Details

sample168.0ms

Algorithm

intervals

Results

77.0ms	98×	body	1280	valid
40.0ms	83×	body	640	valid
18.0ms	268×	body	80	nan
13.0ms	42×	body	320	valid
4.0ms	22×	body	160	valid
1.0ms	11×	body	80	valid

simplify46.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

46.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize42.0ms

Local error

Found 2 expressions with local error:

5.9b	(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)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

125.0ms	(log (/ (- 1 eps) (+ 1 eps)))
33.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.3s

Counts

102 → 104

Calls

102 calls:

Slowest

467.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
265.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
261.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
229.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
222.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))

prune893.0ms

Pruning

4 alts after pruning (4 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 -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)))

rewrite114.0ms

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

86.0ms	(* eps (- (* (* eps -2/3) eps) 2))
16.0ms	(* (* eps -2/3) eps)
11.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))

series259.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

108.0ms	(* eps (- (* (* eps -2/3) eps) 2))
100.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))
30.0ms	(* (* eps -2/3) eps)
21.0ms	(* eps -2/3)

simplify4.2s

Counts

51 → 98

Calls

51 calls:

Slowest

794.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
352.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
327.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
320.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
287.0ms	(+ (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (+ (* 2 2) (* (* (* eps -2/3) eps) 2)))

prune838.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite127.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`associate-r`
8×	`*-un-lft-identity` `add-cube-cbrt`
5×	`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

81.0ms	(* (* (* eps -2/3) eps) eps)
28.0ms	(* (* eps -2/3) eps)
15.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (+ (* (* (* eps -2/3) eps) eps) (* -2 eps)))

series229.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

90.0ms	(fma (pow eps 5) -2/5 (+ (* (* (* eps -2/3) eps) eps) (* -2 eps)))
63.0ms	(* (* (* eps -2/3) eps) eps)
46.0ms	(* (* eps -2/3) eps)
30.0ms	(* eps -2/3)

simplify4.1s

Counts

41 → 89

Calls

41 calls:

Slowest

720.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
630.0ms	(* (* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
442.0ms	(* (* (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* (* eps -2/3) eps)) (* (* eps eps) eps))
440.0ms	(* (* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
277.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))

prune904.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

5.9b	(log (log (exp (/ (- 1 eps) (+ 1 eps)))))
0.0b	(/ (- 1 eps) (+ 1 eps))
0.0b	(exp (/ (- 1 eps) (+ 1 eps)))
0.0b	(log (exp (/ (- 1 eps) (+ 1 eps))))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

152×	`*-un-lft-identity`
102×	`add-sqr-sqrt`
96×	`times-frac`
90×	`exp-prod`
63×	`log-pow`
51×	`add-cube-cbrt`
37×	`log-prod`
34×	`difference-of-squares`
25×	`distribute-lft-out`
17×	`distribute-lft-out--`
8×	`associate-/r/`
7×	`pow1` `add-exp-log`
6×	`add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`expm1-log1p-u` `associate-/r*` `flip3-+` `flip-+` `insert-posit16` `log1p-expm1-u` `div-inv`
3×	`div-sub`
2×	`exp-diff` `rem-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-exp` `flip--` `rem-exp-log`

Counts

4 → 188

Calls

4 calls:

Slowest

46.0ms	(log (log (exp (/ (- 1 eps) (+ 1 eps)))))
36.0ms	(exp (/ (- 1 eps) (+ 1 eps)))
31.0ms	(/ (- 1 eps) (+ 1 eps))
21.0ms	(log (exp (/ (- 1 eps) (+ 1 eps))))

series230.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

101.0ms	(log (log (exp (/ (- 1 eps) (+ 1 eps)))))
63.0ms	(exp (/ (- 1 eps) (+ 1 eps)))
39.0ms	(log (exp (/ (- 1 eps) (+ 1 eps))))
27.0ms	(/ (- 1 eps) (+ 1 eps))

simplify7.9s

Counts

177 → 200

Calls

177 calls:

Slowest

409.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
393.0ms	(- (+ (* 4 (* E (pow eps 2))) E) (* 2 (* E eps)))
230.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
223.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
214.0ms	(exp (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))

prune1.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.0s	3429×	body	1280	valid
1.7s	2455×	body	640	valid
619.0ms	8098×	body	80	nan
429.0ms	1265×	body	320	valid
117.0ms	643×	body	160	valid
18.0ms	208×	body	80	valid