Details

sample60.0ms

Algorithm

intervals

Results

40.0ms

761×

body

valid

simplify54.0ms

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	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: 8.5b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
8.0b	(/ (* (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)

series193.0ms

Counts

2 → 6

Calls

2 calls:

75.0ms	(* (cosh x) (/ y x))
118.0ms	(/ (* (cosh x) (/ y x)) z)

simplify52.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (10.0ms)

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

prune153.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.2b	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y))
8.0b	(/ (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y)) z)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

173×	`times-frac`
70×	`*-un-lft-identity`
68×	`add-sqr-sqrt` `add-cube-cbrt`
33×	`add-exp-log` `add-cbrt-cube`
19×	`associate-/l*`
17×	`cbrt-undiv` `div-exp`
16×	`associate-/r*`
12×	`div-inv`
5×	`associate-/r/` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`pow1` `associate-/l/`
2×	`frac-2neg` `flip3-+` `associate-*r/` `clear-num` `flip-+`
1×	`+-commutative` `sum-log` `distribute-lft-out`

Counts

3 → 156

Calls

3 calls:

4.0ms	(+ (exp (* -1 x)) (exp x))
10.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y))
18.0ms	(/ (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y)) z)

series173.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (exp (* -1 x)) (exp x))
64.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y))
88.0ms	(/ (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ x y)) z)

simplify99.0ms

Algorithm

egg-herbie

Counts

165 → 165

Iterations

Useful iterations: 1 (20.0ms)

Iter	Nodes	Cost
0	856	1876
1	4026	1689
2	5003	1689

prune485.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.6b	(/ (+ (exp (* -1 x)) (exp x)) (/ z y))
5.9b	(* (/ 1/2 x) (/ (+ (exp (* -1 x)) (exp x)) (/ z y)))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

203×	`times-frac`
157×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
101×	`add-cube-cbrt`
57×	`associate-r`
29×	`add-exp-log` `add-cbrt-cube`
28×	`distribute-lft-out`
13×	`associate-l` `associate-/r*`
12×	`cbrt-undiv` `div-exp` `div-inv`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`pow1` `add-log-exp`
4×	`associate-/l*`
2×	`flip3-+` `associate-/r/` `flip-+` `associate-/l/`
1×	`+-commutative` `frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `sum-log` `*-commutative`

Counts

3 → 198

Calls

3 calls:

4.0ms	(+ (exp (* -1 x)) (exp x))
14.0ms	(/ (+ (exp (* -1 x)) (exp x)) (/ z y))
45.0ms	(* (/ 1/2 x) (/ (+ (exp (* -1 x)) (exp x)) (/ z y)))

series207.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(+ (exp (* -1 x)) (exp x))
71.0ms	(/ (+ (exp (* -1 x)) (exp x)) (/ z y))
110.0ms	(* (/ 1/2 x) (/ (+ (exp (* -1 x)) (exp x)) (/ z y)))

simplify109.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	915	2295
1	4558	2121
2	5003	2121

prune527.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

1091×	`times-frac`
644×	`*-un-lft-identity`
525×	`add-sqr-sqrt`
468×	`add-cube-cbrt`
213×	`associate-r`
101×	`add-exp-log`
86×	`distribute-lft-out`
64×	`div-inv`
59×	`add-cbrt-cube`
58×	`div-exp`
30×	`cbrt-undiv`
20×	`associate-/l*`
18×	`prod-exp`
16×	`associate-/r*`
14×	`unswap-sqr`
13×	`associate-l`
10×	`cbrt-unprod`
6×	`pow1` `rec-exp` `1-exp` `add-log-exp`
3×	`associate-/l/`
2×	`frac-2neg` `flip3-+` `clear-num` `associate-/r/` `flip-+`
1×	`+-commutative` `frac-times` `associate-r/` `pow-prod-down` `associate-l/` `sum-log` `*-commutative`

Counts

4 → 586

Calls

4 calls:

4.0ms	(+ (exp (* -1 x)) (exp x))
11.0ms	(/ (+ (exp (* -1 x)) (exp x)) z)
20.0ms	(/ (/ (+ (exp (* -1 x)) (exp x)) z) (/ 1 y))
107.0ms	(* (/ 1/2 x) (/ (/ (+ (exp (* -1 x)) (exp x)) z) (/ 1 y)))

series262.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp (* -1 x)) (exp x))
47.0ms	(/ (+ (exp (* -1 x)) (exp x)) z)
77.0ms	(/ (/ (+ (exp (* -1 x)) (exp x)) z) (/ 1 y))
115.0ms	(* (/ 1/2 x) (/ (/ (+ (exp (* -1 x)) (exp x)) z) (/ 1 y)))

simplify120.0ms

Algorithm

egg-herbie

Counts

598 → 598

Iterations

Useful iterations: 1 (47.0ms)

Iter	Nodes	Cost
0	2478	8141
1	5002	7513

prune1.5s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes163.0ms

Accuracy

83.8% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 6.9b

bsearch121.0ms

Steps

Iters	Range		Point
9	2.1044065170581486e-115	2.9726885121273953e-108	2.9332543178834714e-108
8	-1.9041732611813586e-85	-2.2839527955522386e-88	-1.879887519829394e-85

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	17
1	37	17

end0.0ms

sample1.5s

Algorithm

intervals

Results

1.1s

22412×

body

valid