Details

Time bar (total: 5.0s)

analyze860.0ms

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
13.2%86.5%0.2%10
17%82.8%0.2%11
18.2%81.5%0.2%12
21.7%78.1%0.2%13
32.9%66.9%0.2%14

sample23.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms19×body80invalid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
0500011

prune8.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112

Merged error: 9.1b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (* y z))
8.8b
(/ (- x (* y z)) (- t (* a z)))

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×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 43
Calls
2 calls:
2.0ms
(- x (* y z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series29.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- x (* y z))
22.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify47.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05455646

prune77.0ms

Filtered
40 candidates to 49 candidates (-22.5%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New43649
Fresh000
Picked011
Done000
Total43750

Merged error: 1.4b

Counts
50 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* z a))) (/ y (- (/ t z) a)))
0.0b
(- (/ t z) a)
2.6b
(/ x (- t (* z a)))
3.1b
(/ y (- (/ t z) a))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
44×*-un-lft-identity
40×times-frac
23×add-cube-cbrt
14×difference-of-squares
9×associate-/r* distribute-lft-out--
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
1×frac-sub
Counts
4 → 103
Calls
4 calls:
25.0ms
(- (/ x (- t (* z a))) (/ y (- (/ t z) a)))
7.0ms
(- (/ t z) a)
6.0ms
(/ x (- t (* z a)))
8.0ms
(/ y (- (/ t z) a))

series52.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(- (/ x (- t (* z a))) (/ y (- (/ t z) a)))
5.0ms
(- (/ t z) a)
11.0ms
(/ x (- t (* z a)))
10.0ms
(/ y (- (/ t z) a))

simplify55.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
061001483

prune116.0ms

Filtered
87 candidates to 115 candidates (-32.2%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1141115
Fresh055
Picked011
Done011
Total1148122

Merged error: 1.4b

Counts
122 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

3.1b
(/ y (- (/ t z) a))
16.1b
(cbrt (/ y (- (/ t z) a)))
16.1b
(cbrt (/ y (- (/ t z) a)))
16.1b
(cbrt (/ y (- (/ t z) a)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
110×add-sqr-sqrt
85×times-frac
72×cbrt-prod
71×*-un-lft-identity
45×add-cube-cbrt
26×difference-of-squares
13×distribute-lft-out--
8×associate-/r/
6×add-exp-log associate-/r* add-cbrt-cube
4×pow1 flip3-- flip-- div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
1×cbrt-undiv frac-2neg div-exp clear-num
Counts
4 → 140
Calls
4 calls:
8.0ms
(/ y (- (/ t z) a))
8.0ms
(cbrt (/ y (- (/ t z) a)))
8.0ms
(cbrt (/ y (- (/ t z) a)))
8.0ms
(cbrt (/ y (- (/ t z) a)))

series112.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ y (- (/ t z) a))
36.0ms
(cbrt (/ y (- (/ t z) a)))
33.0ms
(cbrt (/ y (- (/ t z) a)))
34.0ms
(cbrt (/ y (- (/ t z) a)))

simplify79.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
051662218

prune170.0ms

Filtered
123 candidates to 152 candidates (-23.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1511152
Fresh055
Picked101
Done022
Total1528160

Merged error: 1.4b

Counts
160 → 8

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* y z))
0.5b
(/ 1 (- t (* z a)))
8.7b
(* (- x (* y z)) (/ 1 (- t (* z a))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
20×*-un-lft-identity times-frac
19×add-cube-cbrt
16×add-exp-log
15×associate-*r*
10×add-cbrt-cube
6×pow1
5×flip3-- flip-- add-log-exp
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv
1×sub-neg pow-flip frac-2neg diff-log associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
3 → 86
Calls
3 calls:
2.0ms
(- x (* y z))
4.0ms
(/ 1 (- t (* z a)))
9.0ms
(* (- x (* y z)) (/ 1 (- t (* z a))))

series39.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(- x (* y z))
13.0ms
(/ 1 (- t (* z a)))
19.0ms
(* (- x (* y z)) (/ 1 (- t (* z a))))

simplify54.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
053381044

prune77.0ms

Filtered
63 candidates to 95 candidates (-50.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New95095
Fresh055
Picked011
Done022
Total958103

Merged error: 1.4b

Counts
103 → 8

regimes500.0ms

Accuracy

78.5% (0.3b remaining)

Error of 1.8b against oracle of 1.5b and baseline of 2.9b

bsearch1.1s

Steps
ItersRangePoint
8
1.6005489922339545e-103
2.748092488520534e-100
2.4115471070274707e-100
4
-4.908054988212646e-08
-2.7429868640905573e-08
-2.8555953093468573e-08

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02635
12635

end0.0ms

analyze855.0ms

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
13.2%86.5%0.2%10
17%82.8%0.2%11
18.2%81.5%0.2%12
21.7%78.1%0.2%13
32.9%66.9%0.2%14

sample576.0ms

Algorithm
intervals
Results
303.0ms8000×body80valid
27.0ms770×body80invalid

Profiling

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