Details

Time bar (total: 14.4s)

sample35.0ms

Algorithm
intervals
Results
8.0ms46×body640valid
8.0ms57×body320valid
7.0ms139×body80valid
1.0ms14×body160valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2129
done129

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
8×distribute-lft-out--
7×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×div-inv associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 58
Calls
2 calls:
12.0ms
(/ 1.0 (+ x 1.0))
107.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series117.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ 1.0 (+ x 1.0))
75.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify3.8s

Counts
64 → 64
Iterations

Useful iterations: 4 (2.3s)

IterNodesCost
0120810
1267766
2622724
31474718
44770714
done5002714

prune132.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.3b
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
4×pow1 times-frac associate-*l* associate-*l/ associate-/l*
3×associate-*r*
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ add-log-exp difference-of-squares
1×flip3-- frac-2neg sub0-neg div-sub distribute-frac-neg pow-prod-down clear-num associate-/r* *-commutative flip-- div-inv distribute-lft-out unswap-sqr
Counts
2 → 50
Calls
2 calls:
31.0ms
(* (+ x 1.0) x)
26.0ms
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

series138.0ms

Counts
2 → 6
Calls
2 calls:
87.0ms
(* (+ x 1.0) x)
51.0ms
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

simplify1.6s

Counts
56 → 56
Iterations

Useful iterations: 2 (313.0ms)

IterNodesCost
0108700
1282629
2984531
done5001531

prune163.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
151×*-un-lft-identity
89×add-sqr-sqrt add-cube-cbrt
36×associate-/l*
31×distribute-lft-out
21×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
10×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/r*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
3×div-sub distribute-frac-neg
2×pow1 neg-sub0 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 190
Calls
2 calls:
30.0ms
(/ (- (* 1.0 1.0)) (+ 1.0 x))
52.0ms
(/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)

series105.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(/ (- (* 1.0 1.0)) (+ 1.0 x))
71.0ms
(/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)

simplify1.9s

Counts
196 → 196
Iterations

Useful iterations: 2 (541.0ms)

IterNodesCost
02883381
16823177
219933071
done50003071

prune530.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (- (* 1.0 1.0)) (sqrt (+ 1.0 x))) x)
0.1b
(* (/ 1 (sqrt (+ 1.0 x))) (/ (/ (- (* 1.0 1.0)) (sqrt (+ 1.0 x))) x))
0.1b
(/ (- (* 1.0 1.0)) (sqrt (+ 1.0 x)))
0.1b
(/ 1 (sqrt (+ 1.0 x)))

rewrite411.0ms

Algorithm
rewrite-expression-head
Rules
707×times-frac
414×*-un-lft-identity
367×add-sqr-sqrt
294×add-cube-cbrt
237×sqrt-prod
148×associate-*r*
57×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in associate-/l*
56×distribute-lft-out
54×add-exp-log
34×add-cbrt-cube
27×associate-*l*
24×div-exp
20×sqrt-div associate-/r/ unswap-sqr
17×associate-/r*
14×cbrt-undiv
12×prod-exp div-inv
10×flip3-+ flip-+
8×pow1
6×cbrt-unprod
5×distribute-frac-neg
4×rec-exp 1-exp add-log-exp
3×pow-flip frac-2neg div-sub clear-num
2×neg-sub0
1×frac-times sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-rgt-neg-out associate-/l/ inv-pow
Counts
4 → 560
Calls
4 calls:
44.0ms
(/ (/ (- (* 1.0 1.0)) (sqrt (+ 1.0 x))) x)
262.0ms
(* (/ 1 (sqrt (+ 1.0 x))) (/ (/ (- (* 1.0 1.0)) (sqrt (+ 1.0 x))) x))
30.0ms
(/ (- (* 1.0 1.0)) (sqrt (+ 1.0 x)))
20.0ms
(/ 1 (sqrt (+ 1.0 x)))

series428.0ms

Counts
4 → 12
Calls
4 calls:
186.0ms
(/ (/ (- (* 1.0 1.0)) (sqrt (+ 1.0 x))) x)
49.0ms
(* (/ 1 (sqrt (+ 1.0 x))) (/ (/ (- (* 1.0 1.0)) (sqrt (+ 1.0 x))) x))
96.0ms
(/ (- (* 1.0 1.0)) (sqrt (+ 1.0 x)))
97.0ms
(/ 1 (sqrt (+ 1.0 x)))

simplify1.6s

Counts
572 → 572
Iterations

Useful iterations: done (1.6s)

IterNodesCost
062311651
1175610435
done50009619

prune1.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify13.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0710
11310
21510
done1510

end0.0ms

sample1.4s

Algorithm
intervals
Results
657.0ms4154×body80valid
369.0ms1891×body640valid
149.0ms1307×body320valid
49.0ms650×body160valid