Details

sample135.0ms

Algorithm

intervals

Results

65.0ms	103×	body	1280	valid
34.0ms	91×	body	640	valid
13.0ms	251×	body	80	nan
8.0ms	36×	body	320	valid
3.0ms	19×	body	160	valid
0.0ms	7×	body	80	valid

simplify47.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

47.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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×	`expm1-log1p-u` `flip3-+` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 98

Calls

2 calls:

Slowest

23.0ms	(/ (- 1 eps) (+ 1 eps))
12.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series112.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

86.0ms	(log (/ (- 1 eps) (+ 1 eps)))
25.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.3s

Counts

102 → 104

Calls

102 calls:

Slowest

487.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
262.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
255.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
235.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
221.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))

prune831.0ms

Pruning

4 alts after pruning (3 fresh and 1 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))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`associate-r`
7×	`associate-l`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `associate-*r/` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

3 → 75

Calls

3 calls:

Slowest

94.0ms	(* eps (- (* (* eps -2/3) eps) 2))
20.0ms	(* (* eps -2/3) eps)
7.0ms	(* eps -2/3)

series179.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

116.0ms	(* eps (- (* (* eps -2/3) eps) 2))
46.0ms	(* (* eps -2/3) eps)
16.0ms	(* eps -2/3)

simplify2.8s

Counts

48 → 84

Calls

48 calls:

Slowest

599.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
268.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
247.0ms	(+ (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (+ (* 2 2) (* (* (* eps -2/3) eps) 2)))
230.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
217.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))

prune780.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

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

rewrite110.0ms

Algorithm

rewrite-expression-head

Rules

19×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
5×	`associate-l`
3×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`unswap-sqr`

Counts

3 → 66

Calls

3 calls:

Slowest

68.0ms	(* (* (* eps -2/3) eps) eps)
29.0ms	(* (* eps -2/3) eps)
11.0ms	(* eps -2/3)

series145.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

61.0ms	(* (* (* eps -2/3) eps) eps)
55.0ms	(* (* eps -2/3) eps)
29.0ms	(* eps -2/3)

simplify2.6s

Counts

38 → 75

Calls

38 calls:

Slowest

666.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
393.0ms	(* (* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
323.0ms	(* (* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
302.0ms	(* (* (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* (* eps -2/3) eps)) (* (* eps eps) eps))
207.0ms	(* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps))

prune608.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite348.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`cbrt-prod` `add-sqr-sqrt` `pow1` `flip3--` `add-exp-log` `flip--`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube`
4×	`expm1-log1p-u` `frac-times` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 78

Calls

4 calls:

Slowest

253.0ms	(* eps (* (cbrt (- (* (* eps -2/3) eps) 2)) (cbrt (- (* (* eps -2/3) eps) 2))))
35.0ms	(cbrt (- (* (* eps -2/3) eps) 2))
29.0ms	(cbrt (- (* (* eps -2/3) eps) 2))
28.0ms	(cbrt (- (* (* eps -2/3) eps) 2))

series1.0s

Counts

4 → 12

Calls

4 calls:

Slowest

414.0ms	(* eps (* (cbrt (- (* (* eps -2/3) eps) 2)) (cbrt (- (* (* eps -2/3) eps) 2))))
232.0ms	(cbrt (- (* (* eps -2/3) eps) 2))
197.0ms	(cbrt (- (* (* eps -2/3) eps) 2))
196.0ms	(cbrt (- (* (* eps -2/3) eps) 2))

simplify8.5s

Counts

46 → 90

Calls

46 calls:

Slowest

548.0ms	(cbrt (- (pow (* (* eps -2/3) eps) 3) (pow 2 3)))
491.0ms	(* (* (* eps eps) eps) (* (- (* (* eps -2/3) eps) 2) (- (* (* eps -2/3) eps) 2)))
459.0ms	(- (+ (* (cbrt -1) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps))))))) (/ (* (cbrt -1) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps))))))) (pow eps 2))) (/ (* (cbrt -1) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps))))))) (pow eps 4)))
413.0ms	(- (+ (* (cbrt -1) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps))))))) (/ (* (cbrt -1) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps))))))) (pow eps 2))) (/ (* (cbrt -1) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps))))))) (pow eps 4)))
402.0ms	(- (+ (* (cbrt -1) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps))))))) (/ (* (cbrt -1) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps))))))) (pow eps 2))) (/ (* (cbrt -1) (exp (* 1/3 (- (log 2/3) (* 2 (log (/ -1 eps))))))) (pow eps 4)))

prune861.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample6.3s

Algorithm

intervals

Results

2.9s	3386×	body	1280	valid
1.8s	2513×	body	640	valid
711.0ms	8057×	body	80	nan
493.0ms	1243×	body	320	valid
126.0ms	658×	body	160	valid
18.0ms	200×	body	80	valid