Details

Time bar (total: 22.1s)

sample65.0ms

Algorithm
intervals
Results
25.0ms68×body640valid
12.0ms44×body320valid
11.0ms120×body80valid
4.0ms24×body160valid

simplify38.0ms

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize39.0ms

Local error

Found 3 expressions with local error:

2.3b
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
0.0b
(/ 1 (+ x 1))
0.0b
(/ 1 (- x 1))

rewrite82.0ms

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:
Slowest
45.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
10.0ms
(/ 1 (+ x 1))
8.0ms
(/ 1 (- x 1))

series121.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
78.0ms
(- (/ 1 (+ x 1)) (/ 1 (- x 1)))
23.0ms
(/ 1 (- x 1))
20.0ms
(/ 1 (+ x 1))

simplify969.0ms

Counts
647 → 647

prune6.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize28.0ms

Local error

Found 3 expressions with local error:

1.0b
(- (- x 1) (+ x 1))
0.3b
(/ 1 (- (* x x) (* 1 1)))
0.0b
(- (* x x) (* 1 1))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
52×add-sqr-sqrt
38×prod-diff
30×add-cube-cbrt
17×add-log-exp
16×difference-of-squares
12×times-frac
11×associate--l+ distribute-lft-out--
9×distribute-lft-out
8×fma-neg
7×diff-log add-exp-log
5×flip3-- add-cbrt-cube difference-of-sqr-1 flip--
4×pow1 associate-/r* frac-sub
3×expm1-log1p-u sub-neg insert-posit16 log1p-expm1-u associate-/l*
2×sum-log flip3-+ div-exp associate-/r/ flip-+
1×associate--l- cbrt-undiv rec-exp clear-num frac-2neg 1-exp div-inv pow-flip associate--r+ inv-pow
Counts
3 → 133
Calls
3 calls:
Slowest
55.0ms
(- (- x 1) (+ x 1))
25.0ms
(/ 1 (- (* x x) (* 1 1)))
14.0ms
(- (* x x) (* 1 1))

series133.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
67.0ms
(- (* x x) (* 1 1))
52.0ms
(/ 1 (- (* x x) (* 1 1)))
14.0ms
(- (- x 1) (+ x 1))

simplify2.7s

Counts
142 → 142

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (- (* x x) (* 1 1)))
0.0b
(* (/ 1 (- (* x x) (* 1 1))) -2)
0.0b
(- (* x x) (* 1 1))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
26×times-frac
22×*-un-lft-identity
21×add-cube-cbrt
18×associate-*l*
16×add-exp-log
10×add-cbrt-cube
8×difference-of-squares
6×pow1
5×add-log-exp
4×associate-/r* div-exp prod-exp associate-/r/
3×expm1-log1p-u flip3-- associate-*r* insert-posit16 log1p-expm1-u flip-- associate-/l* unswap-sqr
2×cbrt-undiv rec-exp 1-exp cbrt-unprod div-inv
1×clear-num sub-neg frac-2neg fma-neg diff-log prod-diff pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
3 → 101
Calls
3 calls:
Slowest
44.0ms
(* (/ 1 (- (* x x) (* 1 1))) -2)
13.0ms
(/ 1 (- (* x x) (* 1 1)))
11.0ms
(- (* x x) (* 1 1))

series145.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
63.0ms
(- (* x x) (* 1 1))
43.0ms
(* (/ 1 (- (* x x) (* 1 1))) -2)
39.0ms
(/ 1 (- (* x x) (* 1 1)))

simplify2.5s

Counts
110 → 110

prune861.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
449×times-frac
381×*-un-lft-identity
331×add-sqr-sqrt
171×add-cube-cbrt
132×associate-*l*
74×difference-of-squares
49×distribute-lft-out
37×difference-of-sqr-1 distribute-lft-out--
36×associate-/r/
31×add-exp-log
21×associate-/l*
19×add-cbrt-cube
18×div-inv
16×flip3-+ flip-+
14×div-exp
11×associate-/r*
7×cbrt-undiv
6×pow1
5×prod-exp
4×unswap-sqr
3×expm1-log1p-u rec-exp 1-exp associate-*r* cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg flip3-- flip--
1×pow-prod-down associate-*l/ *-commutative pow-flip inv-pow associate-/l/
Counts
3 → 373
Calls
3 calls:
Slowest
56.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
17.0ms
(/ (/ 1 (+ x 1)) (- x 1))
8.0ms
(/ 1 (+ x 1))

series139.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
64.0ms
(/ (/ 1 (+ x 1)) (- x 1))
60.0ms
(* (/ (/ 1 (+ x 1)) (- x 1)) -2)
14.0ms
(/ 1 (+ x 1))

simplify1.2s

Counts
382 → 382

prune2.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes24.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
695.0ms1981×body640valid
655.0ms1222×body320valid
339.0ms4197×body80valid
118.0ms600×body160valid