Details

Time bar (total: 3.9s)

analyze990.0ms

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
0%99.8%0.2%10
13.2%86.5%0.2%11
16.8%83%0.2%12
22.7%77.1%0.2%13
24.1%74.7%1.3%14

sample26.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms70×body80invalid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
07189
17189

prune18.0ms

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: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* y (/ (- t z) a)))
0.0b
(/ (- t z) a)
6.9b
(* y (/ (- t z) a))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
37×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+
Counts
3 → 87
Calls
3 calls:
3.0ms
(+ x (* y (/ (- t z) a)))
6.0ms
(/ (- t z) a)
9.0ms
(* y (/ (- t z) a))

series33.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ x (* y (/ (- t z) a)))
6.0ms
(/ (- t z) a)
11.0ms
(* y (/ (- t z) a))

simplify53.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05883889

prune116.0ms

Filtered
66 candidates to 96 candidates (-45.5%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New90696
Fresh011
Picked011
Done000
Total90898

Merged error: 0.0b

Counts
98 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
1.5b
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×associate-*r/
4×cbrt-div add-log-exp
3×pow1/3 associate-*l* pow-prod-down
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ flip--
1×associate-*r* *-commutative
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
14.0ms
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

series109.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt a)
20.0ms
(cbrt a)
20.0ms
(cbrt a)
49.0ms
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

simplify68.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04927624
14927624

prune94.0ms

Filtered
49 candidates to 72 candidates (-46.9%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New71172
Fresh066
Picked011
Done011
Total71980

Merged error: 0b

Counts
80 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt a)
0.6b
(cbrt a)
0.6b
(cbrt a)
1.5b
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
11×add-cbrt-cube
9×pow1 cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
6×associate-*r/
4×cbrt-div add-log-exp
3×pow1/3 associate-*l* pow-prod-down
2×cbrt-undiv frac-times flip3-- div-exp associate-*l/ flip--
1×associate-*r* *-commutative
Counts
4 → 60
Calls
4 calls:
1.0ms
(cbrt a)
1.0ms
(cbrt a)
1.0ms
(cbrt a)
16.0ms
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

series109.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt a)
22.0ms
(cbrt a)
20.0ms
(cbrt a)
47.0ms
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

simplify93.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
04927624
14927624

prune167.0ms

Filtered
49 candidates to 72 candidates (-46.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New72072
Fresh066
Picked011
Done022
Total72981

Merged error: 0b

Counts
81 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ 1 (/ a (- t z)))))
0.0b
(/ a (- t z))
0.6b
(/ 1 (/ a (- t z)))
6.9b
(* y (/ 1 (/ a (- t z))))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
252×times-frac
186×add-sqr-sqrt
174×*-un-lft-identity
122×add-cube-cbrt
68×associate-*r*
36×add-exp-log
26×associate-/r*
25×distribute-lft-out-- difference-of-squares
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
8×flip3-- flip--
7×pow1 cbrt-undiv prod-exp
6×associate-/l* add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num
1×+-commutative pow-flip flip3-+ associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 253
Calls
4 calls:
3.0ms
(+ x (* y (/ 1 (/ a (- t z)))))
5.0ms
(/ a (- t z))
8.0ms
(/ 1 (/ a (- t z)))
36.0ms
(* y (/ 1 (/ a (- t z))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(+ x (* y (/ 1 (/ a (- t z)))))
7.0ms
(/ a (- t z))
7.0ms
(/ 1 (/ a (- t z)))
15.0ms
(* y (/ 1 (/ a (- t z))))

simplify53.0ms

Algorithm
egg-herbie
Counts
265 → 265
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
049882814
149882814

prune219.0ms

Filtered
168 candidates to 265 candidates (-57.7%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2632265
Fresh415
Picked101
Done123
Total2695274

Merged error: 0b

Counts
274 → 5

regimes700.0ms

Accuracy

67.7% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 2.2b

bsearch44.0ms

Steps
ItersRangePoint
11
3.5355121112058454e+43
1.1988926774741487e+67
2.005948570374616e+44
6
-1.4110466450127143e+45
-1.3066163193038167e+44
-1.3310950803255804e+44

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
019027
119027

end0.0ms

sample697.0ms

Algorithm
intervals
Results
286.0ms8000×body80valid
87.0ms2556×body80invalid

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