Details

sample131.0ms

Algorithm

intervals

Results

26.0ms	334×	body	80	nan
23.0ms	51×	body	1280	valid
14.0ms	198×	body	80	valid
8.0ms	12×	body	2560	valid
7.0ms	22×	body	640	valid
3.0ms	15×	body	320	valid
1.0ms	5×	body	160	valid

simplify9.0ms

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

prune7.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 18.1b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.2b	(/ (* z t) 3.0)
0.3b	(/ a (* b 3.0))
21.8b	(cos (- y (/ (* z t) 3.0)))

rewrite22.0ms

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:

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

series236.0ms

Counts

4 → 12

Calls

4 calls:

144.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
22.0ms	(/ (* z t) 3.0)
30.0ms	(/ a (* b 3.0))
40.0ms	(cos (- y (/ (* z t) 3.0)))

simplify50.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	419	507
1	1751	432
2	5002	432

prune540.0ms

Filtered

84 candidates to 59 candidates (29.8%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	63	21	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	64	21	85

Merged error: 14.5b

Counts

85 → 21

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
2.0b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.6b	(sin (/ (* z t) 3.0))
27.9b	(cos (/ (* z t) 3.0))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

4.0ms	(/ a (* b 3.0))
10.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms	(sin (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))

series193.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ a (* b 3.0))
139.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
19.0ms	(sin (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))

simplify45.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	329	482
1	1223	383
2	5001	383

prune468.0ms

Filtered

70 candidates to 49 candidates (30.0%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	62	8	70
Fresh	3	17	20
Picked	1	0	1
Done	0	0	0
Total	66	25	91

Merged error: 14.4b

Counts

91 → 25

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
2.0b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
27.9b	(cos (/ (* z t) 3.0))
28.0b	(sin (* 0.3333333333333333 (* t z)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

4.0ms	(/ a (* b 3.0))
9.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
2.0ms	(cos (/ (* z t) 3.0))
3.0ms	(sin (* 0.3333333333333333 (* t z)))

series198.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ a (* b 3.0))
136.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
11.0ms	(cos (/ (* z t) 3.0))
23.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify43.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	326	482
1	1226	383
2	5001	383

prune453.0ms

Filtered

70 candidates to 47 candidates (32.9%)

Pruning

26 alts after pruning (26 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	1	23	24
Picked	1	0	1
Done	0	0	0
Total	69	26	95

Merged error: 14.4b

Counts

95 → 26

localize36.0ms

Local error

Found 4 expressions with local error:

27.9b	(cos (/ (* z t) 3.0))
27.9b	(cos (/ (* z t) 3.0))
27.9b	(cos (/ (* z t) 3.0))
28.0b	(sin (* 0.3333333333333333 (* t z)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`

Counts

4 → 28

Calls

4 calls:

2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(cos (/ (* z t) 3.0))
3.0ms	(sin (* 0.3333333333333333 (* t z)))

series59.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(cos (/ (* z t) 3.0))
15.0ms	(cos (/ (* z t) 3.0))
12.0ms	(cos (/ (* z t) 3.0))
21.0ms	(sin (* 0.3333333333333333 (* t z)))

simplify110.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	35	186
1	49	158
2	61	158
3	70	158
4	98	158
5	172	158
6	691	158
7	2256	158
8	5001	158

prune241.0ms

Filtered

40 candidates to 35 candidates (12.5%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	1	24	25
Picked	1	0	1
Done	0	0	0
Total	38	28	66

Merged error: 14.3b

Counts

66 → 28

regimes5.3s

Accuracy

62.8% (1.4b remaining)

Error of 18.0b against oracle of 16.6b and baseline of 20.3b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	46
1	61	46
2	61	46

end0.0ms

sample3.6s

Algorithm

intervals

Results

724.0ms	1634×	body	1280	valid
633.0ms	9208×	body	80	nan
399.0ms	5524×	body	80	valid
299.0ms	939×	body	640	valid
283.0ms	384×	body	2560	valid
97.0ms	426×	body	320	valid
35.0ms	208×	body	160	valid

Details

sample131.0ms

simplify9.0ms

prune7.0ms

localize20.0ms

rewrite22.0ms

series236.0ms

simplify50.0ms

prune540.0ms

localize27.0ms

rewrite20.0ms

series193.0ms

simplify45.0ms

prune468.0ms

localize30.0ms

rewrite19.0ms

series198.0ms

simplify43.0ms

prune453.0ms

localize36.0ms

rewrite10.0ms

series59.0ms

simplify110.0ms

prune241.0ms

regimes5.3s

bsearch3.0ms

simplify2.0ms

end0.0ms

sample3.6s

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