Details

Time bar (total: 20.1s)

sample251.0ms

Algorithm
intervals
Results
23.0ms463×body80valid
12.0ms463×pre80true

simplify4.8s

Counts
1 → 1
Iterations
IterNodes
done5000
104954
92413
81377
7866
6573
5353
4164
365
232
116
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(* m (- 1.0 m))
0.0b
(/ (* m (- 1.0 m)) v)
0.1b
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
12×add-cbrt-cube add-exp-log
11×distribute-rgt-in distribute-lft-in
associate-*r* associate-*l*
pow1
associate-*r/
expm1-log1p-u associate-/r* times-frac flip3-- prod-exp cbrt-unprod log1p-expm1-u flip-- add-log-exp
cbrt-undiv sub-neg div-exp pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr associate-/l/
clear-num frac-2neg div-inv associate-/l*
Counts
3 → 95
Calls
3 calls:
18.0ms
(* m (- 1.0 m))
24.0ms
(/ (* m (- 1.0 m)) v)
86.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series214.0ms

Counts
3 → 9
Calls
3 calls:
81.0ms
(* m (- 1.0 m))
70.0ms
(/ (* m (- 1.0 m)) v)
62.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify3.0s

Counts
104 → 104
Iterations
IterNodes
done5000
34764
21229
1443
0177

prune839.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* m 1.0) v) (/ (* m m) v))
0.1b
(* (- (- (/ (* m 1.0) v) (/ (* m m) v)) 1.0) m)
13.2b
(/ (* m m) v)

rewrite516.0ms

Algorithm
rewrite-expression-head
Rules
55×times-frac
49×prod-diff
47×add-sqr-sqrt
46×*-un-lft-identity
39×add-cube-cbrt
18×div-inv
10×add-cbrt-cube add-exp-log
fma-neg distribute-lft-out--
associate-*l*
pow1 add-log-exp
expm1-log1p-u associate-/r* associate-*r* log1p-expm1-u difference-of-squares
cbrt-undiv flip3-- div-exp associate-*l/ prod-exp cbrt-unprod flip--
clear-num sub-neg frac-2neg distribute-rgt-out-- diff-log pow-prod-down *-commutative frac-sub associate-/l* sub-div unswap-sqr
Counts
3 → 127
Calls
3 calls:
22.0ms
(- (/ (* m 1.0) v) (/ (* m m) v))
469.0ms
(* (- (- (/ (* m 1.0) v) (/ (* m m) v)) 1.0) m)
21.0ms
(/ (* m m) v)

series161.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- (/ (* m 1.0) v) (/ (* m m) v))
66.0ms
(* (- (- (/ (* m 1.0) v) (/ (* m m) v)) 1.0) m)
31.0ms
(/ (* m m) v)

simplify1.8s

Counts
136 → 136
Iterations
IterNodes
done5000
21759
1563
0211

prune711.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma (/ m v) 1.0 (- (fma (/ m v) m 1.0)))
0.1b
(fma (/ m v) m 1.0)
0.1b
(* (fma (/ m v) 1.0 (- (fma (/ m v) m 1.0))) m)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt
expm1-log1p-u associate-*r* associate-*l* log1p-expm1-u add-log-exp
fma-udef
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 40
Calls
3 calls:
0.0ms
(fma (/ m v) 1.0 (- (fma (/ m v) m 1.0)))
0.0ms
(fma (/ m v) m 1.0)
9.0ms
(* (fma (/ m v) 1.0 (- (fma (/ m v) m 1.0))) m)

series135.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(fma (/ m v) 1.0 (- (fma (/ m v) m 1.0)))
25.0ms
(fma (/ m v) m 1.0)
70.0ms
(* (fma (/ m v) 1.0 (- (fma (/ m v) m 1.0))) m)

simplify2.1s

Counts
49 → 49
Iterations
IterNodes
done5006
31774
2365
1124
065

prune325.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma (/ m v) 1.0 (- (fma (/ m v) m 1.0)))
0.1b
(fma (/ m v) m 1.0)
0.2b
(* (sqrt m) (fma (/ m v) 1.0 (- (fma (/ m v) m 1.0))))
0.4b
(* (* (sqrt m) (fma (/ m v) 1.0 (- (fma (/ m v) m 1.0)))) (sqrt m))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×pow1 add-cbrt-cube add-exp-log
*-un-lft-identity associate-*r* add-cube-cbrt
associate-*l* sqrt-prod
expm1-log1p-u pow-prod-down prod-exp cbrt-unprod fma-udef log1p-expm1-u add-log-exp
*-commutative unswap-sqr
distribute-rgt-in distribute-lft-in
Counts
4 → 69
Calls
4 calls:
0.0ms
(fma (/ m v) 1.0 (- (fma (/ m v) m 1.0)))
1.0ms
(fma (/ m v) m 1.0)
16.0ms
(* (sqrt m) (fma (/ m v) 1.0 (- (fma (/ m v) m 1.0))))
43.0ms
(* (* (sqrt m) (fma (/ m v) 1.0 (- (fma (/ m v) m 1.0)))) (sqrt m))

series286.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(fma (/ m v) 1.0 (- (fma (/ m v) m 1.0)))
31.0ms
(fma (/ m v) m 1.0)
124.0ms
(* (sqrt m) (fma (/ m v) 1.0 (- (fma (/ m v) m 1.0))))
101.0ms
(* (* (sqrt m) (fma (/ m v) 1.0 (- (fma (/ m v) m 1.0)))) (sqrt m))

simplify2.7s

Counts
81 → 81
Iterations
IterNodes
done5002
33288
2803
1278
0111

prune453.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done9
19
08

end0.0ms

sample1.4s

Algorithm
intervals
Results
720.0ms13862×body80valid
373.0ms13862×pre80true