Details

sample189.0ms

Algorithm

intervals

Results

90.0ms	90×	body	1280	valid
45.0ms	84×	body	640	valid
18.0ms	233×	body	80	nan
16.0ms	50×	body	320	valid
6.0ms	29×	body	160	valid
0.0ms	3×	body	80	valid

simplify25.0ms

Calls

1 calls:

Slowest

25.0ms

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize13.0ms

Local error

Found 2 expressions with local error:

7.4b	(log (/ (- 1 eps) (+ 1 eps)))
0.0b	(/ (- 1 eps) (+ 1 eps))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
27×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`log-div`
14×	`distribute-lft-out` `associate-/l*`
11×	`distribute-lft-out--`
8×	`associate-/r*`
7×	`add-exp-log`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l/`
3×	`pow1` `clear-num` `log-rec`
2×	`frac-2neg` `flip3-+` `flip3--` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`
1×	`cbrt-undiv` `div-sub` `log-pow`

Calls

2 calls:

Slowest

40.0ms	(log (/ (- 1 eps) (+ 1 eps)))
26.0ms	(/ (- 1 eps) (+ 1 eps))

series108.0ms

Calls

2 calls:

Slowest

84.0ms	(log (/ (- 1 eps) (+ 1 eps)))
24.0ms	(/ (- 1 eps) (+ 1 eps))

simplify4.8s

Calls

119 calls:

Slowest

668.0ms	(log (/ (- 1 eps) (+ (pow 1 3) (pow eps 3))))
394.0ms	(/ (* (* (- 1 eps) (- 1 eps)) (- 1 eps)) (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)))
252.0ms	(- (log -1) (+ (* 2 (/ 1 eps)) (* 2/3 (/ 1 (pow eps 3)))))
187.0ms	(- (+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps))))
182.0ms	(log (/ (* (cbrt (- 1 eps)) (cbrt (- 1 eps))) (* (cbrt (+ 1 eps)) (cbrt (+ 1 eps)))))

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
30×	`associate-l`
21×	`*-un-lft-identity`
19×	`associate-r`
18×	`add-exp-log`
15×	`pow1` `add-cbrt-cube` `add-cube-cbrt`
9×	`unswap-sqr`
8×	`prod-exp`
6×	`pow-prod-down` `cbrt-unprod`
5×	`*-commutative`
4×	`unpow-prod-down` `insert-posit16` `add-log-exp`
3×	`distribute-lft-out`
2×	`associate-*l/` `sqr-pow`
1×	`pow-to-exp` `flip3-+` `pow-exp` `flip-+`

Calls

4 calls:

Slowest

238.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
23.0ms	(* (* 2/3 eps) eps)
10.0ms	(* 2/3 eps)
10.0ms	(* -2/5 (pow eps 5))

series287.0ms

Calls

4 calls:

Slowest

140.0ms	(* (+ (* (* 2/3 eps) eps) 2) eps)
89.0ms	(* -2/5 (pow eps 5))
31.0ms	(* (* 2/3 eps) eps)
27.0ms	(* 2/3 eps)

simplify3.7s

Calls

72 calls:

Slowest

382.0ms	(* (+ (pow (* (* 2/3 eps) eps) 3) (pow 2 3)) eps)
345.0ms	(* (* (* -2/5 -2/5) -2/5) (* (* (pow eps 5) (pow eps 5)) (pow eps 5)))
328.0ms	(* (- (* (* (* 2/3 eps) eps) (* (* 2/3 eps) eps)) (* 2 2)) eps)
260.0ms	(* (* (* (* 2/3 2/3) 2/3) (* (* eps eps) eps)) (* (* eps eps) eps))
247.0ms	(* (* (* (* 2/3 eps) (* 2/3 eps)) (* 2/3 eps)) (* (* eps eps) eps))

prune1.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt eps)
0.7b	(cbrt eps)
0.7b	(cbrt eps)
0.5b	(* (cbrt eps) (cbrt eps))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`cbrt-unprod` `insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Calls

4 calls:

Slowest

8.0ms	(* (cbrt eps) (cbrt eps))
1.0ms	(cbrt eps)
1.0ms	(cbrt eps)
1.0ms	(cbrt eps)

series1.2s

Calls

4 calls:

Slowest

315.0ms	(cbrt eps)
308.0ms	(* (cbrt eps) (cbrt eps))
284.0ms	(cbrt eps)
280.0ms	(cbrt eps)

simplify1.1s

Calls

66 calls:

Slowest

170.0ms	(* (cbrt -1) (pow (* eps -1) 1/3))
152.0ms	(* (pow (cbrt -1) 2) (pow (pow eps 2) 1/3))
131.0ms	(* (cbrt -1) (pow (* eps -1) 1/3))
125.0ms	(* (cbrt -1) (pow (* eps -1) 1/3))
96.0ms	(* (* (cbrt (cbrt eps)) (cbrt (cbrt eps))) (* (cbrt (cbrt eps)) (cbrt (cbrt eps))))

prune977.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

7.4b	(log (/ (+ 1 eps) (- 1 eps)))
0.0b	(/ (+ 1 eps) (- 1 eps))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

88×	`*-un-lft-identity`
57×	`add-sqr-sqrt`
48×	`times-frac`
30×	`log-prod`
27×	`add-cube-cbrt`
20×	`difference-of-squares`
15×	`log-div` `distribute-lft-out`
12×	`associate-/r*`
10×	`associate-/l*` `distribute-lft-out--`
7×	`add-exp-log`
4×	`add-cbrt-cube` `associate-/r/` `associate-/l/`
3×	`pow1` `clear-num` `log-rec`
2×	`frac-2neg` `flip3-+` `flip3--` `div-exp` `rem-log-exp` `flip-+` `insert-posit16` `div-inv` `flip--` `add-log-exp`
1×	`cbrt-undiv` `log-pow`

Calls

2 calls:

Slowest

41.0ms	(/ (+ 1 eps) (- 1 eps))
30.0ms	(log (/ (+ 1 eps) (- 1 eps)))

series139.0ms

Calls

2 calls:

Slowest

99.0ms	(log (/ (+ 1 eps) (- 1 eps)))
39.0ms	(/ (+ 1 eps) (- 1 eps))

simplify5.0s

Calls

118 calls:

Slowest

500.0ms	(/ (* (* (+ 1 eps) (+ 1 eps)) (+ 1 eps)) (* (* (- 1 eps) (- 1 eps)) (- 1 eps)))
430.0ms	(+ (* 2 (/ 1 eps)) (+ (* 2/3 (/ 1 (pow eps 3))) (log -1)))
369.0ms	(+ (* 2 (/ 1 eps)) (+ (* 2/3 (/ 1 (pow eps 3))) (log -1)))
332.0ms	(log (/ (+ 1 eps) (- (pow 1 3) (pow eps 3))))
255.0ms	(+ (* 2/3 (pow eps 3)) (+ (* 2/5 (pow eps 5)) (* 2 eps)))

prune641.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch2.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.8s	3420×	body	1280	valid
1.4s	2476×	body	640	valid
884.0ms	1208×	body	320	valid
619.0ms	8247×	body	80	nan
119.0ms	667×	body	160	valid
19.0ms	229×	body	80	valid