Details

Time bar (total: 5.1s)

sample26.0ms

Algorithm
intervals
Results
10.0ms246×body80valid
2.0ms14×body640valid
1.0ms7×body1280valid
1.0ms11×body320valid
1.0ms11×body160valid

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: 24.8b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) (- z t))
3.4b
(+ x (/ (* (- y x) (- z t)) (- a t)))
19.5b
(/ (* (- y x) (- z t)) (- a t))

rewrite42.0ms

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:
17.0ms
(* (- y x) (- z t))
10.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
13.0ms
(/ (* (- y x) (- z t)) (- a t))

series292.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(* (- y x) (- z t))
146.0ms
(+ x (/ (* (- y x) (- z t)) (- a t)))
110.0ms
(/ (* (- y x) (- z t)) (- a t))

simplify56.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0468583
12162534
25003534

prune243.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.5b
(* (- y x) (/ (- z t) (- a t)))
3.4b
(+ x (* (- y x) (/ (- z t) (- a t))))

rewrite52.0ms

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:
11.0ms
(/ (- z t) (- a t))
34.0ms
(* (- y x) (/ (- z t) (- a t)))
3.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

series303.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- z t) (- a t))
107.0ms
(* (- y x) (/ (- z t) (- a t)))
149.0ms
(+ x (* (- y x) (/ (- z t) (- a t))))

simplify53.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0476869
12018820
25001820

prune291.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) (- z t))
1.7b
(/ (- y x) (/ (- a t) (- z t)))
3.4b
(+ x (/ (- y x) (/ (- a t) (- z t))))

rewrite116.0ms

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)))
67.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

series388.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- a t) (- z t))
188.0ms
(/ (- y x) (/ (- a t) (- z t)))
153.0ms
(+ x (/ (- y x) (/ (- a t) (- z t))))

simplify99.0ms

Algorithm
egg-herbie
Counts
283 → 283
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
010303053
142632984
250032984

prune610.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- a t) (- z t))
0.3b
(/ 1 (/ (- a t) (- z t)))
1.5b
(* (- y x) (/ 1 (/ (- a t) (- z t))))
3.4b
(+ x (* (- y x) (/ 1 (/ (- a t) (- z t)))))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
338×add-sqr-sqrt
326×*-un-lft-identity
158×add-cube-cbrt
98×associate-*r*
83×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
11×flip3-- flip--
10×div-inv
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×associate-*l* unswap-sqr
4×rec-exp 1-exp
3×cbrt-unprod
2×frac-times frac-2neg associate-*l/ clear-num associate-/l/
1×+-commutative pow-flip flip3-+ div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 344
Calls
4 calls:
10.0ms
(/ (- a t) (- z t))
14.0ms
(/ 1 (/ (- a t) (- z t)))
59.0ms
(* (- y x) (/ 1 (/ (- a t) (- z t))))
2.0ms
(+ x (* (- y x) (/ 1 (/ (- a t) (- z t)))))

series524.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(/ (- a t) (- z t))
128.0ms
(/ 1 (/ (- a t) (- z t)))
193.0ms
(* (- y x) (/ 1 (/ (- a t) (- z t))))
155.0ms
(+ x (* (- y x) (/ 1 (/ (- a t) (- z t)))))

simplify53.0ms

Algorithm
egg-herbie
Counts
356 → 356
Iterations

Useful iterations: 1 (25.0ms)

IterNodesCost
010143050
150012753

prune720.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.0b

regimes229.0ms

Accuracy

23.4% (6.1b remaining)

Error of 10.3b against oracle of 4.2b and baseline of 12.2b

bsearch81.0ms

Steps
ItersRangePoint
8
1.8516843586173835e-182
1.0559418289661973e-179
7.036096742264169e-181
7
-1.0987850996476219e-125
-3.2893036023044285e-127
-4.28726696790774e-126

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03620
13620

end0.0ms

sample673.0ms

Algorithm
intervals
Results
244.0ms7738×body80valid
60.0ms502×body640valid
44.0ms268×body1280valid
41.0ms442×body320valid
16.0ms277×body160valid
3.0ms14×body2560valid