Details

Time bar (total: 4.2s)

analyze853.0ms

Algorithm
search

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms106×body80invalid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0164
1334
2454
3634
4694
5694

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.6b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
4.4b
(/ (- (* x y) (* z t)) a)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
associate-/r* associate-/l*
pow1 flip3-- flip-- associate-/l/
cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
5.0ms
(/ (- (* x y) (* z t)) a)

series28.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(- (* x y) (* z t))
15.0ms
(/ (- (* x y) (* z t)) a)

simplify76.0ms

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0204313
1717288
22686288
35001288

prune91.0ms

Filtered
37 candidates to 48 candidates (-29.7%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New381048
Fresh000
Picked101
Done000
Total391049

Merged error: 4.3b

Counts
49 → 10

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) a) (/ (* t z) a))
3.6b
(/ (* x y) a)
4.5b
(/ (* t z) a)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
times-frac associate-/r*
add-log-exp
cbrt-undiv div-exp div-inv
pow1
frac-2neg prod-exp clear-num cbrt-unprod associate-/l*
sub-neg flip3-- distribute-rgt-out-- diff-log frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
3 → 59
Calls
3 calls:
8.0ms
(- (/ (* x y) a) (/ (* t z) a))
4.0ms
(/ (* x y) a)
4.0ms
(/ (* t z) a)

series29.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- (/ (* x y) a) (/ (* t z) a))
5.0ms
(/ (* x y) a)
7.0ms
(/ (* t z) a)

simplify32.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0275315
11238283
25001283

prune101.0ms

Filtered
46 candidates to 68 candidates (-47.8%)
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New63568
Fresh369
Picked101
Done000
Total671178

Merged error: 0.2b

Counts
78 → 11

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
4.5b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
add-cbrt-cube
pow1 prod-exp add-log-exp
flip3-- associate-*l* flip-- unswap-sqr
frac-times div-exp associate-*l/ cbrt-unprod
cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 52
Calls
2 calls:
4.0ms
(- (* x y) (* z t))
9.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series25.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* x y) (* z t))
15.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify39.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0278390
11203340
25001322

prune91.0ms

Filtered
39 candidates to 58 candidates (-48.7%)
Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New57158
Fresh1910
Picked011
Done000
Total581169

Merged error: 0.2b

Counts
69 → 11

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z t))
0.4b
(/ 1 (/ a (- (* x y) (* z t))))
4.4b
(/ a (- (* x y) (* z t)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
div-exp
flip3-- flip-- div-inv associate-/l*
add-log-exp
pow1 cbrt-undiv
rec-exp frac-2neg 1-exp clear-num
sub-neg pow-flip diff-log inv-pow
Counts
3 → 125
Calls
3 calls:
3.0ms
(- (* x y) (* z t))
8.0ms
(/ 1 (/ a (- (* x y) (* z t))))
5.0ms
(/ a (- (* x y) (* z t)))

series47.0ms

Counts
3 → 9
Calls
3 calls:
10.0ms
(- (* x y) (* z t))
21.0ms
(/ 1 (/ a (- (* x y) (* z t))))
15.0ms
(/ a (- (* x y) (* z t)))

simplify54.0ms

Algorithm
egg-herbie
Counts
134 → 134
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04281233
118721114
250011024

prune81.0ms

Filtered
73 candidates to 134 candidates (-83.6%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1331134
Fresh189
Picked011
Done011
Total13411145

Merged error: 0.2b

Counts
145 → 11

regimes960.0ms

Accuracy

37.2% (4.5b remaining)

Error of 4.9b against oracle of 0.4b and baseline of 7.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02916
12916

end0.0ms

analyze825.0ms

Algorithm
search

sample744.0ms

Algorithm
intervals
Results
284.0ms8000×body80valid
126.0ms3166×body80invalid

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