Details

Time bar (total: 8.6s)

analyze2.2s

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

sample97.0ms

Algorithm
intervals
Results
36.0ms386×body80invalid
21.0ms256×body80valid

simplify307.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (305.0ms)

IterNodesCost
0495529
1495529

prune12.0ms

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: 15.8b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

0.4b
(- (* c z) (* i a))
3.8b
(* x (- (* y z) (* t a)))
6.6b
(* b (- (* c z) (* i a)))
8.8b
(* j (- (* c t) (* i y)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
7×sub-neg
6×associate-*r/ add-log-exp
4×flip3-- flip--
3×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×diff-log
Counts
4 → 77
Calls
4 calls:
4.0ms
(- (* c z) (* i a))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* j (- (* c t) (* i y)))

series68.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(- (* c z) (* i a))
19.0ms
(* x (- (* y z) (* t a)))
18.0ms
(* b (- (* c z) (* i a)))
21.0ms
(* j (- (* c t) (* i y)))

simplify48.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
04926937
14926937

prune195.0ms

Filtered
62 candidates to 89 candidates (-43.5%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New751489
Fresh000
Picked101
Done000
Total761490

Merged error: 5.1b

Counts
90 → 14

localize24.0ms

Local error

Found 4 expressions with local error:

2.8b
(* i (* a (neg b)))
3.8b
(* x (- (* y z) (* t a)))
6.4b
(* c (* b z))
8.8b
(* j (- (* c t) (* i y)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
12×associate-*l*
10×add-cube-cbrt *-un-lft-identity
8×associate-*r* pow-prod-down prod-exp cbrt-unprod
4×sub-neg associate-*r/ *-commutative add-log-exp
2×distribute-rgt-in flip3-- distribute-lft-in distribute-rgt-neg-out flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
5.0ms
(* i (* a (neg b)))
6.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* c (* b z))
6.0ms
(* j (- (* c t) (* i y)))

series52.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* i (* a (neg b)))
22.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* c (* b z))
18.0ms
(* j (- (* c t) (* i y)))

simplify33.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (26.0ms)

IterNodesCost
05038786

prune212.0ms

Filtered
62 candidates to 93 candidates (-50.0%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New86793
Fresh21113
Picked101
Done000
Total8918107

Merged error: 4.6b

Counts
107 → 18

localize22.0ms

Local error

Found 4 expressions with local error:

2.8b
(* i (* a (neg b)))
3.8b
(* x (- (* y z) (* t a)))
5.3b
(* (* c b) z)
8.8b
(* j (- (* c t) (* i y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log add-cbrt-cube
14×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity associate-*r* associate-*l*
8×pow-prod-down prod-exp cbrt-unprod
4×sub-neg associate-*r/ *-commutative add-log-exp
2×distribute-rgt-in flip3-- distribute-lft-in distribute-rgt-neg-out flip-- unswap-sqr
Counts
4 → 81
Calls
4 calls:
5.0ms
(* i (* a (neg b)))
6.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* (* c b) z)
6.0ms
(* j (- (* c t) (* i y)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* i (* a (neg b)))
19.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* (* c b) z)
19.0ms
(* j (- (* c t) (* i y)))

simplify36.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
05142787

prune196.0ms

Filtered
63 candidates to 93 candidates (-47.6%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New93093
Fresh01717
Picked011
Done000
Total9318111

Merged error: 4.6b

Counts
111 → 18

localize30.0ms

Local error

Found 4 expressions with local error:

1.9b
(* (* (cbrt i) (cbrt i)) (* a (* (neg b) (cbrt i))))
3.8b
(* x (- (* y z) (* t a)))
6.4b
(* c (* b z))
8.8b
(* j (- (* c t) (* i y)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
34×pow1 add-exp-log
26×add-cbrt-cube
20×pow-prod-down prod-exp cbrt-unprod
13×add-sqr-sqrt
10×associate-*l*
9×add-cube-cbrt *-un-lft-identity
8×associate-*r*
4×sub-neg associate-*r/ *-commutative add-log-exp
2×distribute-rgt-in flip3-- distribute-lft-in distribute-rgt-neg-out flip-- unswap-sqr
1×distribute-lft-neg-out
Counts
4 → 91
Calls
4 calls:
12.0ms
(* (* (cbrt i) (cbrt i)) (* a (* (neg b) (cbrt i))))
6.0ms
(* x (- (* y z) (* t a)))
5.0ms
(* c (* b z))
6.0ms
(* j (- (* c t) (* i y)))

series57.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(* (* (cbrt i) (cbrt i)) (* a (* (neg b) (cbrt i))))
22.0ms
(* x (- (* y z) (* t a)))
6.0ms
(* c (* b z))
18.0ms
(* j (- (* c t) (* i y)))

simplify50.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04998864
14998864

prune83.0ms

Filtered
60 candidates to 103 candidates (-71.7%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1021103
Fresh01616
Picked101
Done011
Total10318121

Merged error: 4.6b

Counts
121 → 18

regimes2.0s

Accuracy

32% (6.1b remaining)

Error of 9.8b against oracle of 3.7b and baseline of 12.6b

bsearch150.0ms

Steps
ItersRangePoint
9
4.7784237518656755e+117
2.5470008231985636e+124
2.411129705581588e+119
8
-1.537940088709997e+115
-1.813530530954318e+111
-7.566950384146672e+111

simplify19.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (18.0ms)

IterNodesCost
0909122
1909122

end0.0ms

sample2.6s

Algorithm
intervals
Results
935.0ms11035×body80invalid
692.0ms8000×body80valid

Profiling

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