Details

Time bar (total: 20.3s)

sample67.0ms

Algorithm
intervals
Results
31.0ms124×pre10240exit
18.0ms256×body80valid
5.0ms132×pre80true

simplify18.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
18.0ms
(- (/ x0 (- 1 x1)) x0)

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.4b

localize8.0ms

Local error

Found 2 expressions with local error:

7.9b
(- (/ 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
42.0ms
(- (/ x0 (- 1 x1)) x0)
20.0ms
(/ x0 (- 1 x1))

series92.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
49.0ms
(- (/ x0 (- 1 x1)) x0)
43.0ms
(/ x0 (- 1 x1))

simplify2.0s

Counts
60 → 64
Calls
60 calls:
Slowest
259.0ms
(+ (* x0 (pow x1 3)) (+ (* x0 (pow x1 2)) (* x0 x1)))
257.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
240.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
147.0ms
(/ (* (* x0 x0) x0) (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
94.0ms
(- (+ x0 (+ (/ x0 x1) (/ x0 (pow x1 2)))))

prune260.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 7.5b

localize38.0ms

Local error

Found 4 expressions with local error:

6.5b
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
0.8b
(/ x0 (- 1 x1))
0.8b
(/ x0 (- 1 x1))
0.8b
(/ x0 (- 1 x1))

rewrite61.0ms

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
30.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
11.0ms
(/ x0 (- 1 x1))
11.0ms
(/ x0 (- 1 x1))
8.0ms
(/ x0 (- 1 x1))

series155.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
71.0ms
(- (* (/ x0 (- 1 x1)) (/ x0 (- 1 x1))) (* x0 x0))
29.0ms
(/ x0 (- 1 x1))
28.0ms
(/ x0 (- 1 x1))
26.0ms
(/ x0 (- 1 x1))

simplify4.5s

Counts
159 → 152
Calls
159 calls:
Slowest
466.0ms
(/ (* (* x0 x0) x0) (* (* (- 1 x1) (- 1 x1)) (- 1 x1)))
213.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
209.0ms
(+ (* 2 (* (pow x0 2) x1)) (+ (* 4 (* (pow x0 2) (pow x1 3))) (* 3 (* (pow x0 2) (pow x1 2)))))
206.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
205.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune553.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 5.5b

localize24.0ms

Local error

Found 4 expressions with local error:

6.5b
(- (* (* 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)

rewrite84.0ms

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
41.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
23.0ms
(+ (/ x0 (- 1 x1)) x0)
9.0ms
(/ x0 (- 1 x1))
8.0ms
(/ x0 (- 1 x1))

series154.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
63.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
33.0ms
(+ (/ x0 (- 1 x1)) x0)
31.0ms
(/ x0 (- 1 x1))
27.0ms
(/ x0 (- 1 x1))

simplify3.2s

Counts
111 → 122
Calls
111 calls:
Slowest
292.0ms
(/ (exp (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1)))) (exp (* x0 x0)))
215.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
210.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
207.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))
207.0ms
(- (+ (/ x0 (pow x1 3)) (+ (/ x0 (pow x1 2)) (/ x0 x1))))

prune408.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 4.5b

localize32.0ms

Local error

Found 4 expressions with local error:

6.5b
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
4.2b
(log (exp (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))))
0.8b
(/ x0 (- 1 x1))
0.8b
(/ x0 (- 1 x1))

rewrite166.0ms

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
107.0ms
(log (exp (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))))
42.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
8.0ms
(/ x0 (- 1 x1))
8.0ms
(/ x0 (- 1 x1))

series191.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
68.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
63.0ms
(log (exp (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))))
34.0ms
(/ x0 (- 1 x1))
26.0ms
(/ x0 (- 1 x1))

simplify5.6s

Counts
119 → 128
Calls
119 calls:
Slowest
290.0ms
(/ (exp (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1)))) (exp (* x0 x0)))
266.0ms
(- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))
252.0ms
(cbrt (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0)))
248.0ms
(sqrt (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0)))
236.0ms
(log (* (cbrt (exp (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0)))) (cbrt (exp (- (* (* x0 (/ 1 (- 1 x1))) (/ x0 (- 1 x1))) (* x0 x0))))))

prune745.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 4.3b

regimes74.0ms

Accuracy

0% (0.7b remaining)

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

bsearch2.0ms

end0.0ms

sample1.8s

Algorithm
intervals
Results
868.0ms4073×pre10240exit
623.0ms8000×body80valid
151.0ms3927×pre80true