Total5526558

Merged error: 0b

Counts
558 → 6

regimes294.0ms

Accuracy

0% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

analyze419.0ms

Algorithm
search

sample452.0ms

Algorithm
intervals
Results
239.0ms8000×body80valid
12.0ms412×body80invalid

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