Details

Time bar (total: 4.3s)

sample16.0ms

Algorithm
intervals
Results
6.0ms267×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0103
1173
2173

prune2.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 2.9b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(- y (* z t))
2.9b
(/ x (- y (* z t)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
34×*-un-lft-identity
21×times-frac
14×add-cube-cbrt
10×distribute-lft-out-- difference-of-squares
7×associate-/r*
5×associate-*l* unswap-sqr
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 61
Calls
2 calls:
6.0ms
(- y (* z t))
8.0ms
(/ x (- y (* z t)))

series68.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(- y (* z t))
38.0ms
(/ x (- y (* z t)))

simplify120.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0186385
1519366
21447366
34421365
45002365

prune101.0ms

Filtered
67 candidates to 48 candidates (28.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New61667
Fresh000
Picked011
Done000
Total61768

Merged error: 2.8b

Counts
68 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.3b
(/ 1 (- y (* z t)))
2.8b
(* x (/ 1 (- y (* z t))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
81×add-sqr-sqrt
67×*-un-lft-identity
44×times-frac
29×add-cube-cbrt
27×associate-*r*
18×distribute-lft-out-- difference-of-squares
16×add-exp-log
14×associate-/r*
13×associate-*r/
12×associate-*l* unswap-sqr
10×add-cbrt-cube
7×associate-/l*
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- clear-num un-div-inv flip--
2×cbrt-undiv rec-exp frac-2neg 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip diff-log pow-prod-down *-commutative inv-pow
Counts
3 → 129
Calls
3 calls:
6.0ms
(- y (* z t))
9.0ms
(/ 1 (- y (* z t)))
17.0ms
(* x (/ 1 (- y (* z t))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
30.0ms
(- y (* z t))
50.0ms
(/ 1 (- y (* z t)))
34.0ms
(* x (/ 1 (- y (* z t))))

simplify82.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0316707
11248626
24400560
35002560

prune155.0ms

Filtered
138 candidates to 74 candidates (46.4%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1371138
Fresh145
Picked011
Done011
Total1387145

Merged error: 2.8b

Counts
145 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
1.3b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
1.8b
(/ (cbrt x) (- y (* z t)))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
224×add-sqr-sqrt
119×*-un-lft-identity
102×times-frac
97×cbrt-prod
62×add-cube-cbrt
57×unswap-sqr
54×associate-*r*
47×associate-*l*
42×add-cbrt-cube
28×distribute-lft-out-- difference-of-squares
27×cbrt-unprod
18×add-exp-log
16×associate-*r/
14×associate-/r*
13×associate-/l*
12×cbrt-undiv swap-sqr
9×pow1
6×prod-exp
5×*-commutative
4×associate-/r/ add-log-exp
3×div-exp pow-prod-down clear-num
2×flip3-- frac-2neg pow1/3 un-div-inv flip-- div-inv
Counts
4 → 241
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
44.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
9.0ms
(/ (cbrt x) (- y (* z t)))

series545.0ms

Counts
4 → 12
Calls
4 calls:
182.0ms
(cbrt x)
186.0ms
(cbrt x)
58.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
119.0ms
(/ (cbrt x) (- y (* z t)))

simplify111.0ms

Algorithm
egg-herbie
Counts
253 → 253
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
07362451
139332039
250011965

prune421.0ms

Filtered
253 candidates to 164 candidates (35.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New2530253
Fresh044
Picked011
Done022
Total2537260

Merged error: 2.8b

Counts
260 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

2.8b
(* x (/ 1 (* (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))) (cbrt (- y (* z t))))))
6.9b
(cbrt (- y (* z t)))
6.9b
(cbrt (- y (* z t)))
6.9b
(cbrt (- y (* z t)))

rewrite182.0ms

Algorithm
rewrite-expression-head
Rules
608×add-sqr-sqrt
351×cbrt-prod
344×associate-*r*
328×*-un-lft-identity
272×times-frac
262×associate-*l*
234×unswap-sqr
136×add-cube-cbrt
92×associate-*r/
88×swap-sqr
78×associate-/r* distribute-lft-out--
60×cbrt-div
46×difference-of-squares
44×add-cbrt-cube
36×add-exp-log
30×flip3-- flip-- cbrt-unprod
28×frac-times
26×associate-/r/
21×*-commutative
19×prod-exp
14×associate-*l/
11×cbrt-undiv
6×pow1 div-exp
4×associate-/l* add-log-exp
3×rec-exp pow1/3 1-exp un-div-inv
2×clear-num
1×frac-2neg pow-prod-down div-inv
Counts
4 → 475
Calls
4 calls:
117.0ms
(* x (/ 1 (* (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))) (cbrt (- y (* z t))))))
6.0ms
(cbrt (- y (* z t)))
6.0ms
(cbrt (- y (* z t)))
6.0ms
(cbrt (- y (* z t)))

series441.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(* x (/ 1 (* (* (cbrt (- y (* z t))) (cbrt (- y (* z t)))) (cbrt (- y (* z t))))))
125.0ms
(cbrt (- y (* z t)))
121.0ms
(cbrt (- y (* z t)))
121.0ms
(cbrt (- y (* z t)))

simplify90.0ms

Algorithm
egg-herbie
Counts
487 → 487
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
017245924
150015327

prune1.1s

Filtered
487 candidates to 294 candidates (39.6%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New4870487
Fresh033
Picked011
Done033
Total4877494

Merged error: 2.8b

Counts
494 → 7

regimes173.0ms

Accuracy

0% (0.1b remaining)

Error of 3.0b against oracle of 2.9b and baseline of 3.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample409.0ms

Algorithm
intervals
Results
198.0ms8357×body80valid