Details

Time bar (total: 18.5s)

sample114.0ms

Algorithm
intervals
Results
16.0ms453×body80valid
9.0ms453×pre80true

simplify3.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
08203
116203
234203
367203
4171203
5417203
61331203
74477203
done5001203

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity
13×add-cbrt-cube add-exp-log
10×add-cube-cbrt
8×pow1 associate-*r* associate-*l*
6×add-log-exp
4×flip3-- associate-*r/ flip--
3×associate-/r* sub-neg times-frac prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative unswap-sqr associate-/l/
1×clear-num frac-2neg diff-log div-inv associate-/l*
Counts
4 → 85
Calls
4 calls:
31.0ms
(* m (- 1.0 m))
29.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
23.0ms
(/ (* m (- 1.0 m)) v)
93.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series238.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* m (- 1.0 m))
42.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
61.0ms
(/ (* m (- 1.0 m)) v)
79.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.6s

Counts
97 → 97
Iterations

Useful iterations: done (1.6s)

IterNodesCost
013824075
136020022
2173319702
done500019422

prune426.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
0.0b
(/ v (* m (- 1.0 m)))
0.1b
(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.2b
(/ 1 (/ v (* m (- 1.0 m))))

rewrite337.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
42×add-sqr-sqrt
34×*-un-lft-identity
32×add-exp-log
26×add-cube-cbrt
20×add-cbrt-cube
14×div-exp
11×associate-/r/
10×associate-/r* associate-*r/
8×associate-*l* div-inv
7×pow1 cbrt-undiv flip3-- flip--
6×associate-/l* add-log-exp difference-of-squares
5×prod-exp
4×distribute-lft-out--
3×rec-exp 1-exp associate-*r* cbrt-unprod
2×clear-num frac-2neg associate-*l/
1×sub-neg diff-log pow-prod-down *-commutative pow-flip inv-pow unswap-sqr
Counts
4 → 129
Calls
4 calls:
58.0ms
(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
13.0ms
(/ v (* m (- 1.0 m)))
226.0ms
(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
35.0ms
(/ 1 (/ v (* m (- 1.0 m))))

series248.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (/ 1 (/ v (* m (- 1.0 m)))) 1.0)
69.0ms
(/ v (* m (- 1.0 m)))
68.0ms
(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
54.0ms
(/ 1 (/ v (* m (- 1.0 m))))

simplify1.9s

Counts
141 → 141
Iterations

Useful iterations: done (1.9s)

IterNodesCost
022247204
155637233
2277136491
done500136126

prune613.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
15×*-un-lft-identity
12×associate-*r*
11×pow1 add-cube-cbrt
7×sqrt-prod
6×associate-*l* associate-*l/ add-log-exp
5×prod-exp cbrt-unprod
4×flip3-- pow-prod-down flip--
3×associate-/r* times-frac
2×cbrt-undiv div-exp associate-*r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg diff-log div-inv associate-/l*
Counts
4 → 86
Calls
4 calls:
30.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
16.0ms
(/ (* m (- 1.0 m)) v)
88.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
110.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

series261.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
52.0ms
(/ (* m (- 1.0 m)) v)
109.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m))
71.0ms
(* (* (- (/ (* m (- 1.0 m)) v) 1.0) (sqrt m)) (sqrt m))

simplify1.8s

Counts
98 → 98
Iterations

Useful iterations: done (1.8s)

IterNodesCost
015831444
143225560
2218825360
done500025000

prune424.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize101.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)))
0.6b
(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
0.6b
(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
0.6b
(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))

rewrite149.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
61.0ms
(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)))
17.0ms
(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
34.0ms
(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
31.0ms
(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))

series1.6s

Counts
4 → 12
Calls
4 calls:
428.0ms
(* (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)) (cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m)))
390.0ms
(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
367.0ms
(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))
422.0ms
(cbrt (* (- (/ (* m (- 1.0 m)) v) 1.0) m))

simplify1.6s

Counts
84 → 84
Iterations

Useful iterations: done (1.6s)

IterNodesCost
014841096
135836305
2130535975
done500034495

prune595.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010244
114244
done14244

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.2s13750×body80valid
399.0ms13750×pre80true