Details

sample251.0ms

Algorithm

intervals

Results

136.0ms	261×	body	10240	exit
60.0ms	106×	body	1280	valid
24.0ms	77×	body	640	valid
7.0ms	36×	body	320	valid
2.0ms	19×	body	160	valid
1.0ms	18×	body	80	valid

simplify4.0s

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	52	13
6	55	13
7	87	13
8	100	13
9	136	13
10	201	13
11	355	13
12	892	13
13	2913	13
done	5000	13

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 57.4b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.8b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.3b	(- (exp x) (exp (- x)))

rewrite122.0ms

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)))
81.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
22.0ms	(- (exp x) (exp (- x)))

series229.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+ (exp x) (exp (- x)))
137.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
48.0ms	(- (exp x) (exp (- x)))

simplify1.4s

Counts

82 → 82

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	117	1385
1	279	1333
2	714	1237
3	1755	1231
done	5001	1223

prune188.0ms

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)

series88.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(tanh x)

simplify1.8s

Counts

13 → 13

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	42	107
1	89	83
2	194	79
3	549	79
4	2651	79
done	5001	79

prune39.0ms

Pruning

3 alts after pruning (2 fresh and 1 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)))
0.1b	(* 2/15 (pow x 5))
0.2b	(* 1/3 (pow x 3))

rewrite108.0ms

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:

53.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
9.0ms	(+ x (* 2/15 (pow x 5)))
23.0ms	(* 2/15 (pow x 5))
18.0ms	(* 1/3 (pow x 3))

series329.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
141.0ms	(+ x (* 2/15 (pow x 5)))
63.0ms	(* 2/15 (pow x 5))
63.0ms	(* 1/3 (pow x 3))

simplify3.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.1s)

Iter	Nodes	Cost
0	133	981
1	319	861
2	957	823
3	4564	812
done	5001	812

prune214.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (+ 1 (exp (+ x x))))
0.0b	(+ 1 (exp (+ x x)))
0.3b	(/ (exp x) (+ (exp x) (exp (- x))))
6.3b	(- (/ (exp x) (+ (exp x) (exp (- x)))) (/ 1 (+ 1 (exp (+ x x)))))

rewrite380.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
39×	`add-sqr-sqrt` `times-frac`
22×	`add-cube-cbrt`
13×	`distribute-lft-out`
9×	`add-exp-log`
8×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
6×	`associate-/l*` `distribute-lft-out--` `difference-of-squares`
5×	`pow1`
4×	`associate-/r/`
3×	`flip3-+` `div-exp` `flip-+` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `clear-num`
1×	`+-commutative` `sub-neg` `rec-exp` `flip3--` `pow-flip` `diff-log` `1-exp` `sum-log` `frac-sub` `flip--` `inv-pow`

Counts

4 → 107

Calls

4 calls:

56.0ms	(/ 1 (+ 1 (exp (+ x x))))
26.0ms	(+ 1 (exp (+ x x)))
40.0ms	(/ (exp x) (+ (exp x) (exp (- x))))
251.0ms	(- (/ (exp x) (+ (exp x) (exp (- x)))) (/ 1 (+ 1 (exp (+ x x)))))

series215.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ 1 (+ 1 (exp (+ x x))))
17.0ms	(+ 1 (exp (+ x x)))
35.0ms	(/ (exp x) (+ (exp x) (exp (- x))))
130.0ms	(- (/ (exp x) (+ (exp x) (exp (- x)))) (/ 1 (+ 1 (exp (+ x x)))))

simplify3.1s

Counts

119 → 119

Iterations

Useful iterations: done (3.1s)

Iter	Nodes	Cost
0	188	2003
1	413	1845
2	1025	1749
3	2797	1692
done	5000	1687

prune312.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes21.0ms

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

sample7.4s

Algorithm

intervals

Results

3.8s	7551×	body	10240	exit
2.1s	3308×	body	1280	valid
798.0ms	2440×	body	640	valid
247.0ms	1225×	body	320	valid
70.0ms	632×	body	160	valid
23.0ms	395×	body	80	valid