Details

Time bar (total: 17.0s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize17.0ms

Local error

Found 1 expressions with local error:

8.1b
(/ (+ y x) (- 1.0 (/ y z)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
37×*-un-lft-identity
29×times-frac
13×add-cube-cbrt
10×difference-of-squares
7×distribute-lft-out
6×associate-/r*
5×distribute-lft-out--
4×associate-/l*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×expm1-log1p-u pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ log1p-expm1-u div-inv flip-- add-log-exp
Counts
1 → 52
Calls
1 calls:
38.0ms
(/ (+ y x) (- 1.0 (/ y z)))

series73.0ms

Counts
1 → 3
Calls
1 calls:
73.0ms
(/ (+ y x) (- 1.0 (/ y z)))

simplify2.1s

Counts
55 → 55
Iterations
IterNodes
done5002
33465
2712
1214
097

prune284.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (- 1.0 (/ y z)))
8.0b
(* (+ y x) (/ 1 (- 1.0 (/ y z))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
45×times-frac
41×*-un-lft-identity
24×associate-*r* add-cube-cbrt
15×add-exp-log
14×difference-of-squares
9×add-cbrt-cube
7×distribute-lft-out--
6×associate-/r*
5×pow1
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×expm1-log1p-u frac-times cbrt-undiv rec-exp flip3-+ flip3-- 1-exp associate-*l/ cbrt-unprod flip-+ log1p-expm1-u div-inv flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip distribute-lft-out inv-pow
Counts
2 → 101
Calls
2 calls:
35.0ms
(/ 1 (- 1.0 (/ y z)))
71.0ms
(* (+ y x) (/ 1 (- 1.0 (/ y z))))

series135.0ms

Counts
2 → 6
Calls
2 calls:
71.0ms
(/ 1 (- 1.0 (/ y z)))
64.0ms
(* (+ y x) (/ 1 (- 1.0 (/ y z))))

simplify5.7s

Counts
107 → 107
Iterations
IterNodes
done5000
23263
1377
0147

prune472.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.2b

localize23.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
8.2b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
231×times-frac
194×add-sqr-sqrt
193×*-un-lft-identity
89×add-cube-cbrt
42×difference-of-squares
34×associate-/r*
31×distribute-lft-out
21×distribute-lft-out--
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube associate-/l*
8×div-exp
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp clear-num frac-2neg 1-exp log1p-expm1-u add-log-exp associate-/l/
1×flip3-- div-sub pow-flip flip-- inv-pow
Counts
2 → 199
Calls
2 calls:
52.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
48.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series268.0ms

Counts
2 → 6
Calls
2 calls:
198.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
69.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.2s

Counts
205 → 205
Iterations
IterNodes
done5001
23046
1669
0249

prune656.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 1.0 (+ y x)) (/ y (* (+ y x) z)))
0.0b
(/ 1.0 (+ y x))
0.2b
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
10.1b
(/ y (* (+ y x) z))

rewrite276.0ms

Algorithm
rewrite-expression-head
Rules
222×*-un-lft-identity
218×times-frac
169×add-sqr-sqrt
162×prod-diff
144×add-cube-cbrt
83×associate-/r/
48×associate-*l/
40×flip3-+ flip-+
34×distribute-lft-out
31×div-inv
18×fma-neg
15×add-exp-log
13×associate-/r* add-cbrt-cube
10×distribute-rgt-out-- difference-of-squares
9×associate-/l*
6×add-log-exp
5×pow1 div-exp distribute-lft-out--
4×expm1-log1p-u cbrt-undiv log1p-expm1-u
3×clear-num frac-2neg
2×flip3-- frac-sub flip--
1×rec-exp sub-neg diff-log 1-exp prod-exp cbrt-unprod pow-flip inv-pow
Counts
4 → 316
Calls
4 calls:
127.0ms
(- (/ 1.0 (+ y x)) (/ y (* (+ y x) z)))
11.0ms
(/ 1.0 (+ y x))
109.0ms
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
10.0ms
(/ y (* (+ y x) z))

series447.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(- (/ 1.0 (+ y x)) (/ y (* (+ y x) z)))
85.0ms
(/ 1.0 (+ y x))
98.0ms
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
101.0ms
(/ y (* (+ y x) z))

simplify1.9s

Counts
328 → 328
Iterations
IterNodes
done5001
23059
1835
0378

prune1.8s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

regimes440.0ms

Accuracy

61.1% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 6.9b

bsearch126.0ms

Steps
ItersRangePoint
8
3.222106461672548e-82
2.8056560899916725e-78
2.529936809907234e-78
8
-1.523613634454589e-20
-5.833665909841606e-25
-3.23807260821511e-21

simplify3.0ms

Iterations
IterNodes
done27
127
020

end0.0ms

sample827.0ms

Algorithm
intervals
Results
443.0ms7998×body80valid
0.0ms1×body320valid
0.0ms1×body1280valid