Details

Time bar (total: 3.8s)

analyze781.0ms

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
3.1%96.7%0.2%7
6.2%93.6%0.2%8
8.6%91.2%0.2%9
28.1%71.7%0.2%10
31%68.8%0.2%11
40.5%59.3%0.2%12
49.6%50.2%0.2%13
59%40.8%0.2%14

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
0.0ms8×body80invalid

simplify55.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
0500217

prune7.0ms

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: 5.9b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b
(- (* t z) x)
0.2b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.5b
(/ (- (* y z) x) (- (* t z) x))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
44×*-un-lft-identity
25×times-frac
22×add-sqr-sqrt add-cube-cbrt
11×distribute-lft-out
8×add-exp-log add-cbrt-cube add-log-exp
7×associate-/r* associate-/l*
4×pow1 div-sub associate-/r/ associate-/l/
3×flip3-- flip3-+ flip-- flip-+
2×cbrt-undiv associate-+r- frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg diff-log sum-log
Counts
4 → 97
Calls
4 calls:
10.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
4.0ms
(- (* t z) x)
14.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms
(/ (- (* y z) x) (- (* t z) x))

series83.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ x (/ (- (* y z) x) (- (* t z) x)))
5.0ms
(- (* t z) x)
36.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
18.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify47.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
054061914

prune176.0ms

Filtered
84 candidates to 109 candidates (-29.8%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9910109
Fresh000
Picked101
Done000
Total10010110

Merged error: 0.2b

Counts
110 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
1.6b
(* y (/ z (- (* z t) x)))
2.3b
(/ x (- (* z t) x))
8.7b
(/ z (- (* z t) x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
44×times-frac
43×add-sqr-sqrt
38×add-cube-cbrt
15×add-exp-log associate-*r* add-cbrt-cube
10×associate-/r* distribute-lft-out associate-/l*
8×associate-/r/
6×pow1
4×cbrt-undiv div-exp div-inv add-log-exp
3×flip3-- frac-2neg associate-*l* clear-num flip--
2×flip3-+ prod-exp cbrt-unprod flip-+ associate-/l/ unswap-sqr
1×associate-+r- div-sub associate-*r/ pow-prod-down *-commutative
Counts
4 → 133
Calls
4 calls:
16.0ms
(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
9.0ms
(* y (/ z (- (* z t) x)))
7.0ms
(/ x (- (* z t) x))
5.0ms
(/ z (- (* z t) x))

series67.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ (+ x (- (* y (/ z (- (* z t) x))) (/ x (- (* z t) x)))) (+ x 1.0))
11.0ms
(* y (/ z (- (* z t) x)))
11.0ms
(/ x (- (* z t) x))
8.0ms
(/ z (- (* z t) x))

simplify64.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049602243
149602243

prune161.0ms

Filtered
109 candidates to 145 candidates (-33.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1441145
Fresh369
Picked011
Done000
Total1478155

Merged error: 0.2b

Counts
155 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* z t) x)
0.2b
(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x)))) (+ x 1.0))
1.5b
(/ y (- t (/ x z)))
2.3b
(/ x (- (* z t) x))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
79×*-un-lft-identity
54×add-sqr-sqrt
51×times-frac
34×add-cube-cbrt
16×distribute-lft-out
13×associate-/r*
11×associate-/l*
10×add-exp-log add-cbrt-cube
9×distribute-lft-out--
8×difference-of-squares
6×associate-/r/ add-log-exp
4×pow1
3×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv
2×flip3-+ flip-+ associate-/l/
1×associate-+r- sub-neg diff-log div-sub
Counts
4 → 127
Calls
4 calls:
3.0ms
(- (* z t) x)
34.0ms
(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x)))) (+ x 1.0))
8.0ms
(/ y (- t (/ x z)))
5.0ms
(/ x (- (* z t) x))

series58.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* z t) x)
32.0ms
(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* z t) x)))) (+ x 1.0))
9.0ms
(/ y (- t (/ x z)))
12.0ms
(/ x (- (* z t) x))

simplify53.0ms

Algorithm
egg-herbie
Counts
139 → 139
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
057252323

prune139.0ms

Filtered
96 candidates to 139 candidates (-44.8%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1390139
Fresh066
Picked011
Done011
Total1398147

Merged error: 0.2b

Counts
147 → 8

localize17.0ms

Local error

Found 4 expressions with local error:

9.3b
(cbrt (- (* z t) x))
9.3b
(cbrt (- (* z t) x))
9.3b
(cbrt (- (* z t) x))
9.5b
(/ (- (* y z) x) (* (* (cbrt (- (* z t) x)) (cbrt (- (* z t) x))) (cbrt (- (* z t) x))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
31×flip3-- flip--
28×frac-times
26×associate-/r/
14×associate-*l/
13×add-exp-log
9×cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
8×associate-*r/
4×pow1 add-log-exp
3×cbrt-undiv times-frac pow1/3 div-exp prod-exp cbrt-unprod associate-/l*
2×associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 91
Calls
4 calls:
4.0ms
(cbrt (- (* z t) x))
4.0ms
(cbrt (- (* z t) x))
4.0ms
(cbrt (- (* z t) x))
24.0ms
(/ (- (* y z) x) (* (* (cbrt (- (* z t) x)) (cbrt (- (* z t) x))) (cbrt (- (* z t) x))))

series114.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(cbrt (- (* z t) x))
34.0ms
(cbrt (- (* z t) x))
31.0ms
(cbrt (- (* z t) x))
17.0ms
(/ (- (* y z) x) (* (* (cbrt (- (* z t) x)) (cbrt (- (* z t) x))) (cbrt (- (* z t) x))))

simplify60.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
050831745

prune112.0ms

Filtered
80 candidates to 103 candidates (-28.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh055
Picked011
Done022
Total1038111

Merged error: 0.2b

Counts
111 → 8

regimes288.0ms

Accuracy

0% (0.0b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821
11821

end0.0ms

analyze677.0ms

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
3.1%96.7%0.2%7
6.2%93.6%0.2%8
8.6%91.2%0.2%9
28.1%71.7%0.2%10
31%68.8%0.2%11
40.5%59.3%0.2%12
49.6%50.2%0.2%13
59%40.8%0.2%14

sample604.0ms

Algorithm
intervals
Results
385.0ms8000×body80valid
13.0ms296×body80invalid

Profiling

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