Details

Time bar (total: 20.0s)

sample52.0ms

Algorithm
intervals
Results
19.0ms58×body640valid
11.0ms137×body80valid
9.0ms38×body320valid
4.0ms23×body160valid

simplify19.0ms

Counts
1 → 1
Iterations
IterNodes
313
213
19
06

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.2b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x 1))
2.8b
(- (/ 1 (+ x 1)) (/ 1 x))

rewrite46.0ms

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:
13.0ms
(/ 1 (+ x 1))
31.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

series59.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ 1 (+ x 1))
45.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

simplify10.5s

Counts
77 → 77
Iterations
IterNodes
43087
31334
2587
1257
0124

prune363.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite23.0ms

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:
10.0ms
(+ x (* x x))
13.0ms
(/ -1 (+ x (* x x)))

series88.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(+ x (* x x))
29.0ms
(/ -1 (+ x (* x x)))

simplify771.0ms

Counts
58 → 58
Iterations
IterNodes
32144
2642
1197
095

prune318.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite27.0ms

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/
9×add-cbrt-cube add-exp-log
7×associate-/r*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg insert-posit16 add-log-exp
1×associate-/l/
Counts
2 → 125
Calls
2 calls:
7.0ms
(/ -1 (+ x 1))
18.0ms
(/ (/ -1 (+ x 1)) x)

series40.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(/ -1 (+ x 1))
26.0ms
(/ (/ -1 (+ x 1)) x)

simplify1.8s

Counts
131 → 131
Iterations
IterNodes
33339
21069
1444
0199

prune680.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
150×cbrt-prod
128×*-un-lft-identity
102×times-frac
92×add-sqr-sqrt
68×add-cube-cbrt
27×swap-sqr distribute-lft-out
21×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-+ flip-+ div-inv
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 184
Calls
4 calls:
46.0ms
(* (cbrt (/ -1 (+ x 1))) (cbrt (/ -1 (+ x 1))))
7.0ms
(cbrt (/ -1 (+ x 1)))
6.0ms
(cbrt (/ -1 (+ x 1)))
6.0ms
(cbrt (/ -1 (+ x 1)))

series356.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(* (cbrt (/ -1 (+ x 1))) (cbrt (/ -1 (+ x 1))))
82.0ms
(cbrt (/ -1 (+ x 1)))
79.0ms
(cbrt (/ -1 (+ x 1)))
111.0ms
(cbrt (/ -1 (+ x 1)))

simplify1.6s

Counts
196 → 196
Iterations
IterNodes
32723
21090
1437
0218

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes35.0ms

Accuracy

0% (0.1b 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

sample1.8s

Algorithm
intervals
Results
614.0ms1899×body640valid
489.0ms632×body160valid
309.0ms4237×body80valid
225.0ms1234×body320valid