Details

Time bar (total: 33.0s)

sample107.0ms

Algorithm
intervals
Results
56.0ms475×body80valid

simplify9.7s

Counts
1 → 1
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
01819
13318
28717
325417
483617
5198317
6387617
7474917
done500017

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize25.0ms

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)

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity
associate-*r* add-log-exp
expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
fma-udef
*-commutative
distribute-rgt-in sub-neg flip3-- distribute-lft-in fma-neg diff-log prod-diff flip-- unswap-sqr
Counts
4 → 68
Calls
4 calls:
0.0ms
(fma y x (- (* z t) (* (* c (fma c b a)) i)))
17.0ms
(- (* z t) (* (* c (fma c b a)) i))
8.0ms
(* c (fma c b a))
24.0ms
(* (* c (fma c b a)) i)

series1.1s

Counts
4 → 12
Calls
4 calls:
717.0ms
(fma y x (- (* z t) (* (* c (fma c b a)) i)))
217.0ms
(- (* z t) (* (* c (fma c b a)) i))
59.0ms
(* c (fma c b a))
68.0ms
(* (* c (fma c b a)) i)

simplify3.7s

Counts
80 → 80
Iterations

Useful iterations: 3 (1.6s)

IterNodesCost
01191053
12631007
2906887
34747862
done5000862

prune444.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-*l*
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
add-cube-cbrt *-un-lft-identity
fma-udef
distribute-rgt-in distribute-lft-in
expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in
*-commutative
distribute-lft-neg-out neg-mul-1 unswap-sqr
Counts
4 → 74
Calls
4 calls:
0.0ms
(fma z t (* (- i) (* c (fma c b a))))
0.0ms
(fma y x (fma z t (* (- i) (* c (fma c b a)))))
7.0ms
(* c (fma c b a))
21.0ms
(* (- i) (* c (fma c b a)))

series1.1s

Counts
4 → 12
Calls
4 calls:
219.0ms
(fma z t (* (- i) (* c (fma c b a))))
736.0ms
(fma y x (fma z t (* (- i) (* c (fma c b a)))))
45.0ms
(* c (fma c b a))
78.0ms
(* (- i) (* c (fma c b a)))

simplify3.0s

Counts
86 → 86
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
01181044
12611024
2818870
33965870
done5000870

prune490.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-udef
expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
distribute-lft-neg-out
distribute-rgt-in distribute-lft-in associate-*l* *-commutative
Counts
3 → 43
Calls
3 calls:
0.0ms
(fma z t (* (* (- i) c) (fma c b a)))
0.0ms
(fma y x (fma z t (* (* (- i) c) (fma c b a))))
39.0ms
(* (* (- i) c) (fma c b a))

series1.0s

Counts
3 → 9
Calls
3 calls:
178.0ms
(fma z t (* (* (- i) c) (fma c b a)))
760.0ms
(fma y x (fma z t (* (* (- i) c) (fma c b a))))
77.0ms
(* (* (- i) c) (fma c b a))

simplify3.8s

Counts
52 → 52
Iterations

Useful iterations: 2 (159.0ms)

IterNodesCost
086746
1191729
2746603
34008603
done5000603

prune295.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-*l*
11×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
add-cube-cbrt *-un-lft-identity
fma-udef
distribute-rgt-in distribute-lft-in
expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in
*-commutative
distribute-lft-neg-out neg-mul-1 unswap-sqr
Counts
4 → 74
Calls
4 calls:
0.0ms
(fma z t (* (- i) (* c (fma c b a))))
0.0ms
(fma y x (pow (fma z t (* (- i) (* c (fma c b a)))) 1))
8.0ms
(* c (fma c b a))
47.0ms
(* (- i) (* c (fma c b a)))

series929.0ms

Counts
4 → 12
Calls
4 calls:
170.0ms
(fma z t (* (- i) (* c (fma c b a))))
621.0ms
(fma y x (pow (fma z t (* (- i) (* c (fma c b a)))) 1))
59.0ms
(* c (fma c b a))
78.0ms
(* (- i) (* c (fma c b a)))

simplify3.0s

Counts
86 → 86
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
01191068
12661024
2847870
34159870
done5000870

prune425.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.5b

regimes578.0ms

Accuracy

0% (0.8b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01617
12117
22917
33317
done3317

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s14997×body80valid