Details

Time bar (total: 7.3s)

sample30.0ms

Algorithm
intervals
Results
9.0ms237×body80valid
3.0ms17×body640valid
1.0ms9×body320valid
1.0ms4×body1280valid
1.0ms9×body160valid
0.0ms1×body2560valid

simplify112.0ms

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: 15.3b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- z t) y)
1.9b
(- (+ x y) (/ (* (- z t) y) (- a t)))
11.0b
(/ (* (- z t) y) (- a t))

rewrite27.0ms

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)
10.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms
(/ (* (- z t) y) (- a t))

series202.0ms

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))

simplify45.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0383461
11704422
25001422

prune224.0ms

Filtered
79 candidates to 56 candidates (70.9%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New691079
Fresh000
Picked101
Done000
Total701080

Merged error: 3.7b

Counts
80 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
2.4b
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
7.3b
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

rewrite48.0ms

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))
30.0ms
(* (/ (- 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)))))

series693.0ms

Counts
4 → 12
Calls
4 calls:
322.0ms
(cbrt (- a t))
154.0ms
(cbrt (- a t))
103.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
114.0ms
(- (+ x y) (* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t)))))

simplify86.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
07851736
133211577
250021498

prune402.0ms

Filtered
139 candidates to 105 candidates (75.5%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1354139
Fresh189
Picked011
Done000
Total13613149

Merged error: 3.7b

Counts
149 → 13

localize16.0ms

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))))
1.5b
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
2.4b
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

rewrite108.0ms

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))
48.0ms
(* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))
32.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
10.0ms
(- (+ x 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))
930.0ms
(* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))
98.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
113.0ms
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

simplify61.0ms

Algorithm
egg-herbie
Counts
252 → 252
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012564077
150013601

prune803.0ms

Filtered
252 candidates to 176 candidates (69.8%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New2493252
Fresh2911
Picked101
Done011
Total25213265

Merged error: 3.5b

Counts
265 → 13

localize21.0ms

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))))
1.5b
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
5.5b
(- y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

rewrite100.0ms

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))
49.0ms
(* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))
32.0ms
(* (/ (* (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:
143.0ms
(cbrt (- a t))
942.0ms
(* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))
99.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
85.0ms
(- y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

simplify122.0ms

Algorithm
egg-herbie
Counts
236 → 236
Iterations

Useful iterations: 2 (88.0ms)

IterNodesCost
010813555
142813092
250012946

prune684.0ms

Filtered
236 candidates to 160 candidates (67.8%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New2351236
Fresh11011
Picked011
Done011
Total23613249

Merged error: 3.5b

Counts
249 → 13

regimes274.0ms

Accuracy

0% (4.2b remaining)

Error of 8.1b against oracle of 3.8b and baseline of 8.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02020
12020

end0.0ms

sample669.0ms

Algorithm
intervals
Results
239.0ms7347×body80valid
61.0ms491×body640valid
43.0ms271×body1280valid
34.0ms381×body320valid
18.0ms246×body160valid
1.0ms8×body2560valid