Details

Time bar (total: 6.8s)

sample25.0ms

Algorithm
intervals
Results
15.0ms281×body80valid

simplify100.0ms

Counts
1 → 1
Iterations
IterNodes
done138
9138
8137
7128
6115
590
467
346
227
114
08

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.6b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
8.6b
(/ (* x (- y z)) (- t z))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×*-un-lft-identity
9×add-cbrt-cube add-exp-log
6×add-cube-cbrt
5×associate-/r* times-frac associate-*r*
4×pow1 associate-*r/
3×flip3-- associate-*l* flip-- distribute-lft-out-- difference-of-squares
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in div-exp prod-exp associate-/r/ cbrt-unprod insert-posit16 add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* unswap-sqr
Counts
2 → 57
Calls
2 calls:
14.0ms
(* x (- y z))
20.0ms
(/ (* x (- y z)) (- t z))

series120.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (- y z))
79.0ms
(/ (* x (- y z)) (- t z))

simplify484.0ms

Counts
63 → 63
Iterations
IterNodes
done2003
2808
1275
0107

prune219.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) (- t z))
1.8b
(* x (/ (- y z) (- t z)))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
70×*-un-lft-identity
51×times-frac
31×associate-*r*
26×add-cube-cbrt
22×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube add-exp-log
5×associate-/r* associate-/l*
4×pow1 associate-/r/
3×flip3-- associate-*l* flip--
2×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg div-sub pow-prod-down associate-*r/ *-commutative
Counts
2 → 104
Calls
2 calls:
21.0ms
(/ (- y z) (- t z))
35.0ms
(* x (/ (- y z) (- t z)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ (- y z) (- t z))
87.0ms
(* x (/ (- y z) (- t z)))

simplify675.0ms

Counts
110 → 110
Iterations
IterNodes
done2000
21154
1369
0140

prune346.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- t z) (- y z))
1.8b
(/ x (/ (- t z) (- y z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
11×associate-/r/
9×add-cbrt-cube add-exp-log
8×associate-/l*
6×flip3-- div-inv flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
1×div-sub
Counts
2 → 196
Calls
2 calls:
19.0ms
(/ (- t z) (- y z))
18.0ms
(/ x (/ (- t z) (- y z)))

series253.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- t z) (- y z))
199.0ms
(/ x (/ (- t z) (- y z)))

simplify531.0ms

Counts
202 → 202
Iterations
IterNodes
done2001
1718
0272

prune696.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* (- t z) (/ 1 (- y z)))
1.8b
(/ x (* (- t z) (/ 1 (- y z))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
42×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
10×associate-/r/
8×prod-exp distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv associate-/r* flip3-- flip-- associate-/l*
5×associate-*l*
4×frac-times associate-*l/ cbrt-unprod
3×rec-exp 1-exp insert-posit16 div-inv add-log-exp unswap-sqr
2×clear-num frac-2neg associate-*r/ un-div-inv
1×pow-prod-down *-commutative pow-flip inv-pow
Counts
3 → 125
Calls
3 calls:
12.0ms
(/ 1 (- y z))
43.0ms
(* (- t z) (/ 1 (- y z)))
20.0ms
(/ x (* (- t z) (/ 1 (- y z))))

series331.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ 1 (- y z))
63.0ms
(* (- t z) (/ 1 (- y z)))
213.0ms
(/ x (* (- t z) (/ 1 (- y z))))

simplify984.0ms

Counts
134 → 134
Iterations
IterNodes
done2008
21703
1426
0174

prune345.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes277.0ms

Accuracy

26.3% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 2.2b

bsearch1.0ms

simplify5.0ms

Iterations
IterNodes
done25
125
020

end0.0ms

sample941.0ms

Algorithm
intervals
Results
666.0ms8708×body80valid