Details

Time bar (total: 17.6s)

sample100.0ms

Algorithm
intervals
Results
40.0ms485×body80valid

simplify3.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
01819
13318
28717
326217
496617
5353617
done500017

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z t) (* (* c (fma c b a)) i))
0.1b
(* c (fma c b a))
8.9b
(* (* c (fma c b a)) i)

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
5×add-log-exp
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u
2×*-commutative fma-udef
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in fma-neg diff-log prod-diff flip-- unswap-sqr
Counts
3 → 58
Calls
3 calls:
9.0ms
(- (* z t) (* (* c (fma c b a)) i))
8.0ms
(* c (fma c b a))
34.0ms
(* (* c (fma c b a)) i)

series279.0ms

Counts
3 → 9
Calls
3 calls:
170.0ms
(- (* z t) (* (* c (fma c b a)) i))
39.0ms
(* c (fma c b a))
69.0ms
(* (* c (fma c b a)) i)

simplify1.1s

Counts
67 → 67
Iterations

Useful iterations: 2 (186.0ms)

IterNodesCost
0106823
1268779
21425693
done5002693

prune431.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* z t) (pow (* (* i c) (fma c b a)) 1))
4.2b
(* (* i c) (fma c b a))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×prod-diff
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u fma-udef log1p-expm1-u
1×distribute-rgt-in sub-neg unpow-prod-down flip3-- distribute-lft-in fma-neg diff-log associate-*l* *-commutative flip-- sqr-pow
Counts
2 → 42
Calls
2 calls:
17.0ms
(- (* z t) (pow (* (* i c) (fma c b a)) 1))
40.0ms
(* (* i c) (fma c b a))

series229.0ms

Counts
2 → 6
Calls
2 calls:
160.0ms
(- (* z t) (pow (* (* i c) (fma c b a)) 1))
69.0ms
(* (* i c) (fma c b a))

simplify2.5s

Counts
48 → 48
Iterations

Useful iterations: done (2.5s)

IterNodesCost
0115998
1301731
21990599
done5002554

prune405.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.3b

localize36.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* z t) (* c (* (fma c b a) i)))
0.4b
(* (fma c b a) i)
6.3b
(* c (* (fma c b a) i))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*l*
5×add-log-exp
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u
2×*-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip-- unswap-sqr
Counts
3 → 56
Calls
3 calls:
17.0ms
(- (* z t) (* c (* (fma c b a) i)))
13.0ms
(* (fma c b a) i)
38.0ms
(* c (* (fma c b a) i))

series337.0ms

Counts
3 → 9
Calls
3 calls:
164.0ms
(- (* z t) (* c (* (fma c b a) i)))
72.0ms
(* (fma c b a) i)
101.0ms
(* c (* (fma c b a) i))

simplify966.0ms

Counts
65 → 65
Iterations

Useful iterations: 2 (215.0ms)

IterNodesCost
0102804
1246762
21170672
done5000672

prune535.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.3b

localize48.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma z t (- (* (* (fma c b a) i) c)))
0.4b
(* (fma c b a) i)
6.3b
(* (* (fma c b a) i) c)

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity associate-*r*
4×associate-*l* pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×*-commutative
1×fma-udef unswap-sqr
Counts
3 → 50
Calls
3 calls:
0.0ms
(fma z t (- (* (* (fma c b a) i) c)))
12.0ms
(* (fma c b a) i)
29.0ms
(* (* (fma c b a) i) c)

series445.0ms

Counts
3 → 9
Calls
3 calls:
249.0ms
(fma z t (- (* (* (fma c b a) i) c)))
85.0ms
(* (fma c b a) i)
112.0ms
(* (* (fma c b a) i) c)

simplify984.0ms

Counts
59 → 59
Iterations

Useful iterations: done (982.0ms)

IterNodesCost
086646
1185632
21019536
done5000532

prune436.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes1.5s

Accuracy

0% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01819
12417
done2417

end0.0ms

sample3.7s

Algorithm
intervals
Results
1.6s15191×body80valid