Details

Time bar (total: 23.8s)

sample158.0ms

Algorithm
intervals
Results
101.0ms637×body80valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: 4 (260.0ms)

IterNodesCost
02329
14729
211028
333328
490727
5281727
done500027

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* y z) (* t a))
4.6b
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
5.8b
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
6.1b
(* j (- (* c a) (* y i)))

rewrite59.0ms

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:
17.0ms
(- (* y z) (* t a))
0.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
0.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
40.0ms
(* j (- (* c a) (* y i)))

series1.2s

Counts
4 → 12
Calls
4 calls:
53.0ms
(- (* y z) (* t a))
695.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i)))))
313.0ms
(fma b (- (* t i) (* c z)) (* j (- (* c a) (* y i))))
105.0ms
(* j (- (* c a) (* y i)))

simplify2.1s

Counts
76 → 76
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01371239
13181223
28921071
331251071
done50001056

prune561.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.2b

localize56.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (cbrt j) (- (* c a) (* y i)))
4.3b
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
4.6b
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))))
5.8b
(fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))

rewrite220.0ms

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:
62.0ms
(* (cbrt j) (- (* c a) (* y i)))
150.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
1.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))))
1.0ms
(fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i)))))

series1.9s

Counts
4 → 12
Calls
4 calls:
436.0ms
(* (cbrt j) (- (* c a) (* y i)))
163.0ms
(* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))
937.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (* (* (cbrt j) (cbrt j)) (* (cbrt j) (- (* c a) (* y i))))))
399.0ms
(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
216271676
done50011426

prune660.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.6b

localize33.0ms

Local error

Found 4 expressions with local error:

4.6b
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (+ (* a (* j c)) (- (* i (* y j))))))
5.1b
(* a (* j c))
5.7b
(* i (* y j))
5.8b
(fma b (- (* t i) (* c z)) (+ (* a (* j c)) (- (* i (* y j)))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
14×pow1 add-exp-log add-cbrt-cube
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
2×associate-*r* *-commutative fma-udef
Counts
4 → 60
Calls
4 calls:
1.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (+ (* a (* j c)) (- (* i (* y j))))))
19.0ms
(* a (* j c))
20.0ms
(* i (* y j))
1.0ms
(fma b (- (* t i) (* c z)) (+ (* a (* j c)) (- (* i (* y j)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
792.0ms
(fma x (- (* y z) (* t a)) (fma b (- (* t i) (* c z)) (+ (* a (* j c)) (- (* i (* y j))))))
48.0ms
(* a (* j c))
31.0ms
(* i (* y j))
345.0ms
(fma b (- (* t i) (* c z)) (+ (* a (* j c)) (- (* i (* y j)))))

simplify1.8s

Counts
72 → 72
Iterations

Useful iterations: 3 (867.0ms)

IterNodesCost
01131048
12531014
2810852
32784812
done5001812

prune391.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.6b

localize46.0ms

Local error

Found 4 expressions with local error:

5.8b
(fma j (- (* a c) (* i y)) (* b (- (* t i) (* c z))))
6.3b
(* b (- (* t i) (* c z)))
6.3b
(* b (- (* t i) (* c z)))
6.3b
(* b (- (* t i) (* c z)))

rewrite108.0ms

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:
0.0ms
(fma j (- (* a c) (* i y)) (* b (- (* t i) (* c z))))
29.0ms
(* b (- (* t i) (* c z)))
38.0ms
(* b (- (* t i) (* c z)))
38.0ms
(* b (- (* t i) (* c z)))

series573.0ms

Counts
4 → 12
Calls
4 calls:
307.0ms
(fma j (- (* a c) (* i y)) (* b (- (* t i) (* c z))))
84.0ms
(* b (- (* t i) (* c z)))
88.0ms
(* b (- (* t i) (* c z)))
94.0ms
(* b (- (* t i) (* c z)))

simplify1.8s

Counts
106 → 106
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0881427
11981416
25391249
319371249
done50001219

prune763.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 5.6b

regimes1.0s

Accuracy

-9.5% (8.9b remaining)

Error of 13.3b against oracle of 4.3b and baseline of 12.5b

bsearch349.0ms

Steps
ItersRangePoint
7
2.1518910996029413e-255
4.841791522700467e-254
3.363483265951427e-255
7
-6.104363038084202e-249
-8.296279376326276e-251
-4.2705413563226304e-250
5
-4.90105109200061e+89
-1.3519729078809863e+89
-4.678704205438576e+89

simplify11.0ms

Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
046121
16992
27792
done7792

end0.0ms

sample4.8s

Algorithm
intervals
Results
3.6s19224×body80valid