Details

Time bar (total: 3.0s)

sample23.0ms

Algorithm
intervals
Results
10.0ms330×body80valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2454
3844
41254
51494
61704
72844
84914
98244
1013444
1125764
1238734
1350014

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: 5.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (/ (* y (- z x)) t))
4.9b
(/ (* y (- z x)) t)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
add-cube-cbrt
pow1 associate-*r* add-log-exp
associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/
+-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 x))
4.0ms
(+ x (/ (* y (- z x)) t))
7.0ms
(/ (* y (- z x)) t)

series143.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* y (- z x))
45.0ms
(+ x (/ (* y (- z x)) t))
52.0ms
(/ (* y (- z x)) t)

simplify55.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0290325
11223280
25001280

prune161.0ms

Filtered
70 candidates to 45 candidates (64.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New62870
Fresh000
Picked101
Done000
Total63871

Merged error: 0.0b

Counts
71 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ 1 (/ t (* y (- z x)))))
0.0b
(* y (- z x))
0.4b
(/ 1 (/ t (* y (- z x))))
4.9b
(/ t (* y (- z x)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
32×add-exp-log
31×*-un-lft-identity
30×add-sqr-sqrt
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
pow1 cbrt-undiv div-inv
flip3-- flip-- associate-/l* add-log-exp
associate-*r* prod-exp
rec-exp 1-exp associate-*l* cbrt-unprod
distribute-rgt-in sub-neg frac-2neg distribute-lft-in clear-num distribute-lft-out
+-commutative pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
4 → 126
Calls
4 calls:
13.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
8.0ms
(* y (- z x))
11.0ms
(/ 1 (/ t (* y (- z x))))
9.0ms
(/ t (* y (- z x)))

series194.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ x (/ 1 (/ t (* y (- z x)))))
43.0ms
(* y (- z x))
65.0ms
(/ 1 (/ t (* y (- z x))))
52.0ms
(/ t (* y (- z x)))

simplify57.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0447816
12087669
25002652

prune187.0ms

Filtered
138 candidates to 75 candidates (54.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1371138
Fresh347
Picked011
Done000
Total1406146

Merged error: 0b

Counts
146 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t y) (- z x))))
0.4b
(/ 1 (/ (/ t y) (- z x)))
7.2b
(/ (/ t y) (- z x))

rewrite116.0ms

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/
cbrt-undiv
flip3-- flip-- add-log-exp
pow1
rec-exp 1-exp
frac-2neg clear-num distribute-lft-out
+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
50.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
22.0ms
(/ 1 (/ (/ t y) (- z x)))
9.0ms
(/ (/ t y) (- z x))

series128.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(+ x (/ 1 (/ (/ t y) (- z x))))
57.0ms
(/ 1 (/ (/ t y) (- z x)))
37.0ms
(/ (/ t y) (- z x))

simplify85.0ms

Algorithm
egg-herbie
Counts
434 → 434
Iterations

Useful iterations: 1 (37.0ms)

IterNodesCost
014124509
150013663

prune563.0ms

Filtered
434 candidates to 204 candidates (47.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New4331434
Fresh134
Picked101
Done011
Total4355440

Merged error: 0b

Counts
440 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
add-exp-log add-cbrt-cube
associate-*r*
pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
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 t) (- z x)))
12.0ms
(* (/ y t) (- z x))

series91.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (* (/ y t) (- z x)))
53.0ms
(* (/ y t) (- z x))

simplify38.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0315335
11214299
25002299

prune98.0ms

Filtered
63 candidates to 42 candidates (66.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New63063
Fresh033
Picked011
Done011
Total63568

Merged error: 0b

Counts
68 → 5

regimes110.0ms

Accuracy

41% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.0b

bsearch82.0ms

Steps
ItersRangePoint
9
3.278345425089741e+27
1.8731059256079885e+35
3.5902872314901977e+27
9
-1.1603533628103422e-29
-1.3742896650469235e-34
-4.843382572618535e-33

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0289
1289

end0.0ms

sample643.0ms

Algorithm
intervals
Results
350.0ms10658×body80valid