Details

sample92.0ms

Algorithm

intervals

Results

35.0ms	104×	body	1280	valid
19.0ms	249×	body	80	valid
18.0ms	85×	body	640	valid
5.0ms	30×	body	320	valid
2.0ms	16×	body	160	valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	28	4
2	56	4
3	98	4
4	143	4
5	310	4
6	877	4
7	1824	4
8	5001	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cosh x) (/ (sin y) y))
0.1b	(/ (sin y) y)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

8.0ms	(* (cosh x) (/ (sin y) y))
3.0ms	(/ (sin y) y)

series98.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* (cosh x) (/ (sin y) y))
25.0ms	(/ (sin y) y)

simplify35.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	263	392
1	1063	349
2	5001	337

prune143.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (cosh x))
0.0b	(* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt (cosh x)) (/ (sin y) y)))
0.0b	(* (cbrt (cosh x)) (cbrt (cosh x)))
0.1b	(/ (sin y) y)

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log` `add-sqr-sqrt` `cbrt-div` `cosh-def`
23×	`pow1`
21×	`add-cube-cbrt` `*-un-lft-identity`
19×	`cbrt-prod`
18×	`frac-times`
17×	`add-cbrt-cube`
14×	`prod-exp` `cbrt-unprod`
12×	`associate-r/` `associate-l/`
10×	`pow-prod-down`
9×	`times-frac`
7×	`pow1/3` `associate-r` `associate-l`
6×	`swap-sqr`
4×	`add-log-exp` `unswap-sqr`
3×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l`
2×	`pow-sqr` `*-commutative` `pow-prod-up`
1×	`pow2` `frac-2neg` `pow-plus` `clear-num` `div-inv`

Counts

4 → 123

Calls

4 calls:

1.0ms	(cbrt (cosh x))
26.0ms	(* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt (cosh x)) (/ (sin y) y)))
6.0ms	(* (cbrt (cosh x)) (cbrt (cosh x)))
3.0ms	(/ (sin y) y)

series481.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(cbrt (cosh x))
77.0ms	(* (* (cbrt (cosh x)) (cbrt (cosh x))) (* (cbrt (cosh x)) (/ (sin y) y)))
225.0ms	(* (cbrt (cosh x)) (cbrt (cosh x)))
25.0ms	(/ (sin y) y)

simplify64.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	507	1197
1	1975	998
2	5001	905

prune295.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (cosh x))) (* (cbrt (cosh x)) (sin y)))
0.2b	(/ (* (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (cosh x))) (* (cbrt (cosh x)) (sin y))) (* (cbrt 2) y))
1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt 2)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-exp-log`
42×	`cbrt-div`
34×	`add-cbrt-cube`
30×	`associate-*l/`
29×	`prod-exp` `cbrt-unprod`
24×	`cosh-def`
18×	`frac-times`
16×	`pow1`
11×	`associate-/l/`
10×	`cbrt-undiv` `div-exp`
9×	`flip3-+` `flip-+`
8×	`*-un-lft-identity` `pow-prod-down`
7×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
4×	`add-log-exp`
2×	`pow1/3`
1×	`frac-2neg` `times-frac` `associate-r` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

4 → 102

Calls

4 calls:

38.0ms	(* (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (cosh x))) (* (cbrt (cosh x)) (sin y)))
38.0ms	(/ (* (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (cosh x))) (* (cbrt (cosh x)) (sin y))) (* (cbrt 2) y))
5.0ms	(cbrt (+ (exp x) (exp (- x))))
1.0ms	(cbrt 2)

series557.0ms

Counts

4 → 10

Calls

4 calls:

191.0ms	(* (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (cosh x))) (* (cbrt (cosh x)) (sin y)))
243.0ms	(/ (* (* (cbrt (+ (exp x) (exp (- x)))) (cbrt (cosh x))) (* (cbrt (cosh x)) (sin y))) (* (cbrt 2) y))
122.0ms	(cbrt (+ (exp x) (exp (- x))))
0.0ms	(cbrt 2)

simplify103.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (90.0ms)

Iter	Nodes	Cost
0	645	1824
1	3614	1428
2	5002	1404

prune389.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt (+ (exp x) (exp (- x))))
1.0b	(cbrt 2)
1.0b	(cbrt 2)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
12×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `cbrt-div` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 50

Calls

4 calls:

5.0ms	(cbrt (+ (exp x) (exp (- x))))
8.0ms	(cbrt (+ (exp x) (exp (- x))))
0.0ms	(cbrt 2)
1.0ms	(cbrt 2)

series261.0ms

Counts

4 → 8

Calls

4 calls:

131.0ms	(cbrt (+ (exp x) (exp (- x))))
129.0ms	(cbrt (+ (exp x) (exp (- x))))
0.0ms	(cbrt 2)
0.0ms	(cbrt 2)

simplify101.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	159	426
1	610	382
2	3448	362
3	5001	362

prune265.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	11
1	11	11

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.0s	3003×	body	1280	valid
569.0ms	8637×	body	80	valid
529.0ms	2448×	body	640	valid
192.0ms	1233×	body	320	valid
71.0ms	626×	body	160	valid