Details

Time bar (total: 3.3s)

analyze848.0ms

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

sample22.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms10×body80invalid

simplify113.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (111.0ms)

IterNodesCost
0490011
1490011

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: 10.7b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
10.4b
(/ (- 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:
3.0ms
(- t (* a z))
6.0ms
(/ (- x (* y z)) (- t (* a z)))

series30.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- t (* a z))
23.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify40.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05930646

prune86.0ms

Filtered
41 candidates to 49 candidates (-19.5%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New41849
Fresh000
Picked011
Done000
Total41950

Merged error: 5.8b

Counts
50 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* z a))
2.3b
(* y (/ z (- t (* z a))))
2.9b
(/ x (- t (* z a)))
7.4b
(/ 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:
5.0ms
(- t (* z a))
8.0ms
(* y (/ z (- t (* z a))))
4.0ms
(/ x (- t (* z a)))
4.0ms
(/ z (- t (* z a)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- t (* z a))
12.0ms
(* y (/ z (- t (* z a))))
11.0ms
(/ x (- t (* z a)))
10.0ms
(/ z (- t (* z a)))

simplify48.0ms

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
052041123

prune347.0ms

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

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1123115
Fresh257
Picked101
Done101
Total1168124

Merged error: 1.4b

Counts
124 → 8

localize12.0ms

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))
2.3b
(/ y (- (/ t z) a))
2.9b
(/ x (- t (* z a)))

rewrite50.0ms

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:
25.0ms
(- (/ x (- t (* z a))) (pow (/ y (- (/ t z) a)) 1))
7.0ms
(- t (* z a))
10.0ms
(/ y (- (/ t z) a))
11.0ms
(/ x (- t (* z a)))

simplify51.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
049321516
149321516

prune142.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1130113
Fresh077
Picked011
Done000
Total1138121

Merged error: 1.4b

Counts
121 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

1.6b
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- t (* z a))))
1.7b
(/ (cbrt x) (- t (* z a)))
2.3b
(* y (/ z (- t (* z a))))
7.4b
(/ z (- t (* z a)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
57×times-frac
48×add-cube-cbrt *-un-lft-identity
39×associate-*r*
25×add-exp-log
22×cbrt-prod
18×add-cbrt-cube
11×pow1
9×associate-/l*
8×prod-exp associate-/r/ cbrt-unprod
6×associate-/r*
5×cbrt-undiv div-exp unswap-sqr
4×flip3-- associate-*l* pow-prod-down flip-- div-inv add-log-exp
2×frac-2neg associate-*r/ clear-num *-commutative
Counts
4 → 151
Calls
4 calls:
13.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- t (* z a))))
5.0ms
(/ (cbrt x) (- t (* z a)))
8.0ms
(* y (/ z (- t (* z a))))
4.0ms
(/ z (- t (* z a)))

series69.0ms

Counts
4 → 12
Calls
4 calls:
15.0ms
(* (* (cbrt x) (cbrt x)) (/ (cbrt x) (- t (* z a))))
30.0ms
(/ (cbrt x) (- t (* z a)))
13.0ms
(* y (/ z (- t (* z a))))
10.0ms
(/ z (- t (* z a)))

simplify57.0ms

Algorithm
egg-herbie
Counts
163 → 163
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
051641831

prune144.0ms

Filtered
129 candidates to 163 candidates (-26.4%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1621163
Fresh066
Picked011
Done011
Total1629171

Merged error: 1.4b

Counts
171 → 9

regimes430.0ms

Accuracy

0% (1.5b remaining)

Error of 2.9b against oracle of 1.3b and baseline of 2.9b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05815
15815

end0.0ms

sample585.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid
24.0ms689×body80invalid

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