Details

sample175.0ms

Algorithm

intervals

Results

91.0ms	103×	body	1280	valid
40.0ms	91×	body	640	valid
17.0ms	251×	body	80	nan
10.0ms	36×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	7×	body	80	valid

simplify37.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

37.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize10.0ms

Local error

Found 2 expressions with local error:

5.7b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite36.0ms

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

22.0ms	(/ (- 1 eps) (+ 1 eps))
6.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series129.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

97.0ms	(log (/ (- 1 eps) (+ 1 eps)))
32.0ms	(/ (- 1 eps) (+ 1 eps))

simplify3.9s

Counts

102 → 100

Calls

102 calls:

Slowest

378.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
279.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
213.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
187.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
162.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))

prune851.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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)

rewrite94.0ms

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

58.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
17.0ms	(* (* 2/3 eps) eps)
9.0ms	(* 2/3 eps)
8.0ms	(* -2/5 (pow eps 5))

series267.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

132.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
72.0ms	(* -2/5 (pow eps 5))
33.0ms	(* 2/3 eps)
29.0ms	(* (* 2/3 eps) eps)

simplify3.8s

Counts

59 → 97

Calls

59 calls:

Slowest

797.0ms	(* (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)) eps)
345.0ms	(* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)
258.0ms	(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))
255.0ms	(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))
208.0ms	(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))

prune774.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

3.1b	(log (exp (* (* 2/3 eps) eps)))
0.3b	(* 2/3 eps)
0.1b	(* (* 2/3 eps) eps)
0.1b	(* -2/5 (pow eps 5))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`add-exp-log`
13×	`add-cbrt-cube` `associate-r`
12×	`pow1`
11×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-l` `prod-exp`
5×	`cbrt-unprod` `add-log-exp`
4×	`unpow-prod-down` `pow-prod-down` `insert-posit16` `unswap-sqr`
3×	`log-prod` `log-pow` `*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `exp-prod` `exp-to-pow` `rem-log-exp` `pow-exp`

Counts

4 → 79

Calls

4 calls:

Slowest

15.0ms	(* (* 2/3 eps) eps)
10.0ms	(* 2/3 eps)
8.0ms	(* -2/5 (pow eps 5))
6.0ms	(log (exp (* (* 2/3 eps) eps)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

56.0ms	(* -2/5 (pow eps 5))
40.0ms	(* (* 2/3 eps) eps)
31.0ms	(log (exp (* (* 2/3 eps) eps)))
27.0ms	(* 2/3 eps)

simplify2.3s

Counts

52 → 91

Calls

52 calls:

Slowest

278.0ms	(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))
225.0ms	(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))
225.0ms	(* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps))
216.0ms	(log (* (cbrt (exp (* (* 2/3 eps) eps))) (cbrt (exp (* (* 2/3 eps) eps)))))
214.0ms	(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (* (* 2/3 eps) eps) 2))
1.0b	(cbrt (+ (* (* 2/3 eps) eps) 2))
1.0b	(cbrt (+ (* (* 2/3 eps) eps) 2))
0.4b	(* (* (cbrt (+ (* (* 2/3 eps) eps) 2)) (cbrt (+ (* (* 2/3 eps) eps) 2))) (* (cbrt (+ (* (* 2/3 eps) eps) 2)) eps))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
32×	`associate-*l/`
30×	`flip3-+` `flip-+`
28×	`frac-times`
16×	`pow1` `add-exp-log`
10×	`add-cbrt-cube`
9×	`cbrt-prod`
8×	`pow-prod-down` `prod-exp` `associate-*r/` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`insert-posit16` `add-log-exp`
3×	`pow1/3`
1×	`associate-r` `associate-l` `*-commutative`

Counts

4 → 91

Calls

4 calls:

Slowest

231.0ms	(* (* (cbrt (+ (* (* 2/3 eps) eps) 2)) (cbrt (+ (* (* 2/3 eps) eps) 2))) (* (cbrt (+ (* (* 2/3 eps) eps) 2)) eps))
22.0ms	(cbrt (+ (* (* 2/3 eps) eps) 2))
17.0ms	(cbrt (+ (* (* 2/3 eps) eps) 2))
10.0ms	(cbrt (+ (* (* 2/3 eps) eps) 2))

series697.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

197.0ms	(cbrt (+ (* (* 2/3 eps) eps) 2))
182.0ms	(cbrt (+ (* (* 2/3 eps) eps) 2))
173.0ms	(cbrt (+ (* (* 2/3 eps) eps) 2))
145.0ms	(* (* (cbrt (+ (* (* 2/3 eps) eps) 2)) (cbrt (+ (* (* 2/3 eps) eps) 2))) (* (cbrt (+ (* (* 2/3 eps) eps) 2)) eps))

simplify20.8s

Counts

82 → 103

Calls

82 calls:

Slowest

899.0ms	(- (+ (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps)))))) (pow eps 2)) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps))))))) (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps)))))) (pow eps 4)))
443.0ms	(- (+ (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps)))))) (pow eps 2)) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps))))))) (/ (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps)))))) (pow eps 4)))
423.0ms	(* (* (cbrt (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2))) (cbrt (+ (* (* 2/3 eps) eps) 2))) (* (cbrt (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3))) eps))
419.0ms	(* (* (cbrt (- (* (* 2/3 eps) eps) 2)) (cbrt (+ (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (- (* 2 2) (* (* (* 2/3 eps) eps) 2))))) (cbrt (+ (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (- (* 2 2) (* (* (* 2/3 eps) eps) 2)))))
415.0ms	(- (+ (* 1/9 (* (pow eps 2) (pow 2 1/3))) (pow 2 1/3)) (* 1/81 (* (pow eps 4) (pow 2 1/3))))

prune1.1s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes121.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample5.8s

Algorithm

intervals

Results

2.7s	3386×	body	1280	valid
1.7s	2513×	body	640	valid
651.0ms	8057×	body	80	nan
382.0ms	1243×	body	320	valid
116.0ms	658×	body	160	valid
16.0ms	200×	body	80	valid