Details

Time bar (total: 3.5s)

sample27.0ms

Algorithm
intervals
Results
11.0ms64×body640valid
4.0ms143×body80valid
3.0ms34×body320valid
1.0ms15×body160valid

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
1.9b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
84×*-un-lft-identity
55×times-frac
50×add-sqr-sqrt
30×add-cube-cbrt
25×distribute-lft-out--
10×distribute-lft-out
9×associate-/r*
8×difference-of-squares
7×add-exp-log add-cbrt-cube
6×associate-/r/ associate-/l*
5×add-log-exp
4×div-inv
3×pow1 flip--
2×cbrt-undiv flip3-- frac-2neg div-exp clear-num flip-+
1×sub-neg flip3-+ diff-log frac-sub
Counts
3 → 102
Calls
3 calls:
12.0ms
(/ 1.0 (- x 1.0))
11.0ms
(/ 1.0 (+ x 1.0))
84.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series269.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ 1.0 (- x 1.0))
26.0ms
(/ 1.0 (+ x 1.0))
206.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify74.0ms

Counts
111 → 111

prune256.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.8b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
1.5b
(- (- x 1.0) (+ x 1.0))

rewrite177.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
14×add-log-exp
8×frac-sub
7×add-exp-log flip3-- add-cbrt-cube flip--
6×add-sqr-sqrt diff-log associate-*r/ associate-/l/ distribute-lft-out--
4×add-cube-cbrt flip3-+ times-frac associate-/r* flip-+
3×difference-of-squares
2×pow1 cbrt-undiv sub-neg div-exp associate--l+ sum-log associate-/r/ distribute-lft-out
1×associate--l- frac-2neg prod-exp clear-num cbrt-unprod div-inv associate-/l* associate--r+
Counts
2 → 59
Calls
2 calls:
91.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
84.0ms
(- (- x 1.0) (+ x 1.0))

series67.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
9.0ms
(- (- x 1.0) (+ x 1.0))

simplify58.0ms

Counts
65 → 65

prune144.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize8.0ms

Local error

Found 1 expressions with local error:

0.8b
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
2×cbrt-undiv div-exp associate-/r/ difference-of-squares
1×pow1 flip3-- frac-2neg distribute-frac-neg prod-exp clear-num distribute-rgt-neg-out flip-- cbrt-unprod div-inv associate-/l* add-log-exp
Counts
1 → 26
Calls
1 calls:
21.0ms
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

simplify33.0ms

Counts
29 → 29

prune70.0ms

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
(/ (* 1.0 (- 2.0)) (+ x 1.0))
0.0b
(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
65×*-un-lft-identity
49×add-sqr-sqrt
27×add-cube-cbrt
16×add-exp-log associate-/r/ add-cbrt-cube
11×associate-/l* distribute-lft-out-- difference-of-squares
9×associate-/r*
8×div-inv distribute-lft-out
7×cbrt-undiv flip3-+ div-exp flip-+
3×distribute-frac-neg
2×pow1 frac-2neg prod-exp clear-num distribute-rgt-neg-out cbrt-unprod add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 111
Calls
2 calls:
18.0ms
(/ (* 1.0 (- 2.0)) (+ x 1.0))
38.0ms
(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series114.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (* 1.0 (- 2.0)) (+ x 1.0))
86.0ms
(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify77.0ms

Counts
117 → 117

prune281.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify45.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
574.0ms1266×body320valid
407.0ms1949×body640valid
230.0ms4157×body80valid
54.0ms628×body160valid