Details

Time bar (total: 2.8s)

sample22.0ms

Algorithm
intervals
Results
10.0ms277×body80valid

simplify89.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
746175
850025

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: 10.7b

Counts
2 → 1

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
3×add-exp-log associate-/r* add-cbrt-cube associate-/l*
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 32
Calls
1 calls:
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify72.0ms

Algorithm
egg-herbie
Counts
35 → 35
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0198291
1705269
22758269
35002269

prune110.0ms

Filtered
35 candidates to 28 candidates (80.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New26935
Fresh000
Picked101
Done000
Total27936

Merged error: 10.3b

Counts
36 → 9

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
3.5b
(/ x (- t (* a z)))
10.5b
(/ (* y z) (- t (* a z)))

rewrite28.0ms

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:
16.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (* y z) (- t (* a z)))

series165.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
37.0ms
(/ x (- t (* a z)))
41.0ms
(/ (* y z) (- t (* a z)))

simplify39.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0311582
11216537
25001537

prune187.0ms

Filtered
81 candidates to 61 candidates (75.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New76581
Fresh358
Picked101
Done000
Total801090

Merged error: 6.4b

Counts
90 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
3.5b
(/ x (- t (* a z)))
3.6b
(* y (/ z (- t (* a z))))
9.1b
(/ z (- t (* a z)))

rewrite27.0ms

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:
8.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
4.0ms
(/ x (- t (* a z)))
8.0ms
(* y (/ z (- t (* a z))))
4.0ms
(/ z (- t (* a z)))

series219.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
36.0ms
(/ x (- t (* a z)))
40.0ms
(* y (/ z (- t (* a z))))
57.0ms
(/ z (- t (* a z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0369752
11533693
25001693

prune236.0ms

Filtered
118 candidates to 88 candidates (74.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1171118
Fresh099
Picked011
Done000
Total11711128

Merged error: 6.4b

Counts
128 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
3.5b
(/ x (- t (* a z)))
3.5b
(/ y (/ (- t (* a z)) z))
9.1b
(/ (- t (* a z)) z)

rewrite55.0ms

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:
35.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ y (/ (- t (* a z)) z))
5.0ms
(/ (- t (* a z)) z)

series196.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
34.0ms
(/ x (- t (* a z)))
45.0ms
(/ y (/ (- t (* a z)) z))
31.0ms
(/ (- t (* a z)) z)

simplify62.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
05751367
122621305
250011302

prune339.0ms

Filtered
162 candidates to 129 candidates (79.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1584162
Fresh459
Picked101
Done101
Total1649173

Merged error: 1.4b

Counts
173 → 9

regimes185.0ms

Accuracy

31% (1.0b remaining)

Error of 2.5b against oracle of 1.5b and baseline of 3.0b

bsearch74.0ms

Steps
ItersRangePoint
7
-4.579290241811852e-278
-1.3304283303394647e-279
-1.3859167470347906e-278
6
-5.274772109125983e-68
-4.5101976729466975e-69
-1.1332224400313842e-68

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03429
13429

end0.0ms

sample590.0ms

Algorithm
intervals
Results
334.0ms8707×body80valid

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