Details

Time bar (total: 7.5s)

sample27.0ms

Algorithm
intervals
Results
9.0ms231×body80valid
2.0ms14×body640valid
2.0ms10×body1280valid
1.0ms10×body320valid
1.0ms11×body160valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0226
1526
21096
31956
44456
58286
614346
725206
848306
950016

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 17.5b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
3.4b
(- (+ x y) (/ (* (- z t) y) (- a t)))
12.6b
(/ (* (- 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)))
9.0ms
(/ (* (- z t) y) (- a t))

series201.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- z t) y)
110.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
64.0ms
(/ (* (- z t) y) (- a t))

simplify47.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0383461
11704422
25001422

prune186.0ms

Filtered
79 candidates to 56 candidates (70.9%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New72779
Fresh000
Picked101
Done000
Total73780

Merged error: 3.5b

Counts
80 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- a t) y)
3.4b
(- (+ x y) (/ (- z t) (/ (- a t) y)))
7.5b
(/ (- z t) (/ (- a t) y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
203×times-frac
180×add-sqr-sqrt
176×*-un-lft-identity
87×add-cube-cbrt
45×difference-of-squares
44×distribute-lft-out--
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 flip3-- div-sub flip--
2×frac-2neg diff-log clear-num frac-sub
1×sub-neg flip3-+ associate--l+ sum-log associate-/r/ flip-+ distribute-lft-out associate--r-
Counts
3 → 197
Calls
3 calls:
5.0ms
(/ (- a t) y)
32.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
11.0ms
(/ (- z t) (/ (- a t) y))

series229.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(/ (- a t) y)
107.0ms
(- (+ x y) (/ (- z t) (/ (- a t) y)))
97.0ms
(/ (- z t) (/ (- a t) y))

simplify83.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
08531851
133261798
250011798

prune421.0ms

Filtered
206 candidates to 138 candidates (67.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2024206
Fresh156
Picked011
Done000
Total20310213

Merged error: 3.4b

Counts
213 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
3.2b
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y))))
9.5b
(- (+ x y) (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y)))))

rewrite145.0ms

Algorithm
rewrite-expression-head
Rules
525×times-frac
409×add-sqr-sqrt
373×*-un-lft-identity
288×cbrt-prod
265×associate-*r*
205×add-cube-cbrt
84×distribute-lft-out-- difference-of-squares
73×add-exp-log
39×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
16×cbrt-div
13×associate-*l*
12×unswap-sqr
9×flip3-- associate-/r/ flip-- add-log-exp
7×frac-times div-inv
6×pow1 frac-sub
5×associate-*r/ associate-*l/
3×flip3-+ flip-+
2×pow1/3 diff-log
1×sub-neg pow-prod-down associate--l+ sum-log *-commutative
Counts
4 → 382
Calls
4 calls:
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
103.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y))))
6.0ms
(- (+ x y) (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y)))))

series780.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(cbrt (- a t))
144.0ms
(cbrt (- a t))
361.0ms
(* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y))))
133.0ms
(- (+ x y) (* (/ (* (cbrt y) (cbrt y)) (* (cbrt (- a t)) (cbrt (- a t)))) (/ (- z t) (/ (cbrt (- a t)) (cbrt y)))))

simplify104.0ms

Algorithm
egg-herbie
Counts
394 → 394
Iterations

Useful iterations: 1 (47.0ms)

IterNodesCost
022817251
150026880

prune1.2s

Filtered
394 candidates to 275 candidates (69.8%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New3931394
Fresh088
Picked011
Done011
Total39311404

Merged error: 3.4b

Counts
404 → 11

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
2.7b
(/ (cbrt (- z t)) (/ (- a t) y))
5.0b
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (/ (- a t) y)))
8.8b
(- (+ x y) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (/ (- a t) y))))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
565×times-frac
430×add-sqr-sqrt
419×*-un-lft-identity
237×add-cube-cbrt
202×cbrt-prod
157×associate-*r*
91×distribute-lft-out-- difference-of-squares
76×cbrt-div
48×frac-times
39×flip3-- flip--
36×associate-*l/
34×frac-sub
30×add-exp-log
19×associate-/r* div-inv
18×add-cbrt-cube
17×flip3-+ flip-+
15×associate-*r/
9×pow1 cbrt-undiv div-exp prod-exp cbrt-unprod add-log-exp
8×associate-/l*
5×unswap-sqr
3×pow-prod-down
2×diff-log associate-/r/ associate-/l/
1×sub-neg frac-2neg pow1/3 associate-*l* associate--l+ clear-num sum-log *-commutative
Counts
4 → 461
Calls
4 calls:
3.0ms
(cbrt (- z t))
12.0ms
(/ (cbrt (- z t)) (/ (- a t) y))
48.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (/ (- a t) y)))
10.0ms
(- (+ x y) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (/ (- a t) y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- z t))
901.0ms
(/ (cbrt (- z t)) (/ (- a t) y))
96.0ms
(* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (/ (- a t) y)))
108.0ms
(- (+ x y) (* (* (cbrt (- z t)) (cbrt (- z t))) (/ (cbrt (- z t)) (/ (- a t) y))))

simplify103.0ms

Algorithm
egg-herbie
Counts
473 → 473
Iterations

Useful iterations: 1 (39.0ms)

IterNodesCost
020127043
150016896

prune1.2s

Filtered
473 candidates to 327 candidates (69.1%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New4730473
Fresh088
Picked011
Done022
Total47311484

Merged error: 3.4b

Counts
484 → 11

regimes249.0ms

Accuracy

14.7% (5.9b remaining)

Error of 9.8b against oracle of 4.0b and baseline of 10.8b

bsearch86.0ms

Steps
ItersRangePoint
10
1.3827017102221755e-53
5.521319545925935e-43
1.5442706892806291e-53
5
-3.9171571748939474e-162
-1.1082347829841037e-162
-3.6101465856808473e-162

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03327
13327

end0.0ms

sample757.0ms

Algorithm
intervals
Results
291.0ms7353×body80valid
69.0ms434×body640valid
54.0ms257×body1280valid
44.0ms403×body320valid
19.0ms256×body160valid
4.0ms18×body2560valid

Profiling

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