Details

Time bar (total: 4.7s)

analyze831.0ms

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
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
16.4%83.4%0.2%11
19.9%79.9%0.2%12
21.6%77.2%1.2%13
24.8%73.7%1.4%14

sample25.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
3.0ms81×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0349
1349

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.7b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
8.2b
(/ (- (* x y) (* z t)) a)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 41
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
5.0ms
(/ (- (* x y) (* z t)) a)

series25.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* x y) (* z t))
14.0ms
(/ (- (* x y) (* z t)) a)

simplify46.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05340578

prune97.0ms

Filtered
37 candidates to 47 candidates (-27.0%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New351247
Fresh000
Picked011
Done000
Total351348

Merged error: 0.0b

Counts
48 → 13

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
8.3b
(* (- (* 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
7×add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×flip3-- associate-*l* flip-- unswap-sqr
2×frac-times div-exp associate-*l/ cbrt-unprod
1×cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 51
Calls
2 calls:
3.0ms
(- (* x y) (* z t))
9.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series24.0ms

Counts
2 → 6
Calls
2 calls:
10.0ms
(- (* x y) (* z t))
14.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04954652
14954652

prune89.0ms

Filtered
36 candidates to 57 candidates (-58.3%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New56157
Fresh11011
Picked011
Done011
Total571370

Merged error: 0.0b

Counts
70 → 13

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x (/ y a)) (* z (/ t a)))
5.3b
(* x (/ y a))
6.3b
(* z (/ t a))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
26×associate-*r*
20×times-frac
19×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
7×pow1
6×associate-*r/ associate-*l*
5×add-log-exp
4×prod-exp cbrt-unprod unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv
1×sub-neg flip3-- diff-log frac-sub flip-- sub-div
Counts
3 → 77
Calls
3 calls:
4.0ms
(- (* x (/ y a)) (* z (/ t a)))
6.0ms
(* x (/ y a))
6.0ms
(* z (/ t a))

series27.0ms

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

simplify71.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
05162704

prune134.0ms

Filtered
59 candidates to 86 candidates (-45.8%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New751186
Fresh6410
Picked101
Done112
Total831699

Merged error: 0.0b

Counts
99 → 16

localize16.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt y)
0.7b
(cbrt y)
0.9b
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt a) (cbrt a)))))
6.3b
(* z (/ t a))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
20×add-sqr-sqrt
16×add-cbrt-cube
15×add-cube-cbrt *-un-lft-identity
14×associate-*r*
11×pow1
10×times-frac prod-exp cbrt-unprod
6×cbrt-prod associate-*l*
4×pow-prod-down add-log-exp
3×cbrt-undiv associate-*r/ div-exp
2×pow1/3 *-commutative unswap-sqr
1×div-inv
Counts
4 → 77
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
10.0ms
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt a) (cbrt a)))))
6.0ms
(* z (/ t a))

series73.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
21.0ms
(cbrt y)
27.0ms
(* x (* (cbrt y) (/ (cbrt y) (* (cbrt a) (cbrt a)))))
5.0ms
(* z (/ t a))

simplify66.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
04965570
14965570

prune75.0ms

Filtered
60 candidates to 89 candidates (-48.3%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New89089
Fresh01414
Picked011
Done011
Total8916105

Merged error: 0.0b

Counts
105 → 16

regimes1.4s

Accuracy

71.2% (1.5b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 5.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03374
13374

end0.0ms

analyze823.0ms

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
0%99.8%0.2%8
0%99.8%0.2%9
0%99.8%0.2%10
16.4%83.4%0.2%11
19.9%79.9%0.2%12
21.6%77.2%1.2%13
24.8%73.7%1.4%14

sample708.0ms

Algorithm
intervals
Results
280.0ms8000×body80valid
103.0ms3108×body80invalid

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