Details

Time bar (total: 1.3m)

sample34.0ms

Algorithm
intervals
Results
12.0ms61×body640valid
7.0ms50×body320valid
7.0ms129×body80valid
2.0ms16×body160valid

simplify9.0ms

Counts
1 → 1
Iterations
IterNodes
316
216
113
07

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1 (- x 1))
0.0b
(/ 1 (+ x 1))
3.1b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

rewrite113.0ms

Algorithm
rewrite-expression-head
Rules
850×*-un-lft-identity
783×times-frac
710×add-sqr-sqrt
486×prod-diff
454×add-cube-cbrt
125×difference-of-squares
98×associate-/r/
94×distribute-lft-out
81×distribute-lft-out--
58×difference-of-sqr-1
52×div-inv
30×flip-+
29×flip3-+
21×flip--
20×flip3--
18×fma-neg
11×associate-/r* add-exp-log
7×add-cbrt-cube
6×associate-/l*
5×pow1 add-log-exp
4×div-exp
3×expm1-log1p-u insert-posit16 log1p-expm1-u
2×cbrt-undiv rec-exp clear-num frac-2neg 1-exp pow-flip inv-pow
1×sub-neg diff-log frac-sub
Counts
3 → 638
Calls
3 calls:
15.0ms
(/ 1 (- x 1))
11.0ms
(/ 1 (+ x 1))
61.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

series131.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(/ 1 (- x 1))
22.0ms
(/ 1 (+ x 1))
88.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))

simplify3.2s

Counts
647 → 647
Iterations
IterNodes
22264
11263
0553

prune6.7s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (- (* x x) (* 1 1)))
2.4b
(- (- x 1) (+ x 1))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
70×*-un-lft-identity
51×add-sqr-sqrt
37×prod-diff
29×add-cube-cbrt
15×difference-of-squares
14×add-log-exp
12×times-frac
11×associate--l+ distribute-lft-out--
9×distribute-lft-out
7×fma-neg
6×diff-log add-exp-log
5×difference-of-sqr-1
4×associate-/r* flip3-- add-cbrt-cube frac-sub flip--
3×pow1 associate-/l*
2×expm1-log1p-u sum-log sub-neg flip3-+ div-exp associate-/r/ flip-+ insert-posit16 log1p-expm1-u
1×associate--l- cbrt-undiv rec-exp clear-num frac-2neg 1-exp div-inv pow-flip associate--r+ inv-pow
Counts
2 → 115
Calls
2 calls:
20.0ms
(/ 1 (- (* x x) (* 1 1)))
56.0ms
(- (- x 1) (+ x 1))

series52.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(/ 1 (- (* x x) (* 1 1)))
11.0ms
(- (- x 1) (+ x 1))

simplify13.5s

Counts
121 → 121
Iterations
IterNodes
34475
21401
1482
0193

prune1.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (/ 1 (- (* x x) (* 1 1))) -2)
0.1b
(/ 1 (- (* x x) (* 1 1)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
26×times-frac
21×*-un-lft-identity
20×add-cube-cbrt
18×associate-*l*
15×add-exp-log
9×add-cbrt-cube
7×difference-of-squares
5×pow1
4×associate-/r* div-exp prod-exp associate-/r/
3×associate-*r* associate-/l* unswap-sqr
2×expm1-log1p-u cbrt-undiv rec-exp flip3-- 1-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
2 → 83
Calls
2 calls:
57.0ms
(* (/ 1 (- (* x x) (* 1 1))) -2)
19.0ms
(/ 1 (- (* x x) (* 1 1)))

series92.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(* (/ 1 (- (* x x) (* 1 1))) -2)
52.0ms
(/ 1 (- (* x x) (* 1 1)))

simplify9.5s

Counts
89 → 89
Iterations
IterNodes
44478
31738
2798
1348
0143

prune685.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ -2 (+ -1 x))
0.0b
(/ 1 (+ x 1))
0.2b
(* (/ 1 (+ x 1)) (/ -2 (+ -1 x)))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
55×times-frac
54×add-sqr-sqrt
37×add-cube-cbrt
31×add-exp-log
19×add-cbrt-cube
18×associate-*r* associate-*l*
14×distribute-lft-out
11×div-exp
8×associate-/r* prod-exp associate-/r/
6×pow1 cbrt-undiv associate-/l* unswap-sqr
4×flip3-+ cbrt-unprod flip-+ div-inv
3×expm1-log1p-u rec-exp 1-exp insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative pow-flip inv-pow
Counts
3 → 145
Calls
3 calls:
7.0ms
(/ -2 (+ -1 x))
8.0ms
(/ 1 (+ x 1))
60.0ms
(* (/ 1 (+ x 1)) (/ -2 (+ -1 x)))

series93.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(/ -2 (+ -1 x))
16.0ms
(/ 1 (+ x 1))
59.0ms
(* (/ 1 (+ x 1)) (/ -2 (+ -1 x)))

simplify40.0s

Counts
154 → 154
Iterations
IterNodes
35629
21845
1591
0212

prune694.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
29
19
08

end0.0ms

sample1.1s

Algorithm
intervals
Results
409.0ms1948×body640valid
291.0ms4232×body80valid
205.0ms1212×body320valid
76.0ms608×body160valid