Details

sample165.0ms

Algorithm

intervals

Results

79.0ms	269×	body	10240	exit
41.0ms	107×	body	1280	valid
20.0ms	85×	body	640	valid
6.0ms	34×	body	320	valid
2.0ms	17×	body	160	valid
1.0ms	13×	body	80	valid

simplify37.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.5b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
4.7b	(- (exp x) (exp (- x)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
26×	`add-sqr-sqrt`
20×	`times-frac`
14×	`add-cube-cbrt`
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`
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 → 73

Calls

3 calls:

17.0ms	(+ (exp x) (exp (- x)))
58.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
42.0ms	(- (exp x) (exp (- x)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(+ (exp x) (exp (- x)))
82.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
40.0ms	(- (exp x) (exp (- x)))

simplify229.0ms

Counts: 82 → 82

prune179.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 10

Calls

1 calls:

1.0ms

(tanh x)

series82.0ms

Counts

1 → 3

Calls

1 calls:

82.0ms

(tanh x)

simplify68.0ms

Counts: 13 → 13

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`associate-r`
14×	`add-exp-log`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
8×	`unpow-prod-down` `add-cbrt-cube`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `sqr-pow`
2×	`pow-to-exp` `diff-log` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `sub-neg` `flip3--` `flip3-+` `unpow3` `associate--l+` `flip--` `flip-+`

Counts

4 → 81

Calls

4 calls:

37.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
6.0ms	(+ x (* 2/15 (pow x 5)))
13.0ms	(* 2/15 (pow x 5))
15.0ms	(* 1/3 (pow x 3))

series269.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
118.0ms	(+ x (* 2/15 (pow x 5)))
53.0ms	(* 2/15 (pow x 5))
39.0ms	(* 1/3 (pow x 3))

simplify44.0ms

Counts: 93 → 93

prune192.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(tanh x)
4.7b	(log (exp (tanh x)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `log-pow`
3×	`pow1` `log-prod` `exp-prod`
2×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
1×	`rem-log-exp` `tanh-def`

Counts

2 → 25

Calls

2 calls:

1.0ms	(tanh x)
3.0ms	(log (exp (tanh x)))

series166.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(tanh x)
84.0ms	(log (exp (tanh x)))

simplify69.0ms

Counts: 31 → 31

prune56.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes17.0ms

Accuracy

49.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.0b

bsearch32.0ms

Steps

Iters	Range		Point
9	-108.06719872485291	-0.00012163823945093722	-0.005609947366707223

simplify1.0ms

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.5s	7765×	body	10240	exit
1.4s	3336×	body	1280	valid
589.0ms	2401×	body	640	valid
161.0ms	1172×	body	320	valid
56.0ms	646×	body	160	valid
20.0ms	445×	body	80	valid