Details

sample34.0ms

Algorithm

intervals

Results

17.0ms

701×

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	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: 5.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
5.2b	(/ (* (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))
5.0ms	(/ (* (cosh x) (/ y x)) z)

series186.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (cosh x) (/ y x))
110.0ms	(/ (* (cosh x) (/ y x)) z)

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

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

prune161.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ y x))
5.3b	(* (* (cosh x) (/ y x)) (/ 1 z))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
28×	`add-cbrt-cube`
26×	`associate-r`
22×	`add-sqr-sqrt` `prod-exp`
19×	`times-frac`
17×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-unprod`
11×	`div-exp`
9×	`pow1`
6×	`cbrt-undiv` `frac-times` `cosh-def` `associate-*l/`
4×	`associate-r/` `associate-l*` `pow-prod-down`
3×	`rec-exp` `1-exp`
2×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`un-div-inv`

Counts

2 → 88

Calls

2 calls:

8.0ms	(* (cosh x) (/ y x))
17.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

series186.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(* (cosh x) (/ y x))
109.0ms	(* (* (cosh x) (/ y x)) (/ 1 z))

simplify56.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	522	597
1	2479	490
2	5001	477

prune186.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(/ (* (+ (exp x) (exp (- x))) y) z)
0.0b	(* (+ (exp x) (exp (- x))) y)
5.0b	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
17×	`*-un-lft-identity`
16×	`times-frac`
15×	`add-sqr-sqrt`
13×	`add-cube-cbrt`
12×	`cbrt-undiv` `div-exp`
8×	`associate-/l*`
7×	`prod-exp` `cbrt-unprod`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `associate-l` `associate-l/` `associate-/r` `log1p-expm1-u` `div-inv`
3×	`fma-def` `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 → 105

Calls

4 calls:

6.0ms	(+ (exp x) (exp (- x)))
9.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
21.0ms	(* (+ (exp x) (exp (- x))) y)
12.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

series240.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
68.0ms	(/ (* (+ (exp x) (exp (- x))) y) z)
58.0ms	(* (+ (exp x) (exp (- x))) y)
91.0ms	(/ (/ (* (+ (exp x) (exp (- x))) y) z) (* 2 x))

simplify71.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	507	1005
1	2589	818
2	5001	811

prune313.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (+ (exp x) (exp (- x))) (/ y z))
5.0b	(/ (* (+ (exp x) (exp (- x))) (/ y z)) (* 2 x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
13×	`associate-r`
12×	`add-cube-cbrt`
11×	`times-frac`
9×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
5×	`pow1` `flip3-+` `flip-+` `associate-/l/` `add-log-exp`
4×	`frac-times` `associate-l` `associate-*l/`
3×	`expm1-log1p-u` `fma-def` `log1p-expm1-u`
2×	`associate-*r/` `div-inv` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `sum-log` `-commutative` `associate-/l*`

Counts

3 → 88

Calls

3 calls:

6.0ms	(+ (exp x) (exp (- x)))
26.0ms	(* (+ (exp x) (exp (- x))) (/ y z))
12.0ms	(/ (* (+ (exp x) (exp (- x))) (/ y z)) (* 2 x))

series192.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+ (exp x) (exp (- x)))
66.0ms	(* (+ (exp x) (exp (- x))) (/ y z))
103.0ms	(/ (* (+ (exp x) (exp (- x))) (/ y z)) (* 2 x))

simplify76.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	534	891
1	2997	722
2	5001	712

prune245.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes128.0ms

Accuracy

95.1% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 6.7b

bsearch77.0ms

Steps

Iters	Range		Point
8	2.1342576709609094e-48	7.354326544590892e-45	7.225664955895723e-45
6	-1.1764811684851881e+22	-8.930608612865615e+20	-1.948241059787097e+21

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	16
1	37	16

end0.0ms

sample1.0s

Algorithm

intervals

Results

578.0ms

22433×

body

valid