Details

Time bar (total: 22.3s)

sample68.0ms

Algorithm
intervals
Results
38.0ms144×pre10240exit
12.0ms256×body80valid
6.0ms112×pre80true

simplify11.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
11.0ms
(- (/ x0 (- 1 x1)) x0)

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize8.0ms

Local error

Found 2 expressions with local error:

7.3b
(- (/ x0 (- 1 x1)) x0)
0.7b
(/ x0 (- 1 x1))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
30×add-sqr-sqrt
27×*-un-lft-identity
19×times-frac
13×add-cube-cbrt
10×difference-of-squares
6×associate-/r*
5×distribute-lft-out--
4×add-cbrt-cube add-exp-log add-log-exp
3×associate-/l*
2×pow1 flip3-- associate-/r/ insert-posit16 flip--
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
Counts
2 → 58
Calls
2 calls:
Slowest
71.0ms
(- (/ x0 (- 1 x1)) x0)
14.0ms
(/ x0 (- 1 x1))

series76.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
44.0ms
(- (/ x0 (- 1 x1)) x0)
31.0ms
(/ x0 (- 1 x1))

simplify2.1s

Counts
60 → 64
Calls
60 calls:
Slowest
300.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
249.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
241.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
165.0ms
(/ (* (* x0 x0) x0) (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
135.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune280.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.9b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite115.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
50×add-sqr-sqrt
36×times-frac
26×add-cube-cbrt
17×difference-of-squares
12×associate-/r*
8×add-cbrt-cube add-exp-log distribute-lft-out-- add-log-exp
6×associate-/l*
4×pow1 associate-/r/ insert-posit16
3×flip3-- flip--
2×cbrt-undiv clear-num frac-2neg div-exp div-inv
1×+-commutative sum-log sub-neg flip3-+ diff-log flip-+ distribute-lft-out
Counts
4 → 111
Calls
4 calls:
Slowest
51.0ms
(+ (/ x0 (- 1 x1)) x0)
33.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
15.0ms
(/ x0 (- 1 x1))
15.0ms
(/ x0 (- 1 x1))

series185.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
78.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
40.0ms
(+ (/ x0 (- 1 x1)) x0)
34.0ms
(/ x0 (- 1 x1))
32.0ms
(/ x0 (- 1 x1))

simplify4.7s

Counts
113 → 123
Calls
113 calls:
Slowest
369.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
310.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
302.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
299.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
285.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune505.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.7b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
50×add-sqr-sqrt
36×times-frac
26×add-cube-cbrt
16×difference-of-squares
12×associate-/r*
8×add-cbrt-cube add-exp-log distribute-lft-out-- add-log-exp
6×associate-/l*
4×pow1 associate-/r/ insert-posit16
3×flip3-- flip--
2×cbrt-undiv clear-num frac-2neg div-exp div-inv
1×+-commutative sum-log sub-neg flip3-+ diff-log flip-+ distribute-lft-out
Counts
4 → 110
Calls
4 calls:
Slowest
43.0ms
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
32.0ms
(+ (/ x0 (- 1 x1)) x0)
8.0ms
(/ x0 (- 1 x1))
8.0ms
(/ x0 (- 1 x1))

series172.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
70.0ms
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
40.0ms
(/ x0 (- 1 x1))
33.0ms
(+ (/ x0 (- 1 x1)) x0)
28.0ms
(/ x0 (- 1 x1))

simplify4.1s

Counts
111 → 122
Calls
111 calls:
Slowest
517.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
280.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
261.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
257.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
245.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune478.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 3.9b

localize34.0ms

Local error

Found 4 expressions with local error:

6.1b
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
3.8b
(log (exp (- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))))
0.7b
(+ (/ x0 (- 1 x1)) x0)
0.7b
(/ x0 (- 1 x1))

rewrite190.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
29×add-sqr-sqrt
18×times-frac
17×add-cube-cbrt
8×add-log-exp difference-of-squares
6×associate-/r* add-cbrt-cube add-exp-log
5×pow1 log-prod
4×log-pow insert-posit16 distribute-lft-out--
3×exp-prod associate-/l*
2×sub-neg flip3-- exp-sum associate-/r/ flip--
1×cbrt-undiv +-commutative log-div clear-num sum-log frac-2neg flip3-+ exp-diff diff-log div-exp rem-log-exp flip-+ div-inv distribute-lft-out
Counts
4 → 87
Calls
4 calls:
Slowest
103.0ms
(log (exp (- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))))
55.0ms
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
22.0ms
(+ (/ x0 (- 1 x1)) x0)
8.0ms
(/ x0 (- 1 x1))

series223.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
82.0ms
(log (exp (- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))))
74.0ms
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
41.0ms
(+ (/ x0 (- 1 x1)) x0)
26.0ms
(/ x0 (- 1 x1))

simplify6.0s

Counts
73 → 99
Calls
73 calls:
Slowest
413.0ms
(log (exp (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1))))))
395.0ms
(log (exp (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1))))))
335.0ms
(log (exp (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1))))))
304.0ms
(sqrt (- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0)))
296.0ms
(log (* (cbrt (exp (- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0)))) (cbrt (exp (- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))))))

prune786.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 3.8b

regimes105.0ms

Accuracy

0% (0.7b remaining)

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

bsearch3.0ms

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s3981×pre10240exit
389.0ms8000×body80valid
201.0ms4019×pre80true