Details

Time bar (total: 2.5s)

sample30.0ms

Algorithm
intervals
Results
10.0ms289×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

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.6b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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

series25.0ms

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

simplify79.0ms

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0230349
1806322
23213322
35001322

prune111.0ms

Filtered
50 candidates to 39 candidates (22.0%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New371350
Fresh000
Picked101
Done000
Total381351

Merged error: 10.3b

Counts
51 → 13

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
3.0b
(/ x (- t (* a z)))
10.2b
(/ (* y z) (- t (* a z)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
15×*-un-lft-identity
13×add-cube-cbrt times-frac
10×add-exp-log add-cbrt-cube
8×associate-/r/
6×associate-/r*
5×flip3-- flip-- add-log-exp
4×div-inv associate-/l*
3×pow1 cbrt-undiv distribute-rgt-out-- div-exp
2×frac-2neg clear-num difference-of-squares
1×sub-neg diff-log prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
3 → 72
Calls
3 calls:
12.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (* y z) (- t (* a z)))

series53.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
12.0ms
(/ x (- t (* a z)))
12.0ms
(/ (* y z) (- t (* a z)))

simplify34.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0311582
11216537
25001537

prune110.0ms

Filtered
81 candidates to 61 candidates (24.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New78381
Fresh6612
Picked101
Done000
Total85994

Merged error: 6.6b

Counts
94 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
2.9b
(* y (/ z (- t (* a z))))
3.0b
(/ x (- t (* a z)))
7.9b
(/ z (- t (* a z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
15×associate-*r*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv associate-*r/ div-exp associate-*l* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 106
Calls
4 calls:
7.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
8.0ms
(* y (/ z (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
4.0ms
(/ z (- t (* a z)))

series64.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
12.0ms
(* y (/ z (- t (* a z))))
12.0ms
(/ x (- t (* a z)))
10.0ms
(/ z (- t (* a z)))

simplify46.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0369752
11533693
25001693

prune127.0ms

Filtered
118 candidates to 89 candidates (24.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1180118
Fresh088
Picked011
Done000
Total1189127

Merged error: 6.6b

Counts
127 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
3.0b
(/ x (- t (* a z)))
3.3b
(/ y (/ (- t (* a z)) z))
7.8b
(/ (- t (* a z)) z)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
104×times-frac
83×add-sqr-sqrt
68×*-un-lft-identity
62×add-cube-cbrt
19×associate-/r*
13×add-exp-log add-cbrt-cube
9×associate-/l*
7×div-inv
6×add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×pow1
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×associate-/l/ distribute-lft-out--
1×sub-neg diff-log div-sub frac-sub
Counts
4 → 150
Calls
4 calls:
31.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ y (/ (- t (* a z)) z))
7.0ms
(/ (- t (* a z)) z)

series62.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
10.0ms
(/ x (- t (* a z)))
15.0ms
(/ y (/ (- t (* a z)) z))
7.0ms
(/ (- t (* a z)) z)

simplify63.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05751367
122621305
250011302

prune136.0ms

Filtered
162 candidates to 129 candidates (20.4%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1602162
Fresh257
Picked101
Done011
Total1638171

Merged error: 1.1b

Counts
171 → 8

regimes510.0ms

Accuracy

0% (1.5b remaining)

Error of 3.1b against oracle of 1.5b and baseline of 3.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0137
1137

end0.0ms

sample800.0ms

Algorithm
intervals
Results
337.0ms8746×body80valid

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