Details

Time bar (total: 2.4s)

sample27.0ms

Algorithm
intervals
Results
10.0ms282×body80valid

simplify94.0ms

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: 9.9b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
9.6b
(/ (- 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))
2.0ms
(- x (* y z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- t (* a z))
6.0ms
(- x (* y z))
18.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify79.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0251407
1852375
23287375
35001375

prune122.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New511465
Fresh000
Picked101
Done000
Total521466

Merged error: 9.5b

Counts
66 → 14

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))))
2.5b
(/ x (- t (* a z)))
9.6b
(/ (* y z) (- t (* a z)))

rewrite26.0ms

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)))
5.0ms
(/ (* y z) (- t (* a z)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- t (* a z))
28.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
12.0ms
(/ x (- t (* a z)))
12.0ms
(/ (* y z) (- t (* a z)))

simplify35.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0332640
11264590
25001590

prune116.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New92496
Fresh9413
Picked101
Done000
Total1028110

Merged error: 5.4b

Counts
110 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
2.5b
(/ x (- t (* a z)))
3.0b
(/ y (/ (- t (* a z)) z))
6.6b
(/ (- 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:
34.0ms
(- (/ 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)

series60.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
10.0ms
(/ x (- t (* a z)))
13.0ms
(/ y (/ (- t (* a z)) z))
7.0ms
(/ (- t (* a z)) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
05751367
122621305
250011302

prune158.0ms

Filtered
130 candidates to 162 candidates (-24.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1602162
Fresh257
Picked101
Done000
Total1637170

Merged error: 2.1b

Counts
170 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
2.5b
(/ x (- t (* a z)))
3.0b
(/ y (- (/ t z) a))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
44×*-un-lft-identity
40×times-frac
23×add-cube-cbrt
14×difference-of-squares
9×associate-/r* distribute-lft-out--
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
1×frac-sub
Counts
4 → 105
Calls
4 calls:
8.0ms
(- (/ t z) a)
24.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
4.0ms
(/ x (- t (* a z)))
8.0ms
(/ y (- (/ t z) a))

series48.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (/ t z) a)
24.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) a)))
10.0ms
(/ x (- t (* a z)))
10.0ms
(/ y (- (/ t z) a))

simplify71.0ms

Algorithm
egg-herbie
Counts
117 → 117
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0368800
11059766
23168765
35002765

prune91.0ms

Filtered
87 candidates to 117 candidates (-34.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1161117
Fresh066
Picked011
Done000
Total1168124

Merged error: 2.1b

Counts
124 → 8

regimes419.0ms

Accuracy

65.4% (0.5b remaining)

Error of 1.8b against oracle of 1.3b and baseline of 2.9b

bsearch37.0ms

Steps
ItersRangePoint
6
8.597175669787834e-150
8.485300749516754e-149
1.2753122640848958e-149
9
-2.573888475181405e-41
-2.11866458665129e-50
-4.830658709974303e-50

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03013
13013

end0.0ms

sample758.0ms

Algorithm
intervals
Results
314.0ms8779×body80valid

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