Details

Time bar (total: 5.7s)

sample31.0ms

Algorithm
intervals
Results
19.0ms307×body80valid

simplify671.0ms

Counts
1 → 1
Iterations
IterNodes
done2001
101026
9469
8224
7122
686
573
453
337
220
111
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
13.6b
(/ (* x (- y z)) y)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-cbrt-cube add-exp-log
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp prod-exp cbrt-unprod insert-posit16 flip-- add-log-exp associate-/l/
1×clear-num frac-2neg pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 51
Calls
2 calls:
19.0ms
(* x (- y z))
14.0ms
(/ (* x (- y z)) y)

series115.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* x (- y z))
69.0ms
(/ (* x (- y z)) y)

simplify537.0ms

Counts
57 → 57
Iterations
IterNodes
done2001
2706
1232
092

prune219.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
3.2b
(/ x (/ y (- y z)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
Counts
2 → 141
Calls
2 calls:
13.0ms
(/ y (- y z))
16.0ms
(/ x (/ y (- y z)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(/ y (- y z))
74.0ms
(/ x (/ y (- y z)))

simplify420.0ms

Counts
147 → 147
Iterations
IterNodes
done2000
1556
0220

prune492.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
3.6b
(* x (/ (- y z) y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-cbrt-cube add-exp-log
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-/r* associate-*l*
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 flip3-- div-sub pow-prod-down associate-*r/ *-commutative flip--
Counts
2 → 78
Calls
2 calls:
17.0ms
(/ (- y z) y)
24.0ms
(* x (/ (- y z) y))

series117.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- y z) y)
73.0ms
(* x (/ (- y z) y))

simplify551.0ms

Counts
84 → 84
Iterations
IterNodes
done2001
2919
1278
0113

prune246.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- x (/ (* x z) y))
6.8b
(/ (* x z) y)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube add-exp-log
6×add-sqr-sqrt *-un-lft-identity
4×add-cube-cbrt add-log-exp
3×associate-/r* times-frac
2×pow1 cbrt-undiv div-exp insert-posit16
1×clear-num sub-neg frac-2neg flip3-- diff-log prod-exp cbrt-unprod div-inv flip-- associate-/l* distribute-lft-out-- difference-of-squares
Counts
2 → 37
Calls
2 calls:
8.0ms
(- x (/ (* x z) y))
13.0ms
(/ (* x z) y)

series69.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- x (/ (* x z) y))
28.0ms
(/ (* x z) y)

simplify411.0ms

Counts
43 → 43
Iterations
IterNodes
done2000
2627
1180
073

prune122.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

-1.7% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.0b

bsearch100.0ms

Steps
ItersRangePoint
7
6.674695185239405e-233
4.0135849481903295e-231
2.6779333906407255e-232
9
-2.7472107684110658e-06
-4.372979365646395e-14
-7.326181763082673e-13

simplify5.0ms

Iterations
IterNodes
done21
121
018

end0.0ms

sample1.1s

Algorithm
intervals
Results
894.0ms9562×body80valid