Details

Time bar (total: 20.9s)

sample54.0ms

Algorithm
intervals
Results
29.0ms256×body80valid

simplify5.5s

Counts
1 → 1
Iterations
IterNodes
done5000
84082
71989
61145
5750
4496
3200
279
133
016

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.6b

localize60.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
0.9b
(+ (* (+ x y) z) (* (+ t y) a))
1.9b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
24.6b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite308.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
20×add-sqr-sqrt
18×add-cube-cbrt
15×times-frac
13×distribute-lft-out
11×add-log-exp
10×associate-*l/
8×add-cbrt-cube add-exp-log
7×flip3-+ flip-+
6×pow1
5×associate-/r*
4×expm1-log1p-u associate-*l* frac-add insert-posit16 log1p-expm1-u
3×fma-neg associate-*r* prod-diff associate-/l*
2×sum-log flip3-- diff-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative clear-num sub-neg fma-def frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 109
Calls
4 calls:
23.0ms
(* (+ t y) a)
13.0ms
(+ (* (+ x y) z) (* (+ t y) a))
76.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
195.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series1.0s

Counts
4 → 12
Calls
4 calls:
40.0ms
(* (+ t y) a)
69.0ms
(+ (* (+ x y) z) (* (+ t y) a))
143.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
789.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.8s

Counts
121 → 121
Iterations
IterNodes
done5002
22209
1581
0197

prune805.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.8b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (+ z a) b) y)
0.5b
(fma a t (* (- (+ z a) b) y))
1.3b
(fma z x (fma a t (* (- (+ z a) b) y)))
24.6b
(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
20×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
8×add-cbrt-cube add-exp-log
6×pow1 associate-*l*
5×associate-/r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*r* associate-/l*
2×associate-*l/ associate-/r/ fma-udef distribute-lft-out--
1×cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ div-inv flip-- difference-of-squares unswap-sqr
Counts
4 → 88
Calls
4 calls:
125.0ms
(* (- (+ z a) b) y)
0.0ms
(fma a t (* (- (+ z a) b) y))
0.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
37.0ms
(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

series556.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (- (+ z a) b) y)
91.0ms
(fma a t (* (- (+ z a) b) y))
169.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
246.0ms
(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

simplify1.2s

Counts
100 → 100
Iterations
IterNodes
done5000
2957
1289
0137

prune638.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.4b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (+ z a) b) y)
0.5b
(fma a t (* (- (+ z a) b) y))
1.3b
(fma z x (fma a t (* (- (+ z a) b) y)))
24.7b
(* (fma z x (fma a t (* (- (+ z a) b) y))) (/ 1 (+ x (+ y t))))

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
27×add-sqr-sqrt
24×associate-*r*
17×times-frac
16×add-cube-cbrt
15×add-exp-log
11×add-cbrt-cube
10×distribute-lft-out
9×associate-*l*
8×pow1
5×prod-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-unprod
2×div-exp pow-prod-down associate-*l/ associate-/r/ *-commutative fma-udef distribute-lft-out--
1×cbrt-undiv rec-exp flip3-+ flip3-- 1-exp associate-*r/ un-div-inv flip-+ div-inv flip-- difference-of-squares
Counts
4 → 95
Calls
4 calls:
90.0ms
(* (- (+ z a) b) y)
0.0ms
(fma a t (* (- (+ z a) b) y))
0.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
62.0ms
(* (fma z x (fma a t (* (- (+ z a) b) y))) (/ 1 (+ x (+ y t))))

series517.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (- (+ z a) b) y)
91.0ms
(fma a t (* (- (+ z a) b) y))
147.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
228.0ms
(* (fma z x (fma a t (* (- (+ z a) b) y))) (/ 1 (+ x (+ y t))))

simplify1.5s

Counts
107 → 107
Iterations
IterNodes
done5000
21408
1382
0162

prune601.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.4b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- z b) a)
0.8b
(fma y (+ (- z b) a) (* a t))
1.3b
(fma z x (fma y (+ (- z b) a) (* a t)))
24.6b
(/ (fma z x (fma y (+ (- z b) a) (* a t))) (+ x (+ y t)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
23×add-sqr-sqrt
21×add-cube-cbrt
15×times-frac
14×distribute-lft-out
11×associate-+l+
9×prod-diff add-log-exp
6×add-cbrt-cube add-exp-log
5×associate-/r* fma-def
4×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
3×associate-/l*
2×sum-log flip3-+ associate-/r/ flip-+ fma-udef distribute-lft-out--
1×cbrt-undiv +-commutative clear-num sub-neg frac-2neg diff-log div-exp associate-+l- div-inv difference-of-squares
Counts
4 → 96
Calls
4 calls:
31.0ms
(+ (- z b) a)
0.0ms
(fma y (+ (- z b) a) (* a t))
0.0ms
(fma z x (fma y (+ (- z b) a) (* a t)))
19.0ms
(/ (fma z x (fma y (+ (- z b) a) (* a t))) (+ x (+ y t)))

series556.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(+ (- z b) a)
64.0ms
(fma y (+ (- z b) a) (* a t))
153.0ms
(fma z x (fma y (+ (- z b) a) (* a t)))
321.0ms
(/ (fma z x (fma y (+ (- z b) a) (* a t))) (+ x (+ y t)))

simplify2.5s

Counts
108 → 108
Iterations
IterNodes
done5016
33382
2847
1297
0140

prune648.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 5.4b

regimes783.0ms

Accuracy

46.5% (11.1b remaining)

Error of 15.8b against oracle of 4.6b and baseline of 25.4b

bsearch76.0ms

Steps
ItersRangePoint
5
5.161969344066879e+110
2.048884910706767e+111
1.2649927179778784e+111
3
-2.6958999886616935e+123
-2.1453533459851056e+123
-2.3749133523278352e+123

simplify7.0ms

Iterations
IterNodes
done30
130
022

end0.0ms

sample1.3s

Algorithm
intervals
Results
927.0ms7999×body80valid
1.0ms1×body1280valid