Details

Time bar (total: 2.5s)

sample23.0ms

Algorithm
intervals
Results
9.0ms335×body80valid

simplify43.0ms

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 (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z t))
0.0b
(+ x (/ (* y (- z t)) a))
7.3b
(/ (* y (- z t)) a)

rewrite39.0ms

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:
9.0ms
(* y (- z t))
15.0ms
(+ x (/ (* y (- z t)) a))
10.0ms
(/ (* y (- z t)) a)

series142.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* y (- z t))
55.0ms
(+ x (/ (* y (- z t)) a))
50.0ms
(/ (* y (- z t)) a)

simplify52.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0456693
11843648
25002648

prune185.0ms

Filtered
122 candidates to 84 candidates (31.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1166122
Fresh000
Picked101
Done000
Total1176123

Merged error: 0b

Counts
123 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- z t) (/ y a)))
6.8b
(* (- z t) (/ y a))

rewrite29.0ms

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))

series95.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(+ x (* (- z t) (/ y a)))
43.0ms
(* (- z t) (/ y a))

simplify53.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0393503
11960480
25001468

prune128.0ms

Filtered
84 candidates to 55 candidates (34.5%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh145
Picked011
Done000
Total84690

Merged error: 0b

Counts
90 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:
22.0ms
(+ x (/ (- z t) (/ a y)))
13.0ms
(/ (- z t) (/ a y))

series93.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ x (/ (- z t) (/ a y)))
43.0ms
(/ (- z t) (/ a y))

simplify61.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0629978
12395939
25001938

prune208.0ms

Filtered
128 candidates to 90 candidates (29.7%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1262128
Fresh224
Picked011
Done011
Total1286134

Merged error: 0b

Counts
134 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) a)
0.0b
(+ x (* (/ (- z t) a) y))
4.4b
(* (/ (- z t) a) y)

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
25×add-cube-cbrt
20×associate-*l*
13×associate-*l/
10×add-exp-log add-cbrt-cube associate-/l*
8×distribute-lft-out-- difference-of-squares
6×associate-/r*
5×pow1 add-log-exp
4×associate-/l/
3×associate-*r*
2×cbrt-undiv flip3-- frac-2neg div-exp prod-exp clear-num flip-- cbrt-unprod div-inv distribute-lft-out unswap-sqr
1×+-commutative flip3-+ div-sub pow-prod-down sum-log *-commutative flip-+
Counts
3 → 101
Calls
3 calls:
6.0ms
(/ (- z t) a)
16.0ms
(+ x (* (/ (- z t) a) y))
10.0ms
(* (/ (- z t) a) y)

series123.0ms

Counts
3 → 9
Calls
3 calls:
27.0ms
(/ (- z t) a)
50.0ms
(+ x (* (/ (- z t) a) y))
45.0ms
(* (/ (- z t) a) y)

simplify46.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0379539
11548506
25001494

prune154.0ms

Filtered
110 candidates to 75 candidates (31.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1082110
Fresh213
Picked011
Done022
Total1106116

Merged error: 0b

Counts
116 → 6

regimes204.0ms

Accuracy

58.6% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 2.5b

bsearch89.0ms

Steps
ItersRangePoint
9
2.000551153316505e-107
2.3279353141189245e-102
6.520793096727247e-105
10
-1.2745855388170935e+40
-6.252082536157442e+29
-2.4970658353245034e+32

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03113
13113

end0.0ms

sample637.0ms

Algorithm
intervals
Results
310.0ms10668×body80valid