Details

Time bar (total: 6.2s)

analyze1.1s

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms19×body80invalid

simplify98.0ms

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: 9.0b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
8.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite13.0ms

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

series33.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- t (* a z))
7.0ms
(- x (* y z))
20.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify83.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0251407
1852375
23287375
35001375

prune120.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New531265
Fresh000
Picked101
Done000
Total541266

Merged error: 8.7b

Counts
66 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
1.2b
(/ x (- t (* a z)))
8.9b
(/ (* y z) (- t (* a z)))

rewrite29.0ms

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:
2.0ms
(- t (* a z))
12.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
4.0ms
(/ x (- t (* a z)))
6.0ms
(/ (* y z) (- t (* a z)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- t (* a z))
29.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
11.0ms
(/ x (- t (* a z)))
13.0ms
(/ (* y z) (- t (* a z)))

simplify37.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0332640
11264590
25001590

prune133.0ms

Filtered
72 candidates to 96 candidates (-33.3%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New90696
Fresh6511
Picked101
Done000
Total9711108

Merged error: 4.7b

Counts
108 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
1.2b
(/ x (- t (* a z)))
2.8b
(* y (/ z (- t (* a z))))
6.9b
(/ 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)))))
4.0ms
(/ x (- t (* a z)))
8.0ms
(* y (/ z (- t (* a z))))
4.0ms
(/ z (- t (* a z)))

series66.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
11.0ms
(/ x (- t (* a z)))
13.0ms
(* y (/ z (- t (* a z))))
11.0ms
(/ z (- t (* a z)))

simplify44.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0369752
11533693
25002693

prune141.0ms

Filtered
88 candidates to 118 candidates (-34.1%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1162118
Fresh2810
Picked011
Done000
Total11811129

Merged error: 4.7b

Counts
129 → 11

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
1.2b
(/ x (- t (* a z)))
2.9b
(/ y (/ (- t (* a z)) z))
6.8b
(/ (- 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:
33.0ms
(- (/ 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)

series66.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
14.0ms
(/ x (- t (* a z)))
14.0ms
(/ y (/ (- t (* a z)) z))
8.0ms
(/ (- t (* a z)) z)

simplify60.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
05751367
122621305
250011302

prune136.0ms

Filtered
129 candidates to 162 candidates (-25.6%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New1602162
Fresh189
Picked101
Done011
Total16211173

Merged error: 0.7b

Counts
173 → 11

regimes638.0ms

Accuracy

78.6% (0.3b remaining)

Error of 1.7b against oracle of 1.3b and baseline of 2.9b

bsearch1.7s

Steps
ItersRangePoint
9
4.450981529963842e-46
4.81738771944473e-41
1.1194583720405973e-45
9
-1.0999524198663137e+61
-5.746115841482472e+54
-5.8084827152474746e+54

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03113
13113

end0.0ms

analyze876.0ms

Algorithm
search

sample613.0ms

Algorithm
intervals
Results
322.0ms8000×body80valid
28.0ms739×body80invalid

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