Details

Time bar (total: 2.4s)

sample32.0ms

Algorithm
intervals
Results
14.0ms278×body80valid

simplify95.0ms

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: 10.8b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
10.6b
(/ (- x (* y z)) (- t (* a z)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
2.0ms
(- t (* a z))
5.0ms
(/ (- x (* y z)) (- t (* a z)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(- t (* a z))
19.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify68.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0220349
1753322
22823322
35001322

prune89.0ms

Filtered
39 candidates to 50 candidates (-28.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New41950
Fresh000
Picked011
Done000
Total411051

Merged error: 10.5b

Counts
51 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.2b
(/ 1 (- t (* a z)))
10.6b
(* (- x (* y z)) (/ 1 (- t (* a z))))

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
6×pow1
5×flip3-- flip-- add-log-exp
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 87
Calls
3 calls:
2.0ms
(- t (* a z))
4.0ms
(/ 1 (- t (* a z)))
9.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

series37.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- t (* a z))
10.0ms
(/ 1 (- t (* a z)))
21.0ms
(* (- x (* y z)) (/ 1 (- t (* a z))))

simplify42.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0321607
11475532
25001506

prune104.0ms

Filtered
57 candidates to 96 candidates (-68.4%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New93396
Fresh358
Picked011
Done011
Total9610106

Merged error: 10.5b

Counts
106 → 10

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.7b
(/ 1 (/ (- t (* a z)) (- x (* y z))))
10.4b
(/ (- t (* a z)) (- x (* y z)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
7×flip3-- flip--
6×div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num associate-/l/
1×sub-neg pow-flip diff-log div-sub inv-pow
Counts
3 → 128
Calls
3 calls:
2.0ms
(- t (* a z))
7.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
6.0ms
(/ (- t (* a z)) (- x (* y z)))

series73.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- t (* a z))
47.0ms
(/ 1 (/ (- t (* a z)) (- x (* y z))))
20.0ms
(/ (- t (* a z)) (- x (* y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
04851377
122281250
250011164

prune110.0ms

Filtered
76 candidates to 137 candidates (-80.3%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1370137
Fresh077
Picked011
Done022
Total13710147

Merged error: 10.5b

Counts
147 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

5.4b
(/ (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (- t (* a z)) (cbrt (- x (* y z)))))
6.7b
(cbrt (- x (* y z)))
6.7b
(cbrt (- x (* y z)))
6.7b
(cbrt (- x (* y z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
60×times-frac
33×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
27×cbrt-prod
24×associate-/r*
22×cbrt-div
16×add-exp-log
11×flip3-- flip--
10×add-cbrt-cube
8×associate-/l/
6×cbrt-undiv div-exp
5×associate-/r/
4×pow1 frac-times add-log-exp
3×pow1/3 div-inv
2×associate-*r/ associate-*l/ prod-exp cbrt-unprod
1×frac-2neg clear-num associate-/l*
Counts
4 → 115
Calls
4 calls:
14.0ms
(/ (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (- 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)))

series119.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ (* (cbrt (- x (* y z))) (cbrt (- x (* y z)))) (/ (- t (* a z)) (cbrt (- x (* y z)))))
30.0ms
(cbrt (- x (* y z)))
30.0ms
(cbrt (- x (* y z)))
33.0ms
(cbrt (- x (* y z)))

simplify64.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05681839
123971719
250021645

prune122.0ms

Filtered
109 candidates to 127 candidates (-16.5%)
Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New1270127
Fresh066
Picked011
Done033
Total12710137

Merged error: 10.5b

Counts
137 → 10

regimes505.0ms

Accuracy

0% (0.3b remaining)

Error of 10.5b against oracle of 10.3b and baseline of 10.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125
1125

end0.0ms

sample733.0ms

Algorithm
intervals
Results
299.0ms8735×body80valid

Profiling

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