Details

Time bar (total: 8.2s)

analyze1.0s

Algorithm
search

sample34.0ms

Algorithm
intervals
Results
13.0ms212×body80valid
2.0ms17×body640valid
2.0ms10×body1280valid
2.0ms36×body80invalid
1.0ms9×body320valid
1.0ms8×body160valid

simplify64.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1456
21116
32886
47146
514986
634106
750016

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 22.5b

Counts
2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (- t x))
2.3b
(+ x (/ (* (- y z) (- t x)) (- a z)))
15.0b
(/ (* (- y z) (- t x)) (- a z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt *-un-lft-identity
13×flip3-- flip--
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 times-frac associate-*r* associate-*l* associate-/r* add-log-exp
4×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
2×cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
3 → 81
Calls
3 calls:
9.0ms
(* (- y z) (- t x))
7.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
12.0ms
(/ (* (- y z) (- t x)) (- a z))

series94.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(* (- y z) (- t x))
48.0ms
(+ x (/ (* (- y z) (- t x)) (- a z)))
36.0ms
(/ (* (- y z) (- t x)) (- a z))

simplify56.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0466583
12158534
25001534

prune138.0ms

Filtered
67 candidates to 90 candidates (-34.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New82890
Fresh000
Picked101
Done000
Total83891

Merged error: 4.9b

Counts
91 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.4b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
8.6b
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
59×*-un-lft-identity
52×times-frac
46×associate-*r*
37×cbrt-prod
27×add-cube-cbrt
25×add-exp-log
18×cbrt-div add-cbrt-cube
17×associate-*l*
16×distribute-lft-out-- difference-of-squares
10×associate-/r/
9×flip3-- flip--
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 add-log-exp unswap-sqr
5×frac-times
3×associate-*r/ associate-*l/
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 134
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
38.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
3.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

series158.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- a z))
28.0ms
(cbrt (- a z))
53.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z))))
52.0ms
(+ x (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (- t x) (cbrt (- a z)))))

simplify91.0ms

Algorithm
egg-herbie
Counts
146 → 146
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
07521839
133201671
250011580

prune197.0ms

Filtered
103 candidates to 146 candidates (-41.7%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1388146
Fresh167
Picked101
Done000
Total14014154

Merged error: 4.8b

Counts
154 → 14

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
0.6b
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
8.6b
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
40×add-exp-log
36×cbrt-div
26×add-sqr-sqrt
22×add-cbrt-cube
17×associate-*l*
16×*-un-lft-identity times-frac associate-*r* associate-/r/
15×prod-exp cbrt-unprod
14×flip3-- flip--
13×cbrt-prod
12×cbrt-undiv div-exp
10×add-cube-cbrt
9×frac-times
6×pow1 add-log-exp unswap-sqr
5×associate-*r/ associate-*l/
3×distribute-lft-out-- difference-of-squares
2×pow1/3 div-inv
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 110
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
30.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
3.0ms
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

series214.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt (- a z))
27.0ms
(cbrt (- a z))
112.0ms
(* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))))
51.0ms
(+ x (* (* (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (/ (* (cbrt (- t x)) (cbrt (- t x))) (cbrt (* (cbrt (- a z)) (cbrt (- a z)))))) (/ (cbrt (- t x)) (cbrt (cbrt (- a z))))))

simplify88.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
08892531
133872166
250012124

prune197.0ms

Filtered
91 candidates to 122 candidates (-34.1%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1202122
Fresh21113
Picked011
Done000
Total12214136

Merged error: 4.8b

Counts
136 → 14

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- a z))
0.6b
(cbrt (- a z))
1.9b
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
7.4b
(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

rewrite118.0ms

Algorithm
rewrite-expression-head
Rules
182×times-frac
166×add-sqr-sqrt
115×cbrt-prod
103×*-un-lft-identity
80×associate-*l*
76×cbrt-div
61×associate-*r*
59×add-cube-cbrt
42×associate-/r/
36×add-exp-log
33×flip3-- flip--
22×add-cbrt-cube distribute-lft-out-- difference-of-squares
21×frac-times
20×unswap-sqr
14×cbrt-undiv div-exp
11×associate-*r/ associate-*l/
10×prod-exp cbrt-unprod
6×pow1 div-inv add-log-exp
2×pow1/3
1×+-commutative flip3-+ pow-prod-down sum-log *-commutative flip-+
Counts
4 → 230
Calls
4 calls:
6.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
91.0ms
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
3.0ms
(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

series161.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- a z))
26.0ms
(cbrt (- a z))
58.0ms
(* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z)))))
49.0ms
(+ x (* (/ (/ (- y z) (* (cbrt (- a z)) (cbrt (- a z)))) (cbrt (* (cbrt (- a z)) (cbrt (- a z))))) (/ (- t x) (cbrt (cbrt (- a z))))))

simplify67.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
013514970
150024731

prune269.0ms

Filtered
201 candidates to 242 candidates (-20.4%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New2420242
Fresh01212
Picked011
Done011
Total24214256

Merged error: 4.8b

Counts
256 → 14

regimes623.0ms

Accuracy

16.4% (6.8b remaining)

Error of 11.0b against oracle of 4.1b and baseline of 12.3b

bsearch2.5s

Steps
ItersRangePoint
8
2.501239233122234e-198
2.0905745917685818e-194
1.3975080208679037e-195
6
-1.7210014106935538e-199
-2.956082048447061e-200
-1.7004635913660292e-199

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04359
14359

end0.0ms

analyze1.0s

Algorithm
search

sample814.0ms

Algorithm
intervals
Results
263.0ms6528×body80valid
74.0ms460×body640valid
55.0ms307×body1280valid
47.0ms1232×body80invalid
43.0ms401×body320valid
24.0ms284×body160valid
4.0ms20×body2560valid

Profiling

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