Details

Time bar (total: 2.9s)

analyze592.0ms

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
3.1%96.7%0.2%8
19.9%79.9%0.2%9
22.8%77%0.2%10
35.1%64.7%0.2%11
45%54.8%0.2%12
53.8%45.1%1.2%13
56.2%42.4%1.5%14

sample22.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms25×body80invalid

simplify156.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (155.0ms)

IterNodesCost
054039

prune10.0ms

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

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) (- z y))
1.4b
(* (/ (- x y) (- z y)) t)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*l*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-exp-log add-cbrt-cube
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*r* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- x y) (- z y))
11.0ms
(* (/ (- x y) (- z y)) t)

series32.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(/ (- x y) (- z y))
21.0ms
(* (/ (- x y) (- z y)) t)

simplify45.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
056491183

prune115.0ms

Filtered
71 candidates to 108 candidates (-52.1%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1017108
Fresh011
Picked101
Done000
Total1028110

Merged error: 0b

Counts
110 → 8

localize8.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- x y) (/ 1 (- z y)))
1.4b
(* (* (- x y) (/ 1 (- z y))) t)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×add-exp-log
24×associate-*r*
22×*-un-lft-identity
17×times-frac
16×add-cbrt-cube
13×add-cube-cbrt prod-exp
10×associate-*l/
9×pow1
7×cbrt-unprod
6×associate-*l*
5×flip3-- flip--
4×frac-times div-exp pow-prod-down distribute-lft-out-- difference-of-squares
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp associate-*r/ associate-/r/ un-div-inv *-commutative add-log-exp
1×div-inv
Counts
2 → 78
Calls
2 calls:
12.0ms
(* (- x y) (/ 1 (- z y)))
12.0ms
(* (* (- x y) (/ 1 (- z y))) t)

series33.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(* (- x y) (/ 1 (- z y)))
22.0ms
(* (* (- x y) (/ 1 (- z y))) t)

simplify65.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05000750

prune87.0ms

Filtered
50 candidates to 84 candidates (-68.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh077
Picked011
Done000
Total84892

Merged error: 0b

Counts
92 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.3b
(/ 1 (/ (- z y) (- x y)))
1.4b
(* (/ 1 (/ (- z y) (- x y))) t)

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*l*
82×distribute-lft-out-- difference-of-squares
36×associate-/r*
35×add-exp-log
19×add-cbrt-cube
18×associate-/r/
15×div-exp
10×div-inv
9×flip3-- flip--
8×associate-/l*
7×cbrt-undiv prod-exp
6×pow1
5×unswap-sqr
4×rec-exp 1-exp
3×associate-*r* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub pow-prod-down associate-*l/ *-commutative inv-pow
Counts
3 → 326
Calls
3 calls:
7.0ms
(/ (- z y) (- x y))
12.0ms
(/ 1 (/ (- z y) (- x y)))
27.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

series57.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- z y) (- x y))
16.0ms
(/ 1 (/ (- z y) (- x y)))
32.0ms
(* (/ 1 (/ (- z y) (- x y))) t)

simplify52.0ms

Algorithm
egg-herbie
Counts
335 → 335
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
050944350

prune261.0ms

Filtered
196 candidates to 335 candidates (-70.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3332335
Fresh246
Picked101
Done011
Total3367343

Merged error: 0b

Counts
343 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
1.2b
(/ t (/ (- z y) (- x y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-exp-log add-cbrt-cube
8×associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×div-sub
Counts
2 → 194
Calls
2 calls:
7.0ms
(/ (- z y) (- x y))
11.0ms
(/ t (/ (- z y) (- x y)))

series37.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- z y) (- x y))
28.0ms
(/ t (/ (- z y) (- x y)))

simplify53.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050783157

prune312.0ms

Filtered
135 candidates to 200 candidates (-48.1%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1991200
Fresh235
Picked011
Done011
Total2016207

Merged error: 0b

Counts
207 → 6

regimes265.0ms

Accuracy

-8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.1b

bsearch28.0ms

Steps
ItersRangePoint
7
2.7344774092440606e-172
1.6142408505180468e-170
3.1725025516793346e-171
8
-4.860769358069947e-18
-1.2454875347684378e-22
-2.703203109859195e-22

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03227
13227

end0.0ms

sample458.0ms

Algorithm
intervals
Results
236.0ms8000×body80valid
18.0ms629×body80invalid

Profiling

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