Details

Time bar (total: 7.1s)

sample13.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations
IterNodes
done9
29
18
05

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-cbrt-cube add-exp-log
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ flip3-- div-exp flip-+ div-inv flip-- add-log-exp
Counts
1 → 45
Calls
1 calls:
28.0ms
(/ (+ 1.0 x) (- 1.0 x))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (+ 1.0 x) (- 1.0 x))

simplify523.0ms

Counts
48 → 48
Iterations
IterNodes
done5001
2810
1208
089

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*l*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*r* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×frac-times cbrt-undiv rec-exp flip3-+ flip3-- 1-exp associate-*r/ cbrt-unprod flip-+ div-inv flip-- add-log-exp
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down associate-*l/ *-commutative pow-flip distribute-lft-out inv-pow
Counts
2 → 91
Calls
2 calls:
15.0ms
(/ 1 (- 1.0 x))
43.0ms
(* (/ 1 (- 1.0 x)) (+ 1.0 x))

series62.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(/ 1 (- 1.0 x))
35.0ms
(* (/ 1 (- 1.0 x)) (+ 1.0 x))

simplify2.2s

Counts
97 → 97
Iterations
IterNodes
done5002
23990
1498
0148

prune236.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* 1.0 x))
0.1b
(/ 1 (- (pow 1.0 3) (pow x 3)))
0.1b
(* (* (/ 1 (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (+ 1.0 x))
23.5b
(* (/ 1 (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

rewrite506.0ms

Algorithm
rewrite-expression-head
Rules
240×add-sqr-sqrt
152×times-frac
138×*-un-lft-identity
112×difference-of-squares
84×unpow-prod-down cube-prod
82×associate-*l*
65×add-cube-cbrt
56×sqr-pow
35×distribute-lft-out--
32×add-exp-log
25×associate-/r*
20×add-cbrt-cube
18×frac-times
15×flip3-+ flip-+
13×prod-exp
12×pow1
10×associate-*r/
9×associate-*l/
7×difference-cubes associate-*r* cbrt-unprod
6×div-exp add-log-exp
4×pow-prod-down associate-/r/
3×cbrt-undiv rec-exp 1-exp associate-/l* unswap-sqr
2×distribute-rgt-in distribute-lft-in flip3-- *-commutative div-inv flip--
1×+-commutative clear-num sum-log frac-2neg distribute-rgt-out pow-flip distribute-lft-out inv-pow
Counts
4 → 284
Calls
4 calls:
12.0ms
(+ (* x x) (* 1.0 x))
66.0ms
(/ 1 (- (pow 1.0 3) (pow x 3)))
250.0ms
(* (* (/ 1 (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (+ 1.0 x))
144.0ms
(* (/ 1 (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

series360.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(+ (* x x) (* 1.0 x))
106.0ms
(/ 1 (- (pow 1.0 3) (pow x 3)))
89.0ms
(* (* (/ 1 (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x)))) (+ 1.0 x))
77.0ms
(* (/ 1 (- (pow 1.0 3) (pow x 3))) (+ (* 1.0 1.0) (+ (* x x) (* 1.0 x))))

simplify751.0ms

Counts
296 → 296
Iterations
IterNodes
done5000
11432
0369

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (* x x))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×*-un-lft-identity
1×add-sqr-sqrt pow1 +-commutative sum-log flip3-+ distribute-rgt-out add-cbrt-cube distribute-rgt1-in add-exp-log add-cube-cbrt flip-+
Counts
1 → 13
Calls
1 calls:
8.0ms
(+ x (* x x))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(+ x (* x x))

simplify417.0ms

Counts
16 → 16
Iterations
IterNodes
done5001
2569
192
029

prune61.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations
IterNodes
done6
16
05

end0.0ms

sample473.0ms

Algorithm
intervals
Results
296.0ms8000×body80valid