Details

Time bar (total: 5.6s)

sample26.0ms

Algorithm
intervals
Results
7.0ms239×body80valid
2.0ms16×body640valid
1.0ms15×body320valid
1.0ms6×body1280valid
1.0ms13×body160valid

simplify60.0ms

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: 26.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
3.0b
(+ x (/ (* (- y x) (- z t)) (- a t)))
18.7b
(/ (* (- y x) (- z t)) (- a t))

rewrite93.0ms

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:
37.0ms
(* (- y x) (- z t))
21.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
32.0ms
(/ (* (- y x) (- z t)) (- a t))

series267.0ms

Counts
3 → 9
Calls
3 calls:
33.0ms
(* (- y x) (- z t))
134.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
99.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify52.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0468583
12162534
25003534

prune257.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 4.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.1b
(* (- y x) (/ (- z t) (- a t)))
3.0b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite98.0ms

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:
24.0ms
(/ (- z t) (- a t))
60.0ms
(* (- y x) (/ (- z t) (- a t)))
8.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series291.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- z t) (- a t))
102.0ms
(* (- y x) (/ (- z t) (- a t)))
142.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify55.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0476869
12018820
25001820

prune292.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
2.3b
(/ (- y x) (/ (- a t) (- z t)))
3.0b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite178.0ms

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:
22.0ms
(/ (- a t) (- z t))
55.0ms
(/ (- y x) (/ (- a t) (- z t)))
83.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series355.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (- a t) (- z t))
174.0ms
(/ (- y x) (/ (- a t) (- z t)))
140.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify101.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010303053
142632984
250032984

prune593.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.8b

localize14.0ms

Local error

Found 4 expressions with local error:

2.3b
(/ (- y x) (/ (- a t) (- z t)))
3.0b
(+ x (/ (- y x) (/ (- a t) (- z t))))
3.0b
(+ x (/ (- y x) (/ (- a t) (- z t))))
3.0b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite300.0ms

Algorithm
rewrite-expression-head
Rules
305×times-frac
292×*-un-lft-identity
286×add-sqr-sqrt
102×add-cube-cbrt
92×distribute-lft-out-- difference-of-squares
31×associate-/r*
13×associate-/r/
10×add-log-exp
9×add-exp-log add-cbrt-cube
7×flip3-- flip-- div-inv
5×associate-/l*
4×pow1 div-sub
3×cbrt-undiv +-commutative associate-+r- flip3-+ div-exp sum-log flip-+ distribute-lft-out
2×associate-/l/
1×frac-2neg clear-num
Counts
4 → 248
Calls
4 calls:
36.0ms
(/ (- y x) (/ (- a t) (- z t)))
80.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
82.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
84.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series585.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(/ (- y x) (/ (- a t) (- z t)))
137.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
135.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))
140.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify100.0ms

Algorithm
egg-herbie
Counts
260 → 260
Iterations

Useful iterations: 1 (23.0ms)

IterNodesCost
09712981
139612900
250012900

prune718.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.8b

regimes269.0ms

Accuracy

-1.3% (7.9b remaining)

Error of 12.1b against oracle of 4.2b and baseline of 12.0b

bsearch64.0ms

Steps
ItersRangePoint
7
-4.4016160055267106e-169
-1.6697396132603647e-170
-9.925100312643911e-170
6
-5.072252383758936e-108
-9.93979222797904e-109
-1.5037435798431229e-108

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03112
13112

end0.0ms

sample767.0ms

Algorithm
intervals
Results
244.0ms7759×body80valid
51.0ms480×body640valid
38.0ms277×body1280valid
35.0ms429×body320valid
16.0ms283×body160valid
3.0ms15×body2560valid