Details

Time bar (total: 2.5s)

sample17.0ms

Algorithm
intervals
Results
8.0ms272×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2173

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: 2.8b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.8b
(/ x (- y (* z t)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 flip3-- associate-/r/ flip--
cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
3.0ms
(- y (* z t))
7.0ms
(/ x (- y (* z t)))

series60.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(- y (* z t))
33.0ms
(/ x (- y (* z t)))

simplify109.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0157244
1479225
21401225
34323224
45001224

prune88.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New43447
Fresh000
Picked011
Done000
Total43548

Merged error: 2.8b

Counts
48 → 5

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.2b
(/ 1 (- y (* z t)))
2.9b
(* x (/ 1 (- y (* z t))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
pow1
add-log-exp
div-exp prod-exp associate-/r/
flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 83
Calls
3 calls:
3.0ms
(- y (* z t))
4.0ms
(/ 1 (- y (* z t)))
9.0ms
(* x (/ 1 (- y (* z t))))

series103.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(- y (* z t))
41.0ms
(/ 1 (- y (* z t)))
35.0ms
(* x (/ 1 (- y (* z t))))

simplify72.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0264479
11071416
23863386
35001386

prune125.0ms

Filtered
92 candidates to 55 candidates (59.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New91192
Fresh033
Picked011
Done011
Total91697

Merged error: 2.8b

Counts
97 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.8b
(/ 1 (/ (- y (* z t)) x))
2.6b
(/ (- y (* z t)) x)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
53×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×add-exp-log associate-/r*
10×add-cbrt-cube
div-exp
div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
rec-exp flip3-- frac-2neg 1-exp clear-num flip-- associate-/l/
sub-neg pow-flip diff-log div-sub associate-/r/ inv-pow
Counts
3 → 118
Calls
3 calls:
3.0ms
(- y (* z t))
7.0ms
(/ 1 (/ (- y (* z t)) x))
5.0ms
(/ (- y (* z t)) x)

series176.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- y (* z t))
107.0ms
(/ 1 (/ (- y (* z t)) x))
39.0ms
(/ (- y (* z t)) x)

simplify48.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0409937
11775836
25001759

prune146.0ms

Filtered
127 candidates to 70 candidates (55.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1270127
Fresh033
Picked011
Done022
Total1276133

Merged error: 2.8b

Counts
133 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

0.9b
(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
7.6b
(cbrt (/ 1 (- y (* z t))))
7.6b
(cbrt (/ 1 (- y (* z t))))
7.6b
(cbrt (/ 1 (- y (* z t))))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
27×add-sqr-sqrt times-frac
26×add-cube-cbrt *-un-lft-identity
pow1 add-exp-log
cbrt-div add-cbrt-cube
associate-/r/
associate-*r/ add-log-exp
flip3-- pow1/3 associate-*l* pow-prod-down prod-exp flip-- cbrt-unprod div-inv
frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 94
Calls
4 calls:
13.0ms
(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
4.0ms
(cbrt (/ 1 (- y (* z t))))
4.0ms
(cbrt (/ 1 (- y (* z t))))
4.0ms
(cbrt (/ 1 (- y (* z t))))

series488.0ms

Counts
4 → 12
Calls
4 calls:
136.0ms
(* x (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))))
119.0ms
(cbrt (/ 1 (- y (* z t))))
117.0ms
(cbrt (/ 1 (- y (* z t))))
115.0ms
(cbrt (/ 1 (- y (* z t))))

simplify99.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
03621059
11005988
23636947
35001887

prune215.0ms

Filtered
106 candidates to 68 candidates (64.2%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New1060106
Fresh022
Picked011
Done033
Total1066112

Merged error: 2.8b

Counts
112 → 6

regimes162.0ms

Accuracy

0% (0.1b remaining)

Error of 2.7b against oracle of 2.7b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample449.0ms

Algorithm
intervals
Results
244.0ms8360×body80valid

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