Details

sample142.0ms

Algorithm

intervals

Results

77.0ms	120×	body	1280	valid
29.0ms	79×	body	640	valid
14.0ms	257×	body	80	nan
7.0ms	31×	body	320	valid
3.0ms	19×	body	160	valid
0.0ms	7×	body	80	valid

simplify42.0ms

Calls

1 calls:

Slowest

41.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.5b

localize22.0ms

Local error

Found 2 expressions with local error:

6.0b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite13.0ms

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

7.0ms	(/ (- 1 eps) (+ 1 eps))
5.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series143.0ms

Calls

2 calls:

Slowest

104.0ms	(log (/ (- 1 eps) (+ 1 eps)))
38.0ms	(/ (- 1 eps) (+ 1 eps))

simplify2.5s

Calls

54 calls:

Slowest

301.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
220.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
190.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
177.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
136.0ms	(- (* 2 (/ 1 eps)) (+ (* 2 (/ 1 (pow eps 2))) 1))

prune877.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.4b	(* eps -2/3)
0.1b	(* eps (* eps -2/3))
0.0b	(* (pow eps 5) -2/5)
0.0b	(* eps (- 2 (* eps (* eps -2/3))))

rewrite8.0ms

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

3.0ms	(* (pow eps 5) -2/5)
2.0ms	(* eps (* eps -2/3))
2.0ms	(* eps (- 2 (* eps (* eps -2/3))))
1.0ms	(* eps -2/3)

series270.0ms

Calls

4 calls:

Slowest

137.0ms	(* eps (- 2 (* eps (* eps -2/3))))
65.0ms	(* (pow eps 5) -2/5)
47.0ms	(* eps (* eps -2/3))
21.0ms	(* eps -2/3)

simplify943.0ms

Calls

23 calls:

Slowest

263.0ms	(+ (* 2 2) (+ (* (* eps (* eps -2/3)) (* eps (* eps -2/3))) (* 2 (* eps (* eps -2/3)))))
86.0ms	(* (- (* eps (* eps -2/3))) eps)
80.0ms	(* (- (* eps (* eps -2/3))) eps)
69.0ms	(+ (* 2/3 (pow eps 3)) (* 2 eps))
58.0ms	(* eps (- (* eps (* eps -2/3))))

prune524.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.4b	(* eps 2/3)
0.1b	(* (* eps eps) (* eps 2/3))
0.0b	(* (pow eps 5) -2/5)
0.0b	(- (* (pow eps 5) -2/5) (+ (* 2 eps) (* (* eps eps) (* eps 2/3))))

rewrite30.0ms

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

15.0ms	(- (* (pow eps 5) -2/5) (+ (* 2 eps) (* (* eps eps) (* eps 2/3))))
8.0ms	(* (* eps eps) (* eps 2/3))
5.0ms	(* (pow eps 5) -2/5)
0.0ms	(* eps 2/3)

series267.0ms

Calls

4 calls:

Slowest

87.0ms	(- (* (pow eps 5) -2/5) (+ (* 2 eps) (* (* eps eps) (* eps 2/3))))
78.0ms	(* (* eps eps) (* eps 2/3))
74.0ms	(* (pow eps 5) -2/5)
27.0ms	(* eps 2/3)

simplify2.1s

Calls

20 calls:

Slowest

548.0ms	(* (* (* (* eps eps) (* eps eps)) (* eps eps)) (* (* (* eps 2/3) (* eps 2/3)) (* eps 2/3)))
336.0ms	(/ (exp (* (pow eps 5) -2/5)) (exp (+ (* 2 eps) (* (* eps eps) (* eps 2/3)))))
266.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
256.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
252.0ms	(/ (exp (* (pow eps 5) -2/5)) (* (exp (* 2 eps)) (exp (* (* eps eps) (* eps 2/3)))))

prune616.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

55×	`log-prod`
45×	`cbrt-prod`
37×	`times-frac`
35×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
28×	`cbrt-div`
22×	`add-exp-log`
14×	`flip3-+` `flip-+`
11×	`pow1`
10×	`associate-/r/`
8×	`frac-times`
7×	`rem-log-exp`
6×	`associate-r` `associate-l`
5×	`pow1/3` `div-exp` `prod-exp`
4×	`add-cbrt-cube` `associate-l/` `associate-r/` `insert-posit16` `add-log-exp`
2×	`log-div` `pow-prod-down` `log-pow` `pow-prod-up` `div-inv`
1×	`pow2` `pow-plus` `*-commutative` `cbrt-unprod`

Calls

4 calls:

Slowest

6.0ms	(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))))
6.0ms	(* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))
2.0ms	(log (/ (cbrt (- 1 eps)) (cbrt (+ 1 eps))))
1.0ms	(cbrt (+ 1 eps))

series944.0ms

Calls

4 calls:

Slowest

429.0ms	(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))))
400.0ms	(log (/ (cbrt (- 1 eps)) (cbrt (+ 1 eps))))
61.0ms	(* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))
53.0ms	(cbrt (+ 1 eps))

simplify7.1s

Calls

113 calls:

Slowest

373.0ms	(- (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ -1 eps))))) eps)) (exp (* 1/3 (- (log -1) (log (/ -1 eps)))))) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ -1 eps))))) (pow eps 2))))
270.0ms	(- (+ (* 4/3 (/ 1 eps)) (+ (* 4/15 (/ 1 (pow eps 5))) (* 4/9 (/ 1 (pow eps 3))))))
264.0ms	(- (+ (* 4/9 (pow eps 3)) (+ (* 4/15 (pow eps 5)) (* 4/3 eps))))
264.0ms	(- (+ (* 2/9 (pow eps 3)) (+ (* 2/15 (pow eps 5)) (* 2/3 eps))))
263.0ms	(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (- (* 1 1) (* eps eps))) (cbrt (+ 1 eps)))))

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes38.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample5.4s

Algorithm

intervals

Results

2.6s	3429×	body	1280	valid
1.2s	2544×	body	640	valid
741.0ms	1183×	body	320	valid
491.0ms	8010×	body	80	nan
110.0ms	642×	body	160	valid
16.0ms	202×	body	80	valid