Details

Time bar (total: 4.2s)

sample33.0ms

Algorithm
intervals
Results
13.0ms261×body80valid
2.0ms17×body640valid
2.0msbody1280valid
1.0ms11×body320valid
0.0msbody160valid
0.0msbody2560valid

simplify81.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (7.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune8.0ms

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: 10.2b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
14.6b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite12.0ms

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:
8.0ms
(/ (- y x) (- a t))
1.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series156.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(/ (- y x) (- a t))
90.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify64.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune234.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New561470
Fresh011
Picked101
Done000
Total571572

Merged error: 6.4b

Counts
72 → 15

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
2.2b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
6.0b
(* (/ (- y x) (- a t)) (- z t))

rewrite55.0ms

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))
16.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
22.0ms
(* (/ (- y x) (- a t)) (- z t))

series418.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- y x) (- a t))
149.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
216.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify84.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (66.0ms)

IterNodesCost
06841508
125811283
250031263

prune441.0ms

Filtered
179 candidates to 118 candidates (65.9%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1736179
Fresh31114
Picked011
Done000
Total17618194

Merged error: 6.4b

Counts
194 → 18

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.5b
(+ (* (- y x) (/ (- z t) (- a t))) x)
1.9b
(* (- 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:
12.0ms
(/ (- z t) (- a t))
13.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)
17.0ms
(* (- y x) (/ (- z t) (- a t)))

series351.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (- z t) (- a t))
159.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)
139.0ms
(* (- y x) (/ (- z t) (- a t)))

simplify64.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0491904
12052854
25003852

prune339.0ms

Filtered
135 candidates to 95 candidates (70.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1314135
Fresh7916
Picked101
Done101
Total14013153

Merged error: 3.1b

Counts
153 → 13

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.8b
(fma (- y x) (/ (- z t) (- a t)) x)

rewrite12.0ms

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)

series158.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(/ (- z t) (- a t))
104.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

simplify63.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0266450
1727425
22557423
35001423

prune177.0ms

Filtered
70 candidates to 50 candidates (71.4%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New67370
Fresh21012
Picked101
Done000
Total701383

Merged error: 3.1b

Counts
83 → 13

regimes420.0ms

Accuracy

19.4% (6.7b remaining)

Error of 10.2b against oracle of 3.5b and baseline of 11.8b

bsearch113.0ms

Steps
ItersRangePoint
7
5.531914779802399e-150
9.75663645696442e-148
1.982221659029283e-148
9
-2.077825720012246e-165
-1.2927802984630144e-170
-1.1644172666068035e-167

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02911
12911

end0.0ms

sample800.0ms

Algorithm
intervals
Results
317.0ms7785×body80valid
76.0ms529×body640valid
47.0ms408×body320valid
43.0ms240×body1280valid
20.0ms272×body160valid
3.0ms12×body2560valid