Details

Time bar (total: 17.6s)

sample37.0ms

Algorithm
intervals
Results
16.0ms256×body80valid

simplify4.6s

Counts
1 → 1
Iterations
IterNodes
done5001
64350
52090
4637
3201
279
133
016

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 27.4b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma t a (* z x))
1.3b
(fma y (- a (- b z)) (fma t a (* z x)))
25.6b
(/ (fma y (- a (- b z)) (fma t a (* z x))) (+ x (+ y t)))

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
33×*-un-lft-identity
15×times-frac
13×add-sqr-sqrt add-cube-cbrt
12×distribute-lft-out
5×associate-/r* add-cbrt-cube add-exp-log
3×expm1-log1p-u pow1 log1p-expm1-u associate-/l* add-log-exp
2×associate-/r/ fma-udef
1×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv
Counts
3 → 59
Calls
3 calls:
0.0ms
(fma t a (* z x))
0.0ms
(fma y (- a (- b z)) (fma t a (* z x)))
30.0ms
(/ (fma y (- a (- b z)) (fma t a (* z x))) (+ x (+ y t)))

series362.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(fma t a (* z x))
114.0ms
(fma y (- a (- b z)) (fma t a (* z x)))
176.0ms
(/ (fma y (- a (- b z)) (fma t a (* z x))) (+ x (+ y t)))

simplify1.3s

Counts
68 → 68
Iterations
IterNodes
done5001
32750
2593
1192
094

prune645.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.2b

localize6.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify0.0ms

Counts
0 → 0
Iterations
IterNodes
done0
00

prune87.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.2b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ (+ y t) x) (fma x z (fma (- a (- b z)) y (* t a)))))
0.3b
(fma x z (fma (- a (- b z)) y (* t a)))
0.8b
(fma (- a (- b z)) y (* t a))
25.6b
(/ (+ (+ y t) x) (fma x z (fma (- a (- b z)) y (* t a))))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
132×times-frac
70×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
22×associate-/r*
17×add-exp-log
11×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×pow1
4×expm1-log1p-u cbrt-undiv log1p-expm1-u add-log-exp
2×rec-exp clear-num frac-2neg 1-exp fma-udef associate-/l/
1×flip3-+ associate-/r/ flip-+ pow-flip inv-pow
Counts
4 → 161
Calls
4 calls:
35.0ms
(/ 1 (/ (+ (+ y t) x) (fma x z (fma (- a (- b z)) y (* t a)))))
0.0ms
(fma x z (fma (- a (- b z)) y (* t a)))
0.0ms
(fma (- a (- b z)) y (* t a))
76.0ms
(/ (+ (+ y t) x) (fma x z (fma (- a (- b z)) y (* t a))))

series691.0ms

Counts
4 → 12
Calls
4 calls:
257.0ms
(/ 1 (/ (+ (+ y t) x) (fma x z (fma (- a (- b z)) y (* t a)))))
168.0ms
(fma x z (fma (- a (- b z)) y (* t a)))
78.0ms
(fma (- a (- b z)) y (* t a))
188.0ms
(/ (+ (+ y t) x) (fma x z (fma (- a (- b z)) y (* t a))))

simplify1.4s

Counts
173 → 173
Iterations
IterNodes
done5000
22568
1474
0192

prune970.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b
(fma x z (fma y (- (+ z a) b) (* a t)))
0.8b
(fma y (- (+ z a) b) (* a t))
1.1b
(/ 1 (fma x z (fma y (- (+ z a) b) (* a t))))
24.2b
(* (+ (+ y t) x) (/ 1 (fma x z (fma y (- (+ z a) b) (* a t)))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×*-un-lft-identity
20×times-frac add-cube-cbrt
17×add-exp-log
13×associate-*r*
11×add-cbrt-cube
7×pow1
5×associate-*l*
4×expm1-log1p-u div-exp prod-exp log1p-expm1-u add-log-exp
3×associate-/r* distribute-lft-out associate-/l* unswap-sqr
2×frac-times cbrt-undiv rec-exp flip3-+ 1-exp associate-*l/ 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 → 97
Calls
4 calls:
0.0ms
(fma x z (fma y (- (+ z a) b) (* a t)))
0.0ms
(fma y (- (+ z a) b) (* a t))
8.0ms
(/ 1 (fma x z (fma y (- (+ z a) b) (* a t))))
88.0ms
(* (+ (+ y t) x) (/ 1 (fma x z (fma y (- (+ z a) b) (* a t)))))

series572.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(fma x z (fma y (- (+ z a) b) (* a t)))
84.0ms
(fma y (- (+ z a) b) (* a t))
94.0ms
(/ 1 (fma x z (fma y (- (+ z a) b) (* a t))))
223.0ms
(* (+ (+ y t) x) (/ 1 (fma x z (fma y (- (+ z a) b) (* a t)))))

simplify3.8s

Counts
109 → 109
Iterations
IterNodes
done5000
22721
1325
0135

prune476.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 6.2b

regimes819.0ms

Accuracy

48.7% (11.4b remaining)

Error of 17.1b against oracle of 5.7b and baseline of 27.9b

bsearch79.0ms

Steps
ItersRangePoint
5
3.054144099650475e+75
6.541856430108285e+75
5.718779504277736e+75
8
-3.8330469683490504e-72
-8.146462756016556e-76
-3.7790170990913066e-72

simplify3.0ms

Iterations
IterNodes
done35
135
025

end0.0ms

sample1.3s

Algorithm
intervals
Results
902.0ms7998×body80valid
0.0ms1×body320valid
0.0ms1×body160valid