Details

Time bar (total: 3.7s)

analyze859.0ms

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
4.7%95.1%0.2%10
12.7%87.1%0.2%11
15.9%83.9%0.2%12
24.9%74.9%0.2%13
26.2%73.5%0.2%14

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms18×body80invalid

simplify67.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (66.0ms)

IterNodesCost
0493411
1493411

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 1.6b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
76×add-sqr-sqrt
71×*-un-lft-identity
51×times-frac
31×associate-*r*
27×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
10×add-exp-log add-cbrt-cube
5×pow1 associate-/r* associate-/l* add-log-exp
4×associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp 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 → 113
Calls
3 calls:
3.0ms
(+ x (* y (/ (- z t) (- a t))))
7.0ms
(/ (- z t) (- a t))
13.0ms
(* y (/ (- z t) (- a t)))

series54.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(+ x (* y (/ (- z t) (- a t))))
9.0ms
(/ (- z t) (- a t))
16.0ms
(* y (/ (- z t) (- a t)))

simplify29.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
050571366

prune170.0ms

Filtered
83 candidates to 122 candidates (-47.0%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1148122
Fresh000
Picked011
Done000
Total1149123

Merged error: 0b

Counts
123 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- z t))
0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))
0.5b
(cbrt (- a t))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
3.0ms
(cbrt (- z t))
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))
3.0ms
(cbrt (- a t))

series102.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- z t))
25.0ms
(cbrt (- a t))
25.0ms
(cbrt (- a t))
27.0ms
(cbrt (- a t))

simplify47.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05273580

prune119.0ms

Filtered
56 candidates to 72 candidates (-28.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New72072
Fresh077
Picked011
Done011
Total72981

Merged error: 0b

Counts
81 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
0.0b
(/ (- a t) (- z t))
0.4b
(/ 1 (/ (- a t) (- z t)))
2.5b
(* y (/ 1 (/ (- a t) (- z t))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
336×add-sqr-sqrt
324×*-un-lft-identity
158×add-cube-cbrt
98×associate-*r*
82×distribute-lft-out-- difference-of-squares
36×add-exp-log associate-/r*
20×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×pow1 cbrt-undiv prod-exp
6×add-log-exp
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*l* cbrt-unprod
2×frac-2neg clear-num associate-/l/
1×+-commutative pow-flip flip3-+ div-sub associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ inv-pow
Counts
4 → 338
Calls
4 calls:
3.0ms
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
10.0ms
(/ (- a t) (- z t))
11.0ms
(/ 1 (/ (- a t) (- z t)))
28.0ms
(* y (/ 1 (/ (- a t) (- z t))))

series123.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(+ x (* y (/ 1 (/ (- a t) (- z t)))))
13.0ms
(/ (- a t) (- z t))
34.0ms
(/ 1 (/ (- a t) (- z t)))
32.0ms
(* y (/ 1 (/ (- a t) (- z t))))

simplify61.0ms

Algorithm
egg-herbie
Counts
350 → 350
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
051174579

prune329.0ms

Filtered
203 candidates to 350 candidates (-72.4%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New3491350
Fresh336
Picked101
Done022
Total3536359

Merged error: 0b

Counts
359 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
21×associate-*l*
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*r* associate-/r* add-log-exp
4×sub-neg flip3-- associate-/r/ flip--
3×associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times associate-+r+ distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv unswap-sqr
1×+-commutative frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num sum-log *-commutative flip-+
Counts
3 → 98
Calls
3 calls:
3.0ms
(+ x (* (/ y (- a t)) (- z t)))
5.0ms
(/ y (- a t))
14.0ms
(* (/ y (- a t)) (- z t))

series68.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (* (/ y (- a t)) (- z t)))
7.0ms
(/ y (- a t))
26.0ms
(* (/ y (- a t)) (- z t))

simplify73.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
049621109
149621109

prune108.0ms

Filtered
80 candidates to 107 candidates (-33.8%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1070107
Fresh033
Picked011
Done022
Total1076113

Merged error: 0b

Counts
113 → 6

regimes645.0ms

Accuracy

0% (0.6b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07733
17733

end0.0ms

sample638.0ms

Algorithm
intervals
Results
321.0ms7997×body80valid
27.0ms738×body80invalid
0.0ms2×body320valid
0.0ms1×body160valid

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