Details

Time bar (total: 4.3s)

analyze1.0s

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

sample28.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
6.0ms64×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0689
1689

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: 0.1b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) a)
0.0b
(+ x (* y (/ (- t z) a)))
6.7b
(* y (/ (- t z) a))

rewrite20.0ms

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:
5.0ms
(/ (- t z) a)
3.0ms
(+ x (* y (/ (- t z) a)))
9.0ms
(* y (/ (- t z) a))

series38.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (- t z) a)
19.0ms
(+ x (* y (/ (- t z) a)))
12.0ms
(* y (/ (- t z) a))

simplify48.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05522890

prune124.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New87996
Fresh011
Picked101
Done000
Total881098

Merged error: 0b

Counts
98 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
0.6b
(cbrt (- t z))
1.0b
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×add-exp-log
15×cbrt-prod
14×add-sqr-sqrt *-un-lft-identity
11×add-cbrt-cube
10×cbrt-div
9×pow1
8×add-cube-cbrt prod-exp cbrt-unprod
6×associate-*r/
5×flip3-- flip--
4×add-log-exp
3×pow1/3 associate-*l* pow-prod-down distribute-lft-out-- difference-of-squares
2×cbrt-undiv frac-times div-exp associate-*l/
1×associate-*r* *-commutative
Counts
4 → 72
Calls
4 calls:
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
3.0ms
(cbrt (- t z))
17.0ms
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

series136.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(cbrt (- t z))
27.0ms
(cbrt (- t z))
29.0ms
(cbrt (- t z))
52.0ms
(* y (* (cbrt (- t z)) (/ (cbrt (- t z)) (* (cbrt a) (cbrt a)))))

simplify33.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05244913

prune115.0ms

Filtered
64 candidates to 84 candidates (-31.3%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh099
Picked011
Done000
Total841094

Merged error: 0b

Counts
94 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ a (- t z))
0.0b
(+ x (* y (/ 1 (/ a (- t z)))))
0.3b
(/ 1 (/ a (- t z)))
6.7b
(* y (/ 1 (/ a (- t z))))

rewrite53.0ms

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:
5.0ms
(/ a (- t z))
2.0ms
(+ x (* y (/ 1 (/ a (- t z)))))
9.0ms
(/ 1 (/ a (- t z)))
24.0ms
(* y (/ 1 (/ a (- t z))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ a (- t z))
20.0ms
(+ x (* y (/ 1 (/ a (- t z)))))
8.0ms
(/ 1 (/ a (- t z)))
13.0ms
(* y (/ 1 (/ a (- t z))))

simplify51.0ms

Algorithm
egg-herbie
Counts
265 → 265
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
049842815
149842815

prune223.0ms

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

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2632265
Fresh628
Picked011
Done101
Total2705275

Merged error: 0b

Counts
275 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- t z)))
6.4b
(* (/ y a) (- t z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 sub-neg add-log-exp
2×distribute-rgt-in frac-times associate-+r+ flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
3.0ms
(+ x (* (/ y a) (- t z)))
9.0ms
(* (/ y a) (- t z))

series31.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(+ x (* (/ y a) (- t z)))
13.0ms
(* (/ y a) (- t z))

simplify34.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05112583

prune53.0ms

Filtered
46 candidates to 59 candidates (-28.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New59059
Fresh033
Picked011
Done011
Total59564

Merged error: 0b

Counts
64 → 5

regimes665.0ms

Accuracy

76.8% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.6b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03049
13049

end0.0ms

analyze816.0ms

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

sample645.0ms

Algorithm
intervals
Results
261.0ms8000×body80valid
86.0ms2569×body80invalid

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