Details

Time bar (total: 4.3s)

analyze868.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms20×body80invalid

simplify99.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
744765
850025

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.7b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
10.4b
(/ (- 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
(- x (* y z))
2.0ms
(- t (* a z))
5.0ms
(/ (- x (* y z)) (- t (* a z)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- x (* y z))
10.0ms
(- t (* a z))
19.0ms
(/ (- 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

prune115.0ms

Filtered
50 candidates to 65 candidates (-30.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New531265
Fresh000
Picked011
Done000
Total531366

Merged error: 10.4b

Counts
66 → 13

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.3b
(/ 1 (- t (* a z)))
10.0b
(* (- x (* y z)) (/ 1 (- t (* a z))))

rewrite21.0ms

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
(- x (* y z))
3.0ms
(- t (* a z))
4.0ms
(/ 1 (- t (* a z)))
9.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- x (* y z))
8.0ms
(- t (* a z))
11.0ms
(/ 1 (- t (* a z)))
19.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify43.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0333665
11483585
25002559

prune123.0ms

Filtered
67 candidates to 111 candidates (-65.7%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1092111
Fresh3811
Picked011
Done011
Total11212124

Merged error: 10.4b

Counts
124 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y z))
0.0b
(- t (* a z))
0.6b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
10.3b
(/ (- t (* a z)) (- x (* y z)))

rewrite23.0ms

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:
2.0ms
(- x (* y z))
2.0ms
(- t (* a z))
7.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
6.0ms
(/ (- t (* a z)) (- x (* y z)))

series78.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- x (* y z))
6.0ms
(- t (* a z))
46.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
19.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify57.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
04971435
122451303
250011217

prune129.0ms

Filtered
86 candidates to 152 candidates (-76.7%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1511152
Fresh189
Picked011
Done022
Total15212164

Merged error: 10.4b

Counts
164 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ (- t (* a z)) (cbrt (- x (* y z))))
6.3b
(cbrt (- x (* y z)))
6.3b
(cbrt (- x (* y z)))
6.3b
(cbrt (- x (* y z)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
21×cbrt-prod
18×times-frac
8×cbrt-div
6×add-exp-log associate-/r*
5×flip3-- add-cbrt-cube flip--
4×pow1 add-log-exp
3×pow1/3 associate-/l*
2×associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
4 → 83
Calls
4 calls:
6.0ms
(/ (- t (* a z)) (cbrt (- x (* y z))))
2.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))
2.0ms
(cbrt (- x (* y z)))

series172.0ms

Counts
4 → 12
Calls
4 calls:
76.0ms
(/ (- t (* a z)) (cbrt (- x (* y z))))
34.0ms
(cbrt (- x (* y z)))
31.0ms
(cbrt (- x (* y z)))
31.0ms
(cbrt (- x (* y z)))

simplify129.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0424947
11260913
24986875
35002875

prune110.0ms

Filtered
87 candidates to 95 candidates (-9.2%)
Pruning

13 alts after pruning (9 fresh and 4 done)

PrunedKeptTotal
New94195
Fresh088
Picked011
Done033
Total9413107

Merged error: 10.1b

Counts
107 → 13

regimes634.0ms

Accuracy

0% (0.6b remaining)

Error of 10.7b against oracle of 10.1b and baseline of 10.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

analyze847.0ms

Algorithm
search

sample563.0ms

Algorithm
intervals
Results
298.0ms8000×body80valid
24.0ms674×body80invalid

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