Details

Time bar (total: 37.6s)

sample69.0ms

Algorithm
intervals
Results
31.0ms338×body80valid

simplify4.1s

Counts
1 → 1
Iterations
IterNodes
done5005
71596
6565
5286
4200
399
247
125
014

prune69.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y)) 2.0)
0.0b
(/ (fma z 1.0 1) z)
0.1b
(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt *-un-lft-identity
18×add-cube-cbrt
9×times-frac prod-diff
5×add-cbrt-cube add-exp-log add-log-exp
3×expm1-log1p-u pow1 associate-/r* fma-neg insert-posit16 log1p-expm1-u associate-/l*
2×fma-udef
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp associate--l+ div-inv flip-- distribute-lft-out-- difference-of-squares
Counts
3 → 71
Calls
3 calls:
10.0ms
(- (fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y)) 2.0)
11.0ms
(/ (fma z 1.0 1) z)
2.0ms
(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

series381.0ms

Counts
3 → 9
Calls
3 calls:
113.0ms
(- (fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y)) 2.0)
124.0ms
(/ (fma z 1.0 1) z)
144.0ms
(fma (/ 2.0 t) (/ (fma z 1.0 1) z) (/ x y))

simplify3.8s

Counts
80 → 80
Iterations
IterNodes
done5003
31683
2563
1257
0131

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (fma 2.0 (* z 1.0) 2.0) z)
0.0b
(- (+ (/ (/ (fma 2.0 (* z 1.0) 2.0) z) t) (/ x y)) 2.0)
0.0b
(+ (/ (/ (fma 2.0 (* z 1.0) 2.0) z) t) (/ x y))
0.1b
(/ (/ (fma 2.0 (* z 1.0) 2.0) z) t)

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
160×times-frac
133×*-un-lft-identity
100×add-sqr-sqrt
98×add-cube-cbrt
43×fma-def
16×associate-/l*
15×prod-diff
11×add-cbrt-cube add-exp-log distribute-lft-out add-log-exp
10×div-inv
6×associate-/r*
5×fma-neg
4×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u
2×clear-num sum-log frac-2neg diff-log distribute-lft-out--
1×+-commutative sub-neg flip3-+ flip3-- frac-add associate--l+ flip-+ flip-- difference-of-squares associate-/l/
Counts
4 → 203
Calls
4 calls:
15.0ms
(/ (fma 2.0 (* z 1.0) 2.0) z)
871.0ms
(- (+ (/ (/ (fma 2.0 (* z 1.0) 2.0) z) t) (/ x y)) 2.0)
136.0ms
(+ (/ (/ (fma 2.0 (* z 1.0) 2.0) z) t) (/ x y))
19.0ms
(/ (/ (fma 2.0 (* z 1.0) 2.0) z) t)

series874.0ms

Counts
4 → 12
Calls
4 calls:
513.0ms
(/ (fma 2.0 (* z 1.0) 2.0) z)
155.0ms
(- (+ (/ (/ (fma 2.0 (* z 1.0) 2.0) z) t) (/ x y)) 2.0)
97.0ms
(+ (/ (/ (fma 2.0 (* z 1.0) 2.0) z) t) (/ x y))
108.0ms
(/ (/ (fma 2.0 (* z 1.0) 2.0) z) t)

simplify2.9s

Counts
215 → 215
Iterations
IterNodes
done5000
21538
1591
0257

prune3.1s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (/ x y) (+ (/ 2.0 t) (/ (/ 2.0 t) z))) 2.0)
0.0b
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
0.0b
(+ (/ x y) (+ (/ 2.0 t) (/ (/ 2.0 t) z)))
0.3b
(/ (/ 2.0 t) z)

rewrite3.2s

Algorithm
rewrite-expression-head
Rules
140×*-un-lft-identity
110×times-frac
72×add-sqr-sqrt
70×add-cube-cbrt
30×distribute-lft-out
26×fma-def
20×add-log-exp
18×prod-diff
13×associate-/l*
9×add-cbrt-cube add-exp-log
7×sum-log div-inv
6×fma-neg
5×frac-add
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×cbrt-undiv associate-/r* flip3-+ diff-log div-exp flip-+ distribute-lft-out--
2×+-commutative
1×associate-+r+ clear-num sub-neg frac-2neg flip3-- associate--l+ flip-- difference-of-squares associate-/l/
Counts
4 → 184
Calls
4 calls:
2.7s
(- (+ (/ x y) (+ (/ 2.0 t) (/ (/ 2.0 t) z))) 2.0)
91.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
290.0ms
(+ (/ x y) (+ (/ 2.0 t) (/ (/ 2.0 t) z)))
15.0ms
(/ (/ 2.0 t) z)

series301.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(- (+ (/ x y) (+ (/ 2.0 t) (/ (/ 2.0 t) z))) 2.0)
71.0ms
(+ (/ 2.0 t) (/ (/ 2.0 t) z))
95.0ms
(+ (/ x y) (+ (/ 2.0 t) (/ (/ 2.0 t) z)))
42.0ms
(/ (/ 2.0 t) z)

simplify4.1s

Counts
196 → 196
Iterations
IterNodes
done5006
22276
1714
0275

prune2.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* (fma (* 1.0 z) 2.0 2.0) (/ (/ 1 z) t)) (/ x y)) 2.0)
0.0b
(+ (* (fma (* 1.0 z) 2.0 2.0) (/ (/ 1 z) t)) (/ x y))
0.2b
(/ (/ 1 z) t)
7.9b
(* (fma (* 1.0 z) 2.0 2.0) (/ (/ 1 z) t))

rewrite568.0ms

Algorithm
rewrite-expression-head
Rules
146×times-frac
103×add-sqr-sqrt
92×*-un-lft-identity
89×add-cube-cbrt
43×associate-*r*
28×add-exp-log
18×add-cbrt-cube
13×associate-/l*
12×div-exp
11×add-log-exp
9×prod-diff div-inv
6×pow1 cbrt-undiv
5×prod-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u unswap-sqr
3×associate-/r* fma-neg associate-*l* cbrt-unprod
2×rec-exp sum-log diff-log 1-exp associate-*r/
1×+-commutative clear-num sub-neg fma-def frac-2neg flip3-+ flip3-- pow-prod-down frac-add associate--l+ *-commutative flip-+ flip-- distribute-lft-out-- difference-of-squares associate-/l/
Counts
4 → 193
Calls
4 calls:
422.0ms
(- (+ (* (fma (* 1.0 z) 2.0 2.0) (/ (/ 1 z) t)) (/ x y)) 2.0)
28.0ms
(+ (* (fma (* 1.0 z) 2.0 2.0) (/ (/ 1 z) t)) (/ x y))
16.0ms
(/ (/ 1 z) t)
74.0ms
(* (fma (* 1.0 z) 2.0 2.0) (/ (/ 1 z) t))

series440.0ms

Counts
4 → 12
Calls
4 calls:
157.0ms
(- (+ (* (fma (* 1.0 z) 2.0 2.0) (/ (/ 1 z) t)) (/ x y)) 2.0)
138.0ms
(+ (* (fma (* 1.0 z) 2.0 2.0) (/ (/ 1 z) t)) (/ x y))
24.0ms
(/ (/ 1 z) t)
120.0ms
(* (fma (* 1.0 z) 2.0 2.0) (/ (/ 1 z) t))

simplify3.6s

Counts
205 → 205
Iterations
IterNodes
done5000
22060
1775
0307

prune2.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes861.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample1.6s

Algorithm
intervals
Results
982.0ms10471×body80valid