Details

sample45.0ms

Algorithm

intervals

Results

21.0ms

711×

body

valid

simplify55.0ms

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: 9.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
8.5b	(/ (* (cosh x) (/ y x)) z)

rewrite30.0ms

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:

15.0ms	(* (cosh x) (/ y x))
13.0ms	(/ (* (cosh x) (/ y x)) z)

series178.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (cosh x) (/ y x))
105.0ms	(/ (* (cosh x) (/ y x)) z)

simplify42.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (9.0ms)

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

prune145.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y (* x z)))
6.4b	(/ y (* x z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

24.0ms	(* (cosh x) (/ y (* x z)))
7.0ms	(/ y (* x z))

series123.0ms

Counts

2 → 6

Calls

2 calls:

104.0ms	(* (cosh x) (/ y (* x z)))
19.0ms	(/ y (* x z))

simplify33.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	259	290
1	1062	239
2	5002	239

prune106.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp (* -1 x)) (exp x))
0.6b	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
6.3b	(/ (* z x) y)

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

11.0ms	(+ (exp (* -1 x)) (exp x))
28.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
10.0ms	(/ (* z x) y)

series134.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+ (exp (* -1 x)) (exp x))
97.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (/ (* z x) y))
17.0ms	(/ (* z x) y)

simplify62.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	441	684
1	2493	546
2	5001	546

prune196.0ms

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	(+ (exp (* -1 x)) (exp x))
0.3b	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (* z x))
7.1b	(* (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (* z x)) y)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 64

Calls

3 calls:

12.0ms	(+ (exp (* -1 x)) (exp x))
29.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (* z x))
65.0ms	(* (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (* z x)) y)

series190.0ms

Counts

3 → 9

Calls

3 calls:

21.0ms	(+ (exp (* -1 x)) (exp x))
66.0ms	(/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (* z x))
103.0ms	(* (/ (* 1/2 (+ (exp (* -1 x)) (exp x))) (* z x)) y)

simplify65.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	430	749
1	2284	575
2	5003	575

prune168.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes165.0ms

Accuracy

94.7% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.9b

bsearch70.0ms

Steps

Iters	Range		Point
10	5.063610711389682e-37	1.225834153592317e-26	2.3191721167167056e-29
4	-6.07876665049474e-05	-3.7467526173041456e-05	-5.71438945780871e-05

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	17
1	38	17

end0.0ms

sample1.2s

Algorithm

intervals

Results

592.0ms

22471×

body

valid