Details

Time bar (total: 12.4s)

sample19.0ms

Algorithm
intervals
Results
5.0ms62×body640valid
3.0ms124×body80valid
3.0ms45×body320valid
1.0ms25×body160valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
199
2129
done129

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
4.2b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite105.0ms

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:
14.0ms
(/ 1.0 (+ x 1.0))
86.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series109.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1.0 (+ x 1.0))
82.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify4.2s

Counts
64 → 64
Iterations

Useful iterations: 4 (2.5s)

IterNodesCost
0120810
1267766
2622724
31474718
44770714
done5002714

prune183.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.5b
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

rewrite65.0ms

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:
37.0ms
(* (+ x 1.0) x)
26.0ms
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

series100.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (+ x 1.0) x)
39.0ms
(/ (- 0 (* 1.0 1.0)) (* (+ x 1.0) x))

simplify1.6s

Counts
56 → 56
Iterations

Useful iterations: 2 (292.0ms)

IterNodesCost
0108700
1282629
2984531
done5001531

prune132.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (+ x 1.0))
0.1b
(* (/ 1 (+ x 1.0)) (/ (- (* 1.0 1.0)) x))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
49×times-frac
46×add-sqr-sqrt
45×*-un-lft-identity
29×add-cube-cbrt
28×add-exp-log
22×associate-*r*
18×associate-*l*
16×add-cbrt-cube
10×div-exp
8×prod-exp
7×distribute-lft-out
6×unswap-sqr
5×pow1 cbrt-undiv
4×associate-/r* associate-/r/ cbrt-unprod
3×distribute-lft-neg-in neg-mul-1 rec-exp distribute-rgt-neg-in 1-exp div-inv associate-/l*
2×flip3-+ flip-+ add-log-exp
1×frac-times pow-flip frac-2neg associate-*r/ distribute-frac-neg pow-prod-down associate-*l/ clear-num *-commutative distribute-rgt-neg-out inv-pow
Counts
2 → 108
Calls
2 calls:
25.0ms
(/ 1 (+ x 1.0))
67.0ms
(* (/ 1 (+ x 1.0)) (/ (- (* 1.0 1.0)) x))

series93.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(/ 1 (+ x 1.0))
51.0ms
(* (/ 1 (+ x 1.0)) (/ (- (* 1.0 1.0)) x))

simplify1.8s

Counts
114 → 114
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01891592
15281374
217321194
done50001192

prune244.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ x 1.0))
0.1b
(* (cbrt (pow (/ 1 (+ x 1.0)) 3)) (/ (- (* 1.0 1.0)) x))
0.2b
(pow (/ 1 (+ x 1.0)) 3)
20.1b
(cbrt (pow (/ 1 (+ x 1.0)) 3))

rewrite216.0ms

Algorithm
rewrite-expression-head
Rules
123×*-un-lft-identity
122×add-sqr-sqrt
119×times-frac
100×cbrt-prod
75×add-cube-cbrt
60×unpow-prod-down cube-prod
45×associate-*l*
22×associate-*r* distribute-lft-out
18×add-exp-log unswap-sqr
14×associate-/r/
12×add-cbrt-cube
9×pow1
8×div-inv
7×flip3-+ flip-+
5×div-exp sqr-pow
4×cube-div pow-exp associate-/r* add-log-exp
3×cbrt-undiv distribute-lft-neg-in cube-mult neg-mul-1 pow-unpow cbrt-div pow-pow distribute-rgt-neg-in unpow3 associate-/l*
2×rec-exp pow-flip 1-exp prod-exp cbrt-unprod inv-pow rem-cube-cbrt
1×frac-times pow-to-exp frac-2neg pow1/3 associate-*r/ distribute-frac-neg pow-prod-down associate-*l/ clear-num *-commutative distribute-rgt-neg-out rem-cbrt-cube
Counts
4 → 251
Calls
4 calls:
13.0ms
(/ 1 (+ x 1.0))
137.0ms
(* (cbrt (pow (/ 1 (+ x 1.0)) 3)) (/ (- (* 1.0 1.0)) x))
24.0ms
(pow (/ 1 (+ x 1.0)) 3)
27.0ms
(cbrt (pow (/ 1 (+ x 1.0)) 3))

series166.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ 1 (+ x 1.0))
42.0ms
(* (cbrt (pow (/ 1 (+ x 1.0)) 3)) (/ (- (* 1.0 1.0)) x))
55.0ms
(pow (/ 1 (+ x 1.0)) 3)
39.0ms
(cbrt (pow (/ 1 (+ x 1.0)) 3))

simplify1.9s

Counts
263 → 263
Iterations

Useful iterations: 2 (865.0ms)

IterNodesCost
02874309
17273267
226132943
done50002943

prune548.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes28.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify17.0ms

Iterations

Useful iterations: 4 (14.0ms)

IterNodesCost
0912
11812
22212
32512
42811
done2811

end0.0ms

sample714.0ms

Algorithm
intervals
Results
232.0ms1948×body640valid
135.0ms4209×body80valid
105.0ms1217×body320valid
36.0ms626×body160valid