Details

Time bar (total: 3.2s)

analyze513.0ms

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

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
1.0ms22×body80invalid

simplify134.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (133.0ms)

IterNodesCost
048559
148559

prune12.0ms

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))
2.0b
(* x (/ (- y z) (- t z)))

rewrite26.0ms

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:
8.0ms
(/ (- y z) (- t z))
13.0ms
(* x (/ (- y z) (- t z)))

series28.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- y z) (- t z))
19.0ms
(* x (/ (- y z) (- t z)))

simplify43.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
055691163

prune124.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1026108
Fresh011
Picked011
Done000
Total1028110

Merged error: 0.0b

Counts
110 → 8

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t z) (- y z))
0.3b
(/ 1 (/ (- t z) (- y z)))
2.0b
(* x (/ 1 (/ (- t z) (- y z))))

rewrite73.0ms

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:
8.0ms
(/ (- t z) (- y z))
12.0ms
(/ 1 (/ (- t z) (- y z)))
32.0ms
(* x (/ 1 (/ (- t z) (- y z))))

series56.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ (- t z) (- y z))
17.0ms
(/ 1 (/ (- t z) (- y z)))
30.0ms
(* x (/ 1 (/ (- t z) (- y z))))

simplify75.0ms

Algorithm
egg-herbie
Counts
336 → 336
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
051164378

prune296.0ms

Filtered
191 candidates to 336 candidates (-75.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3333336
Fresh336
Picked101
Done011
Total3377344

Merged error: 0.0b

Counts
344 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.8b
(/ x (/ (- t z) (- y z)))

rewrite30.0ms

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)))

series38.0ms

Counts
2 → 6
Calls
2 calls:
9.0ms
(/ (- t z) (- y z))
29.0ms
(/ x (/ (- t z) (- y z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
055463160

prune174.0ms

Filtered
133 candidates to 200 candidates (-50.4%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1973200
Fresh325
Picked101
Done011
Total2016207

Merged error: 0b

Counts
207 → 6

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t (- y z)) (/ z (- y z)))
0.0b
(/ t (- y z))
0.0b
(/ z (- y z))
1.8b
(/ x (- (/ t (- y z)) (/ z (- y z))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
203×*-un-lft-identity
174×times-frac
153×add-sqr-sqrt
68×distribute-lft-out--
57×add-cube-cbrt
38×difference-of-squares
28×associate-/r* associate-/r/
15×distribute-rgt-out--
14×flip3-- flip--
13×div-inv
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×add-log-exp
4×pow1
3×cbrt-undiv frac-2neg div-exp clear-num
2×frac-sub sub-div
1×sub-neg diff-log
Counts
4 → 193
Calls
4 calls:
26.0ms
(- (/ t (- y z)) (/ z (- y z)))
5.0ms
(/ t (- y z))
5.0ms
(/ z (- y z))
32.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

series57.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(- (/ t (- y z)) (/ z (- y z)))
7.0ms
(/ t (- y z))
5.0ms
(/ z (- y z))
31.0ms
(/ x (- (/ t (- y z)) (/ z (- y z))))

simplify267.0ms

Algorithm
egg-herbie
Counts
205 → 205
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
053092775

prune216.0ms

Filtered
151 candidates to 205 candidates (-35.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New2050205
Fresh044
Picked011
Done011
Total2056211

Merged error: 0b

Counts
211 → 6

regimes327.0ms

Accuracy

-6.5% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 2.2b

bsearch30.0ms

Steps
ItersRangePoint
6
8.566873346211738e-49
5.3141452849041684e-48
2.3289974463294087e-48
9
-8.68646567792538e-197
-1.5018161275545128e-202
-9.476192893690674e-199

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09831
19831

end0.0ms

sample500.0ms

Algorithm
intervals
Results
251.0ms8000×body80valid
23.0ms625×body80invalid

Profiling

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