Details

Time bar (total: 18.8s)

sample31.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify4.6s

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 24.6b

localize39.0ms

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

rewrite178.0ms

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:
124.0ms
(* (- (+ 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))
50.0ms
(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

series387.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (- (+ z a) b) y)
108.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
59.0ms
(fma a t (* (- (+ z a) b) y))
181.0ms
(/ (fma z x (fma a t (* (- (+ z a) b) y))) (+ x (+ y t)))

simplify1.1s

Counts
100 → 100
Iterations
IterNodes
done5000
2957
1289
0137

prune722.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.6b

localize37.0ms

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

rewrite142.0ms

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:
104.0ms
(* 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)))
35.0ms
(/ (fma z x (fma a t (* y (- (+ z a) b)))) (+ x (+ y t)))

series511.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* y (- (+ z a) b))
127.0ms
(fma z x (fma a t (* y (- (+ z a) b))))
89.0ms
(fma a t (* y (- (+ z a) b)))
255.0ms
(/ (fma z x (fma a t (* y (- (+ z a) b)))) (+ x (+ y t)))

simplify1.1s

Counts
130 → 130
Iterations
IterNodes
done5003
21161
1409
0194

prune600.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 5.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (/ (+ x (+ y t)) (fma z x (fma a t (* (- (+ z a) b) y)))))
0.3b
(fma z x (fma a t (* (- (+ z a) b) y)))
0.5b
(fma a t (* (- (+ z a) b) y))
24.6b
(/ (+ x (+ y t)) (fma z x (fma a t (* (- (+ z a) b) y))))

rewrite114.0ms

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 insert-posit16 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 → 165
Calls
4 calls:
45.0ms
(/ 1 (/ (+ x (+ y t)) (fma z x (fma a t (* (- (+ 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))
60.0ms
(/ (+ x (+ y t)) (fma z x (fma a t (* (- (+ z a) b) y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
801.0ms
(/ 1 (/ (+ x (+ y t)) (fma z x (fma a t (* (- (+ z a) b) y)))))
109.0ms
(fma z x (fma a t (* (- (+ z a) b) y)))
80.0ms
(fma a t (* (- (+ z a) b) y))
120.0ms
(/ (+ x (+ y t)) (fma z x (fma a t (* (- (+ z a) b) y))))

simplify2.3s

Counts
177 → 177
Iterations
IterNodes
done5000
34892
21343
1464
0192

prune765.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 4.9b

localize41.0ms

Local error

Found 4 expressions with local error:

6.5b
(* (/ (* (cbrt (fma z x (fma a t (* (- (+ z a) b) y)))) (cbrt (fma z x (fma a t (* (- (+ z a) b) y))))) 1) (/ (cbrt (fma z x (fma a t (* (- (+ z a) b) y)))) (+ x (+ y t))))
25.2b
(cbrt (fma z x (fma a t (* (- (+ z a) b) y))))
25.2b
(cbrt (fma z x (fma a t (* (- (+ z a) b) y))))
25.2b
(cbrt (fma z x (fma a t (* (- (+ z a) b) y))))

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
59×*-un-lft-identity
47×add-sqr-sqrt
45×times-frac
37×add-exp-log
36×associate-*r*
27×cbrt-prod
26×add-cube-cbrt
18×add-cbrt-cube distribute-lft-out
14×prod-exp
13×div-exp
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv associate-*l*
6×pow1
4×expm1-log1p-u 1-exp insert-posit16 log1p-expm1-u add-log-exp
3×pow1/3
2×associate-/r/ div-inv
1×frac-times flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
4 → 125
Calls
4 calls:
108.0ms
(* (/ (* (cbrt (fma z x (fma a t (* (- (+ z a) b) y)))) (cbrt (fma z x (fma a t (* (- (+ z a) b) y))))) 1) (/ (cbrt (fma z x (fma a t (* (- (+ z a) b) y)))) (+ x (+ y t))))
1.0ms
(cbrt (fma z x (fma a t (* (- (+ z a) b) y))))
1.0ms
(cbrt (fma z x (fma a t (* (- (+ z a) b) y))))
1.0ms
(cbrt (fma z x (fma a t (* (- (+ z a) b) y))))

series840.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (/ (* (cbrt (fma z x (fma a t (* (- (+ z a) b) y)))) (cbrt (fma z x (fma a t (* (- (+ z a) b) y))))) 1) (/ (cbrt (fma z x (fma a t (* (- (+ z a) b) y)))) (+ x (+ y t))))
216.0ms
(cbrt (fma z x (fma a t (* (- (+ z a) b) y))))
216.0ms
(cbrt (fma z x (fma a t (* (- (+ z a) b) y))))
219.0ms
(cbrt (fma z x (fma a t (* (- (+ z a) b) y))))

simplify1.4s

Counts
137 → 137
Iterations
IterNodes
done5000
21728
1643
0204

prune640.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 4.9b

regimes620.0ms

Accuracy

47.7% (10.9b remaining)

Error of 15.4b against oracle of 4.4b and baseline of 25.4b

bsearch87.0ms

Steps
ItersRangePoint
9
1.36934023547096e+82
8.406547116174228e+87
2.0423114556484996e+85
6
-4.556345573702227e+73
-4.217802647696024e+72
-2.6725091383027097e+73

simplify4.0ms

Iterations
IterNodes
done28
128
022

end0.0ms

sample1.2s

Algorithm
intervals
Results
944.0ms7999×body80valid
0.0ms1×body320valid