Details

Time bar (total: 14.3s)

sample34.0ms

Algorithm
intervals
Results
13.0ms68×body640valid
7.0ms121×body80valid
6.0ms44×body320valid
2.0ms23×body160valid

simplify31.0ms

Counts
1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.3b

localize10.0ms

Local error

Found 2 expressions with local error:

2.4b
(- (/ 1 (+ x 1)) (/ 1 x))
0.0b
(/ 1 (+ x 1))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
39×add-sqr-sqrt
36×times-frac
15×add-cube-cbrt
10×distribute-lft-out--
9×difference-of-squares
7×distribute-lft-out
6×add-exp-log
5×div-inv
4×associate-/r* add-cbrt-cube add-log-exp
3×pow1 associate-/l*
2×div-exp associate-/r/ insert-posit16
1×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
49.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
8.0ms
(/ 1 (+ x 1))

series75.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
50.0ms
(- (/ 1 (+ x 1)) (/ 1 x))
24.0ms
(/ 1 (+ x 1))

simplify1.2s

Counts
77 → 77

prune506.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
15×times-frac
12×add-sqr-sqrt add-cube-cbrt
5×associate-/r* distribute-rgt-out distribute-rgt1-in
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-+ associate-/r/ flip-+ insert-posit16
1×cbrt-undiv +-commutative clear-num sum-log frac-2neg div-exp div-inv
Counts
2 → 52
Calls
2 calls:
Slowest
13.0ms
(/ -1 (+ x (* x x)))
9.0ms
(+ x (* x x))

series85.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
63.0ms
(+ x (* x x))
22.0ms
(/ -1 (+ x (* x x)))

simplify4.2s

Counts
58 → 58

prune373.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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*
6×add-cbrt-cube add-exp-log div-inv
4×associate-/r*
3×cbrt-undiv div-exp
2×associate-/r/
1×pow1 clear-num frac-2neg flip3-+ flip-+ insert-posit16 add-log-exp associate-/l/
Counts
1 → 87
Calls
1 calls:
Slowest
16.0ms
(/ (/ -1 x) (+ 1 x))

series33.0ms

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

simplify1.3s

Counts
90 → 90

prune577.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ 1 x))
0.3b
(cbrt (+ 1 x))
0.3b
(cbrt (+ 1 x))
0.3b
(* (/ (cbrt -1) (cbrt (+ 1 x))) (/ (cbrt -1) (cbrt (+ 1 x))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
268×cbrt-prod
232×times-frac
213×add-sqr-sqrt *-un-lft-identity
123×add-cube-cbrt
60×swap-sqr
48×associate-*r* associate-*l*
39×distribute-lft-out
25×unswap-sqr
16×add-exp-log
14×cbrt-div
11×pow1
8×add-cbrt-cube associate-/r/
7×flip3-+ flip-+
4×cbrt-undiv div-exp prod-exp cbrt-unprod insert-posit16 div-inv add-log-exp
3×pow1/3
1×pow2 frac-times pow-plus pow-prod-down associate-*l/ associate-*r/ pow-sqr *-commutative pow-prod-up
Counts
4 → 251
Calls
4 calls:
Slowest
65.0ms
(* (/ (cbrt -1) (cbrt (+ 1 x))) (/ (cbrt -1) (cbrt (+ 1 x))))
2.0ms
(cbrt (+ 1 x))
2.0ms
(cbrt (+ 1 x))
2.0ms
(cbrt (+ 1 x))

series290.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
122.0ms
(* (/ (cbrt -1) (cbrt (+ 1 x))) (/ (cbrt -1) (cbrt (+ 1 x))))
63.0ms
(cbrt (+ 1 x))
60.0ms
(cbrt (+ 1 x))
45.0ms
(cbrt (+ 1 x))

simplify1.7s

Counts
263 → 263

prune2.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
587.0ms1983×body640valid
324.0ms4194×body80valid
277.0ms1223×body320valid
76.0ms600×body160valid