Details

sample107.0ms

Algorithm

intervals

Results

45.0ms	269×	body	10240	exit
31.0ms	108×	body	1280	valid
14.0ms	80×	body	640	valid
4.0ms	33×	body	320	valid
1.0ms	21×	body	160	valid
0.0ms	14×	body	80	valid

simplify44.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	9
1	24	9
2	32	9
3	44	9
4	59	9
5	174	9
6	1153	9
7	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
2.2b	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.7b	(- (exp x) (exp (- x)))

rewrite42.0ms

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:

5.0ms	(+ (exp x) (exp (- x)))
25.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
6.0ms	(- (exp x) (exp (- x)))

series131.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (exp x) (exp (- x)))
73.0ms	(/ (- (exp x) (exp (- x))) (+ (exp x) (exp (- x))))
35.0ms	(- (exp x) (exp (- x)))

simplify237.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	281	936
1	947	870
2	4970	860
3	5003	860

prune168.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize2.0ms

Local error

Found 1 expressions with local error:

0.0b

(tanh x)

rewrite1.0ms

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)

series78.0ms

Counts

1 → 3

Calls

1 calls:

78.0ms

(tanh x)

simplify73.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	91	48
1	195	45
2	599	45
3	2891	45
4	5002	45

prune26.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

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)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))

rewrite64.0ms

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:

37.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
9.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
9.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))

series241.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(/ (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x))) (+ (exp x) (exp (- x))))
60.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
46.0ms	(* 1/60 (pow x 5))
40.0ms	(* 1/3 (pow x 3))

simplify65.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	480	1097
1	2079	1018
2	5001	1017

prune327.0ms

Pruning

3 alts after pruning (1 fresh and 2 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)))
0.1b	(* 1/60 (pow x 5))
0.1b	(* 1/3 (pow x 3))
0.2b	(/ 1 (/ (+ (exp x) (exp (- x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

102×	`times-frac`
86×	`*-un-lft-identity`
74×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
25×	`add-exp-log`
19×	`associate-r`
18×	`associate-/r*`
13×	`add-cbrt-cube`
12×	`distribute-lft-out`
9×	`associate-/r/` `add-log-exp`
8×	`unpow-prod-down`
7×	`div-exp` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`pow1` `flip3-+` `flip-+` `div-inv`
4×	`cube-prod` `sqr-pow`
3×	`cbrt-undiv` `sum-log` `associate-/l*`
2×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `associate-+r+` `pow-flip` `frac-2neg` `unpow3` `clear-num` `inv-pow`

Counts

4 → 165

Calls

4 calls:

9.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
5.0ms	(* 1/60 (pow x 5))
7.0ms	(* 1/3 (pow x 3))
32.0ms	(/ 1 (/ (+ (exp x) (exp (- x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

series240.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))
46.0ms	(* 1/60 (pow x 5))
40.0ms	(* 1/3 (pow x 3))
94.0ms	(/ 1 (/ (+ (exp x) (exp (- x))) (+ (* 1/3 (pow x 3)) (+ (* 1/60 (pow x 5)) (* 2 x)))))

simplify88.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	681	2645
1	3652	2349
2	5002	2343

prune397.0ms

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

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2	1

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.3s	7817×	body	10240	exit
959.0ms	3247×	body	1280	valid
453.0ms	2518×	body	640	valid
135.0ms	1189×	body	320	valid
41.0ms	615×	body	160	valid
15.0ms	431×	body	80	valid