Details

sample185.0ms

Algorithm

intervals

Results

91.0ms	253×	body	10240	exit
45.0ms	113×	body	1280	valid
22.0ms	77×	body	640	valid
8.0ms	41×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	10×	body	80	valid

simplify3.5s

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 58.8b

localize8.0ms

Local error

Found 2 expressions with local error:

1.0b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
5.6b	(- (exp x) (exp (- x)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
25×	`add-sqr-sqrt`
20×	`times-frac`
13×	`add-cube-cbrt`
6×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
5×	`associate-/l*`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `tanh-undef` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 61

Calls

2 calls:

80.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
16.0ms	(- (exp x) (exp (- x)))

series149.0ms

Counts

2 → 6

Calls

2 calls:

97.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
52.0ms	(- (exp x) (exp (- x)))

simplify1.5s

Counts

67 → 67

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	106	1228
1	250	1185
2	650	1107
3	1646	1103
done	5001	1095

prune195.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize4.0ms

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:

2.0ms

(tanh x)

series109.0ms

Counts

1 → 3

Calls

1 calls:

108.0ms

(tanh x)

simplify1.7s

Counts

13 → 13

Iterations

Useful iterations: 2 (32.0ms)

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

prune31.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
0.0b	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
0.0b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
20×	`add-cube-cbrt`
19×	`associate-r`
16×	`add-exp-log`
12×	`times-frac`
10×	`add-cbrt-cube`
9×	`add-log-exp`
8×	`unpow-prod-down`
7×	`unswap-sqr`
6×	`associate-l` `prod-exp`
4×	`pow1` `cube-prod` `associate-/r*` `distribute-lft-out` `sqr-pow`
3×	`flip3-+` `sum-log` `flip-+` `associate-/l*`
2×	`pow-to-exp` `pow-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `cube-mult` `associate-+r+` `frac-2neg` `unpow3` `div-exp` `clear-num` `div-inv`

Counts

4 → 104

Calls

4 calls:

111.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
30.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
18.0ms	(* 1/60 (pow x 5))
13.0ms	(* 1/3 (pow x 3))

series337.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
82.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
70.0ms	(* 1/60 (pow x 5))
48.0ms	(* 1/3 (pow x 3))

simplify1.0s

Counts

116 → 116

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	200	2159
1	477	2024
2	1472	1887
done	5000	1886

prune467.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1 (exp (* -2 x)))
0.3b	(/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))
5.6b	(- 1 (exp (* -2 x)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

49×	`*-un-lft-identity`
33×	`add-sqr-sqrt`
24×	`times-frac`
15×	`add-cube-cbrt`
12×	`difference-of-squares`
8×	`distribute-lft-out`
7×	`add-log-exp`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-exp-log` `add-cbrt-cube`
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` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 78

Calls

3 calls:

10.0ms	(+ 1 (exp (* -2 x)))
55.0ms	(/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))
9.0ms	(- 1 (exp (* -2 x)))

series99.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ 1 (exp (* -2 x)))
66.0ms	(/ (- 1 (exp (* -2 x))) (+ 1 (exp (* -2 x))))
18.0ms	(- 1 (exp (* -2 x)))

simplify2.2s

Counts

87 → 87

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	116	1525
1	272	1447
2	677	1350
3	1731	1341
done	5001	1312

prune138.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes13.0ms

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

sample7.5s

Algorithm

intervals

Results

4.6s	7558×	body	10240	exit
1.6s	3398×	body	1280	valid
728.0ms	2364×	body	640	valid
260.0ms	1213×	body	320	valid
64.0ms	606×	body	160	valid
23.0ms	419×	body	80	valid