Details

Time bar (total: 10.2s)

sample75.0ms

Algorithm
intervals
Results
26.0ms256×body80valid

simplify20.0ms

Counts
1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ x (+ x 1))
0.0b
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
0.0b
(/ 1 (- x 1))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
41×times-frac
40×add-sqr-sqrt
24×add-cube-cbrt
12×distribute-lft-out
11×associate-/r*
9×add-exp-log
8×difference-of-squares
7×add-cbrt-cube
6×associate-/l* distribute-lft-out--
5×add-log-exp
4×pow1 difference-of-sqr-1 associate-/r/
3×div-exp insert-posit16 div-inv
2×cbrt-undiv clear-num frac-2neg flip3-+ flip-+
1×+-commutative rec-exp sum-log flip3-- 1-exp frac-add pow-flip flip-- inv-pow
Counts
3 → 103
Calls
3 calls:
Slowest
33.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
10.0ms
(/ 1 (- x 1))
7.0ms
(/ x (+ x 1))

series138.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
83.0ms
(+ (/ 1 (- x 1)) (/ x (+ x 1)))
33.0ms
(/ x (+ x 1))
22.0ms
(/ 1 (- x 1))

simplify1.0s

Counts
112 → 112

prune849.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

15.0b
(* (/ 1 (+ -1 (* x x))) (+ x 1))
0.4b
(/ 1 (+ -1 (* x x)))
0.0b
(/ x (+ x 1))
0.0b
(+ (* (/ 1 (+ -1 (* x x))) (+ x 1)) (/ x (+ x 1)))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
40×*-un-lft-identity
36×add-sqr-sqrt
32×times-frac
29×add-cube-cbrt
19×add-exp-log
15×associate-*l*
13×add-cbrt-cube
8×flip3-+ flip-+
7×pow1 associate-/r*
6×associate-/r/ associate-/l* add-log-exp
5×div-exp frac-add distribute-lft-out
4×frac-times associate-*r* prod-exp associate-*r/ insert-posit16
3×cbrt-undiv div-inv unswap-sqr
2×distribute-rgt-in rec-exp associate-+l+ clear-num frac-2neg distribute-lft-in 1-exp associate-*l/ cbrt-unprod
1×+-commutative sum-log pow-prod-down *-commutative pow-flip inv-pow
Counts
4 → 132
Calls
4 calls:
Slowest
35.0ms
(* (/ 1 (+ -1 (* x x))) (+ x 1))
24.0ms
(+ (* (/ 1 (+ -1 (* x x))) (+ x 1)) (/ x (+ x 1)))
10.0ms
(/ 1 (+ -1 (* x x)))
7.0ms
(/ x (+ x 1))

series289.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
151.0ms
(+ (* (/ 1 (+ -1 (* x x))) (+ x 1)) (/ x (+ x 1)))
55.0ms
(/ 1 (+ -1 (* x x)))
44.0ms
(* (/ 1 (+ -1 (* x x))) (+ x 1))
39.0ms
(/ x (+ x 1))

simplify929.0ms

Counts
144 → 144

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

15.0b
(* (/ 1 (+ -1 (* x x))) (+ x 1))
15.0b
(* (/ 1 (+ -1 (* x x))) (+ x 1))
15.0b
(* (/ 1 (+ -1 (* x x))) (+ x 1))
0.4b
(/ 1 (+ -1 (* x x)))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
57×add-sqr-sqrt
45×*-un-lft-identity associate-*l*
42×times-frac
36×add-cube-cbrt
35×add-exp-log
21×add-cbrt-cube
12×associate-*r* prod-exp
11×pow1
10×flip3-+ flip-+
9×unswap-sqr
8×div-exp associate-/r/
6×frac-times associate-*r/ cbrt-unprod
4×cbrt-undiv rec-exp 1-exp insert-posit16 div-inv add-log-exp
3×distribute-rgt-in associate-/r* distribute-lft-in pow-prod-down associate-*l/ *-commutative distribute-lft-out associate-/l*
1×clear-num frac-2neg pow-flip inv-pow
Counts
4 → 169
Calls
4 calls:
Slowest
40.0ms
(* (/ 1 (+ -1 (* x x))) (+ x 1))
31.0ms
(* (/ 1 (+ -1 (* x x))) (+ x 1))
22.0ms
(* (/ 1 (+ -1 (* x x))) (+ x 1))
13.0ms
(/ 1 (+ -1 (* x x)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
50.0ms
(* (/ 1 (+ -1 (* x x))) (+ x 1))
40.0ms
(* (/ 1 (+ -1 (* x x))) (+ x 1))
33.0ms
(/ 1 (+ -1 (* x x)))
28.0ms
(* (/ 1 (+ -1 (* x x))) (+ x 1))

simplify2.1s

Counts
181 → 181

prune2.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample839.0ms

Algorithm
intervals
Results
728.0ms8000×body80valid