Details

Time bar (total: 1.9m)

sample151.0ms

Algorithm
intervals
Results
82.0ms111×body1280valid
34.0ms87×body640valid
13.0ms241×body80nan
7.0ms30×body320valid
3.0ms24×body160valid
0.0ms4×body80valid

simplify44.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
44.0ms
(log (/ (- 1 eps) (+ 1 eps)))

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize12.0ms

Local error

Found 2 expressions with local error:

5.8b
(log (/ (- 1 eps) (+ 1 eps)))
0.0b
(/ (- 1 eps) (+ 1 eps))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
78×*-un-lft-identity
52×add-sqr-sqrt
48×times-frac
30×log-prod
25×add-cube-cbrt
18×difference-of-squares
13×distribute-lft-out
9×distribute-lft-out--
7×add-exp-log
6×associate-/l*
4×associate-/r* add-cbrt-cube associate-/r/
3×pow1
2×flip3-+ div-exp rem-log-exp flip-+ insert-posit16 div-inv add-log-exp associate-/l/
1×cbrt-undiv log-div clear-num frac-2neg flip3-- div-sub log-pow flip--
Counts
2 → 94
Calls
2 calls:
Slowest
33.0ms
(/ (- 1 eps) (+ 1 eps))
6.0ms
(log (/ (- 1 eps) (+ 1 eps)))

series126.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
103.0ms
(log (/ (- 1 eps) (+ 1 eps)))
23.0ms
(/ (- 1 eps) (+ 1 eps))

simplify4.0s

Counts
102 → 100
Calls
102 calls:
Slowest
393.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
222.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
221.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
214.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
183.0ms
(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))

prune744.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 2/3 eps)
0.1b
(* (* 2/3 eps) eps)
0.1b
(* -2/5 (pow eps 5))
0.0b
(* (+ (* (* 2/3 eps) eps) 2) eps)

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×add-exp-log
16×associate-*r*
15×add-cbrt-cube
13×pow1
12×*-un-lft-identity add-cube-cbrt
10×associate-*l*
8×prod-exp
6×cbrt-unprod
5×pow-prod-down unswap-sqr
4×unpow-prod-down *-commutative insert-posit16 add-log-exp
2×associate-*l/ sqr-pow
1×pow-to-exp flip3-+ pow-exp flip-+
Counts
4 → 85
Calls
4 calls:
Slowest
57.0ms
(* (+ (* (* 2/3 eps) eps) 2) eps)
22.0ms
(* (* 2/3 eps) eps)
8.0ms
(* -2/5 (pow eps 5))
5.0ms
(* 2/3 eps)

series223.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
102.0ms
(* (+ (* (* 2/3 eps) eps) 2) eps)
70.0ms
(* -2/5 (pow eps 5))
27.0ms
(* (* 2/3 eps) eps)
23.0ms
(* 2/3 eps)

simplify3.7s

Counts
59 → 97
Calls
59 calls:
Slowest
535.0ms
(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))
404.0ms
(* (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)) eps)
343.0ms
(* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)
255.0ms
(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))
250.0ms
(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))

prune826.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b
(* 2/3 eps)
0.3b
(* 2/3 eps)
0.3b
(* 2/3 eps)
0.1b
(* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps))

rewrite121.0ms

Algorithm
rewrite-expression-head
Rules
124×pow1
69×pow-prod-down
46×add-cbrt-cube add-exp-log
30×prod-exp cbrt-unprod
16×add-sqr-sqrt
10×*-un-lft-identity associate-*r* associate-*l* add-cube-cbrt
9×pow-sqr pow-prod-up
4×*-commutative insert-posit16 add-log-exp
3×pow-plus unswap-sqr
1×pow2 swap-sqr
Counts
4 → 118
Calls
4 calls:
Slowest
101.0ms
(* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps))
8.0ms
(* 2/3 eps)
5.0ms
(* 2/3 eps)
5.0ms
(* 2/3 eps)

series104.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
45.0ms
(* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps))
26.0ms
(* 2/3 eps)
18.0ms
(* 2/3 eps)
15.0ms
(* 2/3 eps)

simplify5.4s

Counts
108 → 130
Calls
108 calls:
Slowest
367.0ms
(* (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)) (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)))
341.0ms
(* (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)))
331.0ms
(* (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)))
293.0ms
(* (* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps)) (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)))
281.0ms
(* (* (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* (* 2/3 eps) eps)) (* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps)))

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

5.8b
(log (/ (sqrt (- 1 eps)) (/ (+ 1 eps) (sqrt (- 1 eps)))))
0.0b
(sqrt (- 1 eps))
0.0b
(sqrt (- 1 eps))
0.0b
(/ (sqrt (- 1 eps)) (/ (+ 1 eps) (sqrt (- 1 eps))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
1440×times-frac
1350×*-un-lft-identity
1010×add-sqr-sqrt
978×sqrt-prod
519×add-cube-cbrt
383×log-prod
326×difference-of-squares
171×distribute-lft-out
163×distribute-lft-out--
44×sqrt-div
42×associate-/r*
40×associate-/r/
22×flip3-- flip--
21×div-inv
15×add-exp-log
9×add-cbrt-cube associate-/l*
7×pow1
6×div-exp
4×insert-posit16 add-log-exp
3×cbrt-undiv rem-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/l/
1×log-div clear-num frac-2neg log-pow
Counts
4 → 881
Calls
4 calls:
Slowest
27.0ms
(/ (sqrt (- 1 eps)) (/ (+ 1 eps) (sqrt (- 1 eps))))
12.0ms
(log (/ (sqrt (- 1 eps)) (/ (+ 1 eps) (sqrt (- 1 eps)))))
10.0ms
(sqrt (- 1 eps))
6.0ms
(sqrt (- 1 eps))

series210.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
105.0ms
(log (/ (sqrt (- 1 eps)) (/ (+ 1 eps) (sqrt (- 1 eps)))))
41.0ms
(sqrt (- 1 eps))
34.0ms
(sqrt (- 1 eps))
29.0ms
(/ (sqrt (- 1 eps)) (/ (+ 1 eps) (sqrt (- 1 eps))))

simplify1.4m

Counts
1232 → 893
Calls
1232 calls:
Slowest
722.0ms
(/ (* (* (sqrt (- 1 eps)) (sqrt (- 1 eps))) (sqrt (- 1 eps))) (* (* (/ (+ 1 eps) (sqrt (- 1 eps))) (/ (+ 1 eps) (sqrt (- 1 eps)))) (/ (+ 1 eps) (sqrt (- 1 eps)))))
578.0ms
(log (/ (sqrt (+ (sqrt 1) (sqrt eps))) (/ 1 (* (cbrt (sqrt (- 1 eps))) (cbrt (sqrt (- 1 eps)))))))
560.0ms
(log (/ (sqrt (+ (sqrt 1) (sqrt eps))) (/ (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps))) (sqrt (+ 1 (sqrt eps))))))
556.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
465.0ms
(log (/ (sqrt (+ (sqrt 1) (sqrt eps))) (/ (+ 1 eps) (sqrt (- (pow 1 3) (pow eps 3))))))

prune5.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch3.0ms

end0.0ms

sample6.1s

Algorithm
intervals
Results
2.9s3460×body1280valid
1.8s2484×body640valid
657.0ms7866×body80nan
427.0ms1241×body320valid
115.0ms615×body160valid
18.0ms200×body80valid