Details

Time bar (total: 5.0s)

sample35.0ms

Algorithm
intervals
Results
11.0ms279×body80valid

simplify91.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
744765
850025

prune5.0ms

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: 9.7b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
9.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 56
Calls
3 calls:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
5.0ms
(/ (- x (* y z)) (- t (* a z)))

series146.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- t (* a z))
45.0ms
(- x (* y z))
64.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify81.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0251407
1852375
23287375
35001375

prune337.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New511465
Fresh000
Picked011
Done000
Total511566

Merged error: 9.4b

Counts
66 → 15

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.5b
(/ 1 (- t (* a z)))
9.2b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- flip--
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp diff-log 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 99
Calls
4 calls:
2.0ms
(- t (* a z))
2.0ms
(- x (* y z))
4.0ms
(/ 1 (- t (* a z)))
9.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- t (* a z))
28.0ms
(- x (* y z))
48.0ms
(/ 1 (- t (* a z)))
53.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0333665
11483585
25002559

prune467.0ms

Filtered
111 candidates to 67 candidates (60.4%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1101111
Fresh21113
Picked011
Done011
Total11214126

Merged error: 9.4b

Counts
126 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
0.8b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
9.2b
(/ (- t (* a z)) (- x (* y z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
17×add-exp-log
11×associate-/r/ add-cbrt-cube
8×flip3-- div-exp flip-- add-log-exp
6×div-inv associate-/l*
5×pow1
4×cbrt-undiv
2×sub-neg rec-exp frac-2neg diff-log 1-exp clear-num associate-/l/
1×pow-flip div-sub inv-pow
Counts
4 → 140
Calls
4 calls:
3.0ms
(- t (* a z))
2.0ms
(- x (* y z))
8.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
10.0ms
(/ (- t (* a z)) (- x (* y z)))

series315.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- t (* a z))
33.0ms
(- x (* y z))
199.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
53.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify59.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04971435
122451303
250011217

prune541.0ms

Filtered
152 candidates to 86 candidates (56.6%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1502152
Fresh11011
Picked011
Done022
Total15115166

Merged error: 9.4b

Counts
166 → 15

localize12.0ms

Local error

Found 4 expressions with local error:

9.1b
(cbrt (- t (* a z)))
9.1b
(cbrt (- t (* a z)))
9.1b
(cbrt (- t (* a z)))
9.5b
(/ (- x (* y z)) (* (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))) (cbrt (- t (* a z)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
31×flip3-- flip--
28×frac-times
26×associate-/r/
14×associate-*l/
13×add-exp-log
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
8×associate-*r/
4×pow1 add-log-exp
3×cbrt-undiv times-frac pow1/3 div-exp prod-exp cbrt-unprod associate-/l*
2×associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 91
Calls
4 calls:
5.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
2.0ms
(cbrt (- t (* a z)))
17.0ms
(/ (- x (* y z)) (* (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))) (cbrt (- t (* a z)))))

series422.0ms

Counts
4 → 12
Calls
4 calls:
112.0ms
(cbrt (- t (* a z)))
111.0ms
(cbrt (- t (* a z)))
111.0ms
(cbrt (- t (* a z)))
88.0ms
(/ (- x (* y z)) (* (* (cbrt (- t (* a z))) (cbrt (- t (* a z)))) (cbrt (- t (* a z)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
05491367
115781248
250021174

prune497.0ms

Filtered
103 candidates to 76 candidates (73.8%)
Pruning

15 alts after pruning (11 fresh and 4 done)

PrunedKeptTotal
New1030103
Fresh01111
Picked011
Done033
Total10315118

Merged error: 9.4b

Counts
118 → 15

regimes789.0ms

Accuracy

0% (0.3b remaining)

Error of 10.7b against oracle of 10.4b and baseline of 10.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample800.0ms

Algorithm
intervals
Results
320.0ms8733×body80valid

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