Details

Time bar (total: 5.5s)

sample41.0ms

Algorithm
intervals
Results
14.0ms245×body80valid
4.0ms19×body640valid
2.0ms11×body320valid
2.0ms14×body160valid
1.0ms5×body1280valid

simplify62.0ms

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

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
4.0b
(+ x (/ (* (- y x) (- z t)) (- a t)))
16.8b
(/ (* (- y x) (- z t)) (- a t))

rewrite29.0ms

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:
8.0ms
(* (- y x) (- z t))
7.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
11.0ms
(/ (* (- y x) (- z t)) (- a t))

series294.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* (- y x) (- z t))
145.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
116.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify58.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0468583
12162534
25003534

prune249.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 5.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.1b
(* (- y x) (/ (- z t) (- a t)))
4.0b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite34.0ms

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:
7.0ms
(/ (- z t) (- a t))
16.0ms
(* (- y x) (/ (- z t) (- a t)))
4.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series296.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (- z t) (- a t))
107.0ms
(* (- y x) (/ (- z t) (- a t)))
144.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0476869
12018820
25001820

prune288.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 5.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.2b
(/ (- y x) (/ (- a t) (- z t)))
4.0b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite78.0ms

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:
8.0ms
(/ (- a t) (- z t))
14.0ms
(/ (- y x) (/ (- a t) (- z t)))
40.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series423.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- a t) (- z t))
196.0ms
(/ (- y x) (/ (- a t) (- z t)))
178.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify110.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
010303053
142632984
250032984

prune651.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 4.7b

localize16.0ms

Local error

Found 4 expressions with local error:

2.9b
(cbrt (/ (- a t) (- z t)))
2.9b
(cbrt (/ (- a t) (- z t)))
2.9b
(cbrt (/ (- a t) (- z t)))
4.0b
(+ x (/ (/ (- y x) (* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t))))) (cbrt (/ (- a t) (- z t)))))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
99×*-un-lft-identity
97×add-sqr-sqrt
93×cbrt-prod
75×times-frac
37×add-cube-cbrt
30×distribute-lft-out-- difference-of-squares
6×associate-/r/ add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×cbrt-div flip3-- pow1/3 flip-- div-inv
2×div-sub
1×+-commutative associate-+r- flip3-+ sum-log flip-+ distribute-lft-out
Counts
4 → 133
Calls
4 calls:
7.0ms
(cbrt (/ (- a t) (- z t)))
7.0ms
(cbrt (/ (- a t) (- z t)))
7.0ms
(cbrt (/ (- a t) (- z t)))
87.0ms
(+ x (/ (/ (- y x) (* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t))))) (cbrt (/ (- a t) (- z t)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
309.0ms
(cbrt (/ (- a t) (- z t)))
300.0ms
(cbrt (/ (- a t) (- z t)))
301.0ms
(cbrt (/ (- a t) (- z t)))
150.0ms
(+ x (/ (/ (- y x) (* (cbrt (/ (- a t) (- z t))) (cbrt (/ (- a t) (- z t))))) (cbrt (/ (- a t) (- z t)))))

simplify98.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 3 (77.0ms)

IterNodesCost
03981679
19341591
234081575
350011533

prune476.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.7b

regimes289.0ms

Accuracy

13% (6.4b remaining)

Error of 10.5b against oracle of 4.0b and baseline of 11.4b

bsearch81.0ms

Steps
ItersRangePoint
8
5.4487218390573786e-213
2.015903040355365e-210
1.7888988399164032e-210
7
-2.5962665469001577e-297
-4.1002396814977254e-299
-3.218101976979679e-298

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03012
13012

end0.0ms

sample703.0ms

Algorithm
intervals
Results
264.0ms7772×body80valid
67.0ms480×body640valid
40.0ms262×body1280valid
36.0ms389×body320valid
18.0ms286×body160valid
8.0ms17×body2560valid