Details

Time bar (total: 4.1s)

analyze994.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
0%99.8%0.2%8
0%99.8%0.2%9
1.8%98%0.2%10
7.7%92.1%0.2%11
10.4%89.4%0.2%12
12.2%87.6%0.2%13
21.8%77.8%0.4%14

sample33.0ms

Algorithm
intervals
Results
8.0ms212×body80valid
2.0ms16×body640valid
1.0ms14×body320valid
1.0ms34×body80invalid
1.0ms8×body1280valid
0.0ms5×body160valid
0.0ms1×body2560valid

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
0489213
1489213

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 10.5b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t x) (- a z))
2.5b
(+ x (* (- y z) (/ (- t x) (- a z))))
4.9b
(* (- y z) (/ (- t x) (- a z)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
78×add-sqr-sqrt
73×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
23×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 flip3-- associate-*l* associate-/r* flip-- associate-/l* add-log-exp
4×associate-/r/
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 119
Calls
3 calls:
8.0ms
(/ (- t x) (- a z))
4.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
17.0ms
(* (- y z) (/ (- t x) (- a z)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(/ (- t x) (- a z))
50.0ms
(+ x (* (- y z) (/ (- t x) (- a z))))
37.0ms
(* (- y z) (/ (- t x) (- a z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051831602

prune179.0ms

Filtered
87 candidates to 128 candidates (-47.1%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New11612128
Fresh011
Picked101
Done000
Total11713130

Merged error: 2.8b

Counts
130 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
15×cbrt-prod
13×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-- pow1/3 flip-- distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 56
Calls
4 calls:
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
3.0ms
(cbrt (- a z))
7.0ms
(+ x (* (* (- y z) (* (/ (cbrt (- t x)) (cbrt (- a z))) (/ (cbrt (- t x)) (cbrt (- a z))))) (/ (cbrt (- t x)) (cbrt (- a z)))))

series132.0ms

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

simplify48.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
04988674
14988674

prune117.0ms

Filtered
52 candidates to 68 candidates (-30.8%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New68068
Fresh01212
Picked011
Done000
Total681381

Merged error: 2.8b

Counts
81 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- a z))
0.2b
(* (- t x) (/ 1 (- a z)))
4.9b
(* (- y z) (* (- t x) (/ 1 (- a z))))
5.2b
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
50×add-sqr-sqrt
44×*-un-lft-identity
32×add-exp-log times-frac
25×add-cube-cbrt
22×associate-*r*
20×frac-times add-cbrt-cube
17×flip3-- flip--
13×prod-exp
12×pow1
10×associate-*r/ associate-*l* associate-*l/
9×distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×div-exp add-log-exp
5×associate-/r*
4×pow-prod-down associate-/r/ un-div-inv
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×*-commutative div-inv
1×+-commutative pow-flip frac-2neg flip3-+ clear-num sum-log flip-+ inv-pow
Counts
4 → 146
Calls
4 calls:
6.0ms
(/ 1 (- a z))
14.0ms
(* (- t x) (/ 1 (- a z)))
15.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))
5.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

series106.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(/ 1 (- a z))
13.0ms
(* (- t x) (/ 1 (- a z)))
38.0ms
(* (- y z) (* (- t x) (/ 1 (- a z))))
50.0ms
(+ x (* (- y z) (* (- t x) (/ 1 (- a z)))))

simplify49.0ms

Algorithm
egg-herbie
Counts
158 → 158
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
057171769

prune165.0ms

Filtered
94 candidates to 158 candidates (-68.1%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1580158
Fresh01111
Picked011
Done011
Total15813171

Merged error: 2.8b

Counts
171 → 13

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- t x))
0.5b
(cbrt (- t x))
4.9b
(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
7.7b
(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
82×frac-times
76×cbrt-div
56×flip3-- flip--
38×associate-*l/
32×associate-*r/
22×add-exp-log
16×add-cbrt-cube
13×pow1 add-sqr-sqrt *-un-lft-identity
11×prod-exp cbrt-unprod
10×cbrt-prod
7×add-cube-cbrt
6×pow-prod-down add-log-exp
5×associate-*l*
3×distribute-lft-out-- difference-of-squares
2×cbrt-undiv pow1/3 div-exp
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+
Counts
4 → 121
Calls
4 calls:
3.0ms
(cbrt (- t x))
3.0ms
(cbrt (- t x))
27.0ms
(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
4.0ms
(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

series139.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(cbrt (- t x))
26.0ms
(cbrt (- t x))
37.0ms
(* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z))))
50.0ms
(+ x (* (- y z) (* (* (cbrt (- t x)) (cbrt (- t x))) (/ (cbrt (- t x)) (- a z)))))

simplify51.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050072960

prune130.0ms

Filtered
90 candidates to 133 candidates (-47.8%)
Pruning

13 alts after pruning (10 fresh and 3 done)

PrunedKeptTotal
New1330133
Fresh01010
Picked011
Done022
Total13313146

Merged error: 2.8b

Counts
146 → 13

regimes680.0ms

Accuracy

24.4% (6.3b remaining)

Error of 9.7b against oracle of 3.4b and baseline of 11.7b

bsearch43.0ms

Steps
ItersRangePoint
8
5.578169119944107e+136
2.8024569482653516e+139
7.327475892667226e+137
7
-1.4665843235166314e+154
-1.3345536152696251e+152
-6.352083952357509e+153

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06955
16955

end0.0ms

sample789.0ms

Algorithm
intervals
Results
264.0ms6614×body80valid
70.0ms449×body640valid
50.0ms285×body1280valid
46.0ms1239×body80invalid
43.0ms408×body320valid
21.0ms232×body160valid
3.0ms12×body2560valid

Profiling

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