Details

Time bar (total: 6.9s)

sample40.0ms

Algorithm
intervals
Results
15.0ms247×body80valid
3.0ms11×body1280valid
2.0ms10×body640valid
2.0ms10×body320valid
0.0ms2×body160valid

simplify114.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 14.7b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
0.3b
(- (+ x y) (/ (* (- z t) y) (- a t)))
11.0b
(/ (* (- 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))

series201.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (- z t) y)
110.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
63.0ms
(/ (* (- z t) y) (- a t))

simplify46.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0383461
11704422
25001422

prune179.0ms

Filtered
79 candidates to 56 candidates (70.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New70979
Fresh000
Picked101
Done000
Total71980

Merged error: 3.3b

Counts
80 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
4.6b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
5.4b
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite44.0ms

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))
27.0ms
(* (/ (- 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)))))

series505.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(cbrt (- a t))
145.0ms
(cbrt (- a t))
95.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
122.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify90.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
07851736
133211577
250021498

prune374.0ms

Filtered
139 candidates to 104 candidates (74.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1372139
Fresh268
Picked101
Done000
Total1408148

Merged error: 3.3b

Counts
148 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))
2.8b
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))
3.4b
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
150×add-sqr-sqrt
122×cbrt-prod
118×times-frac
98×*-un-lft-identity
85×add-exp-log
84×associate-*l*
56×add-cube-cbrt
41×add-cbrt-cube
36×prod-exp cbrt-unprod
31×associate-*r*
26×cbrt-undiv div-exp
21×distribute-lft-out-- difference-of-squares
16×frac-times associate-*r/
15×unswap-sqr
14×frac-sub
11×pow1
10×associate-*l/
9×add-log-exp
8×cbrt-div
7×flip3-+ flip-+
6×associate-/r/
5×flip3-- flip--
4×pow-prod-down
3×div-inv
2×diff-log *-commutative
1×sub-neg pow1/3 associate--l+ sum-log
Counts
4 → 240
Calls
4 calls:
3.0ms
(cbrt (- a t))
45.0ms
(* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))
7.0ms
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))
35.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))

series1.3s

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- a t))
951.0ms
(* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))
114.0ms
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))
102.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
012564077
150013601

prune748.0ms

Filtered
252 candidates to 176 candidates (69.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New2493252
Fresh077
Picked101
Done000
Total25010260

Merged error: 3.0b

Counts
260 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))
3.4b
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
6.2b
(- y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

rewrite99.0ms

Algorithm
rewrite-expression-head
Rules
150×add-sqr-sqrt
122×cbrt-prod
118×times-frac
98×*-un-lft-identity
85×add-exp-log
84×associate-*l*
56×add-cube-cbrt
41×add-cbrt-cube
36×prod-exp cbrt-unprod
31×associate-*r*
26×cbrt-undiv div-exp
21×distribute-lft-out-- difference-of-squares
15×unswap-sqr
11×pow1
8×cbrt-div
6×frac-times associate-*r/ associate-/r/ add-log-exp
5×flip3-- flip--
4×pow-prod-down associate-*l/
3×div-inv
2×*-commutative
1×sub-neg pow1/3 diff-log
Counts
4 → 224
Calls
4 calls:
3.0ms
(cbrt (- a t))
48.0ms
(* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))
33.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
3.0ms
(- y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

series1.3s

Counts
4 → 12
Calls
4 calls:
153.0ms
(cbrt (- a t))
954.0ms
(* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))
106.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
88.0ms
(- y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

simplify113.0ms

Algorithm
egg-herbie
Counts
236 → 236
Iterations

Useful iterations: 2 (87.0ms)

IterNodesCost
010813555
142813092
250012946

prune637.0ms

Filtered
236 candidates to 160 candidates (67.8%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2360236
Fresh099
Picked011
Done000
Total23610246

Merged error: 3.0b

Counts
246 → 10

regimes215.0ms

Accuracy

0% (3.7b remaining)

Error of 7.7b against oracle of 4.0b and baseline of 7.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02020
12020

end0.0ms

sample657.0ms

Algorithm
intervals
Results
242.0ms7379×body80valid
56.0ms462×body640valid
38.0ms256×body1280valid
37.0ms390×body320valid
18.0ms254×body160valid
2.0ms13×body2560valid