Details

sample192.0ms

Algorithm

intervals

Results

86.0ms	96×	body	1280	valid
59.0ms	219×	body	10240	exit
22.0ms	89×	body	640	valid
5.0ms	33×	body	320	valid
3.0ms	27×	body	160	valid
1.0ms	11×	body	80	valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	15	13
2	25	13
3	31	13
4	42	13
5	56	13
6	59	13
7	95	13
8	110	13
9	155	13
10	227	13
11	395	13
12	965	13
13	3061	13
done	5001	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.2b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
7.4b	(- (exp x) (exp (- x)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
34×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
20×	`times-frac`
9×	`prod-diff`
7×	`distribute-lft-out` `add-log-exp`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
4×	`associate-/r*`
3×	`pow1` `expm1-log1p-u` `fma-def` `fma-neg` `log1p-expm1-u`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 94

Calls

3 calls:

26.0ms	(+ (exp x) (exp (- x)))
81.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
31.0ms	(- (exp x) (exp (- x)))

series237.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (exp x) (exp (- x)))
152.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
48.0ms	(- (exp x) (exp (- x)))

simplify3.3s

Counts

103 → 103

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	147	1789
1	342	1599
2	944	1426
3	3562	1362
done	5000	1362

prune309.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `log1p-expm1-u` `tanh-def` `add-log-exp`

Counts

1 → 12

Calls

1 calls:

3.0ms

(tanh x)

series147.0ms

Counts

1 → 3

Calls

1 calls:

147.0ms

(tanh x)

simplify2.1s

Counts

15 → 15

Iterations

Useful iterations: 3 (111.0ms)

Iter	Nodes	Cost
0	44	113
1	92	87
2	201	82
3	594	81
4	2826	81
done	5000	81

prune35.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 2/15 (pow x 5) x)
0.0b	(fma (pow x 3) -1/3 (fma 2/15 (pow x 5) x))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

0.0ms	(fma 2/15 (pow x 5) x)
0.0ms	(fma (pow x 3) -1/3 (fma 2/15 (pow x 5) x))

series191.0ms

Counts

2 → 6

Calls

2 calls:

121.0ms	(fma 2/15 (pow x 5) x)
69.0ms	(fma (pow x 3) -1/3 (fma 2/15 (pow x 5) x))

simplify3.4s

Counts

26 → 26

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	33	298
1	56	292
2	155	255
3	676	255
4	4194	255
done	5000	255

prune98.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x)))
0.6b	(cbrt (fma 2/15 (pow x 5) x))
0.6b	(cbrt (fma 2/15 (pow x 5) x))
0.6b	(cbrt (fma 2/15 (pow x 5) x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `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 → 81

Calls

4 calls:

21.0ms	(* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x)))
2.0ms	(cbrt (fma 2/15 (pow x 5) x))
2.0ms	(cbrt (fma 2/15 (pow x 5) x))
2.0ms	(cbrt (fma 2/15 (pow x 5) x))

series3.3s

Counts

4 → 12

Calls

4 calls:

917.0ms	(* (cbrt (fma 2/15 (pow x 5) x)) (cbrt (fma 2/15 (pow x 5) x)))
782.0ms	(cbrt (fma 2/15 (pow x 5) x))
872.0ms	(cbrt (fma 2/15 (pow x 5) x))
743.0ms	(cbrt (fma 2/15 (pow x 5) x))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	135	1714
1	290	1598
2	747	1486
3	2013	1213
done	5001	1166

prune443.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample7.6s

Algorithm

intervals

Results

4.4s	7512×	body	10240	exit
1.6s	3321×	body	1280	valid
793.0ms	2363×	body	640	valid
339.0ms	1218×	body	320	valid
72.0ms	663×	body	160	valid
26.0ms	435×	body	80	valid