Details

Time bar (total: 4.9s)

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
275
done75

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ x (- 1.0 x))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt *-un-lft-identity
15×times-frac
11×add-cube-cbrt
5×associate-/r*
4×distribute-lft-out-- difference-of-squares
3×add-exp-log add-cbrt-cube associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-- div-inv add-log-exp
Counts
1 → 37
Calls
1 calls:
12.0ms
(/ x (- 1.0 x))

series53.0ms

Counts
1 → 3
Calls
1 calls:
53.0ms
(/ x (- 1.0 x))

simplify2.0s

Counts
40 → 40
Iterations

Useful iterations: 3 (919.0ms)

IterNodesCost
082424
1177403
2662377
33575373
done5002373

prune80.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
37×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp prod-exp associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-- 1-exp flip-- cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 85
Calls
2 calls:
13.0ms
(/ 1 (- 1.0 x))
59.0ms
(* x (/ 1 (- 1.0 x)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ 1 (- 1.0 x))
50.0ms
(* x (/ 1 (- 1.0 x)))

simplify914.0ms

Counts
91 → 91
Iterations

Useful iterations: done (911.0ms)

IterNodesCost
0128935
1327788
21408663
done5000661

prune179.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.1b
(* x (* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))
0.5b
(/ 1 (- (* 1.0 1.0) (* x x)))
12.6b
(* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

rewrite225.0ms

Algorithm
rewrite-expression-head
Rules
31×add-exp-log
29×add-sqr-sqrt
26×times-frac
25×*-un-lft-identity
22×add-cube-cbrt
21×associate-*l*
19×add-cbrt-cube
13×prod-exp
11×pow1
9×associate-*r/
7×cbrt-unprod difference-of-squares
6×div-exp
5×distribute-rgt-in distribute-lft-in associate-*r*
4×frac-times flip3-+ pow-prod-down associate-/r* associate-/r/ flip-+
3×cbrt-undiv rec-exp 1-exp associate-/l* add-log-exp unswap-sqr
2×flip3-- associate-*l/ *-commutative flip-- div-inv
1×pow-flip frac-2neg clear-num distribute-lft-out inv-pow
Counts
3 → 115
Calls
3 calls:
98.0ms
(* x (* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))
28.0ms
(/ 1 (- (* 1.0 1.0) (* x x)))
94.0ms
(* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

series197.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(* x (* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x)))
65.0ms
(/ 1 (- (* 1.0 1.0) (* x x)))
46.0ms
(* (/ 1 (- (* 1.0 1.0) (* x x))) (+ 1.0 x))

simplify464.0ms

Counts
124 → 124
Iterations

Useful iterations: done (459.0ms)

IterNodesCost
01992153
16731994
done50001622

prune218.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
done45

end0.0ms

sample389.0ms

Algorithm
intervals
Results
200.0ms8000×body80valid