Details

sample2.5s

Algorithm

intervals

sampling

Space saved by range analysis: 37.682882%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results

27.0ms	58×	body	1280	valid
14.0ms	29×	body	640	valid
10.0ms	136×	body	80	valid
8.0ms	11×	body	2560	valid
6.0ms	76×	body	80	nan
4.0ms	18×	body	320	valid
4.0ms	50×	body	80	invalid
1.0ms	4×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	10
1	55	10
2	76	10
3	89	10
4	92	10
5	92	10

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 24.3b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(/ a (* b 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
26.2b	(cos (- y (/ (* z t) 3.0)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`times-frac`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `associate-/r` `associate-/l` `add-log-exp`
3×	`cos-diff` `associate-r` `pow-prod-down`
2×	`cos-sum` `frac-2neg` `clear-num` `div-inv`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `*-commutative`

Counts

4 → 72

Calls

4 calls:

4.0ms	(/ (* z t) 3.0)
4.0ms	(/ a (* b 3.0))
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
5.0ms	(cos (- y (/ (* z t) 3.0)))

series47.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
3.0ms	(/ a (* b 3.0))
30.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
10.0ms	(cos (- y (/ (* z t) 3.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	419	507
1	1751	432
2	5001	432

prune256.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	64	20	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	65	20	85

Merged error: 19.1b

Counts

85 → 20

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
29.9b	(cos (/ (* z t) 3.0))
30.2b	(sin (/ (* z t) 3.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`associate-*r/`
2×	`*-commutative` `sin-mult`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `cos-mult` `flip-+` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

5.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
10.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series79.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
58.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
3.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	392	756
1	1908	649
2	5002	648

prune289.0ms

Filtered

51 candidates to 68 candidates (-33.3%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	56	12	68
Fresh	6	13	19
Picked	1	0	1
Done	0	0	0
Total	63	25	88

Merged error: 18.9b

Counts

88 → 25

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.3b	(* (sin y) (sin (/ (* z t) 3.0)))
30.1b	(cos (* 0.3333333333333333 (* t z)))
30.2b	(sin (/ (* z t) 3.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `sin-mult` `unswap-sqr`

Counts

4 → 54

Calls

4 calls:

4.0ms	(/ a (* b 3.0))
5.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
2.0ms	(cos (* 0.3333333333333333 (* t z)))
2.0ms	(sin (/ (* z t) 3.0))

series22.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
12.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
3.0ms	(cos (* 0.3333333333333333 (* t z)))
4.0ms	(sin (/ (* z t) 3.0))

simplify49.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	200	336
1	644	285
2	2118	285
3	5001	285

prune257.0ms

Filtered

49 candidates to 66 candidates (-34.7%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	62	4	66
Fresh	3	21	24
Picked	1	0	1
Done	0	0	0
Total	66	25	91

Merged error: 18.9b

Counts

91 → 25

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sin y) (sin (* 0.3333333333333333 (* t z))))
0.2b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
30.0b	(sin (* 0.3333333333333333 (* t z)))
30.1b	(cos (* 0.3333333333333333 (* t z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `add-cbrt-cube`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`associate-*r/`
2×	`*-commutative` `sin-mult`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `frac-add` `cos-mult` `flip-+` `unswap-sqr`

Counts

4 → 56

Calls

4 calls:

5.0ms	(* (sin y) (sin (* 0.3333333333333333 (* t z))))
11.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
2.0ms	(sin (* 0.3333333333333333 (* t z)))
2.0ms	(cos (* 0.3333333333333333 (* t z)))

series92.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(* (sin y) (sin (* 0.3333333333333333 (* t z))))
73.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (* 0.3333333333333333 (* t z)))) (* (sin y) (sin (* 0.3333333333333333 (* t z))))))
4.0ms	(sin (* 0.3333333333333333 (* t z)))
3.0ms	(cos (* 0.3333333333333333 (* t z)))

simplify57.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	384	756
1	1893	649
2	5002	648

prune118.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

27 alts after pruning (27 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	24	24
Picked	1	0	1
Done	0	0	0
Total	66	27	93

Merged error: 18.9b

Counts

93 → 27

regimes4.4s

Accuracy

56.1% (1.7b remaining)

Error of 18.0b against oracle of 16.4b and baseline of 20.2b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	35
1	57	35
2	57	35

end0.0ms

sample4.9s

Algorithm

intervals

sampling

Space saved by range analysis: 37.682882%

Space saved by search: 0.292611%

Guaranteed chance to sample good point: 0%

Results

740.0ms	1596×	body	1280	valid
347.0ms	4476×	body	80	valid
315.0ms	939×	body	640	valid
283.0ms	372×	body	2560	valid
183.0ms	2315×	body	80	nan
104.0ms	414×	body	320	valid
83.0ms	1124×	body	80	invalid
40.0ms	203×	body	160	valid

Details

sample2.5s

simplify10.0ms

prune5.0ms

localize20.0ms

rewrite21.0ms

series47.0ms

simplify50.0ms

prune256.0ms

localize28.0ms

rewrite20.0ms

series79.0ms

simplify56.0ms

prune289.0ms

localize28.0ms

rewrite14.0ms

series22.0ms

simplify49.0ms

prune257.0ms

localize25.0ms

rewrite22.0ms

series92.0ms

simplify57.0ms

prune118.0ms

regimes4.4s

bsearch2.0ms

simplify2.0ms

end0.0ms

sample4.9s

Profiling