Details

sample184.0ms

Algorithm

intervals

Results

94.0ms	261×	body	10240	exit
45.0ms	106×	body	1280	valid
21.0ms	77×	body	640	valid
6.0ms	36×	body	320	valid
2.0ms	19×	body	160	valid
1.0ms	18×	body	80	valid

simplify4.2s

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)))

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:

12.0ms	(+ (exp x) (exp (- x)))
81.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
14.0ms	(- (exp x) (exp (- x)))

series238.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ (exp x) (exp (- x)))
129.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
66.0ms	(- (exp x) (exp (- x)))

simplify1.7s

Counts

82 → 82

Iterations

Useful iterations: done (1.7s)

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

prune222.0ms

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)

rewrite3.0ms

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:

3.0ms

(tanh x)

series157.0ms

Counts

1 → 3

Calls

1 calls:

157.0ms

(tanh x)

simplify2.1s

Counts

13 → 13

Iterations

Useful iterations: 2 (54.0ms)

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

localize21.0ms

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))

rewrite93.0ms

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:

48.0ms	(- (+ 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))
24.0ms	(* 1/3 (pow x 3))

series387.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(- (+ x (* 2/15 (pow x 5))) (* 1/3 (pow x 3)))
165.0ms	(+ x (* 2/15 (pow x 5)))
98.0ms	(* 2/15 (pow x 5))
54.0ms	(* 1/3 (pow x 3))

simplify4.0s

Counts

93 → 93

Iterations

Useful iterations: 3 (1.2s)

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

prune287.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

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)))))

rewrite390.0ms

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:

67.0ms	(/ 1 (+ 1 (exp (+ x x))))
28.0ms	(+ 1 (exp (+ x x)))
26.0ms	(/ (exp x) (+ (exp x) (exp (- x))))
261.0ms	(- (/ (exp x) (+ (exp x) (exp (- x)))) (/ 1 (+ 1 (exp (+ x x)))))

series264.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(/ 1 (+ 1 (exp (+ x x))))
13.0ms	(+ 1 (exp (+ x x)))
58.0ms	(/ (exp x) (+ (exp x) (exp (- x))))
166.0ms	(- (/ (exp x) (+ (exp x) (exp (- x)))) (/ 1 (+ 1 (exp (+ x x)))))

simplify2.9s

Counts

119 → 119

Iterations

Useful iterations: done (2.9s)

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

prune271.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	2
done	2	2

end0.0ms

sample9.4s

Algorithm

intervals

Results

5.3s	7551×	body	10240	exit
2.4s	3308×	body	1280	valid
929.0ms	2440×	body	640	valid
320.0ms	1225×	body	320	valid
86.0ms	632×	body	160	valid
28.0ms	395×	body	80	valid