Details

sample201.0ms

Algorithm

intervals

Results

93.0ms	105×	body	1280	valid
44.0ms	84×	body	640	valid
23.0ms	37×	body	320	valid
21.0ms	284×	body	80	nan
3.0ms	17×	body	160	valid
2.0ms	13×	body	80	valid

simplify22.0ms

Counts

1 → 1

Iterations

Iter	Nodes
4	27
3	27
2	24
1	17
0	6

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1 eps) (+ 1 eps))
4.6b	(log (/ (- 1 eps) (+ 1 eps)))

rewrite47.0ms

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--`

Counts

2 → 98

Calls

2 calls:

33.0ms	(/ (- 1 eps) (+ 1 eps))
12.0ms	(log (/ (- 1 eps) (+ 1 eps)))

series135.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ (- 1 eps) (+ 1 eps))
97.0ms	(log (/ (- 1 eps) (+ 1 eps)))

simplify976.0ms

Counts

104 → 104

Iterations

Iter	Nodes
3	2217
2	828
1	381
0	162

prune809.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1`
13×	`add-sqr-sqrt` `add-exp-log`
10×	`add-cbrt-cube`
8×	`associate-r`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l` `prod-exp`
5×	`pow-prod-up`
4×	`unpow-prod-down` `cbrt-unprod` `unswap-sqr`
3×	`expm1-log1p-u` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `sqr-pow`
1×	`pow2` `pow-to-exp` `pow-plus` `cube-unmult` `pow-exp` `pow-sqr` `fma-udef`

Counts

3 → 66

Calls

3 calls:

0.0ms	(fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5))))
8.0ms	(* -2/5 (pow eps 5))
13.0ms	(* eps (* eps eps))

series209.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5))))
63.0ms	(* -2/5 (pow eps 5))
61.0ms	(* eps (* eps eps))

simplify6.3s

Counts

75 → 75

Iterations

Iter	Nodes
4	9474
3	1592
2	498
1	217
0	111

prune739.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5))))) (cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5))))))
0.7b	(cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5)))))
0.7b	(cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5)))))
0.7b	(cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5)))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

20.0ms	(* (cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5))))) (cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5))))))
1.0ms	(cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5)))))
1.0ms	(cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5)))))
1.0ms	(cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5)))))

series826.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5))))) (cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5))))))
231.0ms	(cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5)))))
199.0ms	(cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5)))))
199.0ms	(cbrt (fma (* eps (* eps eps)) -2/3 (fma eps -2 (* -2/5 (pow eps 5)))))

simplify888.0ms

Counts

97 → 97

Iterations

Iter	Nodes
3	2488
2	781
1	323
0	144

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- (pow 1 3) (pow eps 3)) (fma eps (* (+ eps 1) (+ eps 1)) (+ eps 1)))
0.0b	(fma eps (* (+ eps 1) (+ eps 1)) (+ eps 1))
0.0b	(* (+ eps 1) (+ eps 1))
4.6b	(log (/ (- (pow 1 3) (pow eps 3)) (fma eps (* (+ eps 1) (+ eps 1)) (+ eps 1))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

297×	`add-sqr-sqrt`
232×	`*-un-lft-identity`
204×	`times-frac`
168×	`difference-of-squares`
126×	`unpow-prod-down` `cube-prod`
106×	`log-prod`
85×	`add-cube-cbrt`
70×	`sqr-pow`
42×	`distribute-lft-out--`
34×	`associate-/l*`
12×	`pow1`
11×	`add-exp-log`
8×	`add-cbrt-cube`
7×	`cube-mult` `difference-cubes`
6×	`flip3-+` `swap-sqr` `flip-+` `distribute-lft-out`
4×	`expm1-log1p-u` `frac-times` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r*`
2×	`div-exp` `rem-log-exp` `associate-l/` `associate-r/` `div-inv` `associate-/l/`
1×	`pow2` `distribute-rgt-in` `cbrt-undiv` `log-div` `clear-num` `frac-2neg` `distribute-lft-in` `pow-plus` `flip3--` `div-sub` `pow-prod-down` `prod-exp` `pow-sqr` `log-pow` `*-commutative` `pow-prod-up` `cbrt-unprod` `fma-udef` `flip--` `unswap-sqr`

Counts

4 → 331

Calls

4 calls:

31.0ms	(/ (- (pow 1 3) (pow eps 3)) (fma eps (* (+ eps 1) (+ eps 1)) (+ eps 1)))
0.0ms	(fma eps (* (+ eps 1) (+ eps 1)) (+ eps 1))
39.0ms	(* (+ eps 1) (+ eps 1))
7.0ms	(log (/ (- (pow 1 3) (pow eps 3)) (fma eps (* (+ eps 1) (+ eps 1)) (+ eps 1))))

series273.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (- (pow 1 3) (pow eps 3)) (fma eps (* (+ eps 1) (+ eps 1)) (+ eps 1)))
44.0ms	(fma eps (* (+ eps 1) (+ eps 1)) (+ eps 1))
13.0ms	(* (+ eps 1) (+ eps 1))
156.0ms	(log (/ (- (pow 1 3) (pow eps 3)) (fma eps (* (+ eps 1) (+ eps 1)) (+ eps 1))))

simplify1.0s

Counts

343 → 343

Iterations

Iter	Nodes
2	2109
1	972
0	405

prune2.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
2	13
1	13
0	11

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.7s	3459×	body	1280	valid
1.3s	2479×	body	640	valid
871.0ms	8070×	body	80	nan
357.0ms	1223×	body	320	valid
104.0ms	622×	body	160	valid
17.0ms	217×	body	80	valid