Details

Time bar (total: 20.5s)

sample62.0ms

Algorithm
intervals
Results
33.0ms126×pre10240exit
12.0ms256×body80valid
5.0ms130×pre80true

simplify13.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
13.0ms
(- (/ 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:

7.4b
(- (/ x0 (- 1 x1)) x0)
0.7b
(/ x0 (- 1 x1))

rewrite84.0ms

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
73.0ms
(- (/ x0 (- 1 x1)) x0)
11.0ms
(/ x0 (- 1 x1))

series78.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
48.0ms
(- (/ x0 (- 1 x1)) x0)
31.0ms
(/ x0 (- 1 x1))

simplify2.1s

Counts
60 → 64
Calls
60 calls:
Slowest
286.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
263.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
219.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
171.0ms
(/ (* (* x0 x0) x0) (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
133.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune331.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 6.9b

localize39.0ms

Local error

Found 4 expressions with local error:

6.2b
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
0.7b
(/ x0 (- 1 x1))
0.7b
(/ x0 (- 1 x1))
0.7b
(/ x0 (- 1 x1))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt *-un-lft-identity
54×times-frac
37×add-cube-cbrt
25×difference-of-squares
18×associate-/r*
12×distribute-lft-out--
10×add-cbrt-cube add-exp-log
9×associate-/l*
6×associate-/r/ add-log-exp
4×pow1 flip3-- insert-posit16 flip--
3×cbrt-undiv clear-num frac-2neg div-exp div-inv
1×sub-neg diff-log
Counts
4 → 140
Calls
4 calls:
Slowest
36.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
16.0ms
(/ x0 (- 1 x1))
16.0ms
(/ x0 (- 1 x1))
15.0ms
(/ x0 (- 1 x1))

series164.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
72.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
32.0ms
(/ x0 (- 1 x1))
30.0ms
(/ x0 (- 1 x1))
30.0ms
(/ x0 (- 1 x1))

simplify4.7s

Counts
159 → 152
Calls
159 calls:
Slowest
261.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
259.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
252.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
238.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
236.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune669.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.9b

localize30.0ms

Local error

Found 4 expressions with local error:

6.2b
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
0.7b
(/ x0 (- 1 x1))
0.7b
(/ x0 (- 1 x1))
0.7b
(+ (/ x0 (- 1 x1)) x0)

rewrite100.0ms

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
50.0ms
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
31.0ms
(+ (/ x0 (- 1 x1)) x0)
10.0ms
(/ x0 (- 1 x1))
8.0ms
(/ x0 (- 1 x1))

series176.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
74.0ms
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
44.0ms
(+ (/ x0 (- 1 x1)) x0)
31.0ms
(/ x0 (- 1 x1))
26.0ms
(/ x0 (- 1 x1))

simplify3.7s

Counts
111 → 122
Calls
111 calls:
Slowest
318.0ms
(+ (* 2 x0) (+ (* x0 x1) (* x0 (pow x1 2))))
243.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
223.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
214.0ms
(- (+ (/ (pow x0 2) (pow x1 2)) (* 2 (/ (pow x0 2) (pow x1 3)))) (pow x0 2))
207.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune384.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.1b

localize36.0ms

Local error

Found 4 expressions with local error:

6.2b
(- (* (/ 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))
0.7b
(/ x0 (- 1 x1))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt *-un-lft-identity
36×times-frac
28×add-cube-cbrt
16×difference-of-squares
12×associate-/r*
8×add-cbrt-cube add-exp-log distribute-lft-out--
6×associate-/l* add-log-exp
5×pow1 log-prod
4×associate-/r/ log-pow insert-posit16
3×exp-prod flip3-- flip--
2×cbrt-undiv clear-num sub-neg frac-2neg div-exp exp-sum div-inv
1×log-div exp-diff diff-log rem-log-exp
Counts
4 → 116
Calls
4 calls:
Slowest
90.0ms
(log (exp (- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))))
33.0ms
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
8.0ms
(/ x0 (- 1 x1))
8.0ms
(/ x0 (- 1 x1))

series178.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
64.0ms
(log (exp (- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))))
62.0ms
(- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0))
27.0ms
(/ x0 (- 1 x1))
25.0ms
(/ x0 (- 1 x1))

simplify5.2s

Counts
119 → 128
Calls
119 calls:
Slowest
273.0ms
(log (exp (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1))))))
266.0ms
(log (exp (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1))))))
263.0ms
(log (exp (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1))))))
232.0ms
(cbrt (- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0)))
231.0ms
(sqrt (- (* (/ x0 (- 1 x1)) (* x0 (/ 1 (- 1 x1)))) (* x0 x0)))

prune705.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.0b

regimes69.0ms

Accuracy

0% (0.7b remaining)

Error of 4.6b against oracle of 3.9b and baseline of 4.6b

bsearch2.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
870.0ms4049×pre10240exit
358.0ms8000×body80valid
118.0ms3951×pre80true