Details

sample198.0ms

Algorithm

intervals

Results

98.0ms	108×	body	1280	valid
52.0ms	88×	body	640	valid
17.0ms	228×	body	80	nan
12.0ms	34×	body	320	valid
5.0ms	20×	body	160	valid
1.0ms	6×	body	80	valid

simplify46.0ms

Calls

1 calls:

Slowest

45.0ms

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.7b

localize20.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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--`

Calls

2 calls:

Slowest

40.0ms	(log (/ (- 1 eps) (+ 1 eps)))
16.0ms	(/ (- 1 eps) (+ 1 eps))

series136.0ms

Calls

2 calls:

Slowest

99.0ms	(log (/ (- 1 eps) (+ 1 eps)))
38.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.1s

Calls

102 calls:

Slowest

451.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
251.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
226.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
225.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
222.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))

prune780.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite93.0ms

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--`

Calls

4 calls:

Slowest

73.0ms	(* eps (- (* (* eps -2/3) eps) 2))
14.0ms	(* (* eps -2/3) eps)
5.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))

series322.0ms

Calls

4 calls:

Slowest

150.0ms	(* eps (- (* (* eps -2/3) eps) 2))
110.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))
47.0ms	(* (* eps -2/3) eps)
16.0ms	(* eps -2/3)

simplify3.4s

Calls

51 calls:

Slowest

599.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
271.0ms	(+ (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (+ (* 2 2) (* (* (* eps -2/3) eps) 2)))
271.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
236.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
226.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))

prune865.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

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	(+ (* (* (* eps -2/3) eps) eps) (* -2 eps))

rewrite144.0ms

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`
6×	`add-log-exp`
5×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`*-commutative`
1×	`+-commutative` `sum-log` `fma-def` `flip3-+` `distribute-rgt-out` `flip-+` `unswap-sqr`

Calls

4 calls:

Slowest

67.0ms	(+ (* (* (* eps -2/3) eps) eps) (* -2 eps))
52.0ms	(* (* (* eps -2/3) eps) eps)
14.0ms	(* (* eps -2/3) eps)
9.0ms	(* eps -2/3)

series295.0ms

Calls

4 calls:

Slowest

174.0ms	(+ (* (* (* eps -2/3) eps) eps) (* -2 eps))
50.0ms	(* (* (* eps -2/3) eps) eps)
45.0ms	(* (* eps -2/3) eps)
26.0ms	(* eps -2/3)

simplify3.6s

Calls

44 calls:

Slowest

572.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
404.0ms	(* (* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
396.0ms	(* (* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
320.0ms	(* (* (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* (* eps -2/3) eps)) (* (* eps eps) eps))
302.0ms	(* (exp (* (* (* eps -2/3) eps) eps)) (exp (* -2 eps)))

prune867.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`log-prod`
18×	`pow1`
16×	`prod-diff` `add-cube-cbrt`
15×	`log-pow`
8×	`log-div`
6×	`associate--l+` `distribute-lft-out--`
5×	`add-exp-log` `difference-of-squares`
4×	`fma-neg` `associate--r+`
3×	`expm1-log1p-u` `log1p-def` `flip3--` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
2×	`associate--l-` `sub-neg` `flip3-+` `rem-log-exp` `flip-+` `distribute-lft-out` `associate--r-`
1×	`diff-log`

Calls

3 calls:

Slowest

15.0ms	(- (log (- 1 eps)) (log (+ 1 eps)))
5.0ms	(log (- 1 eps))
4.0ms	(log (+ 1 eps))

series217.0ms

Calls

3 calls:

Slowest

156.0ms	(- (log (- 1 eps)) (log (+ 1 eps)))
31.0ms	(log (- 1 eps))
30.0ms	(log (+ 1 eps))

simplify5.6s

Calls

82 calls:

Slowest

433.0ms	(fma (* (cbrt (log (- 1 eps))) (cbrt (log (- 1 eps)))) (cbrt (log (- 1 eps))) (- (* (log (+ 1 eps)) 1)))
386.0ms	(- (+ (/ 1 eps) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ -1 eps)))))
342.0ms	(- (+ (/ 1 eps) (log -1)) (+ (* 1/2 (/ 1 (pow eps 2))) (log (/ -1 eps))))
297.0ms	(- (+ (* 1/3 (pow eps 3)) eps) (* 1/2 (pow eps 2)))
284.0ms	(- (+ (* 2 (/ 1 eps)) (+ (* 2/3 (/ 1 (pow eps 3))) (log -1))))

prune620.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.2b remaining)

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

bsearch4.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.8s	3333×	body	1280	valid
1.7s	2524×	body	640	valid
715.0ms	8151×	body	80	nan
453.0ms	1274×	body	320	valid
120.0ms	655×	body	160	valid
55.0ms	214×	body	80	valid