Details

Time bar (total: 19.2s)

sample47.0ms

Algorithm
intervals
Results
29.0ms256×body80valid

simplify4.6s

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

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 23.5b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- (+ z a) b) y)
0.3b
(fma z x (fma a t (* (- (+ z a) b) y)))
0.8b
(fma a t (* (- (+ z a) b) y))
23.5b
(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

rewrite113.0ms

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:
86.0ms
(* (- (+ z a) b) y)
0.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
0.0ms
(fma a t (* (- (+ z a) b) y))
25.0ms
(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

series487.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(* (- (+ z a) b) y)
122.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
77.0ms
(fma a t (* (- (+ z a) b) y))
253.0ms
(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

simplify1.1s

Counts
100 → 100
Iterations
IterNodes
done5000
2957
1289
0137

prune514.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- (+ z a) b))
0.3b
(fma z x (fma a t (* y (- (+ z a) b))))
0.8b
(fma a t (* y (- (+ z a) b)))
23.5b
(/ (fma z x (fma a t (* y (- (+ z a) b)))) (+ x (+ y t)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
34×add-sqr-sqrt
30×add-cube-cbrt
24×prod-diff
19×distribute-lft-out
15×distribute-rgt-in distribute-lft-in times-frac
8×add-cbrt-cube add-exp-log
6×pow1 associate-*r*
5×associate-/r*
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l* associate-/l*
2×sub-neg associate--l+ associate-*r/ 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 → 118
Calls
4 calls:
82.0ms
(* y (- (+ z a) b))
0.0ms
(fma z x (fma a t (* y (- (+ z a) b))))
0.0ms
(fma a t (* y (- (+ z a) b)))
33.0ms
(/ (fma z x (fma a t (* y (- (+ z a) b)))) (+ x (+ y t)))

series471.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* y (- (+ z a) b))
130.0ms
(fma z x (fma a t (* y (- (+ z a) b))))
75.0ms
(fma a t (* y (- (+ z a) b)))
219.0ms
(/ (fma z x (fma a t (* y (- (+ z a) b)))) (+ x (+ y t)))

simplify1.2s

Counts
130 → 130
Iterations
IterNodes
done5003
21161
1409
0194

prune632.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.5b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x (+ y t)))
0.3b
(fma z x (fma a t (* y (- (+ z a) b))))
0.8b
(fma a t (* y (- (+ z a) b)))
23.6b
(* (fma z x (fma a t (* y (- (+ z a) b)))) (/ 1 (+ x (+ y t))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
32×times-frac
31×add-sqr-sqrt
24×add-cube-cbrt
21×associate-*r* distribute-lft-out
17×add-exp-log
11×add-cbrt-cube
7×pow1
5×associate-/r*
4×expm1-log1p-u div-exp prod-exp associate-/r/ insert-posit16 log1p-expm1-u add-log-exp
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ fma-udef div-inv
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
4 → 113
Calls
4 calls:
23.0ms
(/ 1 (+ x (+ y t)))
0.0ms
(fma z x (fma a t (* y (- (+ z a) b))))
0.0ms
(fma a t (* y (- (+ z a) b)))
47.0ms
(* (fma z x (fma a t (* y (- (+ z a) b)))) (/ 1 (+ x (+ y t))))

series532.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(/ 1 (+ x (+ y t)))
138.0ms
(fma z x (fma a t (* y (- (+ z a) b))))
87.0ms
(fma a t (* y (- (+ z a) b)))
242.0ms
(* (fma z x (fma a t (* y (- (+ z a) b)))) (/ 1 (+ x (+ y t))))

simplify2.4s

Counts
125 → 125
Iterations
IterNodes
done5002
33558
2981
1305
0136

prune649.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.5b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.7b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
2.1b
(+ (* (+ x y) z) (* (+ t y) a))
23.5b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite297.0ms

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:
15.0ms
(* (+ t y) a)
85.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
13.0ms
(+ (* (+ x y) z) (* (+ t y) a))
183.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series916.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(* (+ t y) a)
124.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
63.0ms
(+ (* (+ x y) z) (* (+ t y) a))
702.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify1.7s

Counts
121 → 121
Iterations
IterNodes
done5000
22208
1582
0197

prune691.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 2.6b

regimes1.1s

Accuracy

84.2% (3.2b remaining)

Error of 7.5b against oracle of 4.2b and baseline of 24.8b

bsearch2.0ms

simplify5.0ms

Iterations
IterNodes
done36
136
024

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s7997×body80valid
1.0ms1×body1280valid
1.0ms2×body640valid