Details

sample114.0ms

Algorithm

intervals

Results

21.0ms	287×	body	80	nan
20.0ms	44×	body	1280	valid
15.0ms	14×	body	2560	valid
14.0ms	182×	body	80	valid
9.0ms	29×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	7×	body	160	valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 (0.0%)

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: 20.1b

Counts

2 → 1

localize21.0ms

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))))
25.5b	(cos (- y (/ (* z t) 3.0)))

rewrite28.0ms

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:

5.0ms	(/ (* z t) 3.0)
5.0ms	(/ a (* b 3.0))
8.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
8.0ms	(cos (- y (/ (* z t) 3.0)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(/ (* z t) 3.0)
17.0ms	(/ a (* b 3.0))
95.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
33.0ms	(cos (- y (/ (* z t) 3.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	404	507
1	1689	429
2	5001	426

prune315.0ms

Filtered

84 candidates to 58 candidates (69.0%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	65	19	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	19	85

Merged error: 16.3b

Counts

85 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (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)))))
28.4b	(cos (/ (* z t) 3.0))
28.5b	(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))

series254.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (sin y) (sin (/ (* z t) 3.0)))
189.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (cos (/ (* z t) 3.0))) (* (sin y) (sin (/ (* z t) 3.0)))))
9.0ms	(cos (/ (* z t) 3.0))
16.0ms	(sin (/ (* z t) 3.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	365	754
1	1772	643
2	5001	640

prune329.0ms

Filtered

68 candidates to 50 candidates (73.5%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	60	8	68
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	64	23	87

Merged error: 16.3b

Counts

87 → 23

localize28.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 2.0 (sqrt x)) (+ (* (cos y) (log (exp (cos (/ (* z t) 3.0))))) (* (sin y) (sin (/ (* z t) 3.0)))))
0.4b	(log (exp (cos (/ (* z t) 3.0))))
28.4b	(cos (/ (* z t) 3.0))
28.5b	(sin (/ (* z t) 3.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 51

Calls

4 calls:

11.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (log (exp (cos (/ (* z t) 3.0))))) (* (sin y) (sin (/ (* z t) 3.0)))))
3.0ms	(log (exp (cos (/ (* z t) 3.0))))
2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series225.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(* (* 2.0 (sqrt x)) (+ (* (cos y) (log (exp (cos (/ (* z t) 3.0))))) (* (sin y) (sin (/ (* z t) 3.0)))))
9.0ms	(log (exp (cos (/ (* z t) 3.0))))
9.0ms	(cos (/ (* z t) 3.0))
18.0ms	(sin (/ (* z t) 3.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	327	733
1	1493	609
2	5002	599

prune361.0ms

Filtered

63 candidates to 48 candidates (76.2%)

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	60	3	63
Fresh	2	20	22
Picked	1	0	1
Done	0	0	0
Total	63	23	86

Merged error: 16.3b

Counts

86 → 23

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (pow (cos (/ (* z t) 3.0)) 3))
0.4b	(log (exp (cbrt (pow (cos (/ (* z t) 3.0)) 3))))
28.4b	(cos (/ (* z t) 3.0))
28.5b	(sin (/ (* z t) 3.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
16×	`log-pow`
15×	`exp-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`log-prod`
2×	`cube-mult` `unpow3` `sqr-pow`
1×	`pow1/3` `rem-log-exp` `rem-cbrt-cube`

Counts

4 → 62

Calls

4 calls:

3.0ms	(cbrt (pow (cos (/ (* z t) 3.0)) 3))
5.0ms	(log (exp (cbrt (pow (cos (/ (* z t) 3.0)) 3))))
2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series48.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(cbrt (pow (cos (/ (* z t) 3.0)) 3))
14.0ms	(log (exp (cbrt (pow (cos (/ (* z t) 3.0)) 3))))
9.0ms	(cos (/ (* z t) 3.0))
15.0ms	(sin (/ (* z t) 3.0))

simplify98.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 4 (92.0ms)

Iter	Nodes	Cost
0	132	383
1	310	368
2	758	368
3	3243	368
4	5001	329

prune301.0ms

Filtered

74 candidates to 52 candidates (70.3%)

Pruning

24 alts after pruning (24 fresh and 0 done)

	Pruned	Kept	Total
New	71	3	74
Fresh	1	21	22
Picked	1	0	1
Done	0	0	0
Total	73	24	97

Merged error: 16.3b

Counts

97 → 24

regimes2.1s

Accuracy

53.3% (1.6b remaining)

Error of 18.1b against oracle of 16.5b and baseline of 19.9b

bsearch4.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	41
1	56	41

end0.0ms

sample3.4s

Algorithm

intervals

Results

774.0ms	1617×	body	1280	valid
676.0ms	8969×	body	80	nan
436.0ms	5565×	body	80	valid
325.0ms	936×	body	640	valid
296.0ms	381×	body	2560	valid
109.0ms	428×	body	320	valid
34.0ms	189×	body	160	valid