Details

Time bar (total: 4.2s)

sample28.0ms

Algorithm
intervals
Results
8.0ms237×body80valid
3.0ms22×body640valid
2.0ms19×body320valid
2.0ms10×body1280valid
1.0msbody160valid

simplify94.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (8.0ms)

IterNodesCost
0206
1456
21165
33245
48615
519075
645605
750015

prune10.0ms

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: 13.9b

Counts
2 → 2

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
18.4b
(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)

series145.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y x) (- a t))
93.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify72.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune243.0ms

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: 7.7b

Counts
72 → 16

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
3.7b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
8.0b
(* (/ (- y x) (- a t)) (- z t))

rewrite53.0ms

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))

series422.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(/ (- y x) (- a t))
146.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
219.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify90.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
06841508
125811283
250031263

prune467.0ms

Filtered
179 candidates to 117 candidates (65.4%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1709179
Fresh7815
Picked011
Done000
Total17718195

Merged error: 7.6b

Counts
195 → 18

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.1b
(* (- y x) (/ (- z t) (- a t)))
2.2b
(+ (* (- 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)))
15.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series337.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(/ (- z t) (- a t))
121.0ms
(* (- y x) (/ (- z t) (- a t)))
161.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify73.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
0491904
12052854
25002852

prune347.0ms

Filtered
135 candidates to 95 candidates (70.4%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1296135
Fresh10616
Picked101
Done011
Total14013153

Merged error: 5.0b

Counts
153 → 13

localize9.0ms

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:
9.0ms
(/ (- z t) (- a t))
1.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

series161.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- z t) (- a t))
107.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

simplify72.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0266450
1727425
22557423
35001423

prune168.0ms

Filtered
70 candidates to 49 candidates (70.0%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New69170
Fresh01111
Picked011
Done011
Total691483

Merged error: 5.0b

Counts
83 → 14

regimes363.0ms

Accuracy

15.1% (6.7b remaining)

Error of 10.5b against oracle of 3.8b and baseline of 11.6b

bsearch206.0ms

Steps
ItersRangePoint
9
2.695775082118271e-191
3.030265544252734e-184
2.8613130912406488e-186
9
-2.3482065117793634e-162
-3.251586336809299e-170
-1.396010621686514e-163
7
-1.720270555946997e-102
-4.4080097069261015e-104
-1.7455414240065636e-103
8
-1.5478475602673806e-77
-2.4294175757803086e-82
-7.220968503610867e-82

simplify6.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 2 (1.0ms)

IterNodesCost
03125
13425
24010
34310
44910
56010
66710
76810
86810

end0.0ms

sample712.0ms

Algorithm
intervals
Results
262.0ms7826×body80valid
63.0ms484×body640valid
43.0ms279×body1280valid
42.0ms422×body320valid
15.0ms236×body160valid
6.0ms16×body2560valid

Profiling

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