Details

sample36.0ms

Algorithm

intervals

Results

18.0ms

726×

body

valid

simplify51.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	4
1	41	4
2	102	4
3	228	4
4	411	4
5	786	4
6	2469	4
7	5002	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
6.8b	(/ (* (cosh x) (/ y x)) z)

rewrite17.0ms

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×	`expm1-log1p-u` `frac-times` `associate-r/` `associate-l/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

2 → 64

Calls

2 calls:

10.0ms	(* (cosh x) (/ y x))
5.0ms	(/ (* (cosh x) (/ y x)) z)

series184.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (cosh x) (/ y x))
108.0ms	(/ (* (cosh x) (/ y x)) z)

simplify39.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	352	391
1	1472	333
2	5001	333

prune157.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (/ y x) (cosh x))
6.8b	(/ (* (/ y x) (cosh x)) z)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
16×	`add-exp-log` `add-cbrt-cube`
13×	`times-frac` `associate-l`
12×	`add-cube-cbrt` `*-un-lft-identity`
5×	`cbrt-undiv` `div-exp`
4×	`pow1` `cosh-def` `prod-exp` `cbrt-unprod`
3×	`associate-r` `associate-/r*` `associate-/l/`
2×	`expm1-log1p-u` `frac-times` `associate-r/` `associate-l/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `-commutative` `associate-/l`

Counts

2 → 64

Calls

2 calls:

8.0ms	(* (/ y x) (cosh x))
6.0ms	(/ (* (/ y x) (cosh x)) z)

series217.0ms

Counts

2 → 6

Calls

2 calls:

105.0ms	(* (/ y x) (cosh x))
112.0ms	(/ (* (/ y x) (cosh x)) z)

simplify44.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	351	386
1	1560	327
2	5001	310

prune154.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log` `add-cbrt-cube`
10×	`*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt`
6×	`cbrt-undiv` `add-cube-cbrt` `div-exp`
5×	`pow1` `add-log-exp`
4×	`associate-r/` `associate-r*`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `associate-l` `flip-+` `log1p-expm1-u`
2×	`associate-/l/` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

3 → 71

Calls

3 calls:

6.0ms	(+ (exp x) (exp (- x)))
20.0ms	(* y (+ (exp x) (exp (- x))))
13.0ms	(/ (* y (+ (exp x) (exp (- x)))) (* z (* x 2)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (exp x) (exp (- x)))
47.0ms	(* y (+ (exp x) (exp (- x))))
99.0ms	(/ (* y (+ (exp x) (exp (- x)))) (* z (* x 2)))

simplify70.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	449	688
1	2676	539
2	5001	538

prune223.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

100×	`add-exp-log`
56×	`add-cbrt-cube`
38×	`div-exp`
37×	`prod-exp`
26×	`times-frac`
23×	`*-un-lft-identity`
21×	`add-sqr-sqrt`
19×	`cbrt-undiv` `add-cube-cbrt` `cbrt-unprod`
12×	`associate-*r/`
11×	`associate-/r/`
8×	`associate-/r*`
7×	`pow1` `rec-exp` `flip3-+` `1-exp` `flip-+`
6×	`div-inv` `add-log-exp`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `associate-/l*`
3×	`fma-def` `associate-l`
2×	`frac-2neg` `clear-num` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

6.0ms	(+ (exp x) (exp (- x)))
20.0ms	(* y (+ (exp x) (exp (- x))))
27.0ms	(/ 1 (/ (* z (* x 2)) (* y (+ (exp x) (exp (- x))))))
12.0ms	(/ (* z (* x 2)) (* y (+ (exp x) (exp (- x)))))

series281.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (exp x) (exp (- x)))
44.0ms	(* y (+ (exp x) (exp (- x))))
116.0ms	(/ 1 (/ (* z (* x 2)) (* y (+ (exp x) (exp (- x))))))
100.0ms	(/ (* z (* x 2)) (* y (+ (exp x) (exp (- x)))))

simplify113.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (99.0ms)

Iter	Nodes	Cost
0	685	1752
1	4308	1429
2	5002	1406

prune324.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes142.0ms

Accuracy

91.5% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 7.1b

bsearch105.0ms

Steps

Iters	Range		Point
8	1.7311542680296076e-71	3.564777018329594e-67	2.9850539096426896e-67
9	-2.3494833097422614e-45	-1.3803277359183293e-50	-4.25583918284501e-46

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	16
1	38	16
2	38	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

573.0ms

22310×

body

valid