Details

sample192.0ms

Algorithm

intervals

Results

114.0ms	132×	body	1280	valid
29.0ms	56×	body	640	valid
19.0ms	259×	body	80	nan
13.0ms	38×	body	320	valid
4.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify58.0ms

Calls

1 calls:

Slowest

58.0ms

(log (/ (- 1 eps) (+ 1 eps)))

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.9b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac`
17×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
15×	`log-prod`
7×	`add-exp-log`
4×	`add-cbrt-cube` `associate-/r/`
3×	`pow1` `associate-/r` `associate-/l`
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--`

Calls

2 calls:

Slowest

3.0ms	(/ (- 1 eps) (+ 1 eps))
2.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series139.0ms

Calls

2 calls:

Slowest

105.0ms	(log (/ (- 1 eps) (+ 1 eps)))
34.0ms	(/ (- 1 eps) (+ 1 eps))

simplify2.6s

Calls

54 calls:

Slowest

386.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
238.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
203.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
180.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
144.0ms	(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))))

prune532.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `associate-r` `add-exp-log` `*-commutative` `insert-posit16` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*r/`
1×	`flip3--` `flip--`

Calls

4 calls:

Slowest

5.0ms	(* (pow eps 5) -2/5)
4.0ms	(* eps (- 2 (* eps (* eps -2/3))))
2.0ms	(* eps (* eps -2/3))
1.0ms	(* eps -2/3)

series283.0ms

Calls

4 calls:

Slowest

134.0ms	(* eps (- 2 (* eps (* eps -2/3))))
71.0ms	(* (pow eps 5) -2/5)
50.0ms	(* eps (* eps -2/3))
28.0ms	(* eps -2/3)

simplify998.0ms

Calls

23 calls:

Slowest

273.0ms	(+ (* 2 2) (+ (* (* eps (* eps -2/3)) (* eps (* eps -2/3))) (* 2 (* eps (* eps -2/3)))))
108.0ms	(* (- (* eps (* eps -2/3))) eps)
107.0ms	(* (- (* eps (* eps -2/3))) eps)
70.0ms	(+ (* 2/3 (pow eps 3)) (* 2 eps))
69.0ms	(* eps (- (* eps (* eps -2/3))))

prune492.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `insert-posit16`
3×	`*-commutative`
2×	`diff-log`
1×	`sum-log` `sub-neg` `flip3--` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip--` `associate--r+`

Calls

4 calls:

Slowest

14.0ms	(- (* (pow eps 5) -2/5) (+ (* 2 eps) (* (* eps eps) (* eps 2/3))))
8.0ms	(* (* eps eps) (* eps 2/3))
4.0ms	(* (pow eps 5) -2/5)
0.0ms	(* eps 2/3)

series230.0ms

Calls

4 calls:

Slowest

77.0ms	(* (pow eps 5) -2/5)
72.0ms	(- (* (pow eps 5) -2/5) (+ (* 2 eps) (* (* eps eps) (* eps 2/3))))
60.0ms	(* (* eps eps) (* eps 2/3))
20.0ms	(* eps 2/3)

simplify1.9s

Calls

20 calls:

Slowest

474.0ms	(* (* (* (* eps eps) (* eps eps)) (* eps eps)) (* (* (* eps 2/3) (* eps 2/3)) (* eps 2/3)))
344.0ms	(/ (exp (* (pow eps 5) -2/5)) (exp (+ (* 2 eps) (* (* eps eps) (* eps 2/3)))))
257.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
241.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
232.0ms	(/ (exp (* (pow eps 5) -2/5)) (* (exp (* 2 eps)) (exp (* (* eps eps) (* eps 2/3)))))

prune634.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `pow1` `-un-lft-identity` `add-cbrt-cube` `add-exp-log` `-commutative` `add-cube-cbrt` `insert-posit16` `add-log-exp`

Calls

4 calls:

Slowest

1.0ms	(* eps -2/3)
0.0ms	(* eps -2/3)
0.0ms	(* eps -2/3)
0.0ms	(* eps -2/3)

series111.0ms

Calls

4 calls:

Slowest

32.0ms	(* eps -2/3)
27.0ms	(* eps -2/3)
26.0ms	(* eps -2/3)
26.0ms	(* eps -2/3)

simplify53.0ms

Calls

12 calls:

Slowest

7.0ms	(* -2/3 eps)
6.0ms	(* -2/3 eps)
5.0ms	(* -2/3 eps)
5.0ms	(* -2/3 eps)
5.0ms	(* -2/3 eps)

prune688.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample5.7s

Algorithm

intervals

Results

3.1s	3506×	body	1280	valid
1.2s	2379×	body	640	valid
531.0ms	8107×	body	80	nan
416.0ms	1312×	body	320	valid
172.0ms	606×	body	160	valid
15.0ms	197×	body	80	valid