Details

Time bar (total: 7.9s)

sample18.0ms

Algorithm
intervals
Results
5.0ms66×body640valid
3.0ms135×body80valid
2.0ms40×body320valid
1.0ms15×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2129
done129

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite73.0ms

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:
10.0ms
(/ 1.0 (+ x 1.0))
59.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series80.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (+ x 1.0))
55.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify2.3s

Counts
64 → 64
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
0120810
1267766
2622724
31474718
44770714
done5002714

prune106.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.3b
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
4×pow1 times-frac associate-*l* associate-*l/ associate-/l*
3×associate-*r*
2×cbrt-undiv flip3-+ div-exp prod-exp associate-/r/ cbrt-unprod flip-+ associate-/l/ add-log-exp difference-of-squares
1×flip3-- frac-2neg sub0-neg div-sub distribute-frac-neg pow-prod-down clear-num associate-/r* *-commutative flip-- div-inv distribute-lft-out unswap-sqr
Counts
2 → 50
Calls
2 calls:
19.0ms
(* (+ x 1.0) x)
21.0ms
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

series82.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(* (+ x 1.0) x)
36.0ms
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

simplify1.0s

Counts
56 → 56
Iterations

Useful iterations: 2 (170.0ms)

IterNodesCost
0108700
1282629
2984531
done5001531

prune106.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
210×times-frac
151×*-un-lft-identity
89×add-sqr-sqrt add-cube-cbrt
36×associate-/l*
31×distribute-lft-out
21×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
10×associate-/r/
9×add-exp-log add-cbrt-cube
7×associate-/r*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv div-exp
3×div-sub distribute-frac-neg
2×pow1 neg-sub0 frac-2neg clear-num add-log-exp
1×associate-/l/
Counts
2 → 190
Calls
2 calls:
13.0ms
(/ (- (* 1.0 1.0)) (+ 1.0 x))
24.0ms
(/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)

series65.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- (* 1.0 1.0)) (+ 1.0 x))
40.0ms
(/ (/ (- (* 1.0 1.0)) (+ 1.0 x)) x)

simplify1.2s

Counts
196 → 196
Iterations

Useful iterations: 2 (366.0ms)

IterNodesCost
02883381
16823177
219933071
done50003071

prune354.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (+ 1.0 x))
0.2b
(cbrt (+ 1.0 x))
0.2b
(cbrt (+ 1.0 x))
0.2b
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

rewrite50.0ms

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 (+ 1.0 x))
4.0ms
(cbrt (+ 1.0 x))
4.0ms
(cbrt (+ 1.0 x))
35.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

series370.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(cbrt (+ 1.0 x))
89.0ms
(cbrt (+ 1.0 x))
88.0ms
(cbrt (+ 1.0 x))
110.0ms
(* (cbrt (+ 1.0 x)) (cbrt (+ 1.0 x)))

simplify1.2s

Counts
107 → 107
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01391485
13081358
27681288
318891148
done50011116

prune278.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes18.0ms

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
0710
11310
21510
done1510

end0.0ms

sample470.0ms

Algorithm
intervals
Results
148.0ms1862×body640valid
91.0ms4266×body80valid
80.0ms1223×body320valid
26.0ms650×body160valid