Details

Time bar (total: 11.8s)

sample41.0ms

Algorithm
intervals
Results
12.0ms65×body640valid
6.0ms132×body80valid
5.0ms39×body320valid
2.0ms20×body160valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done12
212
19
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.9b

localize15.0ms

Local error

Found 1 expressions with local error:

2.8b
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
17×add-sqr-sqrt
16×times-frac
8×distribute-lft-out--
5×add-cube-cbrt
4×difference-of-squares
3×distribute-lft-out add-log-exp
2×div-inv
1×pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log frac-sub flip--
Counts
1 → 25
Calls
1 calls:
105.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

series104.0ms

Counts
1 → 3
Calls
1 calls:
104.0ms
(- (/ 1.0 (+ x 1.0)) (/ 1.0 x))

simplify1.2s

Counts
28 → 28
Iterations
IterNodes
done5002
31501
2466
1172
074

prune120.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ x 1.0) x)
0.3b
(/ (* 1.0 (- 0 1.0)) (* (+ x 1.0) x))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube add-exp-log
6×add-sqr-sqrt *-un-lft-identity
5×prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp associate-*l* associate-*l/ add-cube-cbrt
3×associate-*r*
2×flip3-+ associate-*r/ associate-/r/ flip-+ add-log-exp associate-/l/
1×clear-num associate-/r* frac-2neg times-frac flip3-- pow-prod-down distribute-frac-neg *-commutative distribute-rgt-neg-out div-inv flip-- distribute-lft-out associate-/l* unswap-sqr sub0-neg
Counts
2 → 47
Calls
2 calls:
19.0ms
(* (+ x 1.0) x)
38.0ms
(/ (* 1.0 (- 0 1.0)) (* (+ x 1.0) x))

series150.0ms

Counts
2 → 6
Calls
2 calls:
88.0ms
(* (+ x 1.0) x)
63.0ms
(/ (* 1.0 (- 0 1.0)) (* (+ x 1.0) x))

simplify1.5s

Counts
53 → 53
Iterations
IterNodes
done5001
21686
1327
0104

prune195.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
46×times-frac
28×*-un-lft-identity
20×add-sqr-sqrt add-cube-cbrt
10×add-cbrt-cube add-exp-log associate-/l*
8×associate-/r/
5×cbrt-undiv div-exp div-inv
4×flip3-+ flip-+ distribute-lft-out
3×associate-/r*
2×distribute-frac-neg
1×distribute-lft-neg-out pow1 clear-num frac-2neg prod-exp cbrt-unprod add-log-exp associate-/l/
Counts
1 → 61
Calls
1 calls:
32.0ms
(/ (/ (* (- 1.0) 1.0) (+ 1.0 x)) x)

series52.0ms

Counts
1 → 3
Calls
1 calls:
52.0ms
(/ (/ (* (- 1.0) 1.0) (+ 1.0 x)) x)

simplify1.7s

Counts
64 → 64
Iterations
IterNodes
done5000
21553
1418
0156

prune294.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
9.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
397.0ms
(* (cbrt x) (cbrt x))
264.0ms
(cbrt x)
291.0ms
(cbrt x)
295.0ms
(cbrt x)

simplify3.4s

Counts
85 → 85
Iterations
IterNodes
done5007
43735
31034
2377
1136
061

prune458.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations
IterNodes
done15
315
213
111
07

end0.0ms

sample928.0ms

Algorithm
intervals
Results
333.0ms1895×body640valid
191.0ms4272×body80valid
173.0ms1226×body320valid
40.0ms608×body160valid