Details

Time bar (total: 9.4s)

sample25.0ms

Algorithm
intervals
Results
7.0ms61×body640valid
4.0ms137×body80valid
3.0ms35×body320valid
1.0ms23×body160valid

simplify16.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 1.0 (- x 1.0))
0.0b
(/ 1.0 (+ x 1.0))
2.2b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite153.0ms

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:
13.0ms
(/ 1.0 (- x 1.0))
12.0ms
(/ 1.0 (+ x 1.0))
124.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series574.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(/ 1.0 (- x 1.0))
39.0ms
(/ 1.0 (+ x 1.0))
486.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify2.0s

Counts
111 → 111

prune264.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
2.2b
(- (- x 1.0) (+ x 1.0))

rewrite180.0ms

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:
112.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
64.0ms
(- (- x 1.0) (+ x 1.0))

series72.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (- (* x x) (* 1.0 1.0)))
13.0ms
(- (- x 1.0) (+ x 1.0))

simplify1.1s

Counts
65 → 65

prune189.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize17.0ms

Local error

Found 1 expressions with local error:

0.5b
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

rewrite42.0ms

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:
41.0ms
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

series91.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(/ (* 1.0 (- 2.0)) (- (* x x) (* 1.0 1.0)))

simplify662.0ms

Counts
29 → 29

prune98.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (- 2.0)) (+ x 1.0))
0.1b
(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

rewrite77.0ms

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:
25.0ms
(/ (* 1.0 (- 2.0)) (+ x 1.0))
47.0ms
(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series127.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (* 1.0 (- 2.0)) (+ x 1.0))
87.0ms
(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify1.2s

Counts
117 → 117

prune308.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes22.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0s

end0.0ms

sample1.2s

Algorithm
intervals
Results
499.0ms1896×body640valid
251.0ms4215×body80valid
172.0ms1257×body320valid
55.0ms632×body160valid