Details

Time bar (total: 4.0s)

sample33.0ms

Algorithm
intervals
Results
9.0ms239×body80valid
3.0msbody160valid
3.0ms16×body1280valid
2.0ms13×body640valid
1.0ms12×body320valid

simplify100.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

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: 11.7b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
15.1b
(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)

series150.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ (- y x) (- a t))
93.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune218.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New591170
Fresh011
Picked101
Done000
Total601272

Merged error: 5.4b

Counts
72 → 12

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
3.2b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
5.3b
(* (/ (- y x) (- a t)) (- z t))

rewrite57.0ms

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))
21.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
19.0ms
(* (/ (- y x) (- a t)) (- z t))

series422.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- y x) (- a t))
151.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
218.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify88.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
06841508
125811283
250031263

prune437.0ms

Filtered
179 candidates to 117 candidates (65.4%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1736179
Fresh2911
Picked101
Done000
Total17615191

Merged error: 5.3b

Counts
191 → 15

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.3b
(* (- y x) (/ (- z t) (- a t)))
2.5b
(+ (* (- y x) (/ (- z t) (- a t))) x)

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))
19.0ms
(* (- y x) (/ (- z t) (- a t)))
14.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series331.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (- z t) (- a t))
117.0ms
(* (- y x) (/ (- z t) (- a t)))
161.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify72.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0491904
12052854
25002852

prune336.0ms

Filtered
135 candidates to 95 candidates (70.4%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New1314135
Fresh6814
Picked101
Done000
Total13812150

Merged error: 3.0b

Counts
150 → 12

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
3.0b
(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:
10.0ms
(/ (- z t) (- a t))
1.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

series163.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ (- z t) (- a t))
108.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

simplify76.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0266450
1727425
22557423
35001423

prune157.0ms

Filtered
70 candidates to 50 candidates (71.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New69170
Fresh01111
Picked011
Done000
Total691382

Merged error: 3.0b

Counts
82 → 13

regimes390.0ms

Accuracy

40.2% (5.0b remaining)

Error of 8.7b against oracle of 3.8b and baseline of 12.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03022
13022

end0.0ms

sample817.0ms

Algorithm
intervals
Results
314.0ms7727×body80valid
76.0ms477×body640valid
59.0ms325×body1280valid
47.0ms425×body320valid
23.0ms261×body160valid
4.0ms17×body2560valid