Details

sample101.0ms

Algorithm

intervals

Results

23.0ms	285×	body	80	nan
16.0ms	41×	body	1280	valid
11.0ms	190×	body	80	valid
10.0ms	15×	body	2560	valid
9.0ms	33×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	6×	body	160	valid

simplify13.0ms

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

prune4.0ms

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: 21.5b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b	(/ a (* b 3.0))
21.9b	(cos (- y (/ (* z t) 3.0)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 178

Calls

4 calls:

7.0ms	(/ (* z t) 3.0)
10.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
7.0ms	(/ a (* b 3.0))
14.0ms	(cos (- y (/ (* z t) 3.0)))

series188.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ (* z t) 3.0)
101.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
19.0ms	(/ a (* b 3.0))
42.0ms	(cos (- y (/ (* z t) 3.0)))

simplify88.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	741	1186
1	3110	1108
2	5001	1108

prune597.0ms

Filtered

190 candidates to 140 candidates (26.3%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	168	22	190
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	169	22	191

Merged error: 16.2b

Counts

191 → 22

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ a (* b 3.0))
1.6b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
25.9b	(cos (/ (* z t) 3.0))
26.1b	(sin (/ (* z t) 3.0))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

7.0ms	(/ a (* b 3.0))
27.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
7.0ms	(cos (/ (* z t) 3.0))
7.0ms	(sin (/ (* z t) 3.0))

series149.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ a (* b 3.0))
103.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
10.0ms	(cos (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))

simplify79.0ms

Algorithm

egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	589	1085
1	2566	984
2	5001	982

prune648.0ms

Filtered

146 candidates to 105 candidates (28.1%)

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	133	13	146
Fresh	5	16	21
Picked	1	0	1
Done	0	0	0
Total	139	29	168

Merged error: 16.1b

Counts

168 → 29

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ a b) 3.0)
1.6b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
25.9b	(cos (/ (* z t) 3.0))
26.1b	(sin (/ (* z t) 3.0))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 147

Calls

4 calls:

7.0ms	(/ (/ a b) 3.0)
21.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
7.0ms	(cos (/ (* z t) 3.0))
7.0ms	(sin (/ (* z t) 3.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (/ a b) 3.0)
98.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
17.0ms	(cos (/ (* z t) 3.0))
16.0ms	(sin (/ (* z t) 3.0))

simplify76.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	681	1207
1	2735	1103
2	5002	1101

prune736.0ms

Filtered

159 candidates to 119 candidates (25.2%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	150	9	159
Fresh	9	19	28
Picked	1	0	1
Done	0	0	0
Total	160	28	188

Merged error: 16.1b

Counts

188 → 28

localize37.0ms

Local error

Found 4 expressions with local error:

25.9b	(cos (/ (* z t) 3.0))
26.1b	(sin (/ (* z t) 3.0))
26.1b	(sin (/ (* z t) 3.0))
26.1b	(sin (/ (* z t) 3.0))

rewrite30.0ms

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:

7.0ms	(cos (/ (* z t) 3.0))
7.0ms	(sin (/ (* z t) 3.0))
7.0ms	(sin (/ (* z t) 3.0))
7.0ms	(sin (/ (* z t) 3.0))

series66.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(cos (/ (* z t) 3.0))
16.0ms	(sin (/ (* z t) 3.0))
16.0ms	(sin (/ (* z t) 3.0))
17.0ms	(sin (/ (* z t) 3.0))

simplify112.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	36	190
1	52	162
2	63	162
3	72	162
4	100	162
5	174	162
6	693	162
7	2260	162
8	5001	162

prune226.0ms

Filtered

40 candidates to 36 candidates (10.0%)

Pruning

28 alts after pruning (28 fresh and 0 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	1	26	27
Picked	1	0	1
Done	0	0	0
Total	40	28	68

Merged error: 16.1b

Counts

68 → 28

regimes2.8s

Accuracy

60.3% (1.6b remaining)

Error of 18.5b against oracle of 16.9b and baseline of 20.8b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	46
1	59	46

end0.0ms

sample22.2s

Algorithm

intervals

Results

19.9s	8954×	body	80	nan
640.0ms	1578×	body	1280	valid
345.0ms	5519×	body	80	valid
270.0ms	998×	body	640	valid
268.0ms	395×	body	2560	valid
84.0ms	428×	body	320	valid
30.0ms	194×	body	160	valid