Details

Time bar (total: 7.1s)

sample38.0ms

Algorithm
intervals
Results
16.0ms243×body80valid
4.0ms16×body640valid
3.0ms18×body320valid
1.0ms11×body160valid
1.0ms3×body1280valid
0.0ms1×body2560valid

simplify61.0ms

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: 23.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
3.6b
(+ x (/ (* (- y x) (- z t)) (- a t)))
15.7b
(/ (* (- y x) (- z t)) (- a t))

rewrite43.0ms

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))
10.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
12.0ms
(/ (* (- y x) (- z t)) (- a t))

series297.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* (- y x) (- z t))
154.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
108.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify58.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0468583
12162534
25003534

prune255.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.5b
(/ (- y x) (/ (- a t) (- z t)))
3.6b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite111.0ms

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:
10.0ms
(/ (- a t) (- z t))
20.0ms
(/ (- y x) (/ (- a t) (- z t)))
62.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series410.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- a t) (- z t))
202.0ms
(/ (- y x) (/ (- a t) (- z t)))
161.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify102.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
010303053
142632984
250032984

prune834.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.4b
(* (- y x) (/ (- z t) (- a t)))
3.6b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
13.0ms
(/ (- z t) (- a t))
30.0ms
(* (- y x) (/ (- z t) (- a t)))
3.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series312.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ (- z t) (- a t))
114.0ms
(* (- y x) (/ (- z t) (- a t)))
151.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify56.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0476869
12018820
25001820

prune314.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 4.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.4b
(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
2.5b
(/ (/ (- a t) (- z t)) (- y x))
6.3b
(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

rewrite358.0ms

Algorithm
rewrite-expression-head
Rules
1933×times-frac
1483×*-un-lft-identity
1480×add-sqr-sqrt
624×add-cube-cbrt
428×distribute-lft-out-- difference-of-squares
171×associate-/r*
65×associate-/r/
39×associate-/l*
34×div-inv
33×flip3-- flip--
32×add-exp-log
20×add-cbrt-cube
19×div-exp
10×cbrt-undiv
6×add-log-exp
5×pow1
3×rec-exp frac-2neg 1-exp div-sub clear-num associate-/l/
2×distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
4 → 946
Calls
4 calls:
10.0ms
(/ (- a t) (- z t))
44.0ms
(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
27.0ms
(/ (/ (- a t) (- z t)) (- y x))
172.0ms
(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

series695.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (- a t) (- z t))
300.0ms
(/ 1 (/ (/ (- a t) (- z t)) (- y x)))
155.0ms
(/ (/ (- a t) (- z t)) (- y x))
188.0ms
(+ x (/ 1 (/ (/ (- a t) (- z t)) (- y x))))

simplify163.0ms

Algorithm
egg-herbie
Counts
958 → 958
Iterations

Useful iterations: 1 (46.0ms)

IterNodesCost
0235413203
1500111834

prune1.4s

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 4.3b

regimes386.0ms

Accuracy

37.7% (4.8b remaining)

Error of 9.2b against oracle of 4.4b and baseline of 12.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04745
14745

end0.0ms

sample1.1s

Algorithm
intervals
Results
485.0ms7717×body80valid
115.0ms492×body640valid
77.0ms269×body1280valid
76.0ms423×body320valid
34.0ms298×body160valid
6.0ms17×body2560valid