Details

Time bar (total: 15.0s)

sample96.0ms

Algorithm
intervals
Results
46.0ms273×body80valid

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done5000
101417
9670
8579
7535
6492
5411
4271
3144
267
125
08

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.2b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ u t1) (+ t1 u))
3.0b
(* (/ t1 (* (+ u t1) (+ t1 u))) (- v))
17.6b
(/ t1 (* (+ u t1) (+ t1 u)))

rewrite185.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube associate-*l* add-exp-log
18×flip3-+ flip-+
16×add-sqr-sqrt *-un-lft-identity associate-/r/
14×associate-*r*
12×frac-times add-cube-cbrt
7×pow1 associate-*l/
6×times-frac prod-exp associate-*r/ cbrt-unprod
4×cbrt-undiv div-exp
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in log1p-expm1-u associate-/l* add-log-exp
2×pow-prod-down *-commutative div-inv distribute-lft-out unswap-sqr
1×distribute-rgt-in clear-num associate-/r* neg-mul-1 frac-2neg distribute-lft-in distribute-rgt-neg-out
Counts
3 → 108
Calls
3 calls:
48.0ms
(* (+ u t1) (+ t1 u))
104.0ms
(* (/ t1 (* (+ u t1) (+ t1 u))) (- v))
28.0ms
(/ t1 (* (+ u t1) (+ t1 u)))

series318.0ms

Counts
3 → 9
Calls
3 calls:
28.0ms
(* (+ u t1) (+ t1 u))
186.0ms
(* (/ t1 (* (+ u t1) (+ t1 u))) (- v))
103.0ms
(/ t1 (* (+ u t1) (+ t1 u)))

simplify2.0s

Counts
117 → 117
Iterations
IterNodes
done5000
24485
1556
0171

prune723.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t1 (+ t1 u))
0.6b
(/ (* v (/ t1 (+ t1 u))) (+ t1 u))
2.8b
(* v (/ t1 (+ t1 u)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
29×times-frac
28×add-sqr-sqrt
23×add-cube-cbrt
19×add-cbrt-cube add-exp-log
18×associate-*r*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×expm1-log1p-u flip3-+ associate-*l* flip-+ log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg associate-*r/ unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 104
Calls
3 calls:
9.0ms
(/ t1 (+ t1 u))
28.0ms
(/ (* v (/ t1 (+ t1 u))) (+ t1 u))
22.0ms
(* v (/ t1 (+ t1 u)))

series169.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ t1 (+ t1 u))
73.0ms
(/ (* v (/ t1 (+ t1 u))) (+ t1 u))
43.0ms
(* v (/ t1 (+ t1 u)))

simplify837.0ms

Counts
113 → 113
Iterations
IterNodes
done5001
21655
1345
0130

prune654.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t1 (+ t1 u))
0.0b
(/ 1 (+ t1 u))
0.7b
(* (* v (/ t1 (+ t1 u))) (/ 1 (+ t1 u)))
2.8b
(* v (/ t1 (+ t1 u)))

rewrite148.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
54×add-exp-log
49×times-frac
44×add-sqr-sqrt
39×add-cube-cbrt
36×associate-*r*
34×add-cbrt-cube
22×prod-exp
14×div-exp distribute-lft-out
12×pow1 cbrt-unprod
8×cbrt-undiv associate-/r* associate-/r/
6×associate-/l*
4×expm1-log1p-u rec-exp flip3-+ 1-exp associate-*l* pow-prod-down associate-*r/ flip-+ log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg *-commutative unswap-sqr
1×frac-times associate-*l/ un-div-inv pow-flip inv-pow
Counts
4 → 166
Calls
4 calls:
11.0ms
(/ t1 (+ t1 u))
19.0ms
(/ 1 (+ t1 u))
75.0ms
(* (* v (/ t1 (+ t1 u))) (/ 1 (+ t1 u)))
36.0ms
(* v (/ t1 (+ t1 u)))

series236.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(/ t1 (+ t1 u))
65.0ms
(/ 1 (+ t1 u))
63.0ms
(* (* v (/ t1 (+ t1 u))) (/ 1 (+ t1 u)))
59.0ms
(* v (/ t1 (+ t1 u)))

simplify2.9s

Counts
178 → 178
Iterations
IterNodes
done5000
23492
1523
0182

prune972.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

1.0b
(* v (* (cbrt (/ t1 (+ t1 u))) (cbrt (/ t1 (+ t1 u)))))
7.2b
(cbrt (/ t1 (+ t1 u)))
7.2b
(cbrt (/ t1 (+ t1 u)))
7.2b
(cbrt (/ t1 (+ t1 u)))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
47×*-un-lft-identity
36×times-frac
30×add-sqr-sqrt
29×add-cube-cbrt
9×pow1 add-exp-log distribute-lft-out
7×cbrt-div add-cbrt-cube
6×associate-/r/
4×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod flip-+ div-inv
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 111
Calls
4 calls:
67.0ms
(* v (* (cbrt (/ t1 (+ t1 u))) (cbrt (/ t1 (+ t1 u)))))
9.0ms
(cbrt (/ t1 (+ t1 u)))
9.0ms
(cbrt (/ t1 (+ t1 u)))
9.0ms
(cbrt (/ t1 (+ t1 u)))

series714.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(* v (* (cbrt (/ t1 (+ t1 u))) (cbrt (/ t1 (+ t1 u)))))
159.0ms
(cbrt (/ t1 (+ t1 u)))
162.0ms
(cbrt (/ t1 (+ t1 u)))
197.0ms
(cbrt (/ t1 (+ t1 u)))

simplify1.5s

Counts
123 → 123
Iterations
IterNodes
done5001
31629
2520
1233
0123

prune896.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes252.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done24
324
222
116
010

end0.0ms

sample693.0ms

Algorithm
intervals
Results
461.0ms8265×body80valid