Details

Time bar (total: 16.5s)

sample76.0ms

Algorithm
intervals
Results
24.0ms364×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done5000
51378
4405
3147
273
133
017

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x y (fma (/ (- b) 4.0) a c))
0.0b
(fma t (/ z 16.0) (fma x y (fma (/ (- b) 4.0) a c)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef log1p-expm1-u add-log-exp
Counts
2 → 20
Calls
2 calls:
0.0ms
(fma x y (fma (/ (- b) 4.0) a c))
0.0ms
(fma t (/ z 16.0) (fma x y (fma (/ (- b) 4.0) a c)))

series364.0ms

Counts
2 → 6
Calls
2 calls:
110.0ms
(fma x y (fma (/ (- b) 4.0) a c))
254.0ms
(fma t (/ z 16.0) (fma x y (fma (/ (- b) 4.0) a c)))

simplify1.8s

Counts
26 → 26
Iterations
IterNodes
done5000
43298
3553
2172
174
046

prune249.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.0b
(+ (* x y) (/ (* z t) 16.0))
0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
0.2b
(/ (* z t) 16.0)

rewrite438.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
42×prod-diff
38×add-sqr-sqrt
34×add-cube-cbrt
24×associate-+l+
21×times-frac
20×add-log-exp
9×add-cbrt-cube add-exp-log
7×div-inv
6×sum-log fma-def
4×expm1-log1p-u pow1 diff-log log1p-expm1-u
3×associate-/r* flip3-+ fma-neg flip-+ distribute-lft-out--
2×cbrt-undiv +-commutative sub-neg div-exp associate--l+ frac-sub distribute-lft-out difference-of-squares
1×clear-num frac-2neg flip3-- prod-exp associate-+l- cbrt-unprod flip-- associate-/l*
Counts
4 → 128
Calls
4 calls:
288.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
9.0ms
(+ (* x y) (/ (* z t) 16.0))
124.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
12.0ms
(/ (* z t) 16.0)

series425.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
59.0ms
(+ (* x y) (/ (* z t) 16.0))
101.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))
21.0ms
(/ (* z t) 16.0)

simplify1.5s

Counts
140 → 140
Iterations
IterNodes
done5000
22581
1573
0217

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (fma (* b a) (- 0.25) (fma z (* t 0.0625) (* y x))) c)
0.0b
(fma (* b a) (- 0.25) (fma z (* t 0.0625) (* y x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
5×*-un-lft-identity
4×add-log-exp
3×add-sqr-sqrt fma-def add-cube-cbrt
2×expm1-log1p-u pow1 add-cbrt-cube add-exp-log fma-udef log1p-expm1-u
1×+-commutative associate-+l+ sum-log flip3-+ flip-+ distribute-lft-out
Counts
2 → 28
Calls
2 calls:
5.0ms
(+ (fma (* b a) (- 0.25) (fma z (* t 0.0625) (* y x))) c)
0.0ms
(fma (* b a) (- 0.25) (fma z (* t 0.0625) (* y x)))

series391.0ms

Counts
2 → 6
Calls
2 calls:
252.0ms
(+ (fma (* b a) (- 0.25) (fma z (* t 0.0625) (* y x))) c)
139.0ms
(fma (* b a) (- 0.25) (fma z (* t 0.0625) (* y x)))

simplify1.1s

Counts
34 → 34
Iterations
IterNodes
done5000
31938
2321
1120
056

prune297.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x y (- (* (/ z 16.0) t)))
2.4b
(fma (fma (/ z 16.0) t (* y x)) (* 4.0 (fma x y (- (* (/ z 16.0) t)))) (* (- (* b a)) (fma x y (- (* (/ z 16.0) t)))))
4.9b
(* (- (* b a)) (fma x y (- (* (/ z 16.0) t))))
23.8b
(/ (fma (fma (/ z 16.0) t (* y x)) (* 4.0 (fma x y (- (* (/ z 16.0) t)))) (* (- (* b a)) (fma x y (- (* (/ z 16.0) t))))) (* 4.0 (fma x y (- (* (/ z 16.0) t)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
11×add-cbrt-cube add-exp-log
10×add-sqr-sqrt
8×*-un-lft-identity add-cube-cbrt
6×pow1 associate-*l*
4×expm1-log1p-u fma-udef log1p-expm1-u add-log-exp
3×times-frac associate-*r* associate-/l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod
1×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-in clear-num associate-/r* neg-mul-1 distribute-rgt-neg-in frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv unswap-sqr
Counts
4 → 69
Calls
4 calls:
0.0ms
(fma x y (- (* (/ z 16.0) t)))
0.0ms
(fma (fma (/ z 16.0) t (* y x)) (* 4.0 (fma x y (- (* (/ z 16.0) t)))) (* (- (* b a)) (fma x y (- (* (/ z 16.0) t)))))
10.0ms
(* (- (* b a)) (fma x y (- (* (/ z 16.0) t))))
16.0ms
(/ (fma (fma (/ z 16.0) t (* y x)) (* 4.0 (fma x y (- (* (/ z 16.0) t)))) (* (- (* b a)) (fma x y (- (* (/ z 16.0) t))))) (* 4.0 (fma x y (- (* (/ z 16.0) t)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
80.0ms
(fma x y (- (* (/ z 16.0) t)))
453.0ms
(fma (fma (/ z 16.0) t (* y x)) (* 4.0 (fma x y (- (* (/ z 16.0) t)))) (* (- (* b a)) (fma x y (- (* (/ z 16.0) t)))))
214.0ms
(* (- (* b a)) (fma x y (- (* (/ z 16.0) t))))
357.0ms
(/ (fma (fma (/ z 16.0) t (* y x)) (* 4.0 (fma x y (- (* (/ z 16.0) t)))) (* (- (* b a)) (fma x y (- (* (/ z 16.0) t))))) (* 4.0 (fma x y (- (* (/ z 16.0) t)))))

simplify1.0s

Counts
81 → 81
Iterations
IterNodes
done5000
21709
1334
0135

prune831.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes707.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done17
117
015

end0.0ms

sample2.6s

Algorithm
intervals
Results
1.1s11730×body80valid