Details

Time bar (total: 6.6s)

sample51.0ms

Algorithm
intervals
Results
16.0ms41×body320valid
15.0ms55×body640valid
9.0ms139×body80valid
3.0ms21×body160valid

simplify21.0ms

Counts
1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.8b

localize22.0ms

Local error

Found 2 expressions with local error:

3.2b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
39×add-sqr-sqrt
36×times-frac
15×add-cube-cbrt
10×distribute-lft-out--
difference-of-squares
distribute-lft-out
add-exp-log
div-inv
associate-/r* add-cbrt-cube add-log-exp
pow1 associate-/l*
div-exp associate-/r/ insert-posit16
cbrt-undiv rec-exp clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log 1-exp frac-sub flip-+ pow-flip flip-- inv-pow
Counts
2 → 71
Calls
2 calls:
Slowest
64.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
16.0ms
(/ 1 (+ x 1))

series53.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
38.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
16.0ms
(/ 1 (+ x 1))

simplify493.0ms

Counts
101 → 77

prune541.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 3 expressions with local error:

2.9b
(- x (+ x 1))
0.0b
(/ (- x (+ x 1)) (* (+ x 1) x))
0.0b
(* (+ x 1) x)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
15×add-sqr-sqrt
10×add-cbrt-cube add-exp-log
add-log-exp
add-cube-cbrt
times-frac associate-/l* distribute-lft-out--
pow1
associate-*l* associate-*l/ distribute-lft-out
associate-*r* insert-posit16 difference-of-squares
cbrt-undiv flip3-+ flip3-- diff-log div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- associate-/l/
clear-num associate-/r* sum-log sub-neg frac-2neg div-sub pow-prod-down *-commutative div-inv associate--r+ unswap-sqr
Counts
3 → 73
Calls
3 calls:
Slowest
42.0ms
(/ (- x (+ x 1)) (* (+ x 1) x))
16.0ms
(* (+ x 1) x)
10.0ms
(- x (+ x 1))

series120.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
74.0ms
(* (+ x 1) x)
35.0ms
(/ (- x (+ x 1)) (* (+ x 1) x))
11.0ms
(- x (+ x 1))

simplify452.0ms

Counts
93 → 82

prune516.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
21×associate-/l*
16×distribute-lft-out
10×associate-/r/
add-cbrt-cube add-exp-log
associate-/r*
div-inv
flip3-+ flip-+
cbrt-undiv div-exp
pow1 clear-num frac-2neg insert-posit16 add-log-exp
associate-/l/
Counts
2 → 125
Calls
2 calls:
Slowest
14.0ms
(/ -1 (+ x 1))
14.0ms
(/ (/ -1 (+ x 1)) x)

series64.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
40.0ms
(/ (/ -1 (+ x 1)) x)
24.0ms
(/ -1 (+ x 1))

simplify585.0ms

Counts
199 → 131

prune817.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
42×*-un-lft-identity
40×times-frac
26×add-exp-log add-cube-cbrt
18×associate-*l*
16×add-cbrt-cube
13×associate-*r*
div-exp
prod-exp
distribute-lft-out
unswap-sqr
cbrt-undiv
pow1 associate-/r* associate-/r/ cbrt-unprod
div-inv associate-/l*
rec-exp flip3-+ 1-exp flip-+ insert-posit16 add-log-exp
frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative
Counts
2 → 97
Calls
2 calls:
Slowest
22.0ms
(* (/ -1 (+ x 1)) (/ 1 x))
14.0ms
(/ -1 (+ x 1))

series36.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
22.0ms
(* (/ -1 (+ x 1)) (/ 1 x))
14.0ms
(/ -1 (+ x 1))

simplify441.0ms

Counts
121 → 103

prune595.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
635.0ms1939×body640valid
337.0ms4214×body80valid
293.0ms1253×body320valid
79.0ms596×body160valid