Details

Time bar (total: 2.6s)

analyze515.0ms

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%92.8%0.2%8
19.1%80.7%0.2%9
29.8%70%0.2%10
31.3%68.5%0.2%11
42.3%57.2%0.6%12
53.3%45.5%1.2%13
59.2%39.3%1.5%14

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
0.0ms15×body80invalid

simplify164.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (162.0ms)

IterNodesCost
054879

prune15.0ms

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
(/ (- y z) (- t z))
1.6b
(* x (/ (- y z) (- t z)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
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-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative
Counts
2 → 102
Calls
2 calls:
7.0ms
(/ (- y z) (- t z))
13.0ms
(* x (/ (- y z) (- t z)))

series25.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- y z) (- t z))
16.0ms
(* x (/ (- y z) (- t z)))

simplify50.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050241163

prune112.0ms

Filtered
70 candidates to 108 candidates (-54.3%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1017108
Fresh011
Picked011
Done000
Total1019110

Merged error: 0b

Counts
110 → 9

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.3b
(/ 1 (/ (- t z) (- y z)))
1.6b
(* x (/ 1 (/ (- t z) (- y z))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
392×times-frac
335×add-sqr-sqrt
323×*-un-lft-identity
157×add-cube-cbrt
98×associate-*r*
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-*l* cbrt-unprod add-log-exp
2×frac-2neg clear-num associate-/l/
1×pow-flip div-sub associate-*r/ pow-prod-down un-div-inv *-commutative inv-pow
Counts
3 → 327
Calls
3 calls:
7.0ms
(/ (- t z) (- y z))
12.0ms
(/ 1 (/ (- t z) (- y z)))
29.0ms
(* x (/ 1 (/ (- t z) (- y z))))

series52.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- t z) (- y z))
17.0ms
(/ 1 (/ (- t z) (- y z)))
26.0ms
(* x (/ 1 (/ (- t z) (- y z))))

simplify57.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 0 (27.0ms)

IterNodesCost
050444378

prune253.0ms

Filtered
192 candidates to 336 candidates (-75.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New3351336
Fresh347
Picked101
Done011
Total3396345

Merged error: 0b

Counts
345 → 6

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.6b
(/ x (/ (- t z) (- y z)))

rewrite33.0ms

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
(/ (- t z) (- y z))
12.0ms
(/ x (/ (- t z) (- y z)))

series36.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- t z) (- y z))
27.0ms
(/ x (/ (- t z) (- y z)))

simplify60.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
050783157

prune144.0ms

Filtered
134 candidates to 200 candidates (-49.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2000200
Fresh044
Picked011
Done011
Total2006206

Merged error: 0b

Counts
206 → 6

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- t z))
0.2b
(* (- y z) (/ 1 (- t z)))
1.6b
(* x (* (- y z) (/ 1 (- t z))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
47×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
31×add-exp-log
24×add-cube-cbrt
22×associate-*r*
19×add-cbrt-cube
13×prod-exp
11×pow1
8×associate-*r/ associate-*l* distribute-lft-out-- difference-of-squares
7×cbrt-unprod
6×flip3-- div-exp flip--
5×associate-/r*
4×frac-times pow-prod-down associate-*l/ associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×un-div-inv *-commutative div-inv
1×pow-flip frac-2neg clear-num inv-pow
Counts
3 → 119
Calls
3 calls:
5.0ms
(/ 1 (- t z))
13.0ms
(* (- y z) (/ 1 (- t z)))
12.0ms
(* x (* (- y z) (/ 1 (- t z))))

series32.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(/ 1 (- t z))
9.0ms
(* (- y z) (/ 1 (- t z)))
18.0ms
(* x (* (- y z) (/ 1 (- t z))))

simplify47.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
059001082

prune91.0ms

Filtered
76 candidates to 128 candidates (-68.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1280128
Fresh033
Picked011
Done022
Total1286134

Merged error: 0b

Counts
134 → 6

regimes312.0ms

Accuracy

38.2% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03251
13251

end0.0ms

sample453.0ms

Algorithm
intervals
Results
233.0ms8000×body80valid
18.0ms655×body80invalid

Profiling

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