Details

Time bar (total: 5.1s)

sample29.0ms

Algorithm
intervals
Results
9.0ms245×body80valid
5.0ms17×body640valid
2.0ms10×body1280valid
1.0ms12×body320valid
0.0ms5×body160valid
0.0ms1×body2560valid

simplify65.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514936
633936
750026

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
1.4b
(+ x (/ (* (- y x) (- z t)) (- a t)))
18.2b
(/ (* (- y x) (- z t)) (- a t))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
18.0ms
(* (- y x) (- z t))
11.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
13.0ms
(/ (* (- y x) (- z t)) (- a t))

series306.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* (- y x) (- z t))
152.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
118.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify54.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0468583
12162534
25003534

prune228.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 4.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.4b
(+ x (/ (- y x) (/ (- a t) (- z t))))
2.6b
(/ (- y x) (/ (- a t) (- z t)))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
330×times-frac
323×*-un-lft-identity
321×add-sqr-sqrt
113×add-cube-cbrt
104×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×associate-/r/
10×add-exp-log add-cbrt-cube associate-/l*
9×flip3-- flip--
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×frac-2neg clear-num
1×+-commutative associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 274
Calls
3 calls:
11.0ms
(/ (- a t) (- z t))
63.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
23.0ms
(/ (- y x) (/ (- a t) (- z t)))

series403.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- a t) (- z t))
155.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
199.0ms
(/ (- y x) (/ (- a t) (- z t)))

simplify103.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010303053
142632984
250032984

prune602.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- z t))
0.2b
(* (- a t) (/ 1 (- z t)))
1.7b
(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))
2.6b
(/ (- y x) (* (- a t) (/ 1 (- z t))))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
53×add-sqr-sqrt
49×*-un-lft-identity
37×times-frac
32×add-exp-log
26×add-cube-cbrt
21×associate-*r*
20×add-cbrt-cube
11×div-exp
10×associate-/r/ distribute-lft-out-- difference-of-squares
8×prod-exp associate-/l*
7×pow1 flip3-- flip--
6×cbrt-undiv associate-/r* add-log-exp
5×associate-*l*
4×frac-times associate-*l/ cbrt-unprod
3×rec-exp 1-exp div-inv unswap-sqr
2×frac-2neg div-sub associate-*r/ clear-num un-div-inv associate-/l/
1×+-commutative associate-+r- pow-flip flip3-+ pow-prod-down sum-log *-commutative flip-+ distribute-lft-out inv-pow
Counts
4 → 142
Calls
4 calls:
6.0ms
(/ 1 (- z t))
24.0ms
(* (- a t) (/ 1 (- z t)))
14.0ms
(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))
18.0ms
(/ (- y x) (* (- a t) (/ 1 (- z t))))

series429.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ 1 (- z t))
48.0ms
(* (- a t) (/ 1 (- z t)))
149.0ms
(+ x (/ (- y x) (* (- a t) (/ 1 (- z t)))))
199.0ms
(/ (- y x) (* (- a t) (/ 1 (- z t))))

simplify63.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0559960
12445832
25001785

prune346.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 4.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.4b
(+ x (/ (- y x) (/ (- a t) (- z t))))
2.6b
(/ (- y x) (/ (- a t) (- z t)))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
330×times-frac
323×*-un-lft-identity
321×add-sqr-sqrt
113×add-cube-cbrt
104×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×associate-/r/
10×add-exp-log add-cbrt-cube associate-/l*
9×flip3-- flip--
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×frac-2neg clear-num
1×+-commutative associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 274
Calls
3 calls:
11.0ms
(/ (- a t) (- z t))
65.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
21.0ms
(/ (- y x) (/ (- a t) (- z t)))

series403.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- a t) (- z t))
158.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
199.0ms
(/ (- y x) (/ (- a t) (- z t)))

simplify111.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
010303053
142632984
250032984

prune560.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 4.0b

regimes241.0ms

Accuracy

20.1% (5.9b remaining)

Error of 10.5b against oracle of 4.6b and baseline of 12.0b

bsearch82.0ms

Steps
ItersRangePoint
8
4.038467966787413e-129
1.1081236380008932e-126
6.912778740982265e-128
6
-9.72552454485108e-192
-6.586453880100571e-193
-7.810046247694992e-192

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03513
13513

end0.0ms

sample681.0ms

Algorithm
intervals
Results
249.0ms7717×body80valid
59.0ms488×body640valid
47.0ms287×body1280valid
38.0ms429×body320valid
16.0ms266×body160valid
3.0ms14×body2560valid