Details

Time bar (total: 8.1s)

analyze1.9s

Algorithm
search
Search
TrueOtherFalseIter
0%99.6%0.4%0
0%99.6%0.4%1
0%99.6%0.4%2
0%99.6%0.4%3
0%99.6%0.4%4
0%99.6%0.4%5
0%99.6%0.4%6
0%99.6%0.4%7
0%99.6%0.4%8
0%99.6%0.4%9
0%99.6%0.4%10
0%99.6%0.4%11
0%99.6%0.4%12
0%99.6%0.4%13
0%99.6%0.4%14

sample66.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
16.0ms269×body80invalid

simplify167.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (165.0ms)

IterNodesCost
0506819

prune17.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.8b

Counts
2 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
0.0b
(+ (* x y) (* z t))
0.1b
(* (+ a (* b c)) c)
6.4b
(* (* (+ a (* b c)) c) i)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-*l/
11×pow1 add-exp-log add-cbrt-cube add-log-exp
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity flip3-+ flip-+
6×associate-*r*
4×associate-*l* pow-prod-down prod-exp frac-sub cbrt-unprod
2×diff-log sum-log *-commutative
1×+-commutative sub-neg flip3-- associate--l+ flip-- unswap-sqr
Counts
4 → 68
Calls
4 calls:
8.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
4.0ms
(+ (* x y) (* z t))
5.0ms
(* (+ a (* b c)) c)
7.0ms
(* (* (+ a (* b c)) c) i)

series399.0ms

Counts
4 → 12
Calls
4 calls:
360.0ms
(- (+ (* x y) (* z t)) (* (* (+ a (* b c)) c) i))
10.0ms
(+ (* x y) (* z t))
11.0ms
(* (+ a (* b c)) c)
17.0ms
(* (* (+ a (* b c)) c) i)

simplify24.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (16.0ms)

IterNodesCost
051641205

prune150.0ms

Filtered
61 candidates to 80 candidates (-31.1%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New71980
Fresh011
Picked101
Done000
Total721082

Merged error: 0.7b

Counts
82 → 10

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
0.0b
(+ (* x y) (* z t))
6.8b
(* (+ a (* b c)) (* c i))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
10×add-log-exp
8×pow1 add-exp-log add-cbrt-cube
6×flip3-+ associate-*l/ flip-+
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity frac-sub
3×associate-*l* pow-prod-down prod-exp cbrt-unprod
2×diff-log sum-log
1×+-commutative sub-neg flip3-- associate-*r* associate--l+ *-commutative flip--
Counts
3 → 48
Calls
3 calls:
8.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
4.0ms
(+ (* x y) (* z t))
6.0ms
(* (+ a (* b c)) (* c i))

series398.0ms

Counts
3 → 9
Calls
3 calls:
370.0ms
(- (+ (* x y) (* z t)) (* (+ a (* b c)) (* c i)))
10.0ms
(+ (* x y) (* z t))
17.0ms
(* (+ a (* b c)) (* c i))

simplify22.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
053081014

prune112.0ms

Filtered
41 candidates to 57 candidates (-39.0%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New56157
Fresh189
Picked011
Done000
Total571067

Merged error: 0.7b

Counts
67 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

1.3b
(cbrt (+ a (* b c)))
1.3b
(cbrt (+ a (* b c)))
1.5b
(* c (* i (cbrt (+ a (* b c)))))
2.8b
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* c (* i (cbrt (+ a (* b c))))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-div
48×associate-*r/
30×pow1 add-exp-log flip3-+ flip-+
28×frac-times
21×add-cbrt-cube
18×pow-prod-down prod-exp cbrt-unprod
14×associate-*l/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod
4×associate-*l* add-log-exp
2×pow1/3 associate-*r* *-commutative
Counts
4 → 100
Calls
4 calls:
2.0ms
(cbrt (+ a (* b c)))
3.0ms
(cbrt (+ a (* b c)))
7.0ms
(* c (* i (cbrt (+ a (* b c)))))
18.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* c (* i (cbrt (+ a (* b c))))))

series116.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(cbrt (+ a (* b c)))
28.0ms
(cbrt (+ a (* b c)))
40.0ms
(* c (* i (cbrt (+ a (* b c)))))
21.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* c (* i (cbrt (+ a (* b c))))))

simplify64.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
049912008
149912008

prune161.0ms

Filtered
68 candidates to 112 candidates (-64.7%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New1102112
Fresh178
Picked011
Done011
Total11111122

Merged error: 0.7b

Counts
122 → 11

localize26.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (* (cbrt (* c (* (cbrt (+ a (* b c))) i))) (cbrt (* c (* (cbrt (+ a (* b c))) i)))) (cbrt (* c (* (cbrt (+ a (* b c))) i)))))
10.7b
(cbrt (* c (* (cbrt (+ a (* b c))) i)))
10.7b
(cbrt (* c (* (cbrt (+ a (* b c))) i)))
10.7b
(cbrt (* c (* (cbrt (+ a (* b c))) i)))

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
1308×cbrt-div
680×associate-*l/
644×associate-*r/
568×frac-times
408×flip3-+ flip-+
25×pow1 add-exp-log
19×pow-prod-down
15×prod-exp cbrt-unprod
11×add-cbrt-cube
8×pow1/3
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×cbrt-prod
1×associate-*r* associate-*l* *-commutative
Counts
4 → 304
Calls
4 calls:
34.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (* (cbrt (* c (* (cbrt (+ a (* b c))) i))) (cbrt (* c (* (cbrt (+ a (* b c))) i)))) (cbrt (* c (* (cbrt (+ a (* b c))) i)))))
6.0ms
(cbrt (* c (* (cbrt (+ a (* b c))) i)))
6.0ms
(cbrt (* c (* (cbrt (+ a (* b c))) i)))
6.0ms
(cbrt (* c (* (cbrt (+ a (* b c))) i)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (* (cbrt (+ a (* b c))) (cbrt (+ a (* b c)))) (* (* (cbrt (* c (* (cbrt (+ a (* b c))) i))) (cbrt (* c (* (cbrt (+ a (* b c))) i)))) (cbrt (* c (* (cbrt (+ a (* b c))) i)))))
65.0ms
(cbrt (* c (* (cbrt (+ a (* b c))) i)))
66.0ms
(cbrt (* c (* (cbrt (+ a (* b c))) i)))
64.0ms
(cbrt (* c (* (cbrt (+ a (* b c))) i)))

simplify231.0ms

Algorithm
egg-herbie
Counts
316 → 316
Iterations

Useful iterations: 0 (139.0ms)

IterNodesCost
0574320964

prune275.0ms

Filtered
120 candidates to 316 candidates (-163.3%)
Pruning

11 alts after pruning (8 fresh and 3 done)

PrunedKeptTotal
New3160316
Fresh088
Picked011
Done022
Total31611327

Merged error: 0.7b

Counts
327 → 11

regimes1.9s

Accuracy

0% (1.1b remaining)

Error of 1.9b against oracle of 0.8b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09419
19419

end0.0ms

sample1.6s

Algorithm
intervals
Results
505.0ms8000×body80valid
444.0ms7221×body80invalid

Profiling

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