Details

Time bar (total: 23.3s)

sample27.0ms

Algorithm
intervals
Results
7.0ms154×body80valid
5.0ms60×body640valid
2.0ms27×body320valid
1.0ms15×body160valid

simplify15.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
19
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
1.6b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite251.0ms

Algorithm
rewrite-expression-head
Rules
362×*-un-lft-identity
358×times-frac
265×add-sqr-sqrt
253×add-cube-cbrt
234×prod-diff
49×distribute-lft-out
35×div-inv
30×associate-/r/
18×fma-neg
15×flip3-+ flip-+
8×distribute-lft-out--
4×associate-/r* add-cbrt-cube add-exp-log add-log-exp difference-of-squares
3×associate-/l*
2×expm1-log1p-u pow1 insert-posit16 log1p-expm1-u
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp frac-sub flip--
Counts
2 → 316
Calls
2 calls:
32.0ms
(/ 1.0 (+ x 1.0))
148.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series133.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ 1.0 (+ x 1.0))
100.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify4.7s

Counts
322 → 322
Iterations
IterNodes
done5000
22283
1920
0389

prune2.0s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.4b

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.0b
(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
1.2b
(- (* 1.0 x) (* (+ x 1.0) 1.0))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
10×add-cbrt-cube add-exp-log
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
5×pow1 add-log-exp
4×associate-*l* associate-*l/
3×expm1-log1p-u times-frac associate-*r* insert-posit16 log1p-expm1-u associate-/l*
2×cbrt-undiv flip3-+ flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- associate-/l/
1×clear-num associate-/r* sub-neg frac-2neg fma-neg diff-log div-sub prod-diff pow-prod-down *-commutative div-inv distribute-lft-out unswap-sqr
Counts
3 → 70
Calls
3 calls:
49.0ms
(* (+ x 1.0) x)
44.0ms
(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
23.0ms
(- (* 1.0 x) (* (+ x 1.0) 1.0))

series134.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(* (+ x 1.0) x)
58.0ms
(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
9.0ms
(- (* 1.0 x) (* (+ x 1.0) 1.0))

simplify3.9s

Counts
79 → 79
Iterations
IterNodes
done5004
21650
1370
0125

prune657.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.5b
(/ (- 1.0) (* (+ x 1.0) x))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
10×times-frac add-cube-cbrt associate-/l*
9×add-cbrt-cube add-exp-log
6×distribute-lft-neg-in distribute-rgt-neg-in
4×pow1 associate-*l* associate-*l/
3×associate-*r*
2×expm1-log1p-u cbrt-undiv neg-mul-1 flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ insert-posit16 log1p-expm1-u add-log-exp
1×neg-sub0 clear-num associate-/r* frac-2neg div-sub pow-prod-down distribute-frac-neg *-commutative div-inv distribute-lft-out unswap-sqr
Counts
2 → 66
Calls
2 calls:
57.0ms
(* (+ x 1.0) x)
26.0ms
(/ (- 1.0) (* (+ x 1.0) x))

series128.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(* (+ x 1.0) x)
54.0ms
(/ (- 1.0) (* (+ x 1.0) x))

simplify2.7s

Counts
72 → 72
Iterations
IterNodes
done5000
21021
1307
0124

prune695.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0) (+ x 1.0))
0.0b
(/ (/ (- 1.0) (+ x 1.0)) x)

rewrite127.0ms

Algorithm
rewrite-expression-head
Rules
338×times-frac
269×*-un-lft-identity
167×add-sqr-sqrt add-cube-cbrt
63×distribute-lft-neg-in distribute-rgt-neg-in
56×associate-/l*
51×distribute-lft-out
21×neg-mul-1
10×associate-/r/
9×add-cbrt-cube add-exp-log
7×associate-/r*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
3×div-sub distribute-frac-neg
2×neg-sub0 expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 280
Calls
2 calls:
19.0ms
(/ (- 1.0) (+ x 1.0))
62.0ms
(/ (/ (- 1.0) (+ x 1.0)) x)

series111.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ (- 1.0) (+ x 1.0))
79.0ms
(/ (/ (- 1.0) (+ x 1.0)) x)

simplify4.2s

Counts
286 → 286
Iterations
IterNodes
done5001
22300
1877
0369

prune2.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done11
211
19
06

end0.0ms

sample942.0ms

Algorithm
intervals
Results
376.0ms1929×body640valid
165.0ms4189×body80valid
120.0ms1244×body320valid
79.0ms639×body160valid