Details

sample147.0ms

Algorithm

intervals

Results

77.0ms	111×	body	1280	valid
36.0ms	87×	body	640	valid
14.0ms	241×	body	80	nan
7.0ms	30×	body	320	valid
4.0ms	24×	body	160	valid
0.0ms	4×	body	80	valid

simplify450.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

450.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite49.0ms

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

32.0ms	(/ (- 1 eps) (+ 1 eps))
14.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series110.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

88.0ms	(log (/ (- 1 eps) (+ 1 eps)))
22.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.3s

Counts

102 → 104

Calls

102 calls:

Slowest

477.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
254.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
247.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
204.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
200.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))

prune929.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`pow1` `add-cbrt-cube` `add-exp-log`
11×	`*-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`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`sub-neg` `associate-*r/` `unswap-sqr`
1×	`flip3--` `fma-udef` `flip--`

Counts

4 → 86

Calls

4 calls:

Slowest

98.0ms	(* eps (- (* (* eps -2/3) eps) 2))
20.0ms	(* (* eps -2/3) eps)
6.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

153.0ms	(* eps (- (* (* eps -2/3) eps) 2))
82.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))
48.0ms	(* (* eps -2/3) eps)
17.0ms	(* eps -2/3)

simplify3.6s

Counts

51 → 98

Calls

51 calls:

Slowest

661.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
276.0ms	(+ (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (+ (* 2 2) (* (* (* eps -2/3) eps) 2)))
266.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
265.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
264.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))

prune865.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

Slowest

52.0ms	(* eps (* (* eps -2/3) eps))
29.0ms	(* (* eps -2/3) eps)
11.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps)))

series218.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

103.0ms	(fma (pow eps 5) -2/5 (+ (* eps (* (* eps -2/3) eps)) (* -2 eps)))
50.0ms	(* (* eps -2/3) eps)
40.0ms	(* eps (* (* eps -2/3) eps))
25.0ms	(* eps -2/3)

simplify3.5s

Counts

40 → 89

Calls

40 calls:

Slowest

592.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
537.0ms	(* (* (* eps eps) eps) (* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps)))
446.0ms	(* (* (* eps eps) eps) (* (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* (* eps -2/3) eps)))
290.0ms	(* (* (* eps eps) eps) (* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps)))
276.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))

prune914.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

1440×	`times-frac`
1350×	`*-un-lft-identity`
1010×	`add-sqr-sqrt`
978×	`sqrt-prod`
519×	`add-cube-cbrt`
383×	`log-prod`
326×	`difference-of-squares`
171×	`distribute-lft-out`
163×	`distribute-lft-out--`
44×	`sqrt-div`
42×	`associate-/r*`
40×	`associate-/r/`
22×	`flip3--` `flip--`
21×	`div-inv`
15×	`add-exp-log`
9×	`add-cbrt-cube` `associate-/l*`
7×	`pow1`
6×	`div-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `rem-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-/l/`
1×	`log-div` `clear-num` `frac-2neg` `log-pow`

Counts

4 → 889

Calls

4 calls:

Slowest

41.0ms	(/ (sqrt (- 1 eps)) (/ (+ 1 eps) (sqrt (- 1 eps))))
24.0ms	(log (/ (sqrt (- 1 eps)) (/ (+ 1 eps) (sqrt (- 1 eps)))))
20.0ms	(sqrt (- 1 eps))
14.0ms	(sqrt (- 1 eps))

series191.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

100.0ms	(log (/ (sqrt (- 1 eps)) (/ (+ 1 eps) (sqrt (- 1 eps)))))
34.0ms	(sqrt (- 1 eps))
33.0ms	(sqrt (- 1 eps))
23.0ms	(/ (sqrt (- 1 eps)) (/ (+ 1 eps) (sqrt (- 1 eps))))

simplify1.4m

Counts

1232 → 901

Calls

1232 calls:

Slowest

769.0ms	(log (/ (sqrt 1) (/ (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps))) (* (cbrt (sqrt (- 1 eps))) (cbrt (sqrt (- 1 eps)))))))
702.0ms	(/ (* (* (sqrt (- 1 eps)) (sqrt (- 1 eps))) (sqrt (- 1 eps))) (* (* (/ (+ 1 eps) (sqrt (- 1 eps))) (/ (+ 1 eps) (sqrt (- 1 eps)))) (/ (+ 1 eps) (sqrt (- 1 eps)))))
475.0ms	(/ (sqrt 1) (/ (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps))) 1))
436.0ms	(log (/ (sqrt (+ (sqrt 1) (sqrt eps))) (/ (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps))) (sqrt (+ 1 (sqrt eps))))))
420.0ms	(log (/ (sqrt 1) (/ (+ 1 eps) (sqrt (- (pow 1 3) (pow eps 3))))))

prune5.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes18.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.1s	3460×	body	1280	valid
1.3s	2484×	body	640	valid
838.0ms	1241×	body	320	valid
624.0ms	7866×	body	80	nan
153.0ms	615×	body	160	valid
17.0ms	200×	body	80	valid