Details

sample139.0ms

Algorithm

intervals

Results

70.0ms	108×	body	1280	valid
27.0ms	79×	body	640	valid
9.0ms	250×	body	80	nan
8.0ms	43×	body	320	valid
3.0ms	22×	body	160	valid
0.0ms	4×	body	80	valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	23
3	23
2	20
1	15
0	6

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 eps) (+ 1.0 eps))
5.3b	(log (/ (- 1.0 eps) (+ 1.0 eps)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

63×	`*-un-lft-identity`
41×	`add-sqr-sqrt`
40×	`times-frac`
26×	`log-prod`
23×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`distribute-lft-out--` `difference-of-squares`
7×	`add-exp-log`
5×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `associate-/r/`
3×	`pow1`
2×	`flip3-+` `div-exp` `rem-log-exp` `flip-+` `div-inv` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `log-div` `clear-num` `frac-2neg` `flip3--` `div-sub` `log-pow` `flip--`

Counts

2 → 83

Calls

2 calls:

29.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
8.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

series267.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(/ (- 1.0 eps) (+ 1.0 eps))
210.0ms	(log (/ (- 1.0 eps) (+ 1.0 eps)))

simplify987.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5001
2	1348
1	349
0	143

prune323.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize26.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ eps (/ (* eps eps) (* 1.0 1.0)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`add-sqr-sqrt` `pow1` `+-commutative` `sum-log` `flip3-+` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

8.0ms

(+ eps (/ (* eps eps) (* 1.0 1.0)))

series69.0ms

Counts

1 → 3

Calls

1 calls:

69.0ms

(+ eps (/ (* eps eps) (* 1.0 1.0)))

simplify850.0ms

Counts

15 → 15

Iterations

Iter	Nodes
done	5000
2	511
1	90
0	30

prune75.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ eps (/ (* eps eps) (* 1.0 1.0)))) (cbrt (+ eps (/ (* eps eps) (* 1.0 1.0)))))
0.7b	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
0.7b	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
0.7b	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))

rewrite154.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

110.0ms	(* (cbrt (+ eps (/ (* eps eps) (* 1.0 1.0)))) (cbrt (+ eps (/ (* eps eps) (* 1.0 1.0)))))
12.0ms	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
13.0ms	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
13.0ms	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))

series527.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (cbrt (+ eps (/ (* eps eps) (* 1.0 1.0)))) (cbrt (+ eps (/ (* eps eps) (* 1.0 1.0)))))
147.0ms	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
119.0ms	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
125.0ms	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))

simplify1.6s

Counts

107 → 107

Iterations

Iter	Nodes
done	5000
2	1699
1	414
0	166

prune552.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize45.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
0.7b	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
0.7b	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
16.6b	(log (exp (cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
16×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`log-pow`
7×	`exp-prod`
6×	`cbrt-div`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `distribute-lft-out` `add-log-exp`
3×	`log-prod` `flip3-+` `pow1/3` `flip-+`
1×	`rem-log-exp`

Counts

4 → 61

Calls

4 calls:

6.0ms	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
6.0ms	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
7.0ms	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
25.0ms	(log (exp (cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))))

series551.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
175.0ms	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
103.0ms	(cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))
103.0ms	(log (exp (cbrt (+ eps (/ (* eps eps) (* 1.0 1.0))))))

simplify1.4s

Counts

73 → 73

Iterations

Iter	Nodes
done	5001
2	855
1	247
0	113

prune530.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes117.0ms

Accuracy

0% (0.5b remaining)

Error of 0.7b against oracle of 0.2b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.0s	3459×	body	1280	valid
811.0ms	2423×	body	640	valid
573.0ms	1244×	body	320	valid
410.0ms	8142×	body	80	nan
72.0ms	662×	body	160	valid
11.0ms	212×	body	80	valid