Details

Time bar (total: 10.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms271×body80valid

simplify50.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0911
12111
23611
35611
48211
510011
done10011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ 1.0 (* z z))
2.3b
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
3.5b
(* y (+ 1.0 (* z z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
31×times-frac
21×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
13×associate-/l*
6×cbrt-undiv div-exp
5×pow1 add-log-exp
4×associate-*r/
3×flip3-+ associate-*r* associate-*l* prod-exp cbrt-unprod flip-+ div-inv
2×associate-/r/
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num associate-/r* sum-log *-commutative associate-/l/ unswap-sqr
Counts
3 → 81
Calls
3 calls:
2.0ms
(+ 1.0 (* z z))
7.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
7.0ms
(* y (+ 1.0 (* z z)))

series142.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ 1.0 (* z z))
58.0ms
(/ (/ 1.0 x) (* y (+ 1.0 (* z z))))
51.0ms
(* y (+ 1.0 (* z z)))

simplify869.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (195.0ms)

IterNodesCost
01651186
14311154
21429990
done5000990

prune212.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.3b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* z z))
0.4b
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
2.2b
(* (* y (+ 1.0 (* z z))) x)
3.5b
(* y (+ 1.0 (* z z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
11×pow1 add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×associate-*r/ associate-*r* add-log-exp
4×flip3-+ associate-*l* pow-prod-down associate-*l/ flip-+
3×cbrt-undiv times-frac div-exp associate-/l*
2×associate-/r/ *-commutative
1×+-commutative distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* sum-log div-inv unswap-sqr
Counts
4 → 78
Calls
4 calls:
2.0ms
(+ 1.0 (* z z))
12.0ms
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
11.0ms
(* (* y (+ 1.0 (* z z))) x)
8.0ms
(* y (+ 1.0 (* z z)))

series205.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ 1.0 (* z z))
62.0ms
(/ 1.0 (* (* y (+ 1.0 (* z z))) x))
52.0ms
(* (* y (+ 1.0 (* z z))) x)
57.0ms
(* y (+ 1.0 (* z z)))

simplify967.0ms

Counts
90 → 90
Iterations

Useful iterations: 2 (204.0ms)

IterNodesCost
01371147
13891112
21591902
done5000902

prune193.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.3b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* z z))
0.2b
(/ 1.0 (* y (+ 1.0 (* z z))))
2.3b
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
3.5b
(* y (+ 1.0 (* z z)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
28×add-sqr-sqrt
26×add-cube-cbrt *-un-lft-identity
20×add-exp-log add-cbrt-cube
12×associate-*r/ associate-/l*
10×associate-/r/
7×cbrt-undiv flip3-+ div-exp flip-+
6×pow1 div-inv add-log-exp
4×associate-/r*
3×associate-*r* associate-*l* prod-exp cbrt-unprod
2×frac-2neg clear-num
1×+-commutative distribute-rgt-in distribute-lft-in pow-prod-down sum-log *-commutative associate-/l/ unswap-sqr
Counts
4 → 112
Calls
4 calls:
2.0ms
(+ 1.0 (* z z))
4.0ms
(/ 1.0 (* y (+ 1.0 (* z z))))
8.0ms
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
7.0ms
(* y (+ 1.0 (* z z)))

series214.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(+ 1.0 (* z z))
57.0ms
(/ 1.0 (* y (+ 1.0 (* z z))))
65.0ms
(/ (/ 1.0 (* y (+ 1.0 (* z z)))) x)
57.0ms
(* y (+ 1.0 (* z z)))

simplify986.0ms

Counts
124 → 124
Iterations

Useful iterations: 2 (346.0ms)

IterNodesCost
02041877
15261800
218491582
done50011582

prune299.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 4.3b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ 1.0 (* z z))
0.7b
(/ (cbrt 1.0) (+ 1.0 (* z z)))
2.0b
(/ (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ x (/ (cbrt 1.0) (+ 1.0 (* z z)))))
4.8b
(/ x (/ (cbrt 1.0) (+ 1.0 (* z z))))

rewrite131.0ms

Algorithm
rewrite-expression-head
Rules
1943×times-frac
764×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
264×cbrt-prod
117×div-inv
104×associate-/r*
68×associate-/r/
47×add-exp-log
36×add-cbrt-cube
30×flip3-+ flip-+
28×cbrt-undiv div-exp
16×associate-/l*
6×add-log-exp
4×pow1
3×frac-2neg prod-exp clear-num cbrt-unprod
1×+-commutative sum-log associate-/l/
Counts
4 → 819
Calls
4 calls:
2.0ms
(+ 1.0 (* z z))
5.0ms
(/ (cbrt 1.0) (+ 1.0 (* z z)))
35.0ms
(/ (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ x (/ (cbrt 1.0) (+ 1.0 (* z z)))))
9.0ms
(/ x (/ (cbrt 1.0) (+ 1.0 (* z z))))

series386.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(+ 1.0 (* z z))
74.0ms
(/ (cbrt 1.0) (+ 1.0 (* z z)))
130.0ms
(/ (/ (* (cbrt 1.0) (cbrt 1.0)) y) (/ x (/ (cbrt 1.0) (+ 1.0 (* z z)))))
150.0ms
(/ x (/ (cbrt 1.0) (+ 1.0 (* z z))))

simplify2.7s

Counts
831 → 831
Iterations

Useful iterations: done (2.6s)

IterNodesCost
0133227910
1416626477
done500026135

prune2.7s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 4.3b

regimes219.0ms

Accuracy

0% (1.6b remaining)

Error of 6.5b against oracle of 4.9b and baseline of 6.5b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01218
11318
done1318

end0.0ms

sample415.0ms

Algorithm
intervals
Results
237.0ms8601×body80valid