Details

Time bar (total: 4.3s)

sample23.0ms

Algorithm
intervals
Results
9.0ms334×body80valid

simplify45.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1264
2464
3854
41274
51484
61654
72154
83034
93894
106024
117124
127914
137914

prune3.0ms

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: 6.1b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-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×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 61
Calls
3 calls:
6.0ms
(* y (- z t))
4.0ms
(+ x (/ (* y (- z t)) a))
7.0ms
(/ (* y (- z t)) a)

series135.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* y (- z t))
47.0ms
(+ x (/ (* y (- z t)) a))
51.0ms
(/ (* y (- z t)) a)

simplify39.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0297325
11236280
25001280

prune138.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New65570
Fresh000
Picked011
Done000
Total65671

Merged error: 0.0b

Counts
71 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
5.1b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite50.0ms

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:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
2.0ms
(cbrt a)
35.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series619.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(cbrt a)
171.0ms
(cbrt a)
168.0ms
(cbrt a)
108.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify62.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0480918
12615741
25001706

prune328.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh044
Picked011
Done011
Total1166122

Merged error: 0.0b

Counts
122 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- z t))
0.0b
(+ x (/ y (/ a (- z t))))
6.5b
(/ y (/ a (- z t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
5.0ms
(/ a (- z t))
22.0ms
(+ x (/ y (/ a (- z t))))
8.0ms
(/ y (/ a (- z t)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ a (- z t))
49.0ms
(+ x (/ y (/ a (- z t))))
50.0ms
(/ y (/ a (- z t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05471150
123841110
250021107

prune367.0ms

Filtered
160 candidates to 119 candidates (74.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1573160
Fresh213
Picked011
Done112
Total1606166

Merged error: 0b

Counts
166 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- z t))
0.0b
(+ x (/ (/ y a) (/ 1 (- z t))))
6.2b
(/ (/ y a) (/ 1 (- z t)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
696×times-frac
387×*-un-lft-identity
385×add-sqr-sqrt
293×add-cube-cbrt
46×distribute-lft-out-- difference-of-squares
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×associate-/l*
15×flip3-- flip--
9×cbrt-undiv
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ distribute-lft-out inv-pow
Counts
3 → 384
Calls
3 calls:
5.0ms
(/ 1 (- z t))
60.0ms
(+ x (/ (/ y a) (/ 1 (- z t))))
15.0ms
(/ (/ y a) (/ 1 (- z t)))

series139.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(/ 1 (- z t))
53.0ms
(+ x (/ (/ y a) (/ 1 (- z t))))
52.0ms
(/ (/ y a) (/ 1 (- z t)))

simplify84.0ms

Algorithm
egg-herbie
Counts
393 → 393
Iterations

Useful iterations: 1 (36.0ms)

IterNodesCost
017114274
150013890

prune773.0ms

Filtered
393 candidates to 217 candidates (55.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New3921393
Fresh123
Picked011
Done022
Total3936399

Merged error: 0b

Counts
399 → 6

regimes434.0ms

Accuracy

0% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0145
1145

end0.0ms

sample637.0ms

Algorithm
intervals
Results
310.0ms10665×body80valid