Details

analyze1.1s

Algorithm: search

sample89.0ms

Algorithm

intervals

Results

25.0ms	53×	body	1280	valid
12.0ms	36×	body	640	valid
11.0ms	137×	body	80	valid
6.0ms	8×	body	2560	valid
5.0ms	64×	body	80	nan
4.0ms	18×	body	320	valid
2.0ms	30×	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: 20.7b

Counts

2 → 1

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* z t) 3.0)
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.5b	(/ a (* b 3.0))
22.8b	(cos (- y (/ (* z t) 3.0)))

rewrite25.0ms

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)
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
4.0ms	(/ a (* b 3.0))
7.0ms	(cos (- y (/ (* z t) 3.0)))

series49.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ (* z t) 3.0)
32.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
3.0ms	(/ a (* b 3.0))
11.0ms	(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	5001	432

prune273.0ms

Filtered

59 candidates to 84 candidates (-42.4%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	62	22	84
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	22	85

Merged error: 16.4b

Counts

85 → 22

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ a (* b 3.0))
1.8b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
27.3b	(cos (/ (* z t) 3.0))
27.4b	(sin (/ (* z t) 3.0))

rewrite21.0ms

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))
12.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series41.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
29.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (/ (* z t) 3.0))))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

simplify42.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (9.0ms)

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

prune305.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

30 alts after pruning (30 fresh and 0 done)

	Pruned	Kept	Total
New	59	11	70
Fresh	2	19	21
Picked	1	0	1
Done	0	0	0
Total	62	30	92

Merged error: 16.2b

Counts

92 → 30

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ a (* b 3.0))
1.8b	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
26.9b	(sin (* 0.3333333333333333 (* t z)))
27.3b	(cos (/ (* z t) 3.0))

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

series41.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
30.0ms	(* (* 2.0 (sqrt x)) (* (sin y) (sin (* 0.3333333333333333 (* t z)))))
4.0ms	(sin (* 0.3333333333333333 (* t z)))
4.0ms	(cos (/ (* z t) 3.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	326	482
1	1228	383
2	5001	383

prune307.0ms

Filtered

47 candidates to 70 candidates (-48.9%)

Pruning

32 alts after pruning (32 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	29	29
Picked	1	0	1
Done	0	0	0
Total	68	32	100

Merged error: 16.2b

Counts

100 → 32

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ a (* b 3.0))
2.3b	(log (exp (sin (/ (* z t) 3.0))))
27.3b	(cos (/ (* z t) 3.0))
27.4b	(sin (/ (* z t) 3.0))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 50

Calls

4 calls:

4.0ms	(/ a (* b 3.0))
3.0ms	(log (exp (sin (/ (* z t) 3.0))))
2.0ms	(cos (/ (* z t) 3.0))
2.0ms	(sin (/ (* z t) 3.0))

series15.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(/ a (* b 3.0))
4.0ms	(log (exp (sin (/ (* z t) 3.0))))
4.0ms	(cos (/ (* z t) 3.0))
4.0ms	(sin (/ (* z t) 3.0))

simplify84.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	166	278
1	449	236
2	1613	236
3	4743	236
4	5001	236

prune127.0ms

Filtered

47 candidates to 62 candidates (-31.9%)

Pruning

31 alts after pruning (31 fresh and 0 done)

	Pruned	Kept	Total
New	60	2	62
Fresh	2	29	31
Picked	1	0	1
Done	0	0	0
Total	63	31	94

Merged error: 16.2b

Counts

94 → 31

regimes4.4s

Accuracy

61.9% (1.4b remaining)

Error of 17.7b against oracle of 16.3b and baseline of 19.9b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	47
1	58	47

end0.0ms

analyze1.1s

Algorithm: search

sample2.6s

Algorithm

intervals

Results

745.0ms	1551×	body	1280	valid
358.0ms	4443×	body	80	valid
328.0ms	977×	body	640	valid
289.0ms	383×	body	2560	valid
184.0ms	2323×	body	80	nan
105.0ms	435×	body	320	valid
84.0ms	1095×	body	80	invalid
36.0ms	211×	body	160	valid

Details

analyze1.1s

sample89.0ms

simplify10.0ms

prune5.0ms

localize17.0ms

rewrite25.0ms

series49.0ms

simplify50.0ms

prune273.0ms

localize26.0ms

rewrite21.0ms

series41.0ms

simplify42.0ms

prune305.0ms

localize33.0ms

rewrite19.0ms

series41.0ms

simplify44.0ms

prune307.0ms

localize33.0ms

rewrite13.0ms

series15.0ms

simplify84.0ms

prune127.0ms

regimes4.4s

bsearch2.0ms

simplify2.0ms

end0.0ms

analyze1.1s

sample2.6s

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