Details

Time bar (total: 8.4s)

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
50.0ms
(/ (+ x 1.0) (- 1.0 x))

series40.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(/ (+ x 1.0) (- 1.0 x))

simplify750.0ms

Counts
50 → 50
Iterations

Useful iterations: done (747.0ms)

IterNodesCost
093646
1221616
2874584
done5000575

prune465.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- 1.0 x) (+ x 1.0))
0.0b
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×expm1-log1p-u rec-exp frac-2neg 1-exp clear-num log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 178
Calls
2 calls:
37.0ms
(/ (- 1.0 x) (+ x 1.0))
27.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (- 1.0 x) (+ x 1.0))
37.0ms
(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify1.9s

Counts
184 → 184
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02323076
16222624
236552518
done50022457

prune235.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- 1.0 x))
0.1b
(* (/ 1 (- 1.0 x)) (+ x 1.0))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*l*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*r* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*r/ flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out inv-pow
Counts
2 → 95
Calls
2 calls:
12.0ms
(/ 1 (- 1.0 x))
48.0ms
(* (/ 1 (- 1.0 x)) (+ x 1.0))

series88.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 1 (- 1.0 x))
44.0ms
(* (/ 1 (- 1.0 x)) (+ x 1.0))

simplify2.7s

Counts
101 → 101
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01581150
15301031
24091871
done5001867

prune166.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ 1.0 x) (- x 1.0))
0.0b
(* (- 1.0 x) (- x 1.0))
15.2b
(/ (* (+ 1.0 x) (- x 1.0)) (* (- 1.0 x) (- x 1.0)))

rewrite174.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
39×*-un-lft-identity
36×prod-diff
31×add-cube-cbrt
22×distribute-rgt-in distribute-lft-in
19×add-exp-log add-cbrt-cube
18×flip3-- flip--
16×frac-times
10×associate-*r*
9×associate-*l*
8×associate-*r/ associate-*l/ associate-/r/ associate-/l/
7×pow1
6×flip3-+ prod-exp cbrt-unprod flip-+
4×cbrt-undiv sub-neg div-exp
3×expm1-log1p-u log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×pow-prod-down *-commutative unswap-sqr
1×frac-2neg times-frac clear-num associate-/r* div-inv distribute-lft-out associate-/l*
Counts
3 → 146
Calls
3 calls:
39.0ms
(* (+ 1.0 x) (- x 1.0))
68.0ms
(* (- 1.0 x) (- x 1.0))
61.0ms
(/ (* (+ 1.0 x) (- x 1.0)) (* (- 1.0 x) (- x 1.0)))

series148.0ms

Counts
3 → 9
Calls
3 calls:
85.0ms
(* (+ 1.0 x) (- x 1.0))
28.0ms
(* (- 1.0 x) (- x 1.0))
34.0ms
(/ (* (+ 1.0 x) (- x 1.0)) (* (- 1.0 x) (- x 1.0)))

simplify484.0ms

Counts
155 → 155
Iterations

Useful iterations: done (479.0ms)

IterNodesCost
02452932
18312422
done50001996

prune421.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes14.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1109
done109

end0.0ms

sample408.0ms

Algorithm
intervals
Results
226.0ms8000×body80valid