Details

Time bar (total: 23.4s)

sample74.0ms

Algorithm
intervals
Results
31.0ms61×body640valid
14.0ms51×body320valid
13.0ms129×body80valid
3.0ms15×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: 15.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x 1))
3.1b
(- (/ 1 (+ x 1)) (/ 1 x))

rewrite78.0ms

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:
30.0ms
(/ 1 (+ x 1))
45.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

series64.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 1 (+ x 1))
41.0ms
(- (/ 1 (+ x 1)) (/ 1 x))

simplify11.4s

Counts
77 → 77
Iterations
IterNodes
43087
31334
2587
1257
0124

prune526.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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))
7.0ms
(/ -1 (+ x (* x x)))

series104.0ms

Counts
2 → 6
Calls
2 calls:
73.0ms
(+ x (* x x))
31.0ms
(/ -1 (+ x (* x x)))

simplify908.0ms

Counts
58 → 58
Iterations
IterNodes
32144
2642
1197
095

prune341.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 1 expressions with local error:

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

rewrite24.0ms

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:
22.0ms
(/ (/ -1 x) (+ 1 x))

series39.0ms

Counts
1 → 3
Calls
1 calls:
38.0ms
(/ (/ -1 x) (+ 1 x))

simplify1.3s

Counts
90 → 90
Iterations
IterNodes
32906
2883
1383
0169

prune620.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (/ (/ -1 x) (+ 1 x))) (cbrt (/ (/ -1 x) (+ 1 x))))
15.9b
(cbrt (/ (/ -1 x) (+ 1 x)))
15.9b
(cbrt (/ (/ -1 x) (+ 1 x)))
15.9b
(cbrt (/ (/ -1 x) (+ 1 x)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
728×times-frac
590×*-un-lft-identity
482×cbrt-prod
386×add-sqr-sqrt
330×add-cube-cbrt
117×distribute-lft-out
87×swap-sqr
61×associate-*r* associate-*l*
39×div-inv
16×unswap-sqr
14×associate-/r/
11×pow1
9×pow1/3
7×cbrt-div flip3-+ flip-+
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 → 451
Calls
4 calls:
33.0ms
(* (cbrt (/ (/ -1 x) (+ 1 x))) (cbrt (/ (/ -1 x) (+ 1 x))))
4.0ms
(cbrt (/ (/ -1 x) (+ 1 x)))
4.0ms
(cbrt (/ (/ -1 x) (+ 1 x)))
5.0ms
(cbrt (/ (/ -1 x) (+ 1 x)))

series354.0ms

Counts
4 → 12
Calls
4 calls:
86.0ms
(* (cbrt (/ (/ -1 x) (+ 1 x))) (cbrt (/ (/ -1 x) (+ 1 x))))
97.0ms
(cbrt (/ (/ -1 x) (+ 1 x)))
84.0ms
(cbrt (/ (/ -1 x) (+ 1 x)))
87.0ms
(cbrt (/ (/ -1 x) (+ 1 x)))

simplify1.2s

Counts
463 → 463
Iterations
IterNodes
22045
1885
0486

prune4.7s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes30.0ms

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

end1.0ms

sample1.5s

Algorithm
intervals
Results
594.0ms1951×body640valid
364.0ms4234×body80valid
338.0ms1210×body320valid
108.0ms606×body160valid