Details

Time bar (total: 7.7s)

sample85.0ms

Algorithm
intervals
Results
48.0ms615×body80valid

simplify86.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
04714
111013
233513
3105913
4344213
5500113

prune12.0ms

Filtered
1 candidates to 1 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 14.9b

Counts
2 → 2

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) (* t a))
5.7b
(* j (- (* c t) (* i y)))
5.7b
(* b (- (* c z) (* i a)))
7.6b
(* x (- (* y z) (* t a)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×distribute-rgt-in distribute-lft-in associate-*r* associate-*l*
7×sub-neg prod-diff
6×associate-*r/ add-log-exp
4×expm1-log1p-u flip3-- flip-- log1p-expm1-u
3×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log
Counts
4 → 100
Calls
4 calls:
4.0ms
(- (* y z) (* t a))
6.0ms
(* j (- (* c t) (* i y)))
8.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* x (- (* y z) (* t a)))

series239.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(- (* y z) (* t a))
68.0ms
(* j (- (* c t) (* i y)))
67.0ms
(* b (- (* c z) (* i a)))
66.0ms
(* x (- (* y z) (* t a)))

simplify59.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0478643
11976572
25001572

prune489.0ms

Filtered
112 candidates to 82 candidates (73.2%)
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New8923112
Fresh011
Picked101
Done000
Total9024114

Merged error: 11.0b

Counts
114 → 24

localize24.0ms

Local error

Found 4 expressions with local error:

5.7b
(* j (- (* c t) (* i y)))
5.7b
(* b (- (* c z) (* i a)))
7.6b
(* x (fma y z (- (* a t))))
48.4b
(fma (- a) t (* a t))

rewrite20.0ms

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×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
2×flip3-- flip--
Counts
4 → 88
Calls
4 calls:
6.0ms
(* j (- (* c t) (* i y)))
6.0ms
(* b (- (* c z) (* i a)))
4.0ms
(* x (fma y z (- (* a t))))
3.0ms
(fma (- a) t (* a t))

series231.0ms

Counts
4 → 12
Calls
4 calls:
66.0ms
(* j (- (* c t) (* i y)))
67.0ms
(* b (- (* c z) (* i a)))
72.0ms
(* x (fma y z (- (* a t))))
26.0ms
(fma (- a) t (* a t))

simplify54.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0412562
11685493
25001493

prune470.0ms

Filtered
100 candidates to 71 candidates (71.0%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New991100
Fresh12223
Picked101
Done000
Total10123124

Merged error: 11.0b

Counts
124 → 23

localize28.0ms

Local error

Found 4 expressions with local error:

5.7b
(* j (fma c t (- (* y i))))
5.7b
(* b (- (* c z) (* i a)))
7.6b
(* x (- (* y z) (* t a)))
50.5b
(fma (- y) i (* y i))

rewrite19.0ms

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×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u sub-neg associate-*r/ prod-diff log1p-expm1-u add-log-exp
3×pow-prod-down prod-exp *-commutative cbrt-unprod fma-udef unswap-sqr
2×flip3-- flip--
Counts
4 → 88
Calls
4 calls:
4.0ms
(* j (fma c t (- (* y i))))
6.0ms
(* b (- (* c z) (* i a)))
6.0ms
(* x (- (* y z) (* t a)))
1.0ms
(fma (- y) i (* y i))

series235.0ms

Counts
4 → 12
Calls
4 calls:
70.0ms
(* j (fma c t (- (* y i))))
69.0ms
(* b (- (* c z) (* i a)))
70.0ms
(* x (- (* y z) (* t a)))
26.0ms
(fma (- y) i (* y i))

simplify55.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0411562
11680493
25002493

prune479.0ms

Filtered
100 candidates to 71 candidates (71.0%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New982100
Fresh12122
Picked101
Done000
Total10023123

Merged error: 11.0b

Counts
123 → 23

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) (* t a))
5.1b
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
5.7b
(* b (- (* c z) (* i a)))
7.6b
(* x (- (* y z) (* t a)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
8×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×distribute-rgt-in distribute-lft-in associate-*r* associate-*l* add-log-exp
5×sub-neg prod-diff
4×expm1-log1p-u associate-*r/ log1p-expm1-u
3×flip3-- flip--
2×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×fma-neg diff-log fma-udef
Counts
4 → 82
Calls
4 calls:
4.0ms
(- (* y z) (* t a))
1.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
7.0ms
(* b (- (* c z) (* i a)))
7.0ms
(* x (- (* y z) (* t a)))

series809.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(- (* y z) (* t a))
611.0ms
(fma (- (* c t) (* i y)) j (- (* x (- (* y z) (* t a))) (* b (- (* c z) (* i a)))))
76.0ms
(* b (- (* c z) (* i a)))
74.0ms
(* x (- (* y z) (* t a)))

simplify51.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0373645
11485568
25001568

prune369.0ms

Filtered
94 candidates to 71 candidates (75.5%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New87794
Fresh61622
Picked101
Done000
Total9423117

Merged error: 6.1b

Counts
117 → 23

regimes1.2s

Accuracy

4.2% (7.5b remaining)

Error of 12.0b against oracle of 4.5b and baseline of 12.3b

bsearch140.0ms

Steps
ItersRangePoint
9
5.788678874819057e+134
9.339557178632206e+143
1.1891974993124929e+142

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05326
15326

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.5s19073×body80valid