Details

sample140.0ms

Algorithm

intervals

Results

64.0ms	218×	body	10240	exit
33.0ms	92×	body	1280	valid
20.0ms	90×	body	640	valid
6.0ms	39×	body	320	valid
1.0ms	16×	body	160	valid
1.0ms	19×	body	80	valid

simplify569.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.1b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.4b	(- (exp x) (exp (- x)))

rewrite111.0ms

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:

14.0ms	(+ (exp x) (exp (- x)))
81.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
14.0ms	(- (exp x) (exp (- x)))

series200.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (exp x) (exp (- x)))
109.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
58.0ms	(- (exp x) (exp (- x)))

simplify1.8s

Counts: 82 → 82

prune176.0ms

Pruning

4 alts after pruning (4 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)

series83.0ms

Counts

1 → 3

Calls

1 calls:

83.0ms

(tanh x)

simplify1.2s

Counts: 13 → 13

prune33.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize10.0ms

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))
0.2b	(* 1/3 (pow x 3))

rewrite72.0ms

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:

30.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
6.0ms	(+ x (* 2/15 (pow x 5)))
12.0ms	(* 2/15 (pow x 5))
20.0ms	(* 1/3 (pow x 3))

series331.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
131.0ms	(+ x (* 2/15 (pow x 5)))
79.0ms	(* 2/15 (pow x 5))
49.0ms	(* 1/3 (pow x 3))

simplify778.0ms

Counts: 93 → 93

prune268.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh x)
0.4b	(log (tanh x))
2.8b	(exp (log (tanh x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 43

Calls

3 calls:

7.0ms	(tanh x)
6.0ms	(log (tanh x))
11.0ms	(exp (log (tanh x)))

series386.0ms

Counts

3 → 9

Calls

3 calls:

97.0ms	(tanh x)
197.0ms	(log (tanh x))
91.0ms	(exp (log (tanh x)))

simplify544.0ms

Counts: 52 → 52

prune116.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

48.4% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 1.8b

bsearch44.0ms

Steps

Iters	Range		Point
8	0.00022617661863457038	0.061554017742428864	0.00320659689496745

simplify1.2s

end0.0ms

sample8.1s

Algorithm

intervals

Results

4.4s	7599×	body	10240	exit
1.8s	3317×	body	1280	valid
890.0ms	2431×	body	640	valid
354.0ms	1175×	body	320	valid
129.0ms	659×	body	160	valid
26.0ms	418×	body	80	valid