Details

sample258.0ms

Algorithm

intervals

Results

144.0ms	260×	body	10240	exit
63.0ms	113×	body	1280	valid
24.0ms	71×	body	640	valid
9.0ms	42×	body	320	valid
3.0ms	19×	body	160	valid
1.0ms	11×	body	80	valid

simplify87.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.4b

localize13.0ms

Local error

Found 2 expressions with local error:

5.3b	(- (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`associate-/r*` `add-cbrt-cube` `add-exp-log` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `insert-posit16` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `tanh-undef` `flip-+` `div-inv`

Counts

2 → 63

Calls

2 calls:

Slowest

44.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
15.0ms	(- (exp x) (exp (- x)))

series171.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

124.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
47.0ms	(- (exp x) (exp (- x)))

simplify877.0ms

Counts: 69 → 69

prune499.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

1×	`add-sqr-sqrt` `pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt` `insert-posit16` `tanh-def` `add-log-exp`

Counts

1 → 11

Calls

1 calls:

Slowest

2.0ms

(tanh x)

series100.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

100.0ms

(tanh x)

simplify686.0ms

Counts: 14 → 14

prune96.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.3b	(* 1/3 x)
0.1b	(* (* x x) (* 1/3 x))
0.1b	(* (pow x 5) 2/15)
0.0b	(- x (* (* x x) (* 1/3 x)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log`
20×	`add-cbrt-cube`
18×	`pow1`
16×	`add-sqr-sqrt`
12×	`prod-exp`
11×	`associate-l`
10×	`cbrt-unprod`
9×	`*-un-lft-identity` `pow-prod-down` `add-cube-cbrt`
7×	`associate-r`
6×	`add-log-exp`
4×	`unpow-prod-down` `insert-posit16` `unswap-sqr`
3×	`*-commutative`
2×	`sqr-pow`
1×	`pow-to-exp` `sub-neg` `flip3--` `diff-log` `pow-exp` `flip--`

Counts

4 → 81

Calls

4 calls:

Slowest

36.0ms	(* (* x x) (* 1/3 x))
17.0ms	(* (pow x 5) 2/15)
10.0ms	(* 1/3 x)
8.0ms	(- x (* (* x x) (* 1/3 x)))

series204.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

86.0ms	(- x (* (* x x) (* 1/3 x)))
55.0ms	(* (pow x 5) 2/15)
41.0ms	(* (* x x) (* 1/3 x))
22.0ms	(* 1/3 x)

simplify1.3s

Counts: 93 → 93

prune823.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (* x x) (* 1/3 x))))
0.6b	(cbrt (- x (* (* x x) (* 1/3 x))))
0.6b	(cbrt (- x (* (* x x) (* 1/3 x))))
0.5b	(* (cbrt (- x (* (* x x) (* 1/3 x)))) (cbrt (- x (* (* x x) (* 1/3 x)))))

rewrite28.0ms

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` `insert-posit16` `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 → 91

Calls

4 calls:

Slowest

20.0ms	(* (cbrt (- x (* (* x x) (* 1/3 x)))) (cbrt (- x (* (* x x) (* 1/3 x)))))
2.0ms	(cbrt (- x (* (* x x) (* 1/3 x))))
2.0ms	(cbrt (- x (* (* x x) (* 1/3 x))))
2.0ms	(cbrt (- x (* (* x x) (* 1/3 x))))

series594.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

155.0ms	(* (cbrt (- x (* (* x x) (* 1/3 x)))) (cbrt (- x (* (* x x) (* 1/3 x)))))
152.0ms	(cbrt (- x (* (* x x) (* 1/3 x))))
147.0ms	(cbrt (- x (* (* x x) (* 1/3 x))))
140.0ms	(cbrt (- x (* (* x x) (* 1/3 x))))

simplify1.2s

Counts: 103 → 103

prune1.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes39.0ms

Accuracy

0% (0.0b remaining)

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

bsearch1.0ms

end0.0ms

sample10.4s

Algorithm

intervals

Results

5.8s	7731×	body	10240	exit
2.6s	3372×	body	1280	valid
1.2s	2429×	body	640	valid
338.0ms	1164×	body	320	valid
147.0ms	651×	body	160	valid
34.0ms	384×	body	80	valid