Details

Time bar (total: 12.5s)

sample42.0ms

Algorithm
intervals
Results
13.0ms71×body640valid
6.0ms125×body80valid
6.0ms41×body320valid
2.0ms19×body160valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
19
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.7b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite135.0ms

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:
11.0ms
(/ 1.0 (+ x 1.0))
91.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series162.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ 1.0 (+ x 1.0))
113.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.1s

Counts
320 → 320
Iterations
IterNodes
done5000
23264
1919
0387

prune1.3s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

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))
2.2b
(- (* 1.0 x) (* (+ x 1.0) 1.0))

rewrite63.0ms

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:
30.0ms
(* (+ x 1.0) x)
24.0ms
(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
7.0ms
(- (* 1.0 x) (* (+ x 1.0) 1.0))

series125.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(* (+ x 1.0) x)
46.0ms
(/ (- (* 1.0 x) (* (+ x 1.0) 1.0)) (* (+ x 1.0) x))
14.0ms
(- (* 1.0 x) (* (+ x 1.0) 1.0))

simplify2.0s

Counts
76 → 76
Iterations
IterNodes
done5002
22467
1369
0122

prune303.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.3b
(/ (- 1.0) (* (+ x 1.0) x))

rewrite54.0ms

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:
30.0ms
(* (+ x 1.0) x)
21.0ms
(/ (- 1.0) (* (+ x 1.0) x))

series135.0ms

Counts
2 → 6
Calls
2 calls:
83.0ms
(* (+ x 1.0) x)
51.0ms
(/ (- 1.0) (* (+ x 1.0) x))

simplify1.3s

Counts
70 → 70
Iterations
IterNodes
done5000
21758
1306
0122

prune301.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

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:
11.0ms
(/ (- 1.0) (+ x 1.0))
39.0ms
(/ (/ (- 1.0) (+ x 1.0)) x)

series98.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(/ (- 1.0) (+ x 1.0))
47.0ms
(/ (/ (- 1.0) (+ x 1.0)) x)

simplify2.3s

Counts
284 → 284
Iterations
IterNodes
done5000
24327
1910
0367

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes60.0ms

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

sample888.0ms

Algorithm
intervals
Results
356.0ms1855×body640valid
188.0ms4287×body80valid
123.0ms1253×body320valid
72.0ms605×body160valid