Details

Time bar (total: 4.1s)

sample26.0ms

Algorithm
intervals
Results
9.0ms254×body80valid
2.0ms14×body640valid
1.0ms6×body1280valid
1.0ms14×body160valid
1.0ms9×body320valid

simplify74.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.9b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
14.0b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt *-un-lft-identity
25×times-frac
14×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
12.0ms
(/ (- y x) (- a t))
0.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series132.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y x) (- a t))
81.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify60.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune188.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.7b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
3.7b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
5.3b
(* (/ (- y x) (- a t)) (- z t))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
102×add-sqr-sqrt
97×*-un-lft-identity
51×add-cube-cbrt times-frac
36×prod-diff
31×associate-*l*
23×distribute-lft-out-- difference-of-squares
22×distribute-rgt-in associate-+l+ distribute-lft-in
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
4×sub-neg associate-/r/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 170
Calls
3 calls:
12.0ms
(/ (- y x) (- a t))
14.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
35.0ms
(* (/ (- y x) (- a t)) (- z t))

series376.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (- y x) (- a t))
132.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
194.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify69.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
06841508
125811283
250031263

prune415.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.7b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.1b
(* (- y x) (/ (- z t) (- a t)))
3.2b
(+ (* (- y x) (/ (- z t) (- a t))) x)

rewrite63.0ms

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/
3×expm1-log1p-u log1p-expm1-u
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative fma-def frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 126
Calls
3 calls:
12.0ms
(/ (- z t) (- a t))
34.0ms
(* (- y x) (/ (- z t) (- a t)))
12.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series292.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (- z t) (- a t))
105.0ms
(* (- y x) (/ (- z t) (- a t)))
142.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify59.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0491904
12052854
25002852

prune319.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.7b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.2b
(* (- z t) (/ 1 (- a t)))
1.1b
(* (- y x) (* (- z t) (/ 1 (- a t))))
4.1b
(+ (* (- y x) (* (- z t) (/ 1 (- a t)))) x)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×expm1-log1p-u pow-prod-down associate-/r/ un-div-inv log1p-expm1-u
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip fma-def frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 155
Calls
4 calls:
6.0ms
(/ 1 (- a t))
24.0ms
(* (- z t) (/ 1 (- a t)))
37.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
29.0ms
(+ (* (- y x) (* (- z t) (/ 1 (- a t)))) x)

series338.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ 1 (- a t))
49.0ms
(* (- z t) (/ 1 (- a t)))
109.0ms
(* (- y x) (* (- z t) (/ 1 (- a t))))
146.0ms
(+ (* (- y x) (* (- z t) (/ 1 (- a t)))) x)

simplify72.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06041066
12844944
25001896

prune348.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 2.7b

regimes220.0ms

Accuracy

10.7% (7.4b remaining)

Error of 11.3b against oracle of 4.0b and baseline of 12.2b

bsearch72.0ms

Steps
ItersRangePoint
4
2.1056044837130707e+195
3.24774600523548e+195
2.8617285144140067e+195
9
-2.72509595434396e+220
-5.655548204247364e+211
-3.7270150232317874e+214

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03212
13212

end0.0ms

sample724.0ms

Algorithm
intervals
Results
272.0ms7663×body80valid
62.0ms494×body640valid
47.0ms277×body1280valid
43.0ms447×body320valid
21.0ms278×body160valid
4.0ms23×body2560valid