Details

sample206.0ms

Algorithm

intervals

Results

87.0ms	113×	body	1280	valid
71.0ms	249×	body	10240	exit
19.0ms	66×	body	640	valid
8.0ms	42×	body	320	valid
2.0ms	20×	body	160	valid
1.0ms	15×	body	80	valid

simplify568.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.7b

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)))

rewrite136.0ms

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)))
95.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
20.0ms	(- (exp x) (exp (- x)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (exp x) (exp (- x)))
87.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
57.0ms	(- (exp x) (exp (- x)))

simplify1.8s

Counts: 82 → 82

prune227.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

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)

series99.0ms

Counts

1 → 3

Calls

1 calls:

99.0ms

(tanh x)

simplify1.2s

Counts: 13 → 13

prune37.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

36.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
16.0ms	(* 2/15 (pow x 5))
19.0ms	(* 1/3 (pow x 3))

series174.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
68.0ms	(* 2/15 (pow x 5))
38.0ms	(* 1/3 (pow x 3))

simplify655.0ms

Counts: 79 → 79

prune177.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(tanh x)
0.0b	(pow (tanh x) 3)
39.1b	(cbrt (pow (tanh x) 3))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cube-div` `unpow-prod-down` `cube-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow-unpow` `cbrt-div` `tanh-def` `add-log-exp`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

3 → 60

Calls

3 calls:

1.0ms	(tanh x)
4.0ms	(pow (tanh x) 3)
4.0ms	(cbrt (pow (tanh x) 3))

series349.0ms

Counts

3 → 9

Calls

3 calls:

116.0ms	(tanh x)
142.0ms	(pow (tanh x) 3)
91.0ms	(cbrt (pow (tanh x) 3))

simplify481.0ms

Counts: 69 → 69

prune148.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes12.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.4s

end0.0ms

sample8.0s

Algorithm

intervals

Results

4.0s	7618×	body	10240	exit
2.2s	3289×	body	1280	valid
948.0ms	2392×	body	640	valid
317.0ms	1236×	body	320	valid
81.0ms	626×	body	160	valid
29.0ms	457×	body	80	valid