Details

Time bar (total: 40.0s)

sample157.0ms

Algorithm
intervals
Results
78.0ms489×body80valid

simplify7.8s

Counts
1 → 1
Iterations

Useful iterations: 5 (6.5s)

IterNodesCost
02831
16729
222127
375727
4262327
5439726
done500026

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma 4.0 (fma t a (* x i)) (* (* j 27.0) k))
0.0b
(fma (* (* t y) (* z x)) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
0.3b
(* (* j 27.0) k)
7.7b
(* (* t y) (* z x))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
21×pow1 add-exp-log add-cbrt-cube
11×pow-prod-down prod-exp cbrt-unprod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
2×associate-*l* *-commutative fma-udef
Counts
4 → 64
Calls
4 calls:
0.0ms
(fma 4.0 (fma t a (* x i)) (* (* j 27.0) k))
0.0ms
(fma (* (* t y) (* z x)) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
20.0ms
(* (* j 27.0) k)
66.0ms
(* (* t y) (* z x))

series3.9s

Counts
4 → 12
Calls
4 calls:
158.0ms
(fma 4.0 (fma t a (* x i)) (* (* j 27.0) k))
3.6s
(fma (* (* t y) (* z x)) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
33.0ms
(* (* j 27.0) k)
68.0ms
(* (* t y) (* z x))

simplify1.8s

Counts
76 → 76
Iterations

Useful iterations: 2 (295.0ms)

IterNodesCost
01331013
1299996
21168814
done5001814

prune530.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* (* (* t y) z) x) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
0.3b
(* (* j 27.0) k)
5.1b
(* (* t y) z)
5.9b
(* (* (* t y) z) x)

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
9×associate-*r*
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×associate-*l* *-commutative
1×fma-udef
Counts
4 → 73
Calls
4 calls:
1.0ms
(fma (* (* (* t y) z) x) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
37.0ms
(* (* j 27.0) k)
25.0ms
(* (* t y) z)
79.0ms
(* (* (* t y) z) x)

series3.7s

Counts
4 → 12
Calls
4 calls:
3.5s
(fma (* (* (* t y) z) x) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
21.0ms
(* (* j 27.0) k)
45.0ms
(* (* t y) z)
94.0ms
(* (* (* t y) z) x)

simplify2.6s

Counts
85 → 85
Iterations

Useful iterations: 2 (321.0ms)

IterNodesCost
0136946
1313928
21321760
done5000760

prune667.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* (* t (* z y)) x) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
0.3b
(* (* j 27.0) k)
4.7b
(* t (* z y))
5.9b
(* (* t (* z y)) x)

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r*
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
1×fma-udef
Counts
4 → 73
Calls
4 calls:
1.0ms
(fma (* (* t (* z y)) x) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
37.0ms
(* (* j 27.0) k)
40.0ms
(* t (* z y))
92.0ms
(* (* t (* z y)) x)

series3.8s

Counts
4 → 12
Calls
4 calls:
3.6s
(fma (* (* t (* z y)) x) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* (* j 27.0) k)))))
24.0ms
(* (* j 27.0) k)
40.0ms
(* t (* z y))
65.0ms
(* (* t (* z y)) x)

simplify1.7s

Counts
85 → 85
Iterations

Useful iterations: 2 (283.0ms)

IterNodesCost
0132945
1304929
21208761
done5001761

prune491.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (* (* t (* z y)) x) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j))))))
0.3b
(* 27.0 (* k j))
4.7b
(* t (* z y))
5.9b
(* (* t (* z y)) x)

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
23×pow1 add-exp-log add-cbrt-cube
12×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l*
5×associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
1×fma-udef
Counts
4 → 73
Calls
4 calls:
0.0ms
(fma (* (* t (* z y)) x) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j))))))
19.0ms
(* 27.0 (* k j))
27.0ms
(* t (* z y))
63.0ms
(* (* t (* z y)) x)

series3.5s

Counts
4 → 12
Calls
4 calls:
3.4s
(fma (* (* t (* z y)) x) 18.0 (fma c b (- (fma 4.0 (fma t a (* x i)) (* 27.0 (* k j))))))
42.0ms
(* 27.0 (* k j))
40.0ms
(* t (* z y))
56.0ms
(* (* t (* z y)) x)

simplify1.7s

Counts
85 → 85
Iterations

Useful iterations: 2 (199.0ms)

IterNodesCost
0128942
1290928
21143760
done5000760

prune490.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

84.7% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 6.1b

bsearch6.0ms

simplify15.0ms

Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
043139
162114
done62114

end0.0ms

sample4.9s

Algorithm
intervals
Results
3.3s16119×body80valid