Details

Time bar (total: 24.1s)

sample157.0ms

Algorithm
intervals
Results
81.0ms580×body80valid

simplify3.1s

Counts
1 → 1
Iterations

Useful iterations: 4 (277.0ms)

IterNodesCost
02329
14729
211028
333328
490727
5281727
done500027

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.6b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) (* t a))
3.3b
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
4.0b
(* j (- (* c a) (* y i)))
4.8b
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×distribute-rgt-in sub-neg distribute-lft-in associate-*r* associate-*l* prod-diff
2×flip3-- associate-*r/ flip-- fma-udef
1×fma-neg diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 64
Calls
4 calls:
9.0ms
(- (* y z) (* t a))
0.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
29.0ms
(* j (- (* c a) (* y i)))
0.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))

series1.3s

Counts
4 → 12
Calls
4 calls:
70.0ms
(- (* y z) (* t a))
838.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
116.0ms
(* j (- (* c a) (* y i)))
298.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))

simplify2.3s

Counts
76 → 76
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01371239
13181223
28941071
331321071
done50001056

prune675.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.4b

localize40.0ms

Local error

Found 4 expressions with local error:

1.8b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
2.4b
(* (cbrt j) (- (* c a) (* y i)))
3.3b
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))))
4.8b
(fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
15×distribute-rgt-in distribute-lft-in
11×add-sqr-sqrt add-cbrt-cube
9×pow-prod-down prod-exp cbrt-unprod
7×add-cube-cbrt *-un-lft-identity associate-*l*
6×sub-neg associate-*r/ prod-diff
4×cbrt-prod expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×flip3-- *-commutative flip-- fma-udef unswap-sqr
Counts
4 → 90
Calls
4 calls:
96.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
54.0ms
(* (cbrt j) (- (* c a) (* y i)))
0.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))))
0.0ms
(fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))

series1.8s

Counts
4 → 12
Calls
4 calls:
126.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
386.0ms
(* (cbrt j) (- (* c a) (* y i)))
892.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))))
440.0ms
(fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))

simplify1.3s

Counts
102 → 102
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01692229
14402201
216261644
done50011426

prune486.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.6b

localize45.0ms

Local error

Found 4 expressions with local error:

4.8b
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
4.9b
(cbrt (- (* y z) (* t a)))
4.9b
(cbrt (- (* y z) (* t a)))
4.9b
(cbrt (- (* y z) (* t a)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-div
4×pow1 add-exp-log expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- pow1/3 flip--
1×fma-udef
Counts
4 → 55
Calls
4 calls:
0.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
6.0ms
(cbrt (- (* y z) (* t a)))
6.0ms
(cbrt (- (* y z) (* t a)))
6.0ms
(cbrt (- (* y z) (* t a)))

series814.0ms

Counts
4 → 12
Calls
4 calls:
301.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
160.0ms
(cbrt (- (* y z) (* t a)))
169.0ms
(cbrt (- (* y z) (* t a)))
184.0ms
(cbrt (- (* y z) (* t a)))

simplify1.7s

Counts
67 → 67
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01031112
12521071
2678982
31936958
done5001916

prune932.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.6b

localize43.0ms

Local error

Found 4 expressions with local error:

3.8b
(fma (fma y (- i) (* a c)) j (* b (- (* t i) (* c z))))
5.8b
(* b (- (* t i) (* c z)))
5.8b
(* b (- (* t i) (* c z)))
5.8b
(* b (- (* t i) (* c z)))

rewrite127.0ms

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*
6×sub-neg associate-*r/ prod-diff
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod unswap-sqr
1×fma-udef
Counts
4 → 94
Calls
4 calls:
1.0ms
(fma (fma y (- i) (* a c)) j (* b (- (* t i) (* c z))))
48.0ms
(* b (- (* t i) (* c z)))
32.0ms
(* b (- (* t i) (* c z)))
42.0ms
(* b (- (* t i) (* c z)))

series512.0ms

Counts
4 → 12
Calls
4 calls:
260.0ms
(fma (fma y (- i) (* a c)) j (* b (- (* t i) (* c z))))
79.0ms
(* b (- (* t i) (* c z)))
89.0ms
(* b (- (* t i) (* c z)))
84.0ms
(* b (- (* t i) (* c z)))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0881427
11951416
25351247
319091247
done50011217

prune688.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 4.6b

regimes966.0ms

Accuracy

15.2% (6.9b remaining)

Error of 11.6b against oracle of 4.7b and baseline of 12.8b

bsearch265.0ms

Steps
ItersRangePoint
8
9.201616150242529e-127
3.167411714483995e-124
1.9010577468955266e-125
7
-5.691602671047101e-107
-3.82602482373368e-109
-4.743013838503684e-108

simplify33.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
047115
168115
276115
done76115

end0.0ms

sample5.2s

Algorithm
intervals
Results
3.4s19074×body80valid