Details

sample189.0ms

Algorithm

intervals

Results

110.0ms	132×	body	1280	valid
26.0ms	56×	body	640	valid
18.0ms	259×	body	80	nan
18.0ms	38×	body	320	valid
4.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify45.0ms

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: 57.9b

localize40.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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

27.0ms	(/ (- 1 eps) (+ 1 eps))
11.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series128.0ms

Calls

2 calls:

Slowest

99.0ms	(log (/ (- 1 eps) (+ 1 eps)))
29.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.2s

Calls

102 calls:

Slowest

448.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
227.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
193.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
183.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
178.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))

prune948.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite86.0ms

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

58.0ms	(* eps (- (* (* eps -2/3) eps) 2))
22.0ms	(* (* eps -2/3) eps)
5.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))

series300.0ms

Calls

4 calls:

Slowest

134.0ms	(* eps (- (* (* eps -2/3) eps) 2))
106.0ms	(fma (pow eps 5) -2/5 (* eps (- (* (* eps -2/3) eps) 2)))
41.0ms	(* (* eps -2/3) eps)
19.0ms	(* eps -2/3)

simplify3.5s

Calls

51 calls:

Slowest

606.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
268.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))
259.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))
257.0ms	(+ (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (+ (* 2 2) (* (* (* eps -2/3) eps) 2)))
254.0ms	(- (+ (* 2/3 (pow eps 3)) (* 2 eps)))

prune896.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite103.0ms

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`

Calls

4 calls:

Slowest

67.0ms	(* (* (* eps -2/3) eps) eps)
23.0ms	(* (* eps -2/3) eps)
11.0ms	(* eps -2/3)
0.0ms	(fma (pow eps 5) -2/5 (+ (* (* (* eps -2/3) eps) eps) (* -2 eps)))

series226.0ms

Calls

4 calls:

Slowest

84.0ms	(fma (pow eps 5) -2/5 (+ (* (* (* eps -2/3) eps) eps) (* -2 eps)))
74.0ms	(* (* (* eps -2/3) eps) eps)
50.0ms	(* (* eps -2/3) eps)
16.0ms	(* eps -2/3)

simplify3.5s

Calls

41 calls:

Slowest

594.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
480.0ms	(* (* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
438.0ms	(* (* (* (* (* eps eps) eps) (* (* -2/3 -2/3) -2/3)) (* (* eps eps) eps)) (* (* eps eps) eps))
393.0ms	(* (* (* (* (* eps -2/3) eps) (* (* eps -2/3) eps)) (* (* eps -2/3) eps)) (* (* eps eps) eps))
235.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2 eps) (* 2/5 (pow eps 5)))))

prune872.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

2.2b	(log (exp (* (* eps -2/3) eps)))
0.3b	(* eps -2/3)
0.1b	(* (* eps -2/3) eps)
0.0b	(* (log (exp (* (* eps -2/3) eps))) eps)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
14×	`add-sqr-sqrt`
13×	`add-cbrt-cube` `add-exp-log`
10×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
9×	`associate-r`
6×	`log-pow` `add-log-exp`
5×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`log-prod` `*-commutative`
2×	`exp-prod` `exp-to-pow` `unswap-sqr`
1×	`rem-log-exp`

Calls

4 calls:

Slowest

14.0ms	(* (* eps -2/3) eps)
11.0ms	(* eps -2/3)
9.0ms	(* (log (exp (* (* eps -2/3) eps))) eps)
8.0ms	(log (exp (* (* eps -2/3) eps)))

series160.0ms

Calls

4 calls:

Slowest

65.0ms	(* (log (exp (* (* eps -2/3) eps))) eps)
38.0ms	(log (exp (* (* eps -2/3) eps)))
38.0ms	(* (* eps -2/3) eps)
20.0ms	(* eps -2/3)

simplify4.1s

Calls

42 calls:

Slowest

607.0ms	(* (* (* (* eps -2/3) (* eps -2/3)) (* eps -2/3)) (* (* eps eps) eps))
469.0ms	(* (* (* (log (exp (* (* eps -2/3) eps))) (log (exp (* (* eps -2/3) eps)))) (log (exp (* (* eps -2/3) eps)))) (* (* eps eps) eps))
377.0ms	(* (log (exp (* (* eps -2/3) eps))) eps)
325.0ms	(* (cbrt (log (exp (* (* eps -2/3) eps)))) (cbrt (log (exp (* (* eps -2/3) eps)))))
318.0ms	(+ (log (log (exp (* (* eps -2/3) eps)))) (log eps))

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

regimes44.0ms

Accuracy

0% (0.2b remaining)

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

bsearch5.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.3s	3506×	body	1280	valid
1.3s	2379×	body	640	valid
718.0ms	8107×	body	80	nan
466.0ms	1312×	body	320	valid
115.0ms	606×	body	160	valid
17.0ms	197×	body	80	valid