Details

Time bar (total: 6.8s)

sample36.0ms

Algorithm
intervals
Results
15.0ms130×pre10240exit
6.0ms256×body80valid
2.0ms126×pre80true

simplify15.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
7.2b
(- (/ x0 (- 1.0 x1)) x0)

rewrite119.0ms

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:
19.0ms
(/ x0 (- 1.0 x1))
98.0ms
(- (/ x0 (- 1.0 x1)) x0)

series106.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ x0 (- 1.0 x1))
59.0ms
(- (/ x0 (- 1.0 x1)) x0)

simplify964.0ms

Counts
58 → 58

prune95.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.7b

localize16.0ms

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)
6.0b
(- (* (/ 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:
13.0ms
(/ x0 (- 1.0 x1))
12.0ms
(/ x0 (- 1.0 x1))
47.0ms
(+ (/ x0 (- 1.0 x1)) x0)
25.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series196.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ x0 (- 1.0 x1))
40.0ms
(/ x0 (- 1.0 x1))
39.0ms
(+ (/ x0 (- 1.0 x1)) x0)
81.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify456.0ms

Counts
111 → 111

prune208.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
0.8b
(+ (/ x0 (- 1.0 x1)) x0)
3.6b
(log (exp (- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
6.0b
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
26×*-un-lft-identity
24×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
8×add-log-exp
6×add-exp-log add-cbrt-cube difference-of-squares
5×pow1 log-prod associate-/r* log-pow
4×exp-prod distribute-lft-out--
3×associate-/l*
2×sub-neg flip3-- exp-sum associate-/r/ flip--
1×cbrt-undiv +-commutative log-div frac-2neg flip3-+ exp-diff diff-log div-exp rem-log-exp clear-num sum-log flip-+ div-inv distribute-lft-out
Counts
4 → 81
Calls
4 calls:
12.0ms
(/ x0 (- 1.0 x1))
44.0ms
(+ (/ x0 (- 1.0 x1)) x0)
72.0ms
(log (exp (- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
28.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

series231.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ x0 (- 1.0 x1))
41.0ms
(+ (/ x0 (- 1.0 x1)) x0)
75.0ms
(log (exp (- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))))
79.0ms
(- (* (/ x0 (- 1.0 x1)) (/ x0 (- 1.0 x1))) (* x0 x0))

simplify463.0ms

Counts
93 → 93

prune221.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 4.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ x0 (- 1.0 x1))
0.7b
(/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1)))
0.8b
(+ (/ x0 (- 1.0 x1)) x0)
6.0b
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
32×*-un-lft-identity
30×add-sqr-sqrt
23×times-frac
18×add-cube-cbrt
13×associate-/r*
11×add-exp-log
10×sqrt-prod
9×add-cbrt-cube
8×add-log-exp
6×distribute-lft-out-- difference-of-squares
4×pow1 associate-/r/ associate-/l*
3×cbrt-undiv flip3-- div-exp flip--
2×frac-2neg sqrt-div clear-num div-inv
1×+-commutative sub-neg flip3-+ diff-log prod-exp sum-log cbrt-unprod flip-+ distribute-lft-out
Counts
4 → 94
Calls
4 calls:
12.0ms
(/ x0 (- 1.0 x1))
21.0ms
(/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1)))
44.0ms
(+ (/ x0 (- 1.0 x1)) x0)
132.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

series348.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ x0 (- 1.0 x1))
175.0ms
(/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1)))
39.0ms
(+ (/ x0 (- 1.0 x1)) x0)
94.0ms
(- (* (/ x0 (- 1.0 x1)) (* (/ (* (cbrt x0) (cbrt x0)) (sqrt (- 1.0 x1))) (/ (cbrt x0) (sqrt (- 1.0 x1))))) (* x0 x0))

simplify790.0ms

Counts
106 → 106

prune288.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 3.8b

regimes66.0ms

Accuracy

71% (0.7b remaining)

Error of 4.7b against oracle of 4.0b and baseline of 6.3b

bsearch32.0ms

Steps
ItersRangePoint
7
0.000209
0.0186
0.00021208908081054686

simplify414.0ms

end0.0ms

sample1.2s

Algorithm
intervals
Results
504.0ms8000×body80valid
431.0ms3936×pre10240exit
67.0ms4064×pre80true