Details

Time bar (total: 13.2s)

sample23.0ms

Algorithm
intervals
Results
5.0ms50×body640valid
4.0ms135×body80valid
4.0ms47×body320valid
1.0ms24×body160valid

simplify5.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
19
06

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
3.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite149.0ms

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 log1p-expm1-u
1×cbrt-undiv clear-num sub-neg frac-2neg flip3-- diff-log div-exp frac-sub flip--
Counts
2 → 314
Calls
2 calls:
9.0ms
(/ 1.0 (+ x 1.0))
101.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series120.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ 1.0 (+ x 1.0))
78.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.1s

Counts
320 → 320
Iterations
IterNodes
done5000
22272
1917
0387

prune955.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize23.0ms

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))
3.1b
(- (* 1.0 x) (* (+ x 1.0) 1.0))

rewrite49.0ms

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* 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 → 67
Calls
3 calls:
17.0ms
(* (+ x 1.0) x)
20.0ms
(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
10.0ms
(- (* 1.0 x) (* (+ x 1.0) 1.0))

series118.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* (+ x 1.0) x)
52.0ms
(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
13.0ms
(- (* 1.0 x) (* (+ x 1.0) 1.0))

simplify2.2s

Counts
76 → 76
Iterations
IterNodes
done5000
21628
1368
0122

prune313.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.2b
(/ (- 1.0) (* (+ x 1.0) x))

rewrite38.0ms

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-+ 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 → 64
Calls
2 calls:
20.0ms
(* (+ x 1.0) x)
16.0ms
(/ (- 1.0) (* (+ x 1.0) x))

series114.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(* (+ x 1.0) x)
55.0ms
(/ (- 1.0) (* (+ x 1.0) x))

simplify1.4s

Counts
70 → 70
Iterations
IterNodes
done5003
21026
1304
0122

prune359.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0) (+ x 1.0))
0.1b
(/ (/ (- 1.0) (+ x 1.0)) x)

rewrite105.0ms

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 log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 278
Calls
2 calls:
26.0ms
(/ (- 1.0) (+ x 1.0))
50.0ms
(/ (/ (- 1.0) (+ x 1.0)) x)

series93.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ (- 1.0) (+ x 1.0))
56.0ms
(/ (/ (- 1.0) (+ x 1.0)) x)

simplify2.4s

Counts
284 → 284
Iterations
IterNodes
done5000
22329
1875
0367

prune1.1s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done11
211
19
06

end0.0ms

sample1.3s

Algorithm
intervals
Results
570.0ms1311×body320valid
329.0ms1873×body640valid
212.0ms4176×body80valid
52.0ms640×body160valid