Details

Time bar (total: 3.6s)

sample24.0ms

Algorithm
intervals
Results
10.0ms355×body80valid

simplify44.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0164
1324
2694
31484
42384
53644
65184
76384
87404
98134
108424
118424

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y (- z t)) a))
0.0b
(* y (- z t))
8.3b
(/ (* y (- z t)) a)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-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×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
4.0ms
(- x (/ (* y (- z t)) a))
6.0ms
(* y (- z t))
7.0ms
(/ (* y (- z t)) a)

series132.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(- x (/ (* y (- z t)) a))
34.0ms
(* y (- z t))
50.0ms
(/ (* y (- z t)) a)

simplify39.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0291345
11204306
25001306

prune152.0ms

Filtered
72 candidates to 47 candidates (65.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
112×add-sqr-sqrt
105×*-un-lft-identity
71×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×sub-neg diff-log
Counts
3 → 155
Calls
3 calls:
21.0ms
(- x (/ y (/ a (- z t))))
5.0ms
(/ a (- z t))
9.0ms
(/ y (/ a (- z t)))

series126.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- x (/ y (/ a (- z t))))
27.0ms
(/ a (- z t))
51.0ms
(/ y (/ a (- z t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
164 → 164
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
05511200
123711160
250011157

prune407.0ms

Filtered
164 candidates to 122 candidates (74.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (/ y a) (/ 1 (- z t))))
0.0b
(/ 1 (- z t))
6.6b
(/ (/ y a) (/ 1 (- z t)))

rewrite122.0ms

Algorithm
rewrite-expression-head
Rules
709×times-frac
410×add-sqr-sqrt
389×*-un-lft-identity
293×add-cube-cbrt
53×difference-of-squares
47×distribute-lft-out--
38×div-inv
31×associate-/r/
29×add-exp-log
26×associate-/r*
18×div-exp
17×add-cbrt-cube
16×flip3-- flip-- associate-/l*
9×cbrt-undiv
5×add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num
1×sub-neg pow-flip diff-log associate-/l/ inv-pow
Counts
3 → 392
Calls
3 calls:
68.0ms
(- x (/ (/ y a) (/ 1 (- z t))))
5.0ms
(/ 1 (- z t))
15.0ms
(/ (/ y a) (/ 1 (- z t)))

series136.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- x (/ (/ y a) (/ 1 (- z t))))
39.0ms
(/ 1 (- z t))
52.0ms
(/ (/ y a) (/ 1 (- z t)))

simplify81.0ms

Algorithm
egg-herbie
Counts
401 → 401
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017354403
150014018

prune802.0ms

Filtered
401 candidates to 221 candidates (55.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- (/ y a)) (- z t)))
6.5b
(* (- (/ y a)) (- z t))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
30×associate-*l*
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt times-frac
13×distribute-lft-neg-in distribute-rgt-neg-in
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×distribute-lft-neg-out distribute-neg-frac
2×frac-times flip3-- associate-*r/ flip-- div-inv
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down associate-*l/ prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 74
Calls
2 calls:
3.0ms
(+ x (* (- (/ y a)) (- z t)))
15.0ms
(* (- (/ y a)) (- z t))

series113.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ x (* (- (/ y a)) (- z t)))
63.0ms
(* (- (/ y a)) (- z t))

simplify42.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0370445
11450419
25001407

prune197.0ms

Filtered
80 candidates to 62 candidates (77.5%)
Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes311.0ms

Accuracy

34.4% (1.5b remaining)

Error of 1.5b against oracle of 0.0b and baseline of 2.3b

bsearch45.0ms

Steps
ItersRangePoint
0
2.155207585795633e-303
2.2130857069116655e-303
2.1841466463536493e-303
9
-1.295457912603402e-17
-4.882763012316852e-23
-1.0389978753346052e-17

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02913
13313
23413
33413

end0.0ms

sample624.0ms

Algorithm
intervals
Results
303.0ms10694×body80valid