Details

Time bar (total: 10.0s)

sample3.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.427246%

Guaranteed chance to sample good point: 33.639819%

Results
9.0ms207×body80valid
2.0ms15×body640valid
2.0ms16×body320valid
2.0ms8×body1280valid
1.0ms24×body80invalid
1.0ms9×body160valid
0.0ms1×body2560valid

simplify120.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0226
1526
21096
31956
44456
58286
614346
725206
848306
950016

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.8b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
2.0b
(- (+ x y) (/ (* (- z t) y) (- a t)))
10.9b
(/ (* (- z t) y) (- a t))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
17×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
8×add-log-exp
7×add-cube-cbrt
5×pow1 times-frac associate-*l* associate-/r* distribute-lft-out--
4×flip3-- associate-*l/ flip-- difference-of-squares
3×associate-*r*
2×cbrt-undiv diff-log div-exp prod-exp associate-/r/ frac-sub cbrt-unprod associate-/l/
1×sub-neg frac-2neg flip3-+ pow-prod-down associate--l+ clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 70
Calls
3 calls:
6.0ms
(* (- z t) y)
9.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
8.0ms
(/ (* (- z t) y) (- a t))

series60.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (- z t) y)
34.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
19.0ms
(/ (* (- z t) y) (- a t))

simplify45.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0383461
11704422
25001422

prune130.0ms

Filtered
56 candidates to 79 candidates (-41.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New71879
Fresh000
Picked101
Done000
Total72880

Merged error: 4.4b

Counts
80 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
4.2b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
7.4b
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
51×add-sqr-sqrt
36×times-frac
35×*-un-lft-identity
30×associate-*r*
27×cbrt-prod
25×add-exp-log
23×add-cube-cbrt
18×cbrt-div add-cbrt-cube
17×associate-*l*
10×flip3-- associate-/r/ flip--
9×add-log-exp
8×prod-exp cbrt-unprod
7×cbrt-undiv frac-times div-exp
6×pow1 frac-sub distribute-lft-out-- difference-of-squares unswap-sqr
5×associate-*r/ associate-*l/
3×flip3-+ flip-+
2×pow1/3 diff-log div-inv
1×sub-neg pow-prod-down associate--l+ sum-log *-commutative
Counts
4 → 127
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
28.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
6.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

series113.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- a t))
27.0ms
(cbrt (- a t))
21.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
38.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify87.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07931744
133531585
250011502

prune195.0ms

Filtered
105 candidates to 139 candidates (-32.4%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New1345139
Fresh167
Picked101
Done000
Total13611147

Merged error: 4.4b

Counts
147 → 11

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
1.3b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
9.3b
(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
36×cbrt-div
26×add-sqr-sqrt
22×add-cbrt-cube
19×frac-times
17×associate-*l*
16×*-un-lft-identity times-frac associate-*r* associate-/r/
15×flip3-- associate-*l/ prod-exp flip-- cbrt-unprod
14×frac-sub
13×cbrt-prod
12×cbrt-undiv div-exp
11×associate-*r/
10×add-cube-cbrt
9×add-log-exp
7×flip3-+ flip-+
6×pow1 unswap-sqr
3×distribute-lft-out-- difference-of-squares
2×pow1/3 diff-log div-inv
1×sub-neg pow-prod-down associate--l+ sum-log *-commutative
Counts
4 → 127
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
26.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
8.0ms
(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

series192.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- a t))
25.0ms
(cbrt (- a t))
97.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t))))))
44.0ms
(- (+ x y) (* (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (* (cbrt y) (cbrt y)) (cbrt (* (cbrt (- a t)) (cbrt (- a t)))))) (/ (cbrt y) (cbrt (cbrt (- a t))))))

simplify132.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
011363050
145462732
250012730

prune260.0ms

Filtered
113 candidates to 139 candidates (-23.0%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1381139
Fresh01010
Picked011
Done000
Total13812150

Merged error: 4.4b

Counts
150 → 12

localize9.0ms

Local error

Found 2 expressions with local error:

4.0b
(- (+ x y) (/ (- z t) (/ (- a t) y)))
12.4b
(/ (- z t) (/ (- a t) y))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
188×times-frac
161×add-sqr-sqrt
157×*-un-lft-identity
76×add-cube-cbrt
41×difference-of-squares
40×distribute-lft-out--
19×associate-/r*
7×add-exp-log add-cbrt-cube div-inv add-log-exp
5×associate-/l*
3×cbrt-undiv div-exp
2×pow1 flip3-- diff-log div-sub frac-sub flip-- associate-/l/
1×sub-neg frac-2neg flip3-+ associate--l+ clear-num sum-log associate-/r/ flip-+ distribute-lft-out associate--r-
Counts
2 → 159
Calls
2 calls:
32.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
13.0ms
(/ (- z t) (/ (- a t) y))

series59.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
24.0ms
(/ (- z t) (/ (- a t) y))

simplify75.0ms

Algorithm
egg-herbie
Counts
165 → 165
Iterations

Useful iterations: 1 (17.0ms)

IterNodesCost
08101655
130231611
250011611

prune123.0ms

Filtered
109 candidates to 165 candidates (-51.4%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1614165
Fresh3710
Picked101
Done011
Total16512177

Merged error: 4.3b

Counts
177 → 12

regimes635.0ms

Accuracy

17.8% (4.3b remaining)

Error of 8.1b against oracle of 3.9b and baseline of 9.1b

bsearch67.0ms

Steps
ItersRangePoint
8
4.709332876853633e-147
1.6105679502851109e-142
3.481911520338913e-146
11
-8.230552508895292e-94
-5.4581811839924685e-117
-5.517816253189345e-117

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269
1269

end0.0ms

sample4.2s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 0.427246%

Guaranteed chance to sample good point: 33.639819%

Results
298.0ms6647×body80valid
76.0ms460×body640valid
50.0ms242×body1280valid
46.0ms392×body320valid
35.0ms761×body80invalid
19.0ms241×body160valid
4.0ms18×body2560valid

Profiling

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