Details

Time bar (total: 3.3s)

sample24.0ms

Algorithm
intervals
Results
11.0ms327×body80valid

simplify41.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (* y (- z t)) a))
7.2b
(/ (* y (- z t)) a)

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×times-frac associate-/r*
2×pow1 cbrt-undiv associate-*r/ div-exp associate-/l/
1×+-commutative flip3-- frac-2neg flip3-+ prod-exp clear-num sum-log flip-- cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 35
Calls
2 calls:
4.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(/ (* y (- z t)) a)

series92.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(+ x (/ (* y (- z t)) a))
48.0ms
(/ (* y (- z t)) a)

simplify93.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0233227
1865204
24237192
35001192

prune90.0ms

Filtered
41 candidates to 28 candidates (68.3%)
Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
4.4b
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

rewrite43.0ms

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:
0.0ms
(cbrt a)
0.0ms
(cbrt a)
1.0ms
(cbrt a)
37.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

series632.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt a)
178.0ms
(cbrt a)
180.0ms
(cbrt a)
93.0ms
(* (/ y (* (cbrt a) (cbrt a))) (/ (- z t) (cbrt a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0480918
12615741
25001706

prune324.0ms

Filtered
116 candidates to 88 candidates (75.9%)
Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ a (- z t))
0.0b
(+ x (/ y (/ a (- z t))))
7.1b
(/ y (/ a (- z t)))

rewrite54.0ms

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))
33.0ms
(+ x (/ y (/ a (- z t))))
10.0ms
(/ y (/ a (- z t)))

series125.0ms

Counts
3 → 9
Calls
3 calls:
26.0ms
(/ a (- z t))
49.0ms
(+ x (/ y (/ a (- z t))))
50.0ms
(/ y (/ a (- z t)))

simplify58.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
05471150
123841110
250021107

prune388.0ms

Filtered
160 candidates to 119 candidates (74.4%)
Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
6.7b
(* (/ y a) (- z t))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
3.0ms
(+ x (* (/ y a) (- z t)))
15.0ms
(* (/ y a) (- z t))

series97.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ x (* (/ y a) (- z t)))
53.0ms
(* (/ y a) (- z t))

simplify34.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323335
11236299
25001299

prune119.0ms

Filtered
63 candidates to 41 candidates (65.1%)
Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes328.0ms

Accuracy

85.5% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.3b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02512
12512

end0.0ms

sample609.0ms

Algorithm
intervals
Results
304.0ms10568×body80valid