Details

Time bar (total: 10.9s)

sample35.0ms

Algorithm
intervals
Results
11.0ms58×body640valid
9.0ms142×body80valid
5.0ms36×body320valid
2.0ms20×body160valid

simplify23.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.0b

localize17.0ms

Local error

Found 2 expressions with local error:

2.5b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite80.0ms

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
57.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
16.0ms
(/ 1 (+ x 1))

series66.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
51.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
15.0ms
(/ 1 (+ x 1))

simplify1.1s

Counts
77 → 77

prune400.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.4b
(/ -1 (+ x (* x x)))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
15×*-un-lft-identity times-frac
11×add-sqr-sqrt add-cube-cbrt
associate-/r*
distribute-rgt-out distribute-rgt1-in
add-cbrt-cube add-exp-log associate-/l*
associate-/r/
pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 38
Calls
1 calls:
Slowest
6.0ms
(/ -1 (+ x (* x x)))

series34.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
34.0ms
(/ -1 (+ x (* x x)))

simplify1.5s

Counts
41 → 41

prune277.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
97×times-frac
78×*-un-lft-identity
50×add-sqr-sqrt add-cube-cbrt
14×distribute-lft-out
13×associate-/l*
add-cbrt-cube add-exp-log div-inv
associate-/r*
cbrt-undiv div-exp
associate-/r/
pow1 clear-num frac-2neg flip3-+ flip-+ insert-posit16 add-log-exp associate-/l/
Counts
1 → 87
Calls
1 calls:
Slowest
20.0ms
(/ (/ -1 x) (+ 1 x))

series33.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
33.0ms
(/ (/ -1 x) (+ 1 x))

simplify932.0ms

Counts
90 → 90

prune612.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.5b
(* (/ (cbrt -1) (cbrt x)) (/ (cbrt -1) (cbrt x)))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
197×add-sqr-sqrt
193×cbrt-prod
184×times-frac
107×*-un-lft-identity add-cube-cbrt
40×swap-sqr associate-*r* associate-*l*
25×unswap-sqr
16×add-exp-log
11×pow1
add-cbrt-cube
cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp
pow1/3
pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 206
Calls
4 calls:
Slowest
33.0ms
(* (/ (cbrt -1) (cbrt x)) (/ (cbrt -1) (cbrt x)))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
301.0ms
(cbrt x)
290.0ms
(* (/ (cbrt -1) (cbrt x)) (/ (cbrt -1) (cbrt x)))
276.0ms
(cbrt x)
271.0ms
(cbrt x)

simplify1.1s

Counts
218 → 218

prune1.8s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes27.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm
intervals
Results
590.0ms1901×body640valid
383.0ms4169×body80valid
374.0ms1260×body320valid
96.0ms671×body160valid