Details

Time bar (total: 3.6s)

sample29.0ms

Algorithm
intervals
Results
11.0ms252×body80valid
3.0ms19×body640valid
2.0ms10×body1280valid
1.0msbody320valid
0.0msbody160valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

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: 9.9b

Counts
2 → 2

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
12.8b
(fma (/ (- y x) (- a t)) (- z t) x)

rewrite11.0ms

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)

series136.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ (- y x) (- a t))
84.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0269450
1734425
22488423
35002423

prune188.0ms

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: 7.2b

Counts
72 → 15

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- y x) (- a t))
3.3b
(+ (* (/ (- y x) (- a t)) (- z t)) x)
4.5b
(* (/ (- y x) (- a t)) (- z t))

rewrite49.0ms

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:
11.0ms
(/ (- y x) (- a t))
14.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
17.0ms
(* (/ (- y x) (- a t)) (- z t))

series385.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ (- y x) (- a t))
137.0ms
(+ (* (/ (- y x) (- a t)) (- z t)) x)
199.0ms
(* (/ (- y x) (- a t)) (- z t))

simplify69.0ms

Algorithm
egg-herbie
Counts
179 → 179
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
06841508
125811283
250031263

prune379.0ms

Filtered
179 candidates to 118 candidates (65.9%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New1718179
Fresh41014
Picked101
Done000
Total17618194

Merged error: 7.1b

Counts
194 → 18

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite44.0ms

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:
11.0ms
(/ (- z t) (- a t))
16.0ms
(* (- y x) (/ (- z t) (- a t)))
12.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

series304.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (- z t) (- a t))
114.0ms
(* (- y x) (/ (- z t) (- a t)))
143.0ms
(+ (* (- y x) (/ (- z t) (- a t))) x)

simplify56.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0491904
12052854
25002852

prune292.0ms

Filtered
135 candidates to 95 candidates (70.4%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1296135
Fresh71017
Picked101
Done000
Total13716153

Merged error: 5.1b

Counts
153 → 16

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z t) (- a t))
2.8b
(fma (- y x) (/ (- z t) (- a t)) x)

rewrite14.0ms

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:
11.0ms
(/ (- z t) (- a t))
1.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

series144.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ (- z t) (- a t))
97.0ms
(fma (- y x) (/ (- z t) (- a t)) x)

simplify61.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0266450
1727425
22557423
35001423

prune141.0ms

Filtered
70 candidates to 50 candidates (71.4%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New66470
Fresh21315
Picked101
Done000
Total691786

Merged error: 5.1b

Counts
86 → 17

regimes393.0ms

Accuracy

38% (5.0b remaining)

Error of 8.8b against oracle of 3.8b and baseline of 11.9b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03523
13523

end0.0ms

sample770.0ms

Algorithm
intervals
Results
302.0ms7736×body80valid
72.0ms519×body640valid
52.0ms279×body1280valid
43.0ms384×body320valid
19.0ms265×body160valid
4.0ms20×body2560valid

Profiling

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