Details

Time bar (total: 2.4s)

sample16.0ms

Algorithm
intervals
Results
4.0ms54×body640valid
3.0ms136×body80valid
2.0ms47×body320valid
1.0ms19×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
094
1124
2124
done124

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.4b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
1.6b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
28×times-frac
27×add-sqr-sqrt
15×add-cube-cbrt
8×distribute-lft-out--
7×distribute-lft-out
4×add-exp-log associate-/r* add-cbrt-cube add-log-exp difference-of-squares
3×div-inv associate-/l*
2×pow1 associate-/r/
1×cbrt-undiv sub-neg flip3-- frac-2neg flip3-+ diff-log div-exp clear-num frac-sub flip-- flip-+
Counts
2 → 58
Calls
2 calls:
13.0ms
(/ 1.0 (+ x 1.0))
60.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series82.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ 1.0 (+ x 1.0))
54.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify147.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0266392
1898369
24185367
35001367
done5001367

prune111.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.0b
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
1.2b
(- x (+ x 1.0))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
12×*-un-lft-identity
9×add-sqr-sqrt
8×add-log-exp
5×pow1 add-cube-cbrt prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*l* associate-*l/
3×associate-*r*
2×flip3-- flip3-+ diff-log associate-*r/ associate-/r/ flip-- flip-+ associate-/l/ distribute-lft-out distribute-lft-out--
1×sub-neg frac-2neg times-frac pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv associate-/l* associate--r+ difference-of-squares unswap-sqr
Counts
3 → 63
Calls
3 calls:
19.0ms
(* (+ x 1.0) x)
35.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
14.0ms
(- x (+ x 1.0))

series86.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(* (+ x 1.0) x)
37.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms
(- x (+ x 1.0))

simplify53.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
0345395
12045325
25003316
done5003316

prune111.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
0.1b
(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
48×*-un-lft-identity
46×add-sqr-sqrt
43×times-frac
28×add-cube-cbrt
19×associate-*r*
18×associate-*l*
16×add-exp-log add-cbrt-cube
7×distribute-lft-out
5×cbrt-undiv div-exp
4×pow1 prod-exp associate-/r* associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l* distribute-lft-out-- difference-of-squares
2×flip3-+ flip-+ add-log-exp
1×frac-times frac-2neg sub0-neg associate-*r/ distribute-frac-neg pow-prod-down associate-*l/ clear-num *-commutative distribute-rgt-neg-out
Counts
2 → 95
Calls
2 calls:
11.0ms
(/ 1.0 (+ x 1.0))
52.0ms
(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

series65.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ 1.0 (+ x 1.0))
36.0ms
(* (/ 1.0 (+ x 1.0)) (/ (- 0 1.0) x))

simplify55.0ms

Counts
101 → 101
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0491665
12424595
25002595
done5002595

prune170.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(cbrt (+ x 1.0))
0.3b
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
4.0ms
(cbrt (+ x 1.0))
39.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series363.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(cbrt (+ x 1.0))
86.0ms
(cbrt (+ x 1.0))
88.0ms
(cbrt (+ x 1.0))
101.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify145.0ms

Counts
107 → 107
Iterations

Useful iterations: 3 (137.0ms)

IterNodesCost
0306792
11002747
24420669
35003665
done5003665

prune261.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115
1135
2175
3205
4215
5215
done215

end0.0ms

sample433.0ms

Algorithm
intervals
Results
136.0ms1924×body640valid
83.0ms4172×body80valid
70.0ms1283×body320valid
22.0ms621×body160valid