Details

Time bar (total: 18.0s)

sample126.0ms

Algorithm
intervals
Results
30.0ms442×body80valid
18.0ms442×pre80true

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5001
52003
4362
392
235
119
08

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(* m (- 1 m))
0.0b
(/ (* m (- 1 m)) v)
0.1b
(* (- (/ (* m (- 1 m)) v) 1) m)

rewrite158.0ms

Algorithm
rewrite-expression-head
Rules
32×add-sqr-sqrt
27×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
12×add-cbrt-cube add-exp-log
11×distribute-rgt-in distribute-lft-in
10×associate-*l*
associate-*r*
pow1
associate-*r/ difference-of-squares
expm1-log1p-u associate-/r* times-frac flip3-- prod-exp cbrt-unprod insert-posit16 log1p-expm1-u flip-- add-log-exp
cbrt-undiv sub-neg div-exp pow-prod-down associate-*l/ *-commutative distribute-lft-out-- unswap-sqr associate-/l/
clear-num frac-2neg difference-of-sqr-1 div-inv associate-/l*
Counts
3 → 101
Calls
3 calls:
42.0ms
(* m (- 1 m))
22.0ms
(/ (* m (- 1 m)) v)
87.0ms
(* (- (/ (* m (- 1 m)) v) 1) m)

series159.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(* m (- 1 m))
54.0ms
(/ (* m (- 1 m)) v)
46.0ms
(* (- (/ (* m (- 1 m)) v) 1) m)

simplify3.3s

Counts
110 → 110
Iterations
IterNodes
done5001
34172
21090
1428
0180

prune380.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 2 expressions with local error:

0.1b
(fma (/ m v) (* m m) m)
0.1b
(fma (/ m v) m (- (fma (/ m v) (* m m) m)))

rewrite2.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 22
Calls
2 calls:
0.0ms
(fma (/ m v) (* m m) m)
1.0ms
(fma (/ m v) m (- (fma (/ m v) (* m m) m)))

series95.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(fma (/ m v) (* m m) m)
59.0ms
(fma (/ m v) m (- (fma (/ m v) (* m m) m)))

simplify2.8s

Counts
28 → 28
Iterations
IterNodes
done5000
43152
3552
2156
161
037

prune124.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.1b
(* m (- (* 1 1) (* m m)))
0.1b
(/ (* m (- (* 1 1) (* m m))) (fma v m v))
0.1b
(* (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1) m)

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
12×*-un-lft-identity add-cbrt-cube add-exp-log
10×associate-*l*
add-cube-cbrt
pow1 associate-*r*
associate-*r/
distribute-rgt-in expm1-log1p-u associate-/r* distribute-lft-in times-frac flip3-- prod-exp cbrt-unprod insert-posit16 log1p-expm1-u flip-- add-log-exp difference-of-squares
cbrt-undiv sub-neg div-exp prod-diff pow-prod-down associate-*l/ *-commutative unswap-sqr associate-/l/
clear-num frac-2neg difference-of-sqr-1 div-inv associate-/l* distribute-lft-out--
Counts
3 → 83
Calls
3 calls:
58.0ms
(* m (- (* 1 1) (* m m)))
25.0ms
(/ (* m (- (* 1 1) (* m m))) (fma v m v))
154.0ms
(* (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1) m)

series301.0ms

Counts
3 → 9
Calls
3 calls:
127.0ms
(* m (- (* 1 1) (* m m)))
98.0ms
(/ (* m (- (* 1 1) (* m m))) (fma v m v))
75.0ms
(* (- (/ (* m (- (* 1 1) (* m m))) (fma v m v)) 1) m)

simplify1.2s

Counts
92 → 92
Iterations
IterNodes
done5015
21325
1391
0147

prune451.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(* m (- 1 m))
0.0b
(/ v (* m (- 1 m)))
0.1b
(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
0.3b
(/ 1 (/ v (* m (- 1 m))))

rewrite384.0ms

Algorithm
rewrite-expression-head
Rules
62×add-sqr-sqrt
52×*-un-lft-identity
48×times-frac
40×add-cube-cbrt
34×add-exp-log
22×add-cbrt-cube
18×prod-diff
17×associate-*l*
14×div-exp
12×associate-*r/
11×distribute-rgt-in distribute-lft-in associate-/r/
10×associate-/r*
pow1 associate-*r*
difference-of-squares
cbrt-undiv flip3-- div-inv flip--
prod-exp associate-/l*
expm1-log1p-u cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
rec-exp 1-exp difference-of-sqr-1 distribute-lft-out--
clear-num sub-neg frac-2neg pow-prod-down associate-*l/ *-commutative unswap-sqr
pow-flip inv-pow
Counts
4 → 175
Calls
4 calls:
44.0ms
(* m (- 1 m))
23.0ms
(/ v (* m (- 1 m)))
278.0ms
(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
28.0ms
(/ 1 (/ v (* m (- 1 m))))

series246.0ms

Counts
4 → 12
Calls
4 calls:
60.0ms
(* m (- 1 m))
60.0ms
(/ v (* m (- 1 m)))
48.0ms
(* (- (/ 1 (/ v (* m (- 1 m)))) 1) m)
78.0ms
(/ 1 (/ v (* m (- 1 m))))

simplify1.8s

Counts
187 → 187
Iterations
IterNodes
done5000
21648
1651
0280

prune673.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done7
07

end0.0ms

sample1.6s

Algorithm
intervals
Results
938.0ms13687×body80valid
415.0ms13687×pre80true