Details

Time bar (total: 33.9s)

sample89.0ms

Algorithm
intervals
Results
37.0ms475×body80valid

simplify9.0s

Counts
1 → 1
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
01819
13318
28717
325417
483617
5198317
6387617
7474917
done500017

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y x (- (* z t) (* (* c (fma c b a)) i)))
0.0b
(- (* z t) (* (* c (fma c b a)) i))
0.1b
(* c (fma c b a))
6.3b
(* (* c (fma c b a)) i)

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
9×add-sqr-sqrt
7×add-cube-cbrt *-un-lft-identity
6×associate-*r* add-log-exp
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
3×fma-udef
2×*-commutative
1×distribute-rgt-in sub-neg flip3-- distribute-lft-in fma-neg diff-log prod-diff flip-- unswap-sqr
Counts
4 → 68
Calls
4 calls:
1.0ms
(fma y x (- (* z t) (* (* c (fma c b a)) i)))
15.0ms
(- (* z t) (* (* c (fma c b a)) i))
12.0ms
(* c (fma c b a))
42.0ms
(* (* c (fma c b a)) i)

series905.0ms

Counts
4 → 12
Calls
4 calls:
660.0ms
(fma y x (- (* z t) (* (* c (fma c b a)) i)))
140.0ms
(- (* z t) (* (* c (fma c b a)) i))
40.0ms
(* c (fma c b a))
64.0ms
(* (* c (fma c b a)) i)

simplify4.0s

Counts
80 → 80
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
01191053
12631007
2906887
34747862
done5000862

prune446.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma t z (* (- i) (* c (fma c b a))))
0.0b
(fma y x (fma t z (* (- i) (* c (fma c b a)))))
0.1b
(* c (fma c b a))
6.3b
(* (- i) (* c (fma c b a)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-*l*
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
8×fma-udef
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×*-commutative
1×distribute-lft-neg-out neg-mul-1 unswap-sqr
Counts
4 → 74
Calls
4 calls:
1.0ms
(fma t z (* (- i) (* c (fma c b a))))
1.0ms
(fma y x (fma t z (* (- i) (* c (fma c b a)))))
15.0ms
(* c (fma c b a))
29.0ms
(* (- i) (* c (fma c b a)))

series1.2s

Counts
4 → 12
Calls
4 calls:
237.0ms
(fma t z (* (- i) (* c (fma c b a))))
866.0ms
(fma y x (fma t z (* (- i) (* c (fma c b a)))))
45.0ms
(* c (fma c b a))
99.0ms
(* (- i) (* c (fma c b a)))

simplify3.4s

Counts
86 → 86
Iterations

Useful iterations: 2 (199.0ms)

IterNodesCost
01171044
12611024
2816870
33995870
done5001870

prune548.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma y x (fma t z (* (* (- i) c) (fma c b a))))
0.0b
(fma t z (* (* (- i) c) (fma c b a)))
4.2b
(* (* (- i) c) (fma c b a))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
8×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-udef
3×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
2×distribute-lft-neg-out
1×distribute-rgt-in distribute-lft-in associate-*l* *-commutative
Counts
3 → 43
Calls
3 calls:
0.0ms
(fma y x (fma t z (* (* (- i) c) (fma c b a))))
1.0ms
(fma t z (* (* (- i) c) (fma c b a)))
49.0ms
(* (* (- i) c) (fma c b a))

series994.0ms

Counts
3 → 9
Calls
3 calls:
674.0ms
(fma y x (fma t z (* (* (- i) c) (fma c b a))))
239.0ms
(fma t z (* (* (- i) c) (fma c b a)))
81.0ms
(* (* (- i) c) (fma c b a))

simplify3.3s

Counts
52 → 52
Iterations

Useful iterations: 2 (155.0ms)

IterNodesCost
085746
1191729
2745603
33998603
done5000603

prune573.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma y x (fma t z (* (- i) (* 1 (* (fma c b a) c)))))
0.0b
(fma t z (* (- i) (* 1 (* (fma c b a) c))))
0.1b
(* (fma c b a) c)
6.3b
(* (- i) (* 1 (* (fma c b a) c)))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log
15×pow1 add-cbrt-cube
13×associate-*l*
12×prod-exp
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×pow-prod-down cbrt-unprod
4×expm1-log1p-u associate-*r* log1p-expm1-u add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in
2×1-exp *-commutative fma-udef
1×distribute-lft-neg-out neg-mul-1 unswap-sqr
Counts
4 → 73
Calls
4 calls:
0.0ms
(fma y x (fma t z (* (- i) (* 1 (* (fma c b a) c)))))
0.0ms
(fma t z (* (- i) (* 1 (* (fma c b a) c))))
7.0ms
(* (fma c b a) c)
57.0ms
(* (- i) (* 1 (* (fma c b a) c)))

series1.1s

Counts
4 → 12
Calls
4 calls:
787.0ms
(fma y x (fma t z (* (- i) (* 1 (* (fma c b a) c)))))
210.0ms
(fma t z (* (- i) (* 1 (* (fma c b a) c))))
37.0ms
(* (fma c b a) c)
81.0ms
(* (- i) (* 1 (* (fma c b a) c)))

simplify3.2s

Counts
85 → 85
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01221174
12591018
2843870
33719846
done5001846

prune439.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

regimes539.0ms

Accuracy

0% (0.8b remaining)

Error of 1.5b against oracle of 0.7b and baseline of 1.5b

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01617
12117
22917
33317
done3317

end0.0ms

sample3.6s

Algorithm
intervals
Results
1.9s14997×body80valid