Details

Time bar (total: 4.7s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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))

rewrite7.0ms

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 expm1-log1p-u flip3-- frac-2neg div-exp clear-num flip-- log1p-expm1-u div-inv add-log-exp
Counts
1 → 39
Calls
1 calls:
5.0ms
(/ x (- 1.0 x))

series34.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(/ x (- 1.0 x))

simplify1.8s

Counts
42 → 42
Iterations

Useful iterations: done (1.8s)

IterNodesCost
084436
1180410
2622387
32986384
done5000383

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
14.8b
(/ x (- (* 1.0 1.0) (* x x)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt times-frac
22×*-un-lft-identity
20×add-cube-cbrt
18×associate-*l*
9×add-exp-log add-cbrt-cube
7×difference-of-squares
4×pow1 associate-*r* associate-/r* associate-/r/
3×associate-/l*
2×cbrt-undiv expm1-log1p-u frac-times flip3-- flip3-+ associate-*r/ div-exp prod-exp flip-- cbrt-unprod flip-+ log1p-expm1-u div-inv add-log-exp unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out
Counts
2 → 81
Calls
2 calls:
25.0ms
(* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
5.0ms
(/ x (- (* 1.0 1.0) (* x x)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* (/ x (- (* 1.0 1.0) (* x x))) (+ 1.0 x))
58.0ms
(/ x (- (* 1.0 1.0) (* x x)))

simplify858.0ms

Counts
87 → 87
Iterations

Useful iterations: done (855.0ms)

IterNodesCost
01581419
15291370
223391235
done50001233

prune162.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (/ x (- (* 1.0 1.0) (* x x)))) (* x (/ x (- (* 1.0 1.0) (* x x)))))
0.1b
(* x (/ x (- (* 1.0 1.0) (* x x))))
14.8b
(/ x (- (* 1.0 1.0) (* x x)))
14.8b
(/ x (- (* 1.0 1.0) (* x x)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
37×times-frac
36×add-sqr-sqrt
31×add-cube-cbrt *-un-lft-identity
18×associate-*r*
13×add-exp-log add-cbrt-cube
11×difference-of-squares
8×associate-/r*
6×pow1 associate-/r/ associate-/l* add-log-exp
4×expm1-log1p-u log1p-expm1-u
3×cbrt-undiv flip3-- associate-*r/ div-exp associate-*l* flip-- div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×+-commutative distribute-rgt-out fma-def flip3-+ pow-prod-down frac-add sum-log *-commutative flip-+
Counts
4 → 125
Calls
4 calls:
6.0ms
(+ (* 1.0 (/ x (- (* 1.0 1.0) (* x x)))) (* x (/ x (- (* 1.0 1.0) (* x x)))))
15.0ms
(* x (/ x (- (* 1.0 1.0) (* x x))))
5.0ms
(/ x (- (* 1.0 1.0) (* x x)))
7.0ms
(/ x (- (* 1.0 1.0) (* x x)))

series234.0ms

Counts
4 → 12
Calls
4 calls:
59.0ms
(+ (* 1.0 (/ x (- (* 1.0 1.0) (* x x)))) (* x (/ x (- (* 1.0 1.0) (* x x)))))
56.0ms
(* x (/ x (- (* 1.0 1.0) (* x x))))
59.0ms
(/ x (- (* 1.0 1.0) (* x x)))
60.0ms
(/ x (- (* 1.0 1.0) (* x x)))

simplify848.0ms

Counts
137 → 137
Iterations

Useful iterations: done (844.0ms)

IterNodesCost
01712356
14692076
222111867
done50011863

prune280.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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

sample209.0ms

Algorithm
intervals
Results
116.0ms8000×body80valid