Details

sample60.0ms

Algorithm

intervals

Results

42.0ms

725×

body

valid

simplify55.0ms

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: 8.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
7.5b	(/ (* (cosh x) (/ y x)) z)

rewrite15.0ms

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:

7.0ms	(* (cosh x) (/ y x))
6.0ms	(/ (* (cosh x) (/ y x)) z)

series200.0ms

Counts

2 → 6

Calls

2 calls:

81.0ms	(* (cosh x) (/ y x))
118.0ms	(/ (* (cosh x) (/ y x)) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (11.0ms)

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

prune165.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
0.2b	(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y))
7.5b	(/ (/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y)) z)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

471×	`times-frac`
230×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
47×	`associate-/l*`
22×	`div-inv`
17×	`add-exp-log` `add-cbrt-cube`
16×	`associate-/r*`
9×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`fma-udef` `associate-/l/`

Counts

3 → 280

Calls

3 calls:

0.0ms	(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
5.0ms	(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y))
16.0ms	(/ (/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y)) z)

series248.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
79.0ms	(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y))
119.0ms	(/ (/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (/ x y)) z)

simplify76.0ms

Algorithm

egg-herbie

Counts

289 → 289

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1181	4690
1	5001	4522

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
0.6b	(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (* z (/ x y)))
6.7b	(* z (/ x y))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 70

Calls

3 calls:

0.0ms	(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
5.0ms	(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (* z (/ x y)))
8.0ms	(* z (/ x y))

series210.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))
137.0ms	(/ (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))) (* z (/ x y)))
18.0ms	(* z (/ x y))

simplify51.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	326	566
1	1692	472
2	5001	472

prune235.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)
6.6b	(* (/ (/ (* (cbrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))) (cbrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))))) x) (* (cbrt z) (cbrt z))) (/ (cbrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))) (/ (cbrt z) y)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

301×	`times-frac`
205×	`add-sqr-sqrt`
144×	`cbrt-prod`
137×	`associate-r`
133×	`add-cube-cbrt` `*-un-lft-identity`
112×	`add-exp-log`
61×	`add-cbrt-cube`
51×	`cbrt-undiv` `div-exp`
36×	`prod-exp` `cbrt-unprod`
21×	`unswap-sqr`
11×	`associate-l`
9×	`div-inv`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `*-commutative`

Counts

4 → 264

Calls

4 calls:

0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)
85.0ms	(* (/ (/ (* (cbrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))) (cbrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))))) x) (* (cbrt z) (cbrt z))) (/ (cbrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))) (/ (cbrt z) y)))

series730.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt z)
183.0ms	(cbrt z)
182.0ms	(cbrt z)
172.0ms	(* (/ (/ (* (cbrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))) (cbrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x))))) x) (* (cbrt z) (cbrt z))) (/ (cbrt (fma 1/2 (exp (* -1 x)) (* 1/2 (exp x)))) (/ (cbrt z) y)))

simplify105.0ms

Algorithm

egg-herbie

Counts

276 → 276

Iterations

Useful iterations: 1 (36.0ms)

Iter	Nodes	Cost
0	1750	8067
1	5002	7286

prune1.2s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes206.0ms

Accuracy

95.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.6b

bsearch128.0ms

Steps

Iters	Range		Point
10	1.1540543818649205e-35	1.1432380193496929e-25	7.25860780760428e-28
8	-4.357630988761951e+21	-1.329000084007943e+18	-3.7750383628585267e+18

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	9
1	27	9

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.3s

22168×

body

valid