Details

Time bar (total: 3.8s)

analyze920.0ms

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
6.2%93.6%0.2%9
9.4%90.4%0.2%10
12.5%85.6%1.9%11
19.8%76.5%3.7%12
26.1%64.4%9.6%13
31.7%54.5%13.7%14

sample145.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
3.0ms90×body80invalid

simplify104.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1284
2804
32544
46414
510664
623734
739144
850014

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (- y z) (- t x))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×*-un-lft-identity
6×flip3-- flip--
5×associate-*r* associate-*l*
4×frac-times
3×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
1×pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 34
Calls
1 calls:
11.0ms
(* (- y z) (- t x))

series10.0ms

Counts
1 → 3
Calls
1 calls:
10.0ms
(* (- y z) (- t x))

simplify35.0ms

Algorithm
egg-herbie
Counts
37 → 37
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0218207
1960193
25002193

prune54.0ms

Filtered
26 candidates to 37 candidates (-42.3%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New34337
Fresh000
Picked101
Done000
Total35338

Merged error: 0.0b

Counts
38 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y z) (neg x))
0.0b
(* (- y z) t)
0.0b
(+ (* (- y z) t) (* (- y z) (neg x)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
12×associate-*l/
10×associate-*l*
9×add-cube-cbrt
7×pow1 add-exp-log add-cbrt-cube
6×flip3-- flip--
5×add-log-exp
4×frac-add
3×distribute-lft-neg-in distribute-rgt-neg-in distribute-rgt-neg-out
2×pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative neg-mul-1 flip3-+ unsub-neg sum-log flip-+ distribute-lft-out
Counts
3 → 70
Calls
3 calls:
8.0ms
(* (- y z) (neg x))
6.0ms
(* (- y z) t)
8.0ms
(+ (* (- y z) t) (* (- y z) (neg x)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* (- y z) (neg x))
7.0ms
(* (- y z) t)
13.0ms
(+ (* (- y z) t) (* (- y z) (neg x)))

simplify59.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
0385436
11726385
25001379

prune87.0ms

Filtered
63 candidates to 79 candidates (-25.4%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New79079
Fresh022
Picked011
Done000
Total79382

Merged error: 0.0b

Counts
82 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

1.8b
(- (* y y) (* z z))
5.5b
(* (- (* y y) (* z z)) (- t x))
18.6b
(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
13×flip3-- *-un-lft-identity flip--
11×add-sqr-sqrt
10×add-exp-log add-cbrt-cube
8×frac-times associate-/l/
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×times-frac associate-*r/ associate-*l* associate-*l/ associate-/r*
3×sub-neg difference-of-squares
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod distribute-lft-out
1×frac-2neg flip3-+ diff-log pow-prod-down clear-num *-commutative flip-+ div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
3 → 79
Calls
3 calls:
7.0ms
(- (* y y) (* z z))
14.0ms
(* (- (* y y) (* z z)) (- t x))
13.0ms
(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

series47.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- (* y y) (* z z))
18.0ms
(* (- (* y y) (* z z)) (- t x))
22.0ms
(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

simplify72.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0442718
12423636
25002628

prune141.0ms

Filtered
65 candidates to 88 candidates (-35.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New88088
Fresh011
Picked011
Done011
Total88391

Merged error: 0.0b

Counts
91 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt t) (sqrt x))
0.0b
(+ (sqrt t) (sqrt x))
0.1b
(* (- y z) (+ (sqrt t) (sqrt x)))
0.1b
(* (* (- y z) (+ (sqrt t) (sqrt x))) (- (sqrt t) (sqrt x)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
32×frac-times
27×add-sqr-sqrt
25×*-un-lft-identity
22×flip3-- flip--
16×associate-*l/ sqrt-prod
14×associate-*r*
13×flip3-+ flip-+
11×pow1 add-exp-log add-cbrt-cube
10×associate-*r/
9×difference-of-squares
8×add-log-exp
7×add-cube-cbrt
6×associate-*l*
5×distribute-lft-out--
4×pow-prod-down prod-exp cbrt-unprod distribute-lft-out
3×distribute-rgt-in sub-neg distribute-lft-in
2×*-commutative
1×+-commutative diff-log sum-log unswap-sqr
Counts
4 → 117
Calls
4 calls:
5.0ms
(- (sqrt t) (sqrt x))
6.0ms
(+ (sqrt t) (sqrt x))
13.0ms
(* (- y z) (+ (sqrt t) (sqrt x)))
21.0ms
(* (* (- y z) (+ (sqrt t) (sqrt x))) (- (sqrt t) (sqrt x)))

series84.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (sqrt t) (sqrt x))
6.0ms
(+ (sqrt t) (sqrt x))
24.0ms
(* (- y z) (+ (sqrt t) (sqrt x)))
47.0ms
(* (* (- y z) (+ (sqrt t) (sqrt x))) (- (sqrt t) (sqrt x)))

simplify98.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (85.0ms)

IterNodesCost
06751266
138881124
250021116

prune129.0ms

Filtered
97 candidates to 129 candidates (-33.0%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1281129
Fresh000
Picked011
Done022
Total1284132

Merged error: 0b

Counts
132 → 4

regimes370.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0167
1207
2217
3217

end0.0ms

analyze662.0ms

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
6.2%93.6%0.2%9
9.4%90.4%0.2%10
12.5%85.6%1.9%11
19.8%76.5%3.7%12
26.1%64.4%9.6%13
31.7%54.5%13.7%14

sample541.0ms

Algorithm
intervals
Results
219.0ms8000×body80valid
73.0ms2612×body80invalid

Profiling

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