Details

sample32.0ms

Algorithm

intervals

Results

16.0ms

631×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	4
1	41	4
2	102	4
3	224	4
4	401	4
5	758	4
6	2403	4
7	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
8.2b	(/ (* (cosh x) (/ y x)) z)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-r`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-l` `associate-/r*` `associate-/l/`
2×	`frac-times` `associate-r/` `associate-l/` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

2 → 60

Calls

2 calls:

7.0ms	(* (cosh x) (/ y x))
5.0ms	(/ (* (cosh x) (/ y x)) z)

series180.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (cosh x) (/ y x))
106.0ms	(/ (* (cosh x) (/ y x)) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	345	374
1	1456	317
2	5001	317

prune139.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
5.6b	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log` `add-cbrt-cube`
10×	`prod-exp` `cbrt-unprod`
9×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`cbrt-undiv` `div-exp`
5×	`pow1` `add-cube-cbrt` `add-log-exp`
4×	`associate-l` `associate-*l/`
3×	`flip3-+` `associate-r` `flip-+`
2×	`associate-/l/` `distribute-lft-out`
1×	`+-commutative` `frac-2neg` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 60

Calls

3 calls:

6.0ms	(+ (exp x) (exp (- x)))
20.0ms	(* (+ (exp x) (exp (- x))) y)
15.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (exp x) (exp (- x)))
53.0ms	(* (+ (exp x) (exp (- x))) y)
87.0ms	(/ (* (+ (exp x) (exp (- x))) y) (* z (* 2 x)))

simplify63.0ms

Algorithm

egg-herbie

Counts

69 → 69

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	421	641
1	2448	493
2	5003	493

prune176.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (+ (exp x) (exp (- x))) y) z)
0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
6.3b	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

9.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
5.0ms	(+ (exp x) (exp (- x)))
23.0ms	(* (+ (exp x) (exp (- x))) y)
11.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series229.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
25.0ms	(+ (exp x) (exp (- x)))
51.0ms	(* (+ (exp x) (exp (- x))) y)
90.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify71.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	490	952
1	2532	767
2	5002	766

prune249.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) y)
0.3b	(/ (/ 1 z) x)
5.9b	(* (/ (* (+ (exp x) (exp (- x))) y) 2) (/ (/ 1 z) x))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

149×	`times-frac`
99×	`add-sqr-sqrt`
90×	`*-un-lft-identity`
85×	`add-cube-cbrt`
75×	`add-exp-log`
47×	`add-cbrt-cube`
46×	`associate-r`
34×	`div-exp`
21×	`prod-exp`
18×	`cbrt-undiv`
13×	`cbrt-unprod` `associate-/l*`
11×	`associate-l`
10×	`div-inv`
8×	`pow1`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l/` `associate-/r`
2×	`flip3-+` `pow-prod-down` `*-commutative` `flip-+` `distribute-lft-out`
1×	`+-commutative` `frac-times` `frac-2neg` `associate-*r/` `clear-num` `sum-log` `associate-/l/`

Counts

4 → 195

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
21.0ms	(* (+ (exp x) (exp (- x))) y)
6.0ms	(/ (/ 1 z) x)
47.0ms	(* (/ (* (+ (exp x) (exp (- x))) y) 2) (/ (/ 1 z) x))

series180.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(+ (exp x) (exp (- x)))
51.0ms	(* (+ (exp x) (exp (- x))) y)
9.0ms	(/ (/ 1 z) x)
95.0ms	(* (/ (* (+ (exp x) (exp (- x))) y) 2) (/ (/ 1 z) x))

simplify42.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	978	1905
1	5002	1623

prune502.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes169.0ms

Accuracy

94.4% (0.4b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 6.8b

bsearch102.0ms

Steps

Iters	Range		Point
7	2.694871805994863e-42	8.463071591988411e-41	1.539596801022037e-41
10	-4.666316741745024e-38	-5.3837817094177116e-49	-2.1502193184218725e-38

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	13
1	34	13

end0.0ms

sample1.0s

Algorithm

intervals

Results

585.0ms

22339×

body

valid