Details

Time bar (total: 6.0s)

sample28.0ms

Algorithm
intervals
Results
9.0ms247×body80valid
2.0ms17×body640valid
2.0ms10×body1280valid
1.0ms10×body320valid
1.0ms14×body160valid
0.0ms1×body2560valid

simplify133.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 2 (12.0ms)

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: 12.0b

Counts
2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y x) (- a t))
15.0b
(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
5×associate-/r* associate-/l*
4×add-exp-log add-cbrt-cube
2×pow1 expm1-log1p-u flip3-- associate-/r/ flip-- log1p-expm1-u associate-/l/ add-log-exp
1×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)

series160.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(/ (- y x) (- a t))
99.0ms
(fma (/ (- y x) (- a t)) (- z t) x)

simplify106.0ms

Algorithm
egg-herbie
Counts
70 → 70
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0267450
1731425
22484423
35001423

prune179.0ms

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: 7.9b

Counts
72 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (- a t))
0.0b
(/ x (- a t))
0.5b
(- (/ y (- a t)) (/ x (- a t)))
15.0b
(fma (- (/ y (- a t)) (/ x (- a t))) (- z t) x)

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
819×*-un-lft-identity
797×add-sqr-sqrt
693×times-frac
459×add-cube-cbrt
441×prod-diff
177×distribute-lft-out--
167×difference-of-squares
138×associate-/r*
121×frac-sub
94×associate-/r/
72×associate-/l*
48×flip3-- flip--
47×div-inv
26×frac-2neg
24×clear-num
21×fma-neg
13×sub-div
8×add-exp-log add-cbrt-cube
6×add-log-exp
4×pow1 expm1-log1p-u log1p-expm1-u
3×distribute-rgt-out--
2×cbrt-undiv div-exp
1×sub-neg diff-log fma-udef
Counts
4 → 713
Calls
4 calls:
6.0ms
(/ y (- a t))
6.0ms
(/ x (- a t))
54.0ms
(- (/ y (- a t)) (/ x (- a t)))
1.0ms
(fma (- (/ y (- a t)) (/ x (- a t))) (- z t) x)

series315.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ y (- a t))
33.0ms
(/ x (- a t))
131.0ms
(- (/ y (- a t)) (/ x (- a t)))
120.0ms
(fma (- (/ y (- a t)) (/ x (- a t))) (- z t) x)

simplify240.0ms

Algorithm
egg-herbie
Counts
725 → 725
Iterations

Useful iterations: 1 (80.0ms)

IterNodesCost
0217417580
1500113792

prune1.6s

Filtered
725 candidates to 341 candidates (47.0%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New71411725
Fresh11415
Picked101
Done000
Total72615741

Merged error: 7.9b

Counts
741 → 15

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a t))
0.0b
(/ x (- a t))
0.4b
(fma y (/ 1 (- a t)) (- (/ x (- a t))))
15.0b
(fma (fma y (/ 1 (- a t)) (- (/ x (- a t)))) (- z t) x)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt *-un-lft-identity
30×times-frac
24×add-cube-cbrt
10×add-exp-log associate-/r*
8×add-cbrt-cube distribute-lft-out-- difference-of-squares
6×associate-/l*
5×pow1
4×expm1-log1p-u associate-/r/ log1p-expm1-u add-log-exp
3×div-exp
2×cbrt-undiv flip3-- frac-2neg clear-num flip-- fma-udef div-inv
1×rec-exp pow-flip 1-exp inv-pow
Counts
4 → 102
Calls
4 calls:
6.0ms
(/ 1 (- a t))
6.0ms
(/ x (- a t))
1.0ms
(fma y (/ 1 (- a t)) (- (/ x (- a t))))
1.0ms
(fma (fma y (/ 1 (- a t)) (- (/ x (- a t)))) (- z t) x)

series330.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ 1 (- a t))
38.0ms
(/ x (- a t))
130.0ms
(fma y (/ 1 (- a t)) (- (/ x (- a t))))
122.0ms
(fma (fma y (/ 1 (- a t)) (- (/ x (- a t)))) (- z t) x)

simplify107.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0266606
1819545
22370520
35002520

prune273.0ms

Filtered
114 candidates to 74 candidates (64.9%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh21214
Picked011
Done000
Total11415129

Merged error: 7.9b

Counts
129 → 15

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
14.8b
(fma (- (/ y (- a t)) (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ x (cbrt (- a t))))) (- z t) x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×fma-udef
Counts
4 → 61
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
1.0ms
(fma (- (/ y (- a t)) (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ x (cbrt (- a t))))) (- z t) x)

series638.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt (- a t))
173.0ms
(cbrt (- a t))
179.0ms
(cbrt (- a t))
118.0ms
(fma (- (/ y (- a t)) (* (/ 1 (* (cbrt (- a t)) (cbrt (- a t)))) (/ x (cbrt (- a t))))) (- z t) x)

simplify81.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 3 (72.0ms)

IterNodesCost
0198558
1463512
21550501
35001477

prune251.0ms

Filtered
73 candidates to 65 candidates (89.0%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New68573
Fresh21113
Picked101
Done011
Total711788

Merged error: 7.9b

Counts
88 → 17

regimes551.0ms

Accuracy

64.3% (3.0b remaining)

Error of 9.9b against oracle of 6.9b and baseline of 15.3b

bsearch3.0ms

simplify6.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05570
16370
26970
36970

end0.0ms

sample736.0ms

Algorithm
intervals
Results
276.0ms7738×body80valid
71.0ms508×body640valid
42.0ms265×body1280valid
41.0ms430×body320valid
23.0ms299×body160valid
4.0ms19×body2560valid