Details

Time bar (total: 29.6s)

sample99.0ms

Algorithm
intervals
Results
57.0ms123×pre10240exit
18.0ms256×body80valid
7.0ms133×pre80true

simplify21.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
21.0ms
(- (/ x0 (- 1 x1)) x0)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize8.0ms

Local error

Found 2 expressions with local error:

7.6b
(- (/ x0 (- 1 x1)) x0)
0.8b
(/ x0 (- 1 x1))

rewrite62.0ms

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
40.0ms
(- (/ x0 (- 1 x1)) x0)
21.0ms
(/ x0 (- 1 x1))

series90.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
46.0ms
(- (/ x0 (- 1 x1)) x0)
43.0ms
(/ x0 (- 1 x1))

simplify2.6s

Counts
60 → 64
Calls
60 calls:
Slowest
371.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
357.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
333.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
152.0ms
(/ (* (* x0 x0) x0) (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
141.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune312.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.3b

localize37.0ms

Local error

Found 4 expressions with local error:

6.4b
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
0.8b
(/ x0 (- 1 x1))
0.8b
(/ x0 (- 1 x1))
0.8b
(/ x0 (- 1 x1))

rewrite54.0ms

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
16.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
16.0ms
(/ x0 (- 1 x1))
11.0ms
(/ x0 (- 1 x1))
8.0ms
(/ x0 (- 1 x1))

series195.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
79.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
45.0ms
(/ x0 (- 1 x1))
41.0ms
(/ x0 (- 1 x1))
29.0ms
(/ x0 (- 1 x1))

simplify6.3s

Counts
159 → 152
Calls
159 calls:
Slowest
411.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
407.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
387.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
347.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
342.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune791.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.2b

localize32.0ms

Local error

Found 4 expressions with local error:

6.4b
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
0.8b
(/ x0 (- 1 x1))
0.8b
(/ x0 (- 1 x1))
0.7b
(+ (/ x0 (- 1 x1)) x0)

rewrite105.0ms

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
49.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
37.0ms
(+ (/ x0 (- 1 x1)) x0)
9.0ms
(/ x0 (- 1 x1))
8.0ms
(/ x0 (- 1 x1))

series221.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
94.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
44.0ms
(/ x0 (- 1 x1))
44.0ms
(/ x0 (- 1 x1))
39.0ms
(+ (/ x0 (- 1 x1)) x0)

simplify5.3s

Counts
111 → 122
Calls
111 calls:
Slowest
467.0ms
(/ (exp (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1)))) (exp (* x0 x0)))
393.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
381.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
368.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
334.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune573.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.4b

localize53.0ms

Local error

Found 4 expressions with local error:

6.4b
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
4.1b
(log (exp (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))))
0.8b
(/ x0 (- 1 x1))
0.8b
(/ x0 (- 1 x1))

rewrite271.0ms

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
176.0ms
(log (exp (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))))
76.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
9.0ms
(/ x0 (- 1 x1))
8.0ms
(/ x0 (- 1 x1))

series250.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
104.0ms
(log (exp (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))))
64.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
43.0ms
(/ x0 (- 1 x1))
39.0ms
(/ x0 (- 1 x1))

simplify9.1s

Counts
119 → 128
Calls
119 calls:
Slowest
491.0ms
(sqrt (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0)))
441.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
440.0ms
(/ (exp (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1)))) (exp (* x0 x0)))
427.0ms
(cbrt (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0)))
377.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))

prune1.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.2b

regimes91.0ms

Accuracy

0% (0.7b remaining)

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

bsearch5.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.1s4072×pre10240exit
378.0ms8000×body80valid
152.0ms3928×pre80true