Details

Time bar (total: 3.6s)

analyze888.0ms

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

sample26.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms29×body80invalid

simplify103.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
0522511

prune9.0ms

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: 13.3b

Counts
2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
13.0b
(/ (- x (* y z)) (- t (* a z)))

rewrite201.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 54
Calls
3 calls:
3.0ms
(- t (* a z))
3.0ms
(- x (* y z))
195.0ms
(/ (- x (* y z)) (- t (* a z)))

series31.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05297755

prune120.0ms

Filtered
52 candidates to 63 candidates (-21.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New55863
Fresh000
Picked011
Done000
Total55964

Merged error: 9.0b

Counts
64 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* z a))
2.8b
(* y (/ z (- t (* z a))))
4.2b
(/ x (- t (* z a)))
10.2b
(/ z (- t (* z a)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
15×associate-*r*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv div-exp associate-*l* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log associate-*r/ pow-prod-down *-commutative
Counts
4 → 103
Calls
4 calls:
3.0ms
(- t (* z a))
8.0ms
(* y (/ z (- t (* z a))))
4.0ms
(/ x (- t (* z a)))
4.0ms
(/ z (- t (* z a)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- t (* z a))
12.0ms
(* y (/ z (- t (* z a))))
10.0ms
(/ x (- t (* z a)))
10.0ms
(/ z (- t (* z a)))

simplify39.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (31.0ms)

IterNodesCost
049801123
149801123

prune182.0ms

Filtered
90 candidates to 115 candidates (-27.8%)
Pruning

12 alts after pruning (11 fresh and 1 done)

PrunedKeptTotal
New1105115
Fresh167
Picked101
Done011
Total11212124

Merged error: 2.5b

Counts
124 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* z a))) (pow (/ y (- (/ t z) a)) 1))
0.0b
(- t (* z a))
2.7b
(/ y (- (/ t z) a))
4.2b
(/ x (- t (* z a)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
63×add-sqr-sqrt
37×times-frac
33×*-un-lft-identity
23×add-cube-cbrt
16×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
5×distribute-lft-out--
4×pow1 unpow-prod-down flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv sqr-pow
Counts
4 → 101
Calls
4 calls:
32.0ms
(- (/ x (- t (* z a))) (pow (/ y (- (/ t z) a)) 1))
3.0ms
(- t (* z a))
8.0ms
(/ y (- (/ t z) a))
4.0ms
(/ x (- t (* z a)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (/ x (- t (* z a))) (pow (/ y (- (/ t z) a)) 1))
8.0ms
(- t (* z a))
10.0ms
(/ y (- (/ t z) a))
11.0ms
(/ x (- t (* z a)))

simplify44.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
050281516

prune176.0ms

Filtered
85 candidates to 113 candidates (-32.9%)
Pruning

12 alts after pruning (10 fresh and 2 done)

PrunedKeptTotal
New1121113
Fresh1910
Picked011
Done011
Total11312125

Merged error: 2.5b

Counts
125 → 12

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* z a))
0.0b
(- x (* y z))
0.2b
(/ 1 (- t (* z a)))
12.9b
(* (- x (* y z)) (/ 1 (- t (* z a))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
21×*-un-lft-identity
20×add-cube-cbrt times-frac
17×add-exp-log
15×associate-*r*
11×add-cbrt-cube
8×add-log-exp
7×pow1
6×flip3-- flip--
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/r* associate-/l* unswap-sqr
2×cbrt-undiv frac-times sub-neg rec-exp diff-log 1-exp associate-*l/ cbrt-unprod div-inv
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
4 → 97
Calls
4 calls:
3.0ms
(- t (* z a))
3.0ms
(- x (* y z))
4.0ms
(/ 1 (- t (* z a)))
10.0ms
(* (- x (* y z)) (/ 1 (- t (* z a))))

series44.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(- t (* z a))
6.0ms
(- x (* y z))
10.0ms
(/ 1 (- t (* z a)))
21.0ms
(* (- x (* y z)) (/ 1 (- t (* z a))))

simplify40.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
053401152

prune105.0ms

Filtered
72 candidates to 109 candidates (-51.4%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1090109
Fresh099
Picked011
Done022
Total10912121

Merged error: 2.5b

Counts
121 → 12

regimes689.0ms

Accuracy

73.1% (0.4b remaining)

Error of 2.0b against oracle of 1.6b and baseline of 3.0b

bsearch43.0ms

Steps
ItersRangePoint
7
3.229115406881539e-150
3.0966716108297506e-148
1.2929875706935983e-148
10
-126681388.77895975
-0.006640135567457979
-355843.9114842997

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
014935
114935

end0.0ms

sample635.0ms

Algorithm
intervals
Results
323.0ms8000×body80valid
27.0ms708×body80invalid

Profiling

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