Details

Time bar (total: 4.8s)

sample15.0ms

Algorithm
intervals
Results
4.0ms66×body640valid
3.0ms135×body80valid
2.0ms35×body320valid
1.0ms20×body160valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
069
199
2129
done129

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
2.3b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite48.0ms

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:
5.0ms
(/ 1.0 (+ x 1.0))
40.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series86.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ 1.0 (+ x 1.0))
60.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify926.0ms

Counts
64 → 64
Iterations

Useful iterations: 3 (332.0ms)

IterNodesCost
0120810
1266766
2638722
31703718
done5001718

prune117.0ms

Pruning

3 alts after pruning (3 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))
1.9b
(- x (+ x 1.0))

rewrite36.0ms

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:
9.0ms
(* (+ x 1.0) x)
17.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
7.0ms
(- x (+ x 1.0))

series88.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* (+ x 1.0) x)
35.0ms
(/ (* 1.0 (- x (+ x 1.0))) (* (+ x 1.0) x))
8.0ms
(- x (+ x 1.0))

simplify578.0ms

Counts
72 → 72
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
0119903
1344743
21674591
done5000591

prune117.0ms

Pruning

4 alts after pruning (4 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)) (- 1.0)) x)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
15×times-frac
13×add-exp-log add-sqr-sqrt add-cube-cbrt add-cbrt-cube
7×associate-/r*
5×cbrt-undiv div-exp
4×distribute-lft-out associate-/l*
2×pow1 frac-2neg prod-exp clear-num associate-/r/ cbrt-unprod div-inv add-log-exp
1×flip3-+ distribute-frac-neg associate-*l/ distribute-rgt-neg-out flip-+ associate-/l/
Counts
2 → 58
Calls
2 calls:
5.0ms
(/ 1.0 (+ x 1.0))
8.0ms
(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

series63.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ 1.0 (+ x 1.0))
37.0ms
(/ (* (/ 1.0 (+ x 1.0)) (- 1.0)) x)

simplify594.0ms

Counts
64 → 64
Iterations

Useful iterations: 2 (184.0ms)

IterNodesCost
0126793
1320736
21173638
done5000638

prune115.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize13.0ms

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)))

rewrite30.0ms

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:
2.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt (+ x 1.0))
2.0ms
(cbrt (+ x 1.0))
20.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

series375.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (+ x 1.0))
88.0ms
(cbrt (+ x 1.0))
90.0ms
(cbrt (+ x 1.0))
108.0ms
(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))

simplify919.0ms

Counts
107 → 107
Iterations

Useful iterations: 3 (340.0ms)

IterNodesCost
01391485
13081358
28061288
322541148
done50011148

prune268.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes21.0ms

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
11110
21610
31810
done1810

end0.0ms

sample378.0ms

Algorithm
intervals
Results
132.0ms1911×body640valid
76.0ms4226×body80valid
63.0ms1264×body320valid
24.0ms600×body160valid