Details

Time bar (total: 3.5s)

sample36.0ms

Algorithm
intervals
Results
16.0ms131×pre10240exit
5.0ms256×body80valid
2.0ms125×pre80true

simplify2.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
7.3b
(- (/ x0 (- 1.0 x1)) x0)

rewrite78.0ms

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:
12.0ms
(/ x0 (- 1.0 x1))
65.0ms
(- (/ x0 (- 1.0 x1)) x0)

series87.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(/ x0 (- 1.0 x1))
51.0ms
(- (/ x0 (- 1.0 x1)) x0)

simplify86.0ms

Counts
58 → 58

prune90.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.8b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
0.7b
(/ x0 (- 1.0 x1))
0.8b
(+ (/ x0 (- 1.0 x1)) x0)
6.1b
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
24×add-cube-cbrt
10×associate-/r*
9×difference-of-squares
8×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp
6×associate-/l*
4×pow1 associate-/r/
3×flip3-- flip--
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg flip3-+ diff-log sum-log flip-+ distribute-lft-out
Counts
4 → 99
Calls
4 calls:
12.0ms
(/ x0 (- 1.0 x1))
14.0ms
(/ x0 (- 1.0 x1))
43.0ms
(+ (/ x0 (- 1.0 x1)) x0)
29.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series201.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(/ x0 (- 1.0 x1))
42.0ms
(/ x0 (- 1.0 x1))
40.0ms
(+ (/ x0 (- 1.0 x1)) x0)
82.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify38.0ms

Counts
111 → 111

prune221.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
0.7b
(/ x0 (- 1.0 x1))
0.8b
(+ (/ x0 (- 1.0 x1)) x0)
6.1b
(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
40×add-sqr-sqrt
30×times-frac
24×add-cube-cbrt
10×associate-/r*
8×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
6×associate-/l*
4×pow1 associate-/r/
3×flip3-- flip--
2×cbrt-undiv frac-2neg div-exp clear-num div-inv
1×+-commutative sub-neg flip3-+ diff-log sum-log flip-+ distribute-lft-out
Counts
4 → 98
Calls
4 calls:
12.0ms
(/ x0 (- 1.0 x1))
12.0ms
(/ x0 (- 1.0 x1))
46.0ms
(+ (/ x0 (- 1.0 x1)) x0)
57.0ms
(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

series197.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ x0 (- 1.0 x1))
41.0ms
(/ x0 (- 1.0 x1))
40.0ms
(+ (/ x0 (- 1.0 x1)) x0)
80.0ms
(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

simplify39.0ms

Counts
110 → 110

prune225.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.9b
(cbrt (+ (/ x0 (- 1.0 x1)) x0))
0.9b
(cbrt (+ (/ x0 (- 1.0 x1)) x0))
0.9b
(cbrt (+ (/ x0 (- 1.0 x1)) x0))
6.1b
(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

rewrite136.0ms

Algorithm
rewrite-expression-head
Rules
13×*-un-lft-identity
12×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt
6×cbrt-div add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×flip3-+ pow1/3 flip-+ distribute-lft-out
1×sub-neg flip3-- diff-log flip--
Counts
4 → 54
Calls
4 calls:
26.0ms
(cbrt (+ (/ x0 (- 1.0 x1)) x0))
27.0ms
(cbrt (+ (/ x0 (- 1.0 x1)) x0))
26.0ms
(cbrt (+ (/ x0 (- 1.0 x1)) x0))
55.0ms
(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

series508.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(cbrt (+ (/ x0 (- 1.0 x1)) x0))
144.0ms
(cbrt (+ (/ x0 (- 1.0 x1)) x0))
138.0ms
(cbrt (+ (/ x0 (- 1.0 x1)) x0))
80.0ms
(- (* (/ x0 (- 1.0 x1)) (* x0 (/ 1 (- 1.0 x1)))) (* x0 x0))

simplify34.0ms

Counts
66 → 66

prune205.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 4.6b

regimes74.0ms

Accuracy

0% (0.9b remaining)

Error of 5.7b against oracle of 4.7b and baseline of 5.7b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample940.0ms

Algorithm
intervals
Results
486.0ms4029×pre10240exit
179.0ms8000×body80valid
78.0ms3971×pre80true