Details

Time bar (total: 10.9s)

sample40.0ms

Algorithm
intervals
Results
10.0ms52×body640valid
7.0ms50×body320valid
6.0ms123×body80valid
3.0ms31×body160valid

simplify20.0ms

Counts
1 → 1
Iterations
IterNodes
done15
215
112
07

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.3b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1.0 (+ x 1.0))
4.2b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
65×*-un-lft-identity
40×times-frac
31×add-sqr-sqrt
21×distribute-lft-out--
19×add-cube-cbrt
10×distribute-lft-out
associate-/r* add-cbrt-cube add-exp-log associate-/r/ add-log-exp difference-of-squares
div-inv associate-/l*
pow1 flip-+ flip--
cbrt-undiv clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log div-exp frac-sub
Counts
2 → 65
Calls
2 calls:
15.0ms
(/ 1.0 (+ x 1.0))
108.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series240.0ms

Counts
2 → 6
Calls
2 calls:
31.0ms
(/ 1.0 (+ x 1.0))
209.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.8s

Counts
71 → 71
Iterations
IterNodes
done5036
34080
2955
1318
0133

prune321.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (* (+ x 1.0) (- x 1.0)))
3.6b
(- (- x 1.0) (+ x 1.0))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
14×*-un-lft-identity add-cbrt-cube add-exp-log add-log-exp
flip3-- flip--
associate-*r/ associate-/r/ frac-sub
flip3-+ flip-+
diff-log distribute-lft-out-- associate-/l/
add-sqr-sqrt frac-times cbrt-undiv div-exp prod-exp cbrt-unprod
pow1 sum-log sub-neg associate-*l/ associate--l+ add-cube-cbrt distribute-lft-out
associate--l- clear-num associate-/r* frac-2neg times-frac div-inv associate-/l* associate--r+ difference-of-squares
Counts
2 → 63
Calls
2 calls:
62.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (* (+ x 1.0) (- x 1.0)))
59.0ms
(- (- x 1.0) (+ x 1.0))

series98.0ms

Counts
2 → 6
Calls
2 calls:
86.0ms
(/ (* 1.0 (- (- x 1.0) (+ x 1.0))) (* (+ x 1.0) (- x 1.0)))
12.0ms
(- (- x 1.0) (+ x 1.0))

simplify1.9s

Counts
69 → 69
Iterations
IterNodes
done5490
23084
1501
0152

prune294.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 1 expressions with local error:

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

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
associate-/r/
frac-times cbrt-undiv div-exp prod-exp cbrt-unprod
flip3-+ flip3-- flip-+ flip--
associate-*l/ associate-*r/
add-sqr-sqrt pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac distribute-frac-neg distribute-rgt-neg-out add-cube-cbrt div-inv associate-/l* add-log-exp
Counts
1 → 30
Calls
1 calls:
17.0ms
(/ (* 1.0 (- 2.0)) (* (+ x 1.0) (- x 1.0)))

series95.0ms

Counts
1 → 3
Calls
1 calls:
95.0ms
(/ (* 1.0 (- 2.0)) (* (+ x 1.0) (- x 1.0)))

simplify1.5s

Counts
33 → 33
Iterations
IterNodes
done5004
21677
1318
099

prune173.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

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))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
65×*-un-lft-identity
49×add-sqr-sqrt
27×add-cube-cbrt
16×add-cbrt-cube add-exp-log associate-/r/
11×associate-/l* distribute-lft-out-- difference-of-squares
associate-/r*
div-inv distribute-lft-out
cbrt-undiv flip3-+ div-exp flip-+
distribute-frac-neg
pow1 clear-num frac-2neg prod-exp distribute-rgt-neg-out cbrt-unprod add-log-exp
flip3-- flip-- associate-/l/
Counts
2 → 111
Calls
2 calls:
27.0ms
(/ (* 1.0 (- 2.0)) (+ x 1.0))
51.0ms
(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

series134.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(/ (* 1.0 (- 2.0)) (+ x 1.0))
105.0ms
(/ (/ (* 1.0 (- 2.0)) (+ x 1.0)) (- x 1.0))

simplify1.7s

Counts
117 → 117
Iterations
IterNodes
done5003
22229
1586
0204

prune566.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations
IterNodes
done22
322
219
113
09

end0.0ms

sample1.4s

Algorithm
intervals
Results
666.0ms4179×body80valid
342.0ms1850×body640valid
223.0ms1353×body320valid
52.0ms618×body160valid