Details

sample108.0ms

Algorithm: halfpoints

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	47	7
2	84	7
3	121	7
4	206	7
5	410	7
6	1017	7
7	2074	7
8	5001	7

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

5.0ms	(+ (exp x) (exp (- x)))
26.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

series86.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (exp x) (exp (- x)))
63.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))

simplify165.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	277	461
1	1018	404
2	4757	402
3	5001	402

prune143.0ms

Filtered

53 candidates to 40 candidates (75.5%)

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
0.0b	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
0.1b	(* 1/12 (pow x 4))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
19×	`associate-l`
15×	`add-cube-cbrt`
13×	`add-exp-log` `times-frac`
10×	`associate-r` `add-cbrt-cube`
8×	`add-log-exp`
5×	`pow1` `prod-exp` `unswap-sqr`
4×	`unpow-prod-down` `distribute-lft-out`
3×	`sum-log` `cbrt-unprod`
2×	`*-commutative` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `div-exp` `pow-prod-down` `associate-*l/` `pow-exp` `flip-+` `div-inv`

Counts

3 → 74

Calls

3 calls:

13.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
54.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
5.0ms	(* 1/12 (pow x 4))

series144.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(+ (pow x 2) (+ (* 1/12 (pow x 4)) 2))
68.0ms	(* (/ (+ (pow x 2) (+ (* 1/12 (pow x 4)) 2)) 2.0) (cos y))
36.0ms	(* 1/12 (pow x 4))

simplify44.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	365	633
1	1558	562
2	5002	559

prune202.0ms

Filtered

83 candidates to 55 candidates (66.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp x) (exp (- x)))
0.0b	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
0.3b	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
0.4b	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity`
20×	`add-sqr-sqrt`
16×	`associate-l`
15×	`add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
13×	`times-frac`
9×	`pow1`
8×	`cbrt-prod`
6×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod` `distribute-lft-out`
3×	`pow-unpow` `associate-r` `associate-*l/` `pow-exp` `rem-cube-cbrt`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `div-exp` `pow-prod-down` `unswap-sqr` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `cbrt-div` `flip3-+` `pow1/3` `sum-log` `*-commutative` `rem-cbrt-cube` `flip-+` `div-inv`

Counts

4 → 90

Calls

4 calls:

5.0ms	(+ (exp x) (exp (- x)))
26.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
1.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
9.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

series224.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (exp x) (exp (- x)))
60.0ms	(* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))
59.0ms	(cbrt (pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3))
82.0ms	(pow (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) 3)

simplify53.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	383	858
1	1701	826
2	5002	823

prune282.0ms

Filtered

102 candidates to 74 candidates (72.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
0.3b	(* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.3b	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
0.3b	(cbrt (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1`
42×	`add-exp-log`
40×	`add-cbrt-cube`
28×	`associate-*l/`
22×	`prod-exp` `cbrt-unprod`
19×	`pow-prod-down`
14×	`cbrt-div`
9×	`add-sqr-sqrt`
7×	`frac-times`
6×	`cbrt-undiv` `cbrt-prod` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
5×	`associate-r/` `associate-r` `associate-l*`
4×	`pow1/3` `pow-sqr` `pow-prod-up` `add-log-exp`
2×	`pow-plus` `*-commutative` `unswap-sqr`
1×	`pow2` `swap-sqr` `pow3`

Counts

4 → 99

Calls

4 calls:

16.0ms	(* (cbrt (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
55.0ms	(* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
7.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
52.0ms	(cbrt (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

series521.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(* (cbrt (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))) (cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))
75.0ms	(* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
140.0ms	(cbrt (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)))
171.0ms	(cbrt (* (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y)) (* (/ (+ (exp x) (exp (- x))) 2.0) (cos y))))

simplify58.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	489	2007
1	2195	1554
2	5002	1440

prune265.0ms

Filtered

111 candidates to 65 candidates (58.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.6b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 0.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	8
1	18	8

end0.0ms

sample1.8s

Algorithm: halfpoints