Details

Time bar (total: 3.2s)

sample23.0ms

Algorithm
intervals
Results
9.0ms344×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

prune5.0ms

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: 4.2b

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))
6.5b
(/ (* y (- z t)) a)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
44×*-un-lft-identity
42×times-frac
32×add-cube-cbrt
25×associate-*r*
15×associate-*l*
14×associate-/l*
10×add-exp-log add-cbrt-cube
5×pow1 *-commutative distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
4×associate-*r/
3×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 flip-+ div-inv distribute-lft-out
Counts
3 → 113
Calls
3 calls:
14.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
10.0ms
(/ (* y (- z t)) a)

series144.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(+ x (/ (* y (- z t)) a))
37.0ms
(* y (- z t))
53.0ms
(/ (* y (- z t)) a)

simplify54.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0456693
11843648
25002648

prune191.0ms

Filtered
122 candidates to 84 candidates (68.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1148122
Fresh000
Picked101
Done000
Total1158123

Merged error: 0b

Counts
123 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- z t) (/ a y)))
5.9b
(/ (- z t) (/ a y))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
90×*-un-lft-identity
88×add-sqr-sqrt
60×add-cube-cbrt
16×associate-/r*
14×distribute-lft-out-- difference-of-squares
9×associate-/r/
8×associate-/l*
7×add-exp-log add-cbrt-cube div-inv
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 frac-2neg div-sub clear-num associate-/l/
1×+-commutative associate-+r- flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
Counts
2 → 122
Calls
2 calls:
20.0ms
(+ x (/ (- z t) (/ a y)))
9.0ms
(/ (- z t) (/ a y))

series95.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ x (/ (- z t) (/ a y)))
48.0ms
(/ (- z t) (/ a y))

simplify66.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0629978
12395939
25001938

prune216.0ms

Filtered
128 candidates to 90 candidates (70.3%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1244128
Fresh437
Picked101
Done000
Total1297136

Merged error: 0b

Counts
136 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- z t) (/ y a)))
5.9b
(* (- z t) (/ y a))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
23×add-sqr-sqrt
18×frac-times
16×add-cube-cbrt
13×associate-*r*
10×flip3-- times-frac flip-- associate-/l*
9×associate-*r/ associate-/r*
7×add-exp-log associate-*l* add-cbrt-cube
4×pow1 clear-num add-log-exp
3×frac-2neg distribute-lft-out
2×associate-*l/ prod-exp un-div-inv cbrt-unprod distribute-lft-out-- unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv difference-of-squares
Counts
2 → 78
Calls
2 calls:
12.0ms
(+ x (* (- z t) (/ y a)))
11.0ms
(* (- z t) (/ y a))

series98.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ x (* (- z t) (/ y a)))
49.0ms
(* (- z t) (/ y a))

simplify52.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0393503
11960480
25001468

prune138.0ms

Filtered
84 candidates to 57 candidates (67.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh066
Picked011
Done000
Total84791

Merged error: 0b

Counts
91 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ a y) (- z t))))
0.4b
(/ 1 (/ (/ a y) (- z t)))
5.9b
(/ (/ a y) (- z t))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
781×times-frac
478×*-un-lft-identity
473×add-sqr-sqrt
339×add-cube-cbrt
87×associate-/r*
67×distribute-lft-out-- difference-of-squares
40×associate-/r/
37×associate-/l*
34×div-inv
29×add-exp-log
20×associate-/l/
18×div-exp
17×add-cbrt-cube
9×cbrt-undiv
7×clear-num
5×flip3-- frac-2neg flip-- add-log-exp
4×pow1 remove-double-div
3×rec-exp 1-exp
2×distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 466
Calls
3 calls:
58.0ms
(+ x (/ 1 (/ (/ a y) (- z t))))
25.0ms
(/ 1 (/ (/ a y) (- z t)))
9.0ms
(/ (/ a y) (- z t))

series151.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(+ x (/ 1 (/ (/ a y) (- z t))))
53.0ms
(/ 1 (/ (/ a y) (- z t)))
47.0ms
(/ (/ a y) (- z t))

simplify78.0ms

Algorithm
egg-herbie
Counts
475 → 475
Iterations

Useful iterations: 1 (33.0ms)

IterNodesCost
014624594
150014129

prune707.0ms

Filtered
475 candidates to 273 candidates (57.5%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New4750475
Fresh055
Picked011
Done011
Total4757482

Merged error: 0b

Counts
482 → 7

regimes260.0ms

Accuracy

81.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 2.3b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03114
13114

end0.0ms

sample625.0ms

Algorithm
intervals
Results
303.0ms10690×body80valid