Details

Time bar (total: 37.3s)

sample130.0ms

Algorithm
intervals
Results
59.0ms481×body80valid

simplify10.2s

Counts
1 → 1
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
01819
13318
28717
325417
483617
5198317
6387617
7474917
done500017

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize35.0ms

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))
6.8b
(* (* c (fma c b a)) i)

rewrite83.0ms

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)))
17.0ms
(- (* z t) (* (* c (fma c b a)) i))
15.0ms
(* c (fma c b a))
47.0ms
(* (* c (fma c b a)) i)

series1.1s

Counts
4 → 12
Calls
4 calls:
713.0ms
(fma y x (- (* z t) (* (* c (fma c b a)) i)))
184.0ms
(- (* z t) (* (* c (fma c b a)) i))
54.0ms
(* c (fma c b a))
114.0ms
(* (* c (fma c b a)) i)

simplify4.2s

Counts
80 → 80
Iterations

Useful iterations: 3 (1.8s)

IterNodesCost
01191053
12631007
2906887
34747862
done5000862

prune462.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.5b

localize20.0ms

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)))
1.5b
(* (fma c b a) i)
4.0b
(* c (* (fma c b a) i))

rewrite49.0ms

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-*l* add-log-exp
4×expm1-log1p-u associate-*r* pow-prod-down prod-exp cbrt-unprod log1p-expm1-u
2×*-commutative
1×sub-neg flip3-- fma-neg diff-log prod-diff flip-- fma-udef unswap-sqr
Counts
4 → 66
Calls
4 calls:
1.0ms
(fma y x (- (* z t) (* c (* (fma c b a) i))))
11.0ms
(- (* z t) (* c (* (fma c b a) i)))
8.0ms
(* (fma c b a) i)
26.0ms
(* c (* (fma c b a) i))

series1.7s

Counts
4 → 12
Calls
4 calls:
1.4s
(fma y x (- (* z t) (* c (* (fma c b a) i))))
194.0ms
(- (* z t) (* c (* (fma c b a) i)))
83.0ms
(* (fma c b a) i)
81.0ms
(* c (* (fma c b a) i))

simplify3.9s

Counts
78 → 78
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
01151034
1260990
2911870
34553846
done5000846

prune457.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 1.4b

localize43.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma y x (fma z t (* (- i) (* c (fma c b a)))))
0.1b
(* c (fma c b a))
6.8b
(* (- i) (* c (fma c b a)))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
13×associate-*l*
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
7×fma-udef
5×distribute-rgt-in distribute-lft-in
4×associate-*r* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in log1p-expm1-u add-log-exp
2×*-commutative
1×distribute-lft-neg-out neg-mul-1 unswap-sqr
Counts
3 → 64
Calls
3 calls:
1.0ms
(fma y x (fma z t (* (- i) (* c (fma c b a)))))
9.0ms
(* c (fma c b a))
23.0ms
(* (- i) (* c (fma c b a)))

series1.1s

Counts
3 → 9
Calls
3 calls:
950.0ms
(fma y x (fma z t (* (- i) (* c (fma c b a)))))
50.0ms
(* c (fma c b a))
121.0ms
(* (- i) (* c (fma c b a)))

simplify3.1s

Counts
73 → 73
Iterations

Useful iterations: 2 (235.0ms)

IterNodesCost
0108850
1252832
2796710
33819710
done5001710

prune381.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.4b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out associate-*r* *-commutative distribute-rgt-neg-out fma-udef
Counts
2 → 31
Calls
2 calls:
0.0ms
(fma y x (fma z t (* 1 (* (fma c b a) (* (- i) c)))))
21.0ms
(* (fma c b a) (* (- i) c))

series1.0s

Counts
2 → 6
Calls
2 calls:
934.0ms
(fma y x (fma z t (* 1 (* (fma c b a) (* (- i) c)))))
97.0ms
(* (fma c b a) (* (- i) c))

simplify4.0s

Counts
37 → 37
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
070546
1163509
2629431
33356415
done5001415

prune250.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.4b

regimes834.0ms

Accuracy

0% (1.0b remaining)

Error of 1.9b against oracle of 0.9b and baseline of 1.9b

bsearch0.0ms

simplify26.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
01819
12617
23417
34617
45017
done5017

end0.0ms

sample4.1s

Algorithm
intervals
Results
1.8s15221×body80valid