Details

Time bar (total: 4.1s)

sample16.0ms

Algorithm
intervals
Results
5.0ms74×body640valid
2.0ms123×body80valid
2.0ms45×body320valid
0.0ms14×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
069
199
2129
done129

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.8b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
1.3b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite82.0ms

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×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×associate-/l*
2×pow1 expm1-log1p-u log1p-expm1-u
1×cbrt-undiv sub-neg flip3-- frac-2neg diff-log div-exp clear-num frac-sub flip--
Counts
2 → 314
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
49.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series84.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1.0 (+ x 1.0))
59.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify718.0ms

Counts
320 → 320
Iterations

Useful iterations: done (705.0ms)

IterNodesCost
038712162
181410606
221677734
done50007698

prune365.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
17×add-exp-log add-sqr-sqrt add-cbrt-cube
13×add-cube-cbrt
12×prod-diff
8×add-log-exp
5×pow1 prod-exp cbrt-unprod distribute-lft-out
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×expm1-log1p-u fma-neg associate-*r* log1p-expm1-u
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg times-frac pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv associate-/l* associate--r+ difference-of-squares unswap-sqr
Counts
3 → 84
Calls
3 calls:
10.0ms
(* (+ x 1.0) x)
26.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
10.0ms
(- x (+ x 1.0))

series86.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (+ x 1.0) x)
34.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
10.0ms
(- x (+ x 1.0))

simplify679.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (212.0ms)

IterNodesCost
01451352
13981032
21933756
done5000756

prune137.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-exp-log add-sqr-sqrt add-cube-cbrt add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp
4×distribute-lft-out associate-/l*
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod log1p-expm1-u div-inv add-log-exp
1×flip3-+ distribute-frac-neg associate-*l/ distribute-rgt-neg-out flip-+ associate-/l/
Counts
2 → 62
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
8.0ms
(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

series62.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1.0 (+ x 1.0))
35.0ms
(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

simplify484.0ms

Counts
68 → 68
Iterations

Useful iterations: 2 (122.0ms)

IterNodesCost
0130827
1330769
21320670
done5000670

prune114.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.2b
(/ (* 1.0 (log1p (expm1 (- 1.0)))) (* (+ x 1.0) x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
6×add-sqr-sqrt *-un-lft-identity
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt div-exp associate-*l* associate-*l/
3×associate-*r*
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 48
Calls
2 calls:
10.0ms
(* (+ x 1.0) x)
6.0ms
(/ (* 1.0 (log1p (expm1 (- 1.0)))) (* (+ x 1.0) x))

series161.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* (+ x 1.0) x)
118.0ms
(/ (* 1.0 (log1p (expm1 (- 1.0)))) (* (+ x 1.0) x))

simplify501.0ms

Counts
54 → 54
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
0101716
1288619
21390492
done5000492

prune92.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11110
21610
31810
done1810

end0.0ms

sample388.0ms

Algorithm
intervals
Results
134.0ms1944×body640valid
80.0ms4201×body80valid
64.0ms1274×body320valid
20.0ms584×body160valid