Details

Time bar (total: 4.3s)

analyze715.0ms

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
7.8%92%0.2%8
16.4%83.4%0.2%9
23.8%76%0.2%10
25.1%74.7%0.2%11
38.1%59.4%2.5%12
41.8%55.3%2.9%13
46.5%50.3%3.1%14

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms65×body80invalid

simplify15.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0155
1255
2395
3585
4735
5875
61025
71085
81105
91105

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.0b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.7b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
17.0ms
(- (/ y z) (/ t (- 1.0 z)))
25.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series30.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ t (- 1.0 z))
8.0ms
(- (/ y z) (/ t (- 1.0 z)))
16.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0387632
11452595
25002593

prune171.0ms

Filtered
71 candidates to 98 candidates (-38.0%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New841498
Fresh000
Picked101
Done000
Total851499

Merged error: 0.8b

Counts
99 → 14

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
3.8b
(* x (neg (/ t (- 1.0 z))))
8.7b
(* x (/ y z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
59×associate-*r*
55×times-frac
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-*l* associate-/r/ add-log-exp
5×associate-/r*
4×associate-*r/ div-inv
3×flip3-- prod-exp distribute-rgt-neg-out flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+ distribute-lft-out
Counts
4 → 147
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
5.0ms
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
14.0ms
(* x (neg (/ t (- 1.0 z))))
6.0ms
(* x (/ y z))

series42.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ t (- 1.0 z))
20.0ms
(+ (* x (/ y z)) (* x (neg (/ t (- 1.0 z)))))
11.0ms
(* x (neg (/ t (- 1.0 z))))
5.0ms
(* x (/ y z))

simplify86.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
0674868
13164809
25002808

prune233.0ms

Filtered
118 candidates to 159 candidates (-34.7%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1536159
Fresh6713
Picked101
Done000
Total16013173

Merged error: 0.0b

Counts
173 → 13

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
1.1b
(* x (neg (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))
8.7b
(* x (/ y z))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
43×associate-*r*
25×add-sqr-sqrt
24×cbrt-div
18×add-cube-cbrt *-un-lft-identity
16×associate-/r/
13×distribute-lft-neg-in distribute-rgt-neg-in
12×flip3-- times-frac flip--
11×add-exp-log add-cbrt-cube
8×pow1 frac-times
6×cbrt-prod associate-*r/ associate-*l*
4×associate-*l/ add-log-exp
3×prod-exp cbrt-unprod div-inv unswap-sqr
2×pow1/3 pow-prod-down *-commutative
1×cbrt-undiv neg-mul-1 div-exp distribute-rgt-neg-out distribute-neg-frac
Counts
4 → 101
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
10.0ms
(* x (neg (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))
8.0ms
(* x (/ y z))

series127.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(cbrt t)
30.0ms
(cbrt t)
49.0ms
(* x (neg (/ (* (cbrt t) (cbrt t)) (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))))
5.0ms
(* x (/ y z))

simplify74.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
0617941
12579867
25001855

prune363.0ms

Filtered
87 candidates to 113 candidates (-29.9%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh01212
Picked011
Done000
Total11313126

Merged error: 0.0b

Counts
126 → 13

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
5.7b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* add-log-exp
5×prod-exp associate-/r*
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 125
Calls
4 calls:
5.0ms
(/ 1 (- 1.0 z))
6.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
10.0ms
(* t (/ 1 (- 1.0 z)))
8.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series34.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (- 1.0 z))
11.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
6.0ms
(* t (/ 1 (- 1.0 z)))
16.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0495825
12159729
25003687

prune121.0ms

Filtered
83 candidates to 137 candidates (-65.1%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New1370137
Fresh01111
Picked011
Done011
Total13713150

Merged error: 0.0b

Counts
150 → 13

regimes725.0ms

Accuracy

94.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 4.9b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05953
16353
26453
36453

end0.0ms

analyze615.0ms

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
7.8%92%0.2%8
16.4%83.4%0.2%9
23.8%76%0.2%10
25.1%74.7%0.2%11
38.1%59.4%2.5%12
41.8%55.3%2.9%13
46.5%50.3%3.1%14

sample605.0ms

Algorithm
intervals
Results
298.0ms8000×body80valid
67.0ms1826×body80invalid

Profiling

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