Details

Time bar (total: 4.1s)

sample29.0ms

Algorithm
intervals
Results
10.0ms254×body80valid
2.0ms13×body640valid
2.0ms15×body320valid
1.0msbody1280valid
1.0msbody160valid
0.0msbody2560valid

simplify77.0ms

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: 10.3b

Counts
2 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
14.3b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite17.0ms

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:
12.0ms
(/ (- y x) (- a t))
1.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

series197.0ms

Counts
2 → 6
Calls
2 calls:
84.0ms
(/ (- y x) (- a t))
113.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify75.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune235.0ms

Filtered
70 candidates to 51 candidates (72.9%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New551570
Fresh011
Picked101
Done000
Total561672

Merged error: 6.8b

Counts
72 → 16

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)
5.2b
(* (/ (- 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))
16.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
19.0ms
(* (/ (- y x) (- a t)) (- z t))

series423.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ (- y x) (- a t))
151.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
215.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify79.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
06841508
125811283
250031263

prune438.0ms

Filtered
179 candidates to 117 candidates (65.4%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1727179
Fresh41115
Picked011
Done000
Total17619195

Merged error: 6.8b

Counts
195 → 19

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
1.7b
(* (- y x) (/ (- z t) (- a t)))
3.0b
(+ (* (- 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))
18.0ms
(* (- y x) (/ (- z t) (- a t)))
14.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series337.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(/ (- z t) (- a t))
120.0ms
(* (- y x) (/ (- z t) (- a t)))
161.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify67.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0491904
12052854
25002852

prune351.0ms

Filtered
135 candidates to 95 candidates (70.4%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1296135
Fresh8917
Picked101
Done101
Total13915154

Merged error: 3.1b

Counts
154 → 15

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
3.3b
(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)

series165.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(/ (- z t) (- a t))
108.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

simplify67.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0266450
1727425
22557423
35001423

prune157.0ms

Filtered
70 candidates to 50 candidates (71.4%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New67370
Fresh31114
Picked011
Done000
Total701585

Merged error: 3.1b

Counts
85 → 15

regimes329.0ms

Accuracy

14% (6.8b remaining)

Error of 10.3b against oracle of 3.5b and baseline of 11.4b

bsearch120.0ms

Steps
ItersRangePoint
9
9.561882953600986e-293
6.029675750155282e-284
5.56924712791129e-284
9
-1.125446630178774e-171
-1.924081377858164e-177
-3.307191002490809e-173

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02510
12510

end0.0ms

sample793.0ms

Algorithm
intervals
Results
323.0ms7832×body80valid
66.0ms455×body640valid
50.0ms276×body1280valid
46.0ms425×body320valid
17.0ms227×body160valid
4.0ms19×body2560valid