Details

Time bar (total: 8.4s)

analyze1.7s

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

sample57.0ms

Algorithm
intervals
Results
15.0ms256×body80valid
14.0ms244×body80invalid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
017519
117519

prune21.0ms

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: 0.9b

Counts
2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ a (* b c))
0.0b
(- (* z t) (* c (* (+ a (* b c)) i)))
0.8b
(* (+ a (* b c)) i)
4.4b
(* c (* (+ a (* b c)) i))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
add-log-exp
add-cube-cbrt *-un-lft-identity
associate-*l*
associate-*r* pow-prod-down associate-*l/ prod-exp cbrt-unprod
flip3-+ flip-+
associate-*r/ *-commutative
+-commutative sub-neg flip3-- diff-log sum-log flip-- unswap-sqr
Counts
4 → 62
Calls
4 calls:
3.0ms
(+ a (* b c))
3.0ms
(- (* z t) (* c (* (+ a (* b c)) i)))
5.0ms
(* (+ a (* b c)) i)
6.0ms
(* c (* (+ a (* b c)) i))

series79.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(+ a (* b c))
45.0ms
(- (* z t) (* c (* (+ a (* b c)) i)))
13.0ms
(* (+ a (* b c)) i)
14.0ms
(* c (* (+ a (* b c)) i))

simplify47.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05640777

prune163.0ms

Filtered
57 candidates to 74 candidates (-29.8%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New631174
Fresh011
Picked011
Done000
Total631376

Merged error: 0.8b

Counts
76 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

4.4b
(* c (* (+ a (* c b)) i))
10.7b
(cbrt (* c (* (+ a (* c b)) i)))
10.7b
(cbrt (* c (* (+ a (* c b)) i)))
10.7b
(cbrt (* c (* (+ a (* c b)) i)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r/ associate-*l/
cbrt-div
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
flip3-+ flip-+ add-log-exp
cbrt-prod pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
associate-*r* *-commutative
Counts
4 → 53
Calls
4 calls:
6.0ms
(* c (* (+ a (* c b)) i))
5.0ms
(cbrt (* c (* (+ a (* c b)) i)))
5.0ms
(cbrt (* c (* (+ a (* c b)) i)))
5.0ms
(cbrt (* c (* (+ a (* c b)) i)))

series153.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* c (* (+ a (* c b)) i))
47.0ms
(cbrt (* c (* (+ a (* c b)) i)))
45.0ms
(cbrt (* c (* (+ a (* c b)) i)))
47.0ms
(cbrt (* c (* (+ a (* c b)) i)))

simplify52.0ms

Algorithm
egg-herbie
Counts
65 → 65
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05133756

prune146.0ms

Filtered
53 candidates to 65 candidates (-22.6%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New65065
Fresh01111
Picked011
Done011
Total651378

Merged error: 0.8b

Counts
78 → 13

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt i)
0.6b
(cbrt i)
1.0b
(* (+ a (* c b)) (* (cbrt i) (cbrt i)))
4.4b
(* c (* (* (+ a (* c b)) (* (cbrt i) (cbrt i))) (cbrt i)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log
16×add-cbrt-cube
13×pow-prod-down prod-exp cbrt-unprod
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
cbrt-prod associate-*l* associate-*l/
add-log-exp
flip3-+ pow1/3 associate-*r/ associate-*r* *-commutative flip-+
unswap-sqr
Counts
4 → 69
Calls
4 calls:
1.0ms
(cbrt i)
1.0ms
(cbrt i)
8.0ms
(* (+ a (* c b)) (* (cbrt i) (cbrt i)))
13.0ms
(* c (* (* (+ a (* c b)) (* (cbrt i) (cbrt i))) (cbrt i)))

series113.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt i)
22.0ms
(cbrt i)
51.0ms
(* (+ a (* c b)) (* (cbrt i) (cbrt i)))
19.0ms
(* c (* (* (+ a (* c b)) (* (cbrt i) (cbrt i))) (cbrt i)))

simplify65.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04958647
14958647

prune145.0ms

Filtered
52 candidates to 81 candidates (-55.8%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New80181
Fresh01010
Picked011
Done022
Total801494

Merged error: 0.8b

Counts
94 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ a (* b c))
0.0b
(+ (* x y) (* z t))
0.1b
(* (+ a (* b c)) c)
8.0b
(* (* (+ a (* b c)) c) i)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
add-log-exp
add-cube-cbrt *-un-lft-identity
associate-*r* associate-*l/
flip3-+ associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+
+-commutative sum-log *-commutative
unswap-sqr
Counts
4 → 62
Calls
4 calls:
3.0ms
(+ a (* b c))
3.0ms
(+ (* x y) (* z t))
5.0ms
(* (+ a (* b c)) c)
6.0ms
(* (* (+ a (* b c)) c) i)

series45.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ a (* b c))
10.0ms
(+ (* x y) (* z t))
12.0ms
(* (+ a (* b c)) c)
17.0ms
(* (* (+ a (* b c)) c) i)

simplify42.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05002662

prune82.0ms

Filtered
56 candidates to 74 candidates (-32.1%)
Pruning

12 alts after pruning (8 fresh and 4 done)

PrunedKeptTotal
New72274
Fresh4610
Picked011
Done033
Total761288

Merged error: 0.8b

Counts
88 → 12

regimes2.1s

Accuracy

0% (1.0b remaining)

Error of 1.8b against oracle of 0.8b and baseline of 1.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02619
12619

end0.0ms

analyze1.6s

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

sample1.6s

Algorithm
intervals
Results
484.0ms8000×body80valid
438.0ms7094×body80invalid

Profiling

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