Details

Time bar (total: 4.8s)

analyze834.0ms

Algorithm
search

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms82×body80invalid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
7.0b
(/ (* y (- z t)) a)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
4.0ms
(- x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series37.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- x (/ (* y (- z t)) a))
7.0ms
(* y (- z t))
15.0ms
(/ (* y (- z t)) a)

simplify37.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0291345
11204306
25001306

prune95.0ms

Filtered
47 candidates to 72 candidates (-53.2%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New65772
Fresh000
Picked011
Done000
Total65873

Merged error: 0b

Counts
73 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
0.5b
(cbrt a)
5.3b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
40×times-frac
38×*-un-lft-identity
34×associate-*r*
26×cbrt-prod add-cube-cbrt
25×add-exp-log
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 distribute-lft-out-- difference-of-squares unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
19.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt a)
21.0ms
(cbrt a)
24.0ms
(cbrt a)
17.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0500954
12500845
25001783

prune114.0ms

Filtered
84 candidates to 116 candidates (-38.1%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh066
Picked011
Done011
Total1168124

Merged error: 0b

Counts
124 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
0.0b
(/ a (- z t))
6.4b
(/ y (/ a (- z t)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
21.0ms
(- x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
8.0ms
(/ y (/ a (- z t)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- x (/ y (/ a (- z t))))
7.0ms
(/ a (- z t))
12.0ms
(/ y (/ a (- z t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
05511200
123711160
250031157

prune151.0ms

Filtered
122 candidates to 164 candidates (-34.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1622164
Fresh325
Picked011
Done112
Total1666172

Merged error: 0b

Counts
172 → 6

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (/ y a) (/ 1 (- z t))))
0.0b
(/ 1 (- z t))
7.5b
(/ (/ y a) (/ 1 (- z t)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
709×times-frac
410×add-sqr-sqrt
389×*-un-lft-identity
293×add-cube-cbrt
53×difference-of-squares
47×distribute-lft-out--
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×flip3-- flip-- associate-/l*
9×cbrt-undiv
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 392
Calls
3 calls:
66.0ms
(- x (/ (/ y a) (/ 1 (- z t))))
8.0ms
(/ 1 (- z t))
27.0ms
(/ (/ y a) (/ 1 (- z t)))

series31.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(- x (/ (/ y a) (/ 1 (- z t))))
4.0ms
(/ 1 (- z t))
12.0ms
(/ (/ y a) (/ 1 (- z t)))

simplify81.0ms

Algorithm
egg-herbie
Counts
401 → 401
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
017354400
150014015

prune302.0ms

Filtered
220 candidates to 401 candidates (-82.3%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New4010401
Fresh033
Picked011
Done022
Total4016407

Merged error: 0b

Counts
407 → 6

regimes988.0ms

Accuracy

84.9% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02316
12316

end0.0ms

analyze856.0ms

Algorithm
search

sample678.0ms

Algorithm
intervals
Results
278.0ms8000×body80valid
83.0ms2510×body80invalid

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