Details

sample161.0ms

Algorithm

intervals

Results

58.0ms	53×	body	2560	valid
53.0ms	79×	body	1280	valid
14.0ms	37×	body	640	valid
5.0ms	20×	body	320	valid
5.0ms	59×	body	80	valid
3.0ms	1×	body	5120	valid
1.0ms	7×	body	160	valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	44	14
1	103	14
2	234	14
3	450	14
4	800	14
5	1136	14
6	1376	14
7	1482	14
8	1676	14
9	1712	14
10	1712	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 47.0b

localize31.0ms

Local error

Found 4 expressions with local error:

2.0b	(* (* (+ (* a 2.0) 1.0) b) t)
2.0b	(* (* (+ (* y 2.0) 1.0) z) t)
34.9b	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
37.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
8×	`associate-*l/`
6×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+`

Counts

4 → 62

Calls

4 calls:

15.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
15.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
2.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series163.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
41.0ms	(* (* (+ (* y 2.0) 1.0) z) t)
39.0ms	(cos (/ (* (* (+ (* y 2.0) 1.0) z) t) 16.0))
35.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	387	460
1	1897	378
2	5001	372

prune415.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 41.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
0.2b	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
2.0b	(* (* (+ (* a 2.0) 1.0) b) t)
37.3b	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
14×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l/`
6×	`associate-r` `pow-prod-down`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `associate-/r*`
2×	`flip3-+` `associate-l` `*-commutative` `flip-+` `associate-/l/`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*`

Counts

4 → 78

Calls

4 calls:

7.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
16.0ms	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
15.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
2.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

series201.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* (* x (cos (/ 0 16.0))) (cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)))
49.0ms	(/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0)
41.0ms	(* (* (+ (* a 2.0) 1.0) b) t)
39.0ms	(cos (/ (* (* (+ (* a 2.0) 1.0) b) t) 16.0))

simplify63.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	429	725
1	2175	565
2	5001	552

prune442.0ms

Pruning

37 alts after pruning (37 fresh and 0 done)

Merged error: 39.9b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune139.0ms

Pruning

37 alts after pruning (36 fresh and 1 done)

Merged error: 39.9b

localize24.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt 16.0)
1.0b	(cbrt 16.0)
2.2b	(* (fma a 2.0 1.0) (* b t))
37.3b	(cos (/ (/ (/ (* (fma a 2.0 1.0) (* b t)) (cbrt 16.0)) (cbrt 16.0)) (cbrt 16.0)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow1/3`
1×	`associate-r` `*-commutative`

Counts

4 → 55

Calls

4 calls:

0.0ms	(cbrt 16.0)
1.0ms	(cbrt 16.0)
6.0ms	(* (fma a 2.0 1.0) (* b t))
33.0ms	(cos (/ (/ (/ (* (fma a 2.0 1.0) (* b t)) (cbrt 16.0)) (cbrt 16.0)) (cbrt 16.0)))

series149.0ms

Counts

4 → 8

Calls

4 calls:

0.0ms	(cbrt 16.0)
0.0ms	(cbrt 16.0)
47.0ms	(* (fma a 2.0 1.0) (* b t))
101.0ms	(cos (/ (/ (/ (* (fma a 2.0 1.0) (* b t)) (cbrt 16.0)) (cbrt 16.0)) (cbrt 16.0)))

simplify74.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	165	349
1	559	297
2	2641	287
3	5003	287

prune267.0ms

Pruning

42 alts after pruning (41 fresh and 1 done)

Merged error: 39.7b

regimes2.7s

Accuracy

-10.1% (5.3b remaining)

Error of 44.8b against oracle of 39.5b and baseline of 44.3b

bsearch189.0ms

Steps

Iters	Range		Point
9	1.926474954902989e+73	3.252487136539246e+78	6.980793815325519e+74

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	18
1	37	18
2	37	18

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.1s	1879×	body	2560	valid
1.4s	2245×	body	1280	valid
444.0ms	1142×	body	640	valid
165.0ms	1902×	body	80	valid
152.0ms	556×	body	320	valid
103.0ms	41×	body	5120	valid
46.0ms	235×	body	160	valid