Details

Time bar (total: 2.4s)

sample38.0ms

Algorithm
intervals
Results
15.0ms345×body80valid

simplify50.0ms

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

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 5.3b

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))
5.8b
(/ (* 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:
4.0ms
(+ x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series37.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(+ x (/ (* y (- z t)) a))
7.0ms
(* y (- z t))
12.0ms
(/ (* y (- z t)) a)

simplify40.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0297325
11236280
25001280

prune94.0ms

Filtered
45 candidates to 70 candidates (-55.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New63770
Fresh000
Picked101
Done000
Total64771

Merged error: 0.0b

Counts
71 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (+ (* y z) (* y (neg t))) a))
0.2b
(+ (* y z) (* y (neg t)))
5.8b
(/ (+ (* y z) (* y (neg t))) a)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity
12×add-sqr-sqrt add-cube-cbrt times-frac
7×add-log-exp
6×distribute-rgt-neg-out distribute-lft-out
5×add-exp-log add-cbrt-cube
4×div-sub associate-/l*
3×pow1 flip3-+ unsub-neg associate-/r* flip-+
2×+-commutative associate-+r- sum-log associate-/l/
1×cbrt-undiv frac-2neg div-exp clear-num div-inv
Counts
3 → 63
Calls
3 calls:
8.0ms
(+ x (/ (+ (* y z) (* y (neg t))) a))
3.0ms
(+ (* y z) (* y (neg t)))
6.0ms
(/ (+ (* y z) (* y (neg t))) a)

series35.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ x (/ (+ (* y z) (* y (neg t))) a))
7.0ms
(+ (* y z) (* y (neg t)))
13.0ms
(/ (+ (* y z) (* y (neg t))) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 2 (31.0ms)

IterNodesCost
0282536
11066465
25001442

prune83.0ms

Filtered
53 candidates to 72 candidates (-35.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New70272
Fresh336
Picked011
Done000
Total73679

Merged error: 0b

Counts
79 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ a y) (- z t))))
0.3b
(/ 1 (/ (/ a y) (- z t)))
7.0b
(/ (/ a y) (- z t))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
53.0ms
(+ x (/ 1 (/ (/ a y) (- z t))))
18.0ms
(/ 1 (/ (/ a y) (- z t)))
8.0ms
(/ (/ a y) (- z t))

series43.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ x (/ 1 (/ (/ a y) (- z t))))
18.0ms
(/ 1 (/ (/ a y) (- z t)))
10.0ms
(/ (/ a y) (- z t))

simplify74.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (32.0ms)

IterNodesCost
014194507
150023661

prune227.0ms

Filtered
203 candidates to 434 candidates (-113.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New4331434
Fresh224
Picked101
Done011
Total4364440

Merged error: 0b

Counts
440 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- z t)))
6.3b
(* (/ y a) (- z t))

rewrite14.0ms

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)))
9.0ms
(* (/ y a) (- z t))

series30.0ms

Counts
2 → 6
Calls
2 calls:
15.0ms
(+ x (* (/ y a) (- z t)))
15.0ms
(* (/ y a) (- z t))

simplify39.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0323335
11236299
25001299

prune51.0ms

Filtered
42 candidates to 63 candidates (-50.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh022
Picked011
Done011
Total63467

Merged error: 0b

Counts
67 → 4

regimes409.0ms

Accuracy

37.8% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.5b

bsearch70.0ms

Steps
ItersRangePoint
9
1.3688557459624616e-64
2.762779013679467e-55
1.7142068329116636e-56
8
-1.0938668144216346e-284
-5.312900033348275e-289
-5.7257024653564855e-285

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03314
13714
23814
33814

end0.0ms

sample884.0ms

Algorithm
intervals
Results
343.0ms10633×body80valid

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