Details

Time bar (total: 3.6s)

analyze1.1s

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

sample24.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
2.0ms73×body80invalid

simplify32.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
07189
17189

prune17.0ms

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
(* y (- z t))
0.0b
(- x (/ (* y (- z t)) a))
5.4b
(/ (* y (- z t)) a)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×sub-neg flip3-- times-frac associate-*l* associate-/r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod associate-/l/ distribute-lft-out-- difference-of-squares
1×distribute-rgt-in frac-2neg distribute-lft-in diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 60
Calls
3 calls:
12.0ms
(* y (- z t))
9.0ms
(- x (/ (* y (- z t)) a))
11.0ms
(/ (* y (- z t)) a)

series34.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* y (- z t))
15.0ms
(- x (/ (* y (- z t)) a))
12.0ms
(/ (* y (- z t)) a)

simplify38.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05000603

prune90.0ms

Filtered
47 candidates to 69 candidates (-46.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New64569
Fresh011
Picked011
Done000
Total64771

Merged error: 0b

Counts
71 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (/ y a) (- t z)))
9.3b
(* (/ y a) (- t z))

rewrite15.0ms

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)))
10.0ms
(* (/ y a) (- t z))

series30.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ x (* (/ y a) (- t z)))
12.0ms
(* (/ y a) (- t z))

simplify32.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
05011583

prune100.0ms

Filtered
45 candidates to 59 candidates (-31.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New58159
Fresh145
Picked011
Done011
Total59766

Merged error: 0b

Counts
66 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.2b
(* (- t z) (/ (cbrt y) a))
4.0b
(* (/ (* (cbrt y) (cbrt y)) 1) (* (- t z) (/ (cbrt y) a)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
32×add-sqr-sqrt
24×*-un-lft-identity
23×times-frac associate-*r*
22×add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
12×associate-*l*
11×pow1 frac-times
10×cbrt-undiv
8×associate-*r/
7×associate-*l/
6×flip3-- 1-exp flip--
4×pow-prod-down add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×distribute-lft-out-- difference-of-squares
Counts
4 → 123
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
11.0ms
(* (- t z) (/ (cbrt y) a))
14.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (- t z) (/ (cbrt y) a)))

series92.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
31.0ms
(* (- t z) (/ (cbrt y) a))
19.0ms
(* (/ (* (cbrt y) (cbrt y)) 1) (* (- t z) (/ (cbrt y) a)))

simplify86.0ms

Algorithm
egg-herbie
Counts
135 → 135
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
050291143

prune116.0ms

Filtered
87 candidates to 135 candidates (-55.2%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1350135
Fresh044
Picked011
Done022
Total1357142

Merged error: 0b

Counts
142 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ y (/ a (- z t))))
7.1b
(/ y (/ a (- z t)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
126×times-frac
93×add-sqr-sqrt
86×*-un-lft-identity
60×add-cube-cbrt
21×associate-/r*
15×difference-of-squares
13×distribute-lft-out--
9×associate-/r/
7×add-exp-log add-cbrt-cube
5×flip3-- flip-- div-inv
4×add-log-exp
3×cbrt-undiv div-exp associate-/l*
2×pow1
1×sub-neg frac-2neg diff-log clear-num
Counts
2 → 117
Calls
2 calls:
20.0ms
(- x (/ y (/ a (- z t))))
8.0ms
(/ y (/ a (- z t)))

series29.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(- x (/ y (/ a (- z t))))
12.0ms
(/ y (/ a (- z t)))

simplify44.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
050571769

prune96.0ms

Filtered
94 candidates to 123 candidates (-30.9%)
Pruning

7 alts after pruning (3 fresh and 4 done)

PrunedKeptTotal
New1230123
Fresh033
Picked011
Done033
Total1237130

Merged error: 0b

Counts
130 → 7

regimes882.0ms

Accuracy

79.5% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 2.3b

bsearch0.0ms

simplify4.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
021535
121535

end0.0ms

sample669.0ms

Algorithm
intervals
Results
277.0ms8000×body80valid
80.0ms2516×body80invalid

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