Details

Time bar (total: 4.5s)

sample26.0ms

Algorithm
intervals
Results
9.0ms242×body80valid
2.0ms15×body640valid
1.0ms10×body320valid
1.0ms6×body1280valid
1.0ms11×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: 17.4b

Counts
2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

2.5b
(- (+ x y) (/ (* (- z t) y) (- a t)))
11.9b
(/ (* (- z t) y) (- a t))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
10×add-sqr-sqrt
7×add-exp-log add-cbrt-cube add-log-exp
5×times-frac associate-/r*
4×add-cube-cbrt distribute-lft-out--
3×flip3-- flip-- difference-of-squares
2×pow1 cbrt-undiv diff-log div-exp associate-*l/ associate-/r/ frac-sub associate-/l/
1×sub-neg frac-2neg flip3-+ prod-exp associate--l+ clear-num sum-log cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 48
Calls
2 calls:
10.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
9.0ms
(/ (* (- z t) y) (- a t))

series170.0ms

Counts
2 → 6
Calls
2 calls:
107.0ms
(- (+ x y) (/ (* (- z t) y) (- a t)))
63.0ms
(/ (* (- z t) y) (- a t))

simplify37.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0333376
11377346
25001344

prune140.0ms

Filtered
54 candidates to 39 candidates (72.2%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New411354
Fresh000
Picked101
Done000
Total421355

Merged error: 3.5b

Counts
55 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a t))
0.6b
(cbrt (- a t))
3.7b
(* (/ (- 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)))))

rewrite47.0ms

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)))))

series499.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (- a t))
147.0ms
(cbrt (- a t))
96.0ms
(* (/ (- z t) (* (cbrt (- a t)) (cbrt (- a t)))) (/ y (cbrt (- a t))))
111.0ms
(- (+ 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
07851736
133211577
250021498

prune397.0ms

Filtered
139 candidates to 104 candidates (74.8%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1336139
Fresh4812
Picked101
Done000
Total13814152

Merged error: 3.4b

Counts
152 → 14

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
2.7b
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
4.7b
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
15×cbrt-prod add-sqr-sqrt frac-times *-un-lft-identity associate-*r/
14×associate-*l* frac-sub
9×pow1 add-cube-cbrt associate-*l/ add-log-exp
8×times-frac
7×flip3-+ flip-+
6×cbrt-div
4×flip3-- flip--
3×pow-prod-down distribute-lft-out-- difference-of-squares
2×pow1/3 diff-log associate-/r/
1×sub-neg associate-*r* associate--l+ sum-log *-commutative div-inv
Counts
4 → 120
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
31.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (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))))))

series499.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(cbrt (- z t))
146.0ms
(cbrt (- z t))
98.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
109.0ms
(- (+ x y) (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

simplify93.0ms

Algorithm
egg-herbie
Counts
132 → 132
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07962499
130822071
250011925

prune344.0ms

Filtered
132 candidates to 77 candidates (58.3%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1293132
Fresh01313
Picked101
Done000
Total13016146

Merged error: 3.4b

Counts
146 → 16

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z t))
0.6b
(cbrt (- z t))
2.7b
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
6.4b
(- y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
73×add-exp-log
35×add-cbrt-cube
32×prod-exp cbrt-unprod
22×cbrt-undiv div-exp
15×cbrt-prod add-sqr-sqrt *-un-lft-identity
14×associate-*l*
9×pow1 add-cube-cbrt
8×times-frac
6×cbrt-div add-log-exp
5×frac-times associate-*r/
4×flip3-- flip--
3×pow-prod-down associate-*l/ distribute-lft-out-- difference-of-squares
2×pow1/3 associate-/r/
1×sub-neg diff-log associate-*r* *-commutative div-inv
Counts
4 → 104
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- z t))
34.0ms
(* (/ (* (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))))))

series470.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (- z t))
145.0ms
(cbrt (- z t))
97.0ms
(* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t)))))
83.0ms
(- y (* (/ (* (cbrt (- z t)) (cbrt (- z t))) (cbrt (- a t))) (* (/ (cbrt (- z t)) (cbrt (- a t))) (/ y (cbrt (- a t))))))

simplify77.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06211977
123501562
250011406

prune268.0ms

Filtered
116 candidates to 71 candidates (61.2%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1151116
Fresh11415
Picked011
Done000
Total11616132

Merged error: 3.4b

Counts
132 → 16

regimes329.0ms

Accuracy

0% (3.8b remaining)

Error of 7.7b against oracle of 3.9b and baseline of 7.7b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02020
12020

end0.0ms

sample712.0ms

Algorithm
intervals
Results
283.0ms7321×body80valid
65.0ms449×body640valid
45.0ms251×body1280valid
42.0ms373×body320valid
20.0ms280×body160valid
4.0ms18×body2560valid

Profiling

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