Details

Time bar (total: 13.7s)

sample21.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done14
214
111
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.0b

localize18.0ms

Local error

Found 1 expressions with local error:

9.0b
(/ (+ x y) (- 1.0 (/ y z)))

rewrite55.0ms

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:
52.0ms
(/ (+ x y) (- 1.0 (/ y z)))

series94.0ms

Counts
1 → 3
Calls
1 calls:
94.0ms
(/ (+ x y) (- 1.0 (/ y z)))

simplify2.0s

Counts
55 → 55
Iterations
IterNodes
done5002
33469
2712
1214
097

prune224.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.6b

localize17.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ 1 (- 1.0 (/ y z)))
8.2b
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

rewrite78.0ms

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:
17.0ms
(/ 1 (- 1.0 (/ y z)))
57.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

series123.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(/ 1 (- 1.0 (/ y z)))
66.0ms
(* (+ x y) (/ 1 (- 1.0 (/ y z))))

simplify5.2s

Counts
107 → 107
Iterations
IterNodes
done5000
23263
1377
0147

prune522.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.6b

localize21.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
9.0b
(/ (- 1.0 (/ y z)) (+ x y))

rewrite122.0ms

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:
50.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
54.0ms
(/ (- 1.0 (/ y z)) (+ x y))

series237.0ms

Counts
2 → 6
Calls
2 calls:
177.0ms
(/ 1 (/ (- 1.0 (/ y z)) (+ x y)))
60.0ms
(/ (- 1.0 (/ y z)) (+ x y))

simplify1.1s

Counts
205 → 205
Iterations
IterNodes
done5001
23046
1669
0249

prune653.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1.0 (+ y x))
0.0b
(* (+ y x) z)
0.2b
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
7.7b
(/ y (* (+ y x) z))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
48×*-un-lft-identity
43×times-frac
30×add-cube-cbrt
23×associate-/r/
17×add-exp-log
15×add-cbrt-cube
13×associate-/r*
12×associate-*l/
11×flip3-+ flip-+
9×associate-/l*
8×distribute-rgt-out-- difference-of-squares
7×pow1
5×div-exp distribute-lft-out
4×expm1-log1p-u cbrt-undiv associate-*l* log1p-expm1-u distribute-lft-out-- add-log-exp
3×clear-num frac-2neg associate-*r* div-inv
2×prod-exp cbrt-unprod
1×rec-exp flip3-- 1-exp pow-prod-down *-commutative frac-sub pow-flip flip-- inv-pow unswap-sqr
Counts
4 → 139
Calls
4 calls:
9.0ms
(/ 1.0 (+ y x))
16.0ms
(* (+ y x) z)
98.0ms
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
15.0ms
(/ y (* (+ y x) z))

series247.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(/ 1.0 (+ y x))
27.0ms
(* (+ y x) z)
83.0ms
(/ 1 (- (/ 1.0 (+ y x)) (/ y (* (+ y x) z))))
83.0ms
(/ y (* (+ y x) z))

simplify867.0ms

Counts
151 → 151
Iterations
IterNodes
done5000
21856
1454
0216

prune650.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes220.0ms

Accuracy

90.2% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.5b

bsearch60.0ms

Steps
ItersRangePoint
8
7.42116589675916e-09
5.1798647897020696e-05
5.796785265433716e-08
5
-1.0087594210629803e+24
-3.812236742374531e+23
-5.606840220864805e+23

simplify3.0ms

Iterations
IterNodes
done26
126
021

end0.0ms

sample990.0ms

Algorithm
intervals
Results
757.0ms8000×body80valid