Details

Time bar (total: 20.9s)

sample57.0ms

Algorithm
intervals
Results
21.0ms61×body640valid
12.0ms137×body80valid
10.0ms39×body320valid
3.0ms19×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
313
213
19
06

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.1b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite67.0ms

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:
9.0ms
(/ 1 (+ x 1))
57.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

series51.0ms

Counts
2 → 6
Calls
2 calls:
18.0ms
(/ 1 (+ x 1))
32.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

simplify11.2s

Counts
77 → 77
Iterations
IterNodes
43087
31334
2587
1257
0124

prune564.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:
5.0ms
(+ x (* x x))
11.0ms
(/ -1 (+ x (* x x)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ x (* x x))
22.0ms
(/ -1 (+ x (* x x)))

simplify942.0ms

Counts
58 → 58
Iterations
IterNodes
32144
2642
1197
095

prune374.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

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:
11.0ms
(/ (/ -1 x) (+ 1 x))

series20.0ms

Counts
1 → 3
Calls
1 calls:
20.0ms
(/ (/ -1 x) (+ 1 x))

simplify1.7s

Counts
90 → 90
Iterations
IterNodes
32906
2883
1383
0169

prune647.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* x x))) (cbrt (+ x (* x x))))
17.5b
(cbrt (+ x (* x x)))
17.5b
(cbrt (+ x (* x x)))
17.5b
(cbrt (+ x (* x x)))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
23×add-sqr-sqrt
22×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
8×swap-sqr associate-*r* associate-*l*
7×distribute-rgt-out distribute-rgt1-in
6×add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
25.0ms
(* (cbrt (+ x (* x x))) (cbrt (+ x (* x x))))
2.0ms
(cbrt (+ x (* x x)))
2.0ms
(cbrt (+ x (* x x)))
3.0ms
(cbrt (+ x (* x x)))

series202.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (cbrt (+ x (* x x))) (cbrt (+ x (* x x))))
48.0ms
(cbrt (+ x (* x x)))
49.0ms
(cbrt (+ x (* x x)))
50.0ms
(cbrt (+ x (* x x)))

simplify2.3s

Counts
115 → 115
Iterations
IterNodes
44501
31964
2833
1308
0137

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
27
17
06

end0.0ms

sample1.5s

Algorithm
intervals
Results
598.0ms1919×body640valid
368.0ms4276×body80valid
328.0ms1193×body320valid
86.0ms614×body160valid