Details

Time bar (total: 3.0s)

sample21.0ms

Algorithm
intervals
Results
9.0ms279×body80valid

simplify97.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0195
1385
2525
3805
41085
51575
65895
744765
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: 10.9b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
10.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite12.0ms

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))
3.0ms
(- x (* y z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series114.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(- t (* a z))
27.0ms
(- x (* y z))
55.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify82.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23287375
35001375

prune157.0ms

Filtered
65 candidates to 50 candidates (76.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New531265
Fresh000
Picked101
Done000
Total541266

Merged error: 10.6b

Counts
66 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
3.4b
(/ x (- t (* a z)))
10.5b
(/ (* y z) (- t (* a z)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×add-exp-log add-cbrt-cube
8×associate-/r/ add-log-exp
6×flip3-- associate-/r* flip--
4×pow1 div-inv associate-/l*
3×cbrt-undiv distribute-rgt-out-- div-exp
2×sub-neg frac-2neg diff-log clear-num difference-of-squares
1×prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
4 → 84
Calls
4 calls:
3.0ms
(- t (* a z))
13.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (* y z) (- t (* a z)))

series196.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- t (* a z))
88.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
35.0ms
(/ x (- t (* a z)))
43.0ms
(/ (* y z) (- t (* a z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0332640
11264590
25001590

prune200.0ms

Filtered
96 candidates to 72 candidates (75.0%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New90696
Fresh7411
Picked101
Done000
Total9810108

Merged error: 7.9b

Counts
108 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
3.2b
(* y (/ z (- t (* a z))))
3.4b
(/ x (- t (* a z)))
8.8b
(/ 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:
7.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
8.0ms
(* y (/ z (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ z (- t (* a z)))

series227.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
45.0ms
(* y (/ z (- t (* a z))))
34.0ms
(/ x (- t (* a z)))
57.0ms
(/ z (- t (* a z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0369752
11533693
25001693

prune244.0ms

Filtered
118 candidates to 88 candidates (74.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1171118
Fresh189
Picked011
Done000
Total11810128

Merged error: 7.9b

Counts
128 → 10

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
3.2b
(/ y (/ (- t (* a z)) z))
3.4b
(/ x (- t (* a z)))
8.8b
(/ (- t (* a z)) z)

rewrite57.0ms

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)))
7.0ms
(/ y (/ (- t (* a z)) z))
4.0ms
(/ x (- t (* a z)))
5.0ms
(/ (- t (* a z)) z)

series200.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
41.0ms
(/ y (/ (- t (* a z)) z))
38.0ms
(/ x (- t (* a z)))
31.0ms
(/ (- t (* a z)) z)

simplify67.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
05751367
122661305
250011302

prune337.0ms

Filtered
162 candidates to 129 candidates (79.6%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1611162
Fresh268
Picked101
Done011
Total1648172

Merged error: 1.8b

Counts
172 → 8

regimes179.0ms

Accuracy

82.8% (0.2b remaining)

Error of 1.5b against oracle of 1.3b and baseline of 2.7b

bsearch87.0ms

Steps
ItersRangePoint
8
5.527790448685561e-56
9.852024607456012e-53
3.807999837683113e-55
9
-2.1758053120064365e-76
-1.0540051935946534e-82
-2.437018643724342e-80

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03113
13113

end0.0ms

sample560.0ms

Algorithm
intervals
Results
308.0ms8729×body80valid

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