Details

Time bar (total: 3.3s)

sample16.0ms

Algorithm
intervals
Results
6.0ms266×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1173
2173

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.0b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* 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 → 41
Calls
2 calls:
3.0ms
(- y (* z t))
4.0ms
(/ x (- y (* z t)))

series65.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- y (* z t))
33.0ms
(/ x (- y (* z t)))

simplify111.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 3 (38.0ms)

IterNodesCost
0157244
1479225
21401225
34323224
45001224

prune104.0ms

Filtered
47 candidates to 37 candidates (78.7%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New39847
Fresh000
Picked011
Done000
Total39948

Merged error: 2.9b

Counts
48 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- y (* z t))
0.6b
(/ 1 (- y (* z t)))
2.6b
(* x (/ 1 (- y (* z t))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×add-log-exp
4×div-exp prod-exp associate-/r/
3×flip3-- associate-*l* associate-/r* flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 83
Calls
3 calls:
3.0ms
(- y (* z t))
4.0ms
(/ 1 (- y (* z t)))
9.0ms
(* x (/ 1 (- y (* z t))))

series109.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(- y (* z t))
47.0ms
(/ 1 (- y (* z t)))
34.0ms
(* x (/ 1 (- y (* z t))))

simplify72.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0264479
11071416
23863386
35001386

prune127.0ms

Filtered
92 candidates to 52 candidates (56.5%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New90292
Fresh257
Picked011
Done011
Total929101

Merged error: 2.9b

Counts
101 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
2.1b
(/ (cbrt x) (- y (* z t)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
38×times-frac
34×add-cube-cbrt *-un-lft-identity
28×cbrt-prod
24×associate-*r*
18×add-exp-log
11×add-cbrt-cube
9×pow1
6×prod-exp cbrt-unprod associate-/l*
4×associate-/r/ add-log-exp
3×cbrt-undiv div-exp pow-prod-down associate-/r* unswap-sqr
2×flip3-- pow1/3 flip-- div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 110
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
16.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
5.0ms
(/ (cbrt x) (- y (* z t)))

series615.0ms

Counts
4 → 12
Calls
4 calls:
199.0ms
(cbrt x)
192.0ms
(cbrt x)
73.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- y (* z t))))
152.0ms
(/ (cbrt x) (- y (* z t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0380929
11986793
25001764

prune281.0ms

Filtered
122 candidates to 97 candidates (79.5%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1211122
Fresh066
Picked011
Done022
Total12110131

Merged error: 2.9b

Counts
131 → 10

localize11.0ms

Local error

Found 4 expressions with local error:

2.6b
(* x (* (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))) (cbrt (/ 1 (- y (* z t))))))
8.7b
(cbrt (/ 1 (- y (* z t))))
8.7b
(cbrt (/ 1 (- y (* z t))))
8.7b
(cbrt (/ 1 (- y (* z t))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
27×times-frac
26×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
15×cbrt-div
13×pow1 add-exp-log
10×associate-*r/
9×add-cbrt-cube
6×pow-prod-down prod-exp associate-/r/ cbrt-unprod
5×frac-times associate-*l/
4×add-log-exp
3×flip3-- pow1/3 associate-*l* flip-- div-inv
1×associate-*r* *-commutative
Counts
4 → 100
Calls
4 calls:
21.0ms
(* x (* (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))) (cbrt (/ 1 (- y (* z t))))))
4.0ms
(cbrt (/ 1 (- y (* z t))))
4.0ms
(cbrt (/ 1 (- y (* z t))))
4.0ms
(cbrt (/ 1 (- y (* z t))))

series408.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* x (* (* (cbrt (/ 1 (- y (* z t)))) (cbrt (/ 1 (- y (* z t))))) (cbrt (/ 1 (- y (* z t))))))
115.0ms
(cbrt (/ 1 (- y (* z t))))
114.0ms
(cbrt (/ 1 (- y (* z t))))
119.0ms
(cbrt (/ 1 (- y (* z t))))

simplify121.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
03561245
110771114
24620993
35001961

prune256.0ms

Filtered
112 candidates to 80 candidates (71.4%)
Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New1111112
Fresh066
Picked011
Done033
Total11111122

Merged error: 2.9b

Counts
122 → 11

regimes429.0ms

Accuracy

0% (0.1b remaining)

Error of 2.6b against oracle of 2.5b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample407.0ms

Algorithm
intervals
Results
194.0ms8383×body80valid