Details

sample176.0ms

Algorithm

intervals

Results

92.0ms	108×	body	1280	valid
35.0ms	79×	body	640	valid
13.0ms	250×	body	80	nan
11.0ms	43×	body	320	valid
4.0ms	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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize19.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

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:

36.0ms	(/ (- 1.0 eps) (+ eps 1.0))
16.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))

series229.0ms

Counts

2 → 6

Calls

2 calls:

45.0ms	(/ (- 1.0 eps) (+ eps 1.0))
182.0ms	(log (/ (- 1.0 eps) (+ eps 1.0)))

simplify675.0ms

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1494
1	356
0	148

prune371.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 11

Calls

1 calls:

9.0ms

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

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

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

simplify1.7s

Counts

14 → 14

Iterations

Iter	Nodes
done	5000
3	3461
2	429
1	88
0	30

prune82.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`swap-sqr` `associate-r` `associate-l` `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 → 87

Calls

4 calls:

38.0ms	(* (cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0)))) (cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0)))))
2.0ms	(cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0))))
2.0ms	(cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0))))
3.0ms	(cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0))))

series604.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(* (cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0)))) (cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0)))))
138.0ms	(cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0))))
158.0ms	(cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0))))
137.0ms	(cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0))))

simplify770.0ms

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
2	1526
1	411
0	166

prune580.0ms

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

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod` `*-un-lft-identity`
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` `add-log-exp`
3×	`log-prod` `flip3-+` `pow1/3` `flip-+`
2×	`distribute-lft-out`
1×	`rem-log-exp`

Counts

4 → 59

Calls

4 calls:

2.0ms	(cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0))))
2.0ms	(cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0))))
15.0ms	(cbrt (+ (/ (* eps (/ eps 1.0)) 1.0) eps))
48.0ms	(log (exp (cbrt (+ (/ (* eps (/ eps 1.0)) 1.0) eps))))

series518.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0))))
143.0ms	(cbrt (+ eps (* (/ eps 1.0) (/ eps 1.0))))
110.0ms	(cbrt (+ (/ (* eps (/ eps 1.0)) 1.0) eps))
118.0ms	(log (exp (cbrt (+ (/ (* eps (/ eps 1.0)) 1.0) eps))))

simplify499.0ms

Counts

71 → 71

Iterations

Iter	Nodes
done	5000
2	998
1	300
0	139

prune540.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

regimes54.0ms

Accuracy

0% (0.5b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.0s	3459×	body	1280	valid
1.2s	2423×	body	640	valid
399.0ms	8142×	body	80	nan
259.0ms	1244×	body	320	valid
73.0ms	662×	body	160	valid
11.0ms	212×	body	80	valid