Details

Time bar (total: 2.8s)

sample31.0ms

Algorithm
intervals
Results
10.0ms269×body80valid

simplify68.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1586
21076
31886
43646
57226
610676
714526
819636
921436
1021456
1121456

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.1b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b
(/ (+ (- t z) 1.0) a)
10.1b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
239×*-un-lft-identity
203×times-frac
136×add-sqr-sqrt
87×add-cube-cbrt
44×distribute-lft-out
43×distribute-lft-out--
23×difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
div-inv
add-log-exp
cbrt-undiv div-exp associate-/l/
pow1 div-sub
flip3-- frac-2neg clear-num flip--
associate-+l- sub-neg flip3-+ diff-log associate-/r/ flip-+ associate--r-
Counts
3 → 192
Calls
3 calls:
32.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
8.0ms
(/ (+ (- t z) 1.0) a)
13.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series65.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
6.0ms
(/ (+ (- t z) 1.0) a)
27.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify71.0ms

Algorithm
egg-herbie
Counts
201 → 201
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
07071950
126291888
250011887

prune229.0ms

Filtered
119 candidates to 201 candidates (-68.9%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1965201
Fresh000
Picked101
Done000
Total1975202

Merged error: 0b

Counts
202 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
0.0b
(/ (- y z) (+ (- t z) 1.0))
1.2b
(* (/ (- y z) (+ (- t z) 1.0)) a)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
54×add-sqr-sqrt
51×times-frac
31×associate-*l*
27×add-cube-cbrt
22×distribute-lft-out distribute-lft-out--
11×difference-of-squares
10×add-exp-log add-cbrt-cube
pow1 associate-/r* associate-/l* add-log-exp
associate-/r/
associate-*r*
cbrt-undiv flip3-- flip3-+ div-exp prod-exp flip-- cbrt-unprod flip-+ div-inv associate-/l/ unswap-sqr
sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 114
Calls
3 calls:
2.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
10.0ms
(/ (- y z) (+ (- t z) 1.0))
17.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

series69.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- x (* (/ (- y z) (+ (- t z) 1.0)) a))
10.0ms
(/ (- y z) (+ (- t z) 1.0))
26.0ms
(* (/ (- y z) (+ (- t z) 1.0)) a)

simplify44.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0436882
11450824
25001823

prune123.0ms

Filtered
77 candidates to 123 candidates (-59.7%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1230123
Fresh044
Picked011
Done000
Total1235128

Merged error: 0b

Counts
128 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
0.0b
(/ (+ (- t z) 1.0) a)
4.7b
(/ y (/ (+ (- t z) 1.0) a))
8.6b
(/ z (/ (+ (- t z) 1.0) a))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
296×*-un-lft-identity
264×times-frac
136×add-sqr-sqrt add-cube-cbrt
64×distribute-lft-out
44×associate-/r*
32×distribute-lft-out--
18×add-exp-log add-cbrt-cube
16×associate-/l*
12×div-inv
cbrt-undiv div-exp
pow1 frac-2neg clear-num associate-/l/ add-log-exp
associate-+l- flip3-+ div-sub associate-/r/ flip-+
Counts
4 → 264
Calls
4 calls:
8.0ms
(/ (+ (- t z) 1.0) a)
10.0ms
(/ (+ (- t z) 1.0) a)
10.0ms
(/ y (/ (+ (- t z) 1.0) a))
10.0ms
(/ z (/ (+ (- t z) 1.0) a))

series60.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (+ (- t z) 1.0) a)
10.0ms
(/ (+ (- t z) 1.0) a)
24.0ms
(/ y (/ (+ (- t z) 1.0) a))
18.0ms
(/ z (/ (+ (- t z) 1.0) a))

simplify85.0ms

Algorithm
egg-herbie
Counts
276 → 276
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
06782182
129922084
250012084

prune299.0ms

Filtered
174 candidates to 276 candidates (-58.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2760276
Fresh033
Picked011
Done011
Total2765281

Merged error: 0b

Counts
281 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
0.0b
(* (- y z) a)
0.0b
(/ 1 (+ (- t z) 1.0))
10.1b
(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
62×*-un-lft-identity
32×add-exp-log
30×times-frac
29×add-sqr-sqrt
26×associate-*l*
25×add-cube-cbrt
20×add-cbrt-cube
14×distribute-lft-out
13×prod-exp
12×pow1
distribute-lft-out--
associate-*l/ cbrt-unprod
div-exp add-log-exp
associate-/r*
flip3-- associate-*r* pow-prod-down associate-/r/ flip--
cbrt-undiv rec-exp 1-exp associate-/l*
frac-times flip3-+ associate-*r/ *-commutative flip-+ div-inv
sub-neg pow-flip frac-2neg diff-log clear-num inv-pow difference-of-squares unswap-sqr
Counts
4 → 124
Calls
4 calls:
3.0ms
(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
6.0ms
(* (- y z) a)
8.0ms
(/ 1 (+ (- t z) 1.0))
15.0ms
(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

series73.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- x (* (/ 1 (+ (- t z) 1.0)) (* (- y z) a)))
9.0ms
(* (- y z) a)
5.0ms
(/ 1 (+ (- t z) 1.0))
25.0ms
(* (/ 1 (+ (- t z) 1.0)) (* (- y z) a))

simplify65.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0541886
12684768
25001735

prune111.0ms

Filtered
78 candidates to 136 candidates (-74.4%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1360136
Fresh022
Picked011
Done022
Total1365141

Merged error: 0b

Counts
141 → 5

regimes417.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1146

end0.0ms

sample753.0ms

Algorithm
intervals
Results
315.0ms8500×body80valid
0.0msbody640valid
0.0msbody320valid
0.0msbody160valid

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