Details

Time bar (total: 6.4s)

sample28.0ms

Algorithm
intervals
Results
17.0ms307×body80valid

simplify670.0ms

Counts
1 → 1
Iterations
IterNodes
done2005
101219
9525
8246
7140
6102
583
461
339
220
111
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×prod-diff add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
9×add-cbrt-cube add-exp-log
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×expm1-log1p-u cbrt-undiv sub-neg flip3-- div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u 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 → 73
Calls
2 calls:
31.0ms
(* x (- y z))
34.0ms
(/ (* x (- y z)) y)

series140.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* x (- y z))
87.0ms
(/ (* x (- y z)) y)

simplify488.0ms

Counts
79 → 79
Iterations
IterNodes
done2002
2946
1333
0142

prune214.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

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×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 145
Calls
2 calls:
8.0ms
(/ y (- y z))
18.0ms
(/ x (/ y (- y z)))

series121.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ y (- y z))
66.0ms
(/ x (/ y (- y z)))

simplify511.0ms

Counts
151 → 151
Iterations
IterNodes
done2000
1561
0224

prune557.0ms

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))

rewrite55.0ms

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×expm1-log1p-u cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 log1p-expm1-u 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 → 82
Calls
2 calls:
17.0ms
(/ (- y z) y)
37.0ms
(* x (/ (- y z) y))

series147.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (- y z) y)
88.0ms
(* x (/ (- y z) y))

simplify589.0ms

Counts
88 → 88
Iterations
IterNodes
done2003
2950
1286
0117

prune325.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
21×prod-diff
20×add-sqr-sqrt *-un-lft-identity
18×add-cube-cbrt
12×times-frac
7×add-cbrt-cube add-exp-log
4×div-inv add-log-exp
3×associate-/r* fma-neg
2×expm1-log1p-u pow1 cbrt-undiv div-exp insert-posit16 log1p-expm1-u
1×clear-num sub-neg frac-2neg flip3-- diff-log prod-exp cbrt-unprod flip-- associate-/l* distribute-lft-out-- difference-of-squares
Counts
2 → 65
Calls
2 calls:
7.0ms
(- x (/ (* x z) y))
9.0ms
(/ (* x z) y)

series75.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- x (/ (* x z) y))
35.0ms
(/ (* x z) y)

simplify769.0ms

Counts
71 → 71
Iterations
IterNodes
done2002
2942
1324
0127

prune266.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

-1.7% (3.1b remaining)

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

bsearch106.0ms

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

simplify3.0ms

Iterations
IterNodes
done21
121
018

end0.0ms

sample1.0s

Algorithm
intervals
Results
765.0ms9562×body80valid