Details

Time bar (total: 7.9s)

sample28.0ms

Algorithm
intervals
Results
11.0ms121×pre10240exit
5.0ms256×body80valid
2.0ms135×pre80true

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2127
done127

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
7.4b
(- (/ x0 (- 1.0 x1)) x0)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×*-un-lft-identity
16×times-frac
12×add-cube-cbrt
6×difference-of-squares
5×associate-/r* distribute-lft-out--
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/l*
2×pow1 flip3-- associate-/r/ flip--
1×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
2 → 52
Calls
2 calls:
5.0ms
(/ x0 (- 1.0 x1))
31.0ms
(- (/ x0 (- 1.0 x1)) x0)

series77.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ x0 (- 1.0 x1))
44.0ms
(- (/ x0 (- 1.0 x1)) x0)

simplify1.3s

Counts
58 → 58
Iterations

Useful iterations: done (1.3s)

IterNodesCost
0117677
1255641
2774613
33016601
done5000600

prune87.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
6.2b
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt *-un-lft-identity
45×times-frac
34×add-cube-cbrt
15×associate-/r*
13×difference-of-squares
12×distribute-lft-out--
10×add-exp-log add-cbrt-cube
9×associate-/l*
6×associate-/r/ add-log-exp
4×pow1 flip3-- flip--
3×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×sub-neg diff-log
Counts
4 → 124
Calls
4 calls:
5.0ms
(/ x0 (- 1.0 x1))
5.0ms
(/ x0 (- 1.0 x1))
5.0ms
(/ x0 (- 1.0 x1))
10.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series173.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ x0 (- 1.0 x1))
32.0ms
(/ x0 (- 1.0 x1))
36.0ms
(/ x0 (- 1.0 x1))
72.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify423.0ms

Counts
136 → 136
Iterations

Useful iterations: done (415.0ms)

IterNodesCost
01291682
12911620
210921490
done50001454

prune228.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))
0.8b
(/ x0 (- 1.0 x1))
0.8b
(/ x0 (- 1.0 x1))
6.2b
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
128×add-sqr-sqrt
108×times-frac
86×*-un-lft-identity
56×add-cube-cbrt
54×associate-*r*
46×sqrt-prod
30×cbrt-prod
29×add-exp-log
22×add-cbrt-cube
15×distribute-lft-out-- difference-of-squares unswap-sqr
14×associate-*l*
10×associate-/r*
9×cbrt-undiv div-exp
8×prod-exp associate-/r/ cbrt-unprod
6×pow1 associate-/l* add-log-exp
5×flip3-- flip--
4×sqrt-div div-inv
2×frac-2neg clear-num
1×frac-times sub-neg diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 193
Calls
4 calls:
56.0ms
(* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))
5.0ms
(/ x0 (- 1.0 x1))
5.0ms
(/ x0 (- 1.0 x1))
71.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

series210.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))
33.0ms
(/ x0 (- 1.0 x1))
37.0ms
(/ x0 (- 1.0 x1))
87.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

simplify1.3s

Counts
205 → 205
Iterations

Useful iterations: 2 (266.0ms)

IterNodesCost
02954104
18303914
236903200
done50013200

prune453.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.8b
(/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1)))
0.8b
(* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))
0.8b
(/ x0 (- 1.0 x1))
6.2b
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
118×add-sqr-sqrt
101×times-frac
76×*-un-lft-identity
56×sqrt-prod
54×associate-*r*
50×add-cube-cbrt
32×add-exp-log
30×cbrt-prod
23×add-cbrt-cube
15×unswap-sqr
14×associate-*l*
13×associate-/r* distribute-lft-out-- difference-of-squares
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-/r/
6×pow1 sqrt-div add-log-exp
5×flip3-- flip--
4×div-inv associate-/l*
2×frac-2neg clear-num
1×frac-times sub-neg diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 189
Calls
4 calls:
8.0ms
(/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1)))
55.0ms
(* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))
5.0ms
(/ x0 (- 1.0 x1))
69.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

series319.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1)))
48.0ms
(* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))
30.0ms
(/ x0 (- 1.0 x1))
84.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

simplify1.6s

Counts
201 → 201
Iterations

Useful iterations: 2 (316.0ms)

IterNodesCost
03634281
110194063
245573313
done50003313

prune496.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 5.1b

regimes28.0ms

Accuracy

100% (0.0b remaining)

Error of 5.0b against oracle of 5.0b and baseline of 6.6b

bsearch39.0ms

Steps
ItersRangePoint
7
0.000209
0.0186
0.018204597656249998

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03484
14084
done4084

end0.0ms

sample719.0ms

Algorithm
intervals
Results
379.0ms3996×pre10240exit
141.0ms8000×body80valid
62.0ms4004×pre80true