Details

Time bar (total: 4.1s)

sample27.0ms

Algorithm
intervals
Results
10.0ms239×body80valid
2.0ms20×body640valid
1.0ms13×body320valid
1.0msbody1280valid
0.0msbody160valid
0.0msbody2560valid

simplify76.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune9.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.9b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
15.5b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite13.0ms

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
associate-/r* associate-/l*
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
9.0ms
(/ (- y x) (- a t))
1.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series143.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- y x) (- a t))
90.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify60.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune248.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New531770
Fresh011
Picked101
Done000
Total541872

Merged error: 6.8b

Counts
72 → 18

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
2.1b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
6.2b
(* (/ (- y x) (- a t)) (- z t))

rewrite58.0ms

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
pow1 flip3-- associate-*r* associate-/r* flip-- associate-/l* add-log-exp
sub-neg associate-/r/
expm1-log1p-u log1p-expm1-u
cbrt-undiv frac-times associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-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:
9.0ms
(/ (- y x) (- a t))
17.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
23.0ms
(* (/ (- y x) (- a t)) (- z t))

series424.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- y x) (- a t))
151.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
219.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify80.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
06841508
125811283
250031263

prune473.0ms

Filtered
179 candidates to 117 candidates (65.4%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New16910179
Fresh61117
Picked101
Done000
Total17621197

Merged error: 6.7b

Counts
197 → 21

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.6b
(+ (* (- y x) (/ (- z t) (- a t))) x)
1.8b
(* (- y x) (/ (- z t) (- a t)))

rewrite48.0ms

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
pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
associate-/r/
expm1-log1p-u log1p-expm1-u
cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
+-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:
9.0ms
(/ (- z t) (- a t))
14.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)
19.0ms
(* (- y x) (/ (- z t) (- a t)))

series351.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ (- z t) (- a t))
168.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)
128.0ms
(* (- y x) (/ (- z t) (- a t)))

simplify62.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0491904
12052854
25003852

prune359.0ms

Filtered
135 candidates to 95 candidates (70.4%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1296135
Fresh12820
Picked101
Done000
Total14214156

Merged error: 3.0b

Counts
156 → 14

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.2b
(fma (- y x) (/ (- z t) (- a t)) x)

rewrite13.0ms

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
associate-/r* associate-/l*
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
cbrt-undiv frac-2neg div-sub div-exp clear-num fma-udef div-inv
Counts
2 → 64
Calls
2 calls:
9.0ms
(/ (- z t) (- a t))
1.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

series155.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- z t) (- a t))
103.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

simplify62.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0266450
1727425
22557423
35001423

prune175.0ms

Filtered
70 candidates to 50 candidates (71.4%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New66470
Fresh21113
Picked011
Done000
Total681684

Merged error: 3.0b

Counts
84 → 16

regimes372.0ms

Accuracy

15.2% (6.5b remaining)

Error of 10.0b against oracle of 3.5b and baseline of 11.1b

bsearch104.0ms

Steps
ItersRangePoint
10
2.6015302931465497e-186
6.350574364807517e-175
3.1628816674718845e-184
7
-1.1806457414110754e-85
-7.109156180311629e-88
-7.254871104662085e-88

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02510
12510

end0.0ms

sample709.0ms

Algorithm
intervals
Results
262.0ms7874×body80valid
59.0ms460×body640valid
46.0ms247×body1280valid
38.0ms379×body320valid
20.0ms260×body160valid
3.0ms16×body2560valid