Details

Time bar (total: 43.6s)

sample174.0ms

Algorithm
intervals
Results
77.0ms90×body1280valid
44.0ms84×body640valid
17.0ms50×body320valid
17.0ms233×body80nan
6.0ms29×body160valid
0.0ms3×body80valid

simplify49.0ms

Calls
1 calls:
Slowest
49.0ms
(log (/ (- 1 eps) (+ 1 eps)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize10.0ms

Local error

Found 2 expressions with local error:

7.4b
(log (/ (- 1 eps) (+ 1 eps)))
0.0b
(/ (- 1 eps) (+ 1 eps))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
88×*-un-lft-identity
57×add-sqr-sqrt
48×times-frac
30×log-prod
27×add-cube-cbrt
20×difference-of-squares
15×log-div
14×distribute-lft-out associate-/l*
11×distribute-lft-out--
8×associate-/r*
7×add-exp-log
4×add-cbrt-cube associate-/r/ associate-/l/
3×pow1 clear-num log-rec
2×expm1-log1p-u frac-2neg flip3-+ flip3-- div-exp rem-log-exp flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
1×cbrt-undiv div-sub log-pow
Calls
2 calls:
Slowest
21.0ms
(log (/ (- 1 eps) (+ 1 eps)))
21.0ms
(/ (- 1 eps) (+ 1 eps))

series130.0ms

Calls
2 calls:
Slowest
102.0ms
(log (/ (- 1 eps) (+ 1 eps)))
28.0ms
(/ (- 1 eps) (+ 1 eps))

simplify4.6s

Calls
119 calls:
Slowest
467.0ms
(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
262.0ms
(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
242.0ms
(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
240.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
216.0ms
(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))

prune972.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite328.0ms

Algorithm
rewrite-expression-head
Rules
147×add-sqr-sqrt
132×prod-diff
114×associate-*l*
91×*-un-lft-identity
85×add-cube-cbrt
68×distribute-rgt-in distribute-lft-in
54×associate-*r*
33×unswap-sqr
16×*-commutative
12×pow1 add-cbrt-cube add-exp-log
5×pow-prod-down prod-exp cbrt-unprod
3×expm1-log1p-u insert-posit16 log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
2×sub-neg associate-*r/
1×flip3-- flip--
Calls
3 calls:
Slowest
275.0ms
(* eps (- (* (* eps -2/3) eps) 2))
37.0ms
(* (* eps -2/3) eps)
11.0ms
(* eps -2/3)

series235.0ms

Calls
3 calls:
Slowest
169.0ms
(* eps (- (* (* eps -2/3) eps) 2))
50.0ms
(* (* eps -2/3) eps)
16.0ms
(* eps -2/3)

simplify7.2s

Calls
192 calls:
Slowest
537.0ms
(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
304.0ms
(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
269.0ms
(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
245.0ms
(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
237.0ms
(+ (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (+ (* 2 2) (* (* (* eps -2/3) eps) 2)))

prune1.7s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.4s

Algorithm
rewrite-expression-head
Rules
114×sqrt-prod
111×add-sqr-sqrt
98×*-un-lft-identity
93×associate-*r*
86×associate-*l*
62×pow1
37×swap-sqr unswap-sqr
30×distribute-lft-out--
28×sqrt-pow1 add-cube-cbrt
25×pow-prod-down
15×add-cbrt-cube add-exp-log
14×associate-*r/
12×sqrt-div difference-of-squares
10×pow1/2 pow-prod-up
9×*-commutative
6×flip3-- prod-exp pow-sqr cbrt-unprod flip--
4×expm1-log1p-u frac-times insert-posit16 log1p-expm1-u add-log-exp
2×associate-*l/
1×pow2 rem-square-sqrt pow-plus sqrt-unprod
Calls
4 calls:
Slowest
1.4s
(* (sqrt (* eps (- (* (* eps -2/3) eps) 2))) (sqrt (* eps (- (* (* eps -2/3) eps) 2))))
18.0ms
(* (* eps -2/3) eps)
10.0ms
(* eps -2/3)
5.0ms
(* eps -2/3)

series204.0ms

Calls
4 calls:
Slowest
99.0ms
(* (sqrt (* eps (- (* (* eps -2/3) eps) 2))) (sqrt (* eps (- (* (* eps -2/3) eps) 2))))
48.0ms
(* (* eps -2/3) eps)
32.0ms
(* eps -2/3)
26.0ms
(* eps -2/3)

simplify12.0s

Calls
242 calls:
Slowest
620.0ms
(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
487.0ms
(* (sqrt (* eps (- (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* 2 2)))) (sqrt (* eps (- (* (* eps -2/3) eps) 2))))
482.0ms
(* (sqrt (* eps (- (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* 2 2)))) (sqrt (* eps (- (pow (* (* eps -2/3) eps) 3) (pow 2 3)))))
435.0ms
(* (sqrt (* eps (- (pow (* (* eps -2/3) eps) 3) (pow 2 3)))) (sqrt (* eps (- (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* 2 2)))))
402.0ms
(* (* (* (sqrt (* eps (- (* (* eps -2/3) eps) 2))) (sqrt (* eps (- (* (* eps -2/3) eps) 2)))) (sqrt (* eps (- (* (* eps -2/3) eps) 2)))) (* (* (sqrt (* eps (- (* (* eps -2/3) eps) 2))) (sqrt (* eps (- (* (* eps -2/3) eps) 2)))) (sqrt (* eps (- (* (* eps -2/3) eps) 2)))))

prune2.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

7.4b
(log (/ (+ 1 eps) (- 1 eps)))
0.0b
(/ (+ 1 eps) (- 1 eps))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
88×*-un-lft-identity
57×add-sqr-sqrt
48×times-frac
30×log-prod
27×add-cube-cbrt
20×difference-of-squares
15×log-div distribute-lft-out
12×associate-/r*
10×associate-/l* distribute-lft-out--
7×add-exp-log
4×add-cbrt-cube associate-/r/ associate-/l/
3×pow1 clear-num log-rec
2×expm1-log1p-u frac-2neg flip3-+ flip3-- div-exp rem-log-exp flip-+ insert-posit16 log1p-expm1-u div-inv flip-- add-log-exp
1×cbrt-undiv log-pow
Calls
2 calls:
Slowest
26.0ms
(/ (+ 1 eps) (- 1 eps))
15.0ms
(log (/ (+ 1 eps) (- 1 eps)))

series97.0ms

Calls
2 calls:
Slowest
74.0ms
(log (/ (+ 1 eps) (- 1 eps)))
23.0ms
(/ (+ 1 eps) (- 1 eps))

simplify5.4s

Calls
118 calls:
Slowest
770.0ms
(+ (* 2 (/ 1 eps)) (+ (* 2/3 (/ 1 (pow eps 3))) (log -1)))
436.0ms
(/ (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)) (* (* (- 1 eps) (- 1 eps)) (- 1 eps)))
393.0ms
(+ (* 2 (/ 1 eps)) (+ (* 2/3 (/ 1 (pow eps 3))) (log -1)))
383.0ms
(+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))
343.0ms
(log (/ (+ 1 eps) (- (pow 1 3) (pow eps 3))))

prune555.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch3.0ms

end0.0ms

sample5.9s

Algorithm
intervals
Results
2.8s3420×body1280valid
1.6s2476×body640valid
712.0ms8247×body80nan
415.0ms1208×body320valid
119.0ms667×body160valid
19.0ms229×body80valid