Details

Time bar (total: 13.5s)

sample32.0ms

Algorithm
intervals
Results
11.0ms302×body80valid

simplify2.7s

Counts
1 → 1
Iterations
IterNodes
done5000
124250
112114
101026
9469
8224
7122
686
573
453
337
220
111
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
11.8b
(/ (* x (- y z)) y)

rewrite46.0ms

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 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 → 49
Calls
2 calls:
26.0ms
(* x (- y z))
18.0ms
(/ (* x (- y z)) y)

series125.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* x (- y z))
69.0ms
(/ (* x (- y z)) y)

simplify2.2s

Counts
55 → 55
Iterations
IterNodes
done5001
33400
2701
1230
090

prune242.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.5b
(/ x (/ y (- y z)))

rewrite50.0ms

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 add-log-exp
Counts
2 → 139
Calls
2 calls:
16.0ms
(/ y (- y z))
22.0ms
(/ x (/ y (- y z)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ y (- y z))
67.0ms
(/ x (/ y (- y z)))

simplify1.7s

Counts
145 → 145
Iterations
IterNodes
done5000
22297
1554
0218

prune658.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- y z))
0.2b
(* y (/ 1 (- y z)))
2.5b
(/ x (* y (/ 1 (- y z))))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
40×*-un-lft-identity
35×times-frac
31×add-exp-log
25×add-cube-cbrt
21×associate-*r*
19×add-cbrt-cube
11×div-exp
8×prod-exp
7×distribute-lft-out-- difference-of-squares
6×pow1 cbrt-undiv associate-/r* associate-/r/ associate-/l*
4×cbrt-unprod
3×rec-exp 1-exp associate-*l* div-inv add-log-exp unswap-sqr
2×clear-num frac-2neg flip3-- associate-*r/ un-div-inv flip--
1×pow-prod-down *-commutative pow-flip inv-pow
Counts
3 → 112
Calls
3 calls:
16.0ms
(/ 1 (- y z))
36.0ms
(* y (/ 1 (- y z)))
21.0ms
(/ x (* y (/ 1 (- y z))))

series184.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ 1 (- y z))
62.0ms
(* y (/ 1 (- y z)))
73.0ms
(/ x (* y (/ 1 (- y z))))

simplify1.2s

Counts
121 → 121
Iterations
IterNodes
done5000
21234
1357
0147

prune396.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
2.7b
(* x (/ (- y z) y))

rewrite63.0ms

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 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 → 76
Calls
2 calls:
20.0ms
(/ (- y z) y)
39.0ms
(* x (/ (- y z) y))

series117.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- y z) y)
68.0ms
(* x (/ (- y z) y))

simplify2.1s

Counts
82 → 82
Iterations
IterNodes
done5001
34082
2932
1276
0111

prune244.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes211.0ms

Accuracy

7.3% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 3.1b

bsearch55.0ms

Steps
ItersRangePoint
7
1.8515451934410557e-304
6.757511290537117e-303
1.3183265886093979e-303
8
-8.492677192714912e-172
-8.3353368175806e-175
-7.987697433686589e-172

simplify4.0ms

Iterations
IterNodes
done19
119
017

end0.0ms

sample839.0ms

Algorithm
intervals
Results
355.0ms9566×body80valid