Details

sample107.0ms

Algorithm

intervals

Results

31.0ms	70×	body	1280	valid
18.0ms	261×	body	80	nan
14.0ms	165×	body	80	valid
9.0ms	29×	body	640	valid
3.0ms	15×	body	320	valid
3.0ms	4×	body	2560	valid
1.0ms	5×	body	160	valid

simplify11.0ms

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

prune3.0ms

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: 21.8b

Counts

2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
0.3b	(/ (* z t) 3.0)
26.5b	(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:

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

series162.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ a (* b 3.0))
91.0ms	(* (* 2.0 (sqrt x)) (cos (- y (/ (* z t) 3.0))))
17.0ms	(/ (* z t) 3.0)
33.0ms	(cos (- y (/ (* z t) 3.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (39.0ms)

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

prune310.0ms

Filtered

84 candidates to 58 candidates (69.0%)

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: 18.2b

Counts

85 → 20

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ a (* b 3.0))
0.2b	(* z (/ t 3.0))
0.2b	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
26.6b	(cos (- y (* z (/ t 3.0))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

4.0ms	(/ a (* b 3.0))
7.0ms	(* z (/ t 3.0))
6.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
5.0ms	(cos (- y (* z (/ t 3.0))))

series167.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ a (* b 3.0))
18.0ms	(* z (/ t 3.0))
93.0ms	(* (* 2.0 (sqrt x)) (cos (- y (* z (/ t 3.0)))))
33.0ms	(cos (- y (* z (/ t 3.0))))

simplify54.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	461	555
1	1944	477
2	5001	474

prune339.0ms

Filtered

95 candidates to 62 candidates (65.3%)

Pruning

25 alts after pruning (25 fresh and 0 done)

	Pruned	Kept	Total
New	83	12	95
Fresh	6	13	19
Picked	1	0	1
Done	0	0	0
Total	90	25	115

Merged error: 18.0b

Counts

115 → 25

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (/ t 3.0))
0.2b	(* (* 2.0 (sqrt x)) (log (exp (cos (- y (* z (/ t 3.0)))))))
0.5b	(log (exp (cos (- y (* z (/ t 3.0))))))
26.6b	(cos (- y (* z (/ t 3.0))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`associate-r`
18×	`add-cube-cbrt` `*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
12×	`log-prod`
10×	`times-frac`
8×	`log-pow`
6×	`exp-prod`
5×	`prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `cos-diff` `cos-sum` `distribute-lft-in` `associate-l` `pow-prod-down` `add-log-exp`
3×	`exp-sum`
2×	`sub-neg` `log-div` `exp-diff` `*-commutative` `unswap-sqr`
1×	`cbrt-undiv` `associate-*r/` `div-exp` `rem-log-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

6.0ms	(* z (/ t 3.0))
9.0ms	(* (* 2.0 (sqrt x)) (log (exp (cos (- y (* z (/ t 3.0)))))))
4.0ms	(log (exp (cos (- y (* z (/ t 3.0))))))
3.0ms	(cos (- y (* z (/ t 3.0))))

series178.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* z (/ t 3.0))
92.0ms	(* (* 2.0 (sqrt x)) (log (exp (cos (- y (* z (/ t 3.0)))))))
36.0ms	(log (exp (cos (- y (* z (/ t 3.0))))))
33.0ms	(cos (- y (* z (/ t 3.0))))

simplify53.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	431	797
1	1754	683
2	5001	674

prune422.0ms

Filtered

102 candidates to 71 candidates (69.6%)

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	94	8	102
Fresh	3	21	24
Picked	0	1	1
Done	0	0	0
Total	97	30	127

Merged error: 18.0b

Counts

127 → 30

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (/ t 3.0))
0.2b	(* (sin y) (sin (* z (/ t 3.0))))
29.5b	(cos (* z (/ t 3.0)))
30.0b	(sin (* z (/ t 3.0)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

6.0ms	(* z (/ t 3.0))
5.0ms	(* (sin y) (sin (* z (/ t 3.0))))
2.0ms	(cos (* z (/ t 3.0)))
2.0ms	(sin (* z (/ t 3.0)))

series88.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* z (/ t 3.0))
41.0ms	(* (sin y) (sin (* z (/ t 3.0))))
13.0ms	(cos (* z (/ t 3.0)))
16.0ms	(sin (* z (/ t 3.0)))

simplify77.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	250	383
1	1002	332
2	3665	332
3	5001	332

prune319.0ms

Filtered

77 candidates to 58 candidates (75.3%)

Pruning

36 alts after pruning (35 fresh and 1 done)

	Pruned	Kept	Total
New	68	9	77
Fresh	2	26	28
Picked	1	0	1
Done	0	1	1
Total	71	36	107

Merged error: 17.8b

Counts

107 → 36

regimes3.0s

Accuracy

53.2% (1.8b remaining)

Error of 18.0b against oracle of 16.1b and baseline of 20.1b

bsearch3.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	38
1	59	38

end0.0ms

sample3.2s

Algorithm

intervals

Results

756.0ms	1622×	body	1280	valid
660.0ms	9033×	body	80	nan
434.0ms	5665×	body	80	valid
291.0ms	889×	body	640	valid
262.0ms	349×	body	2560	valid
97.0ms	390×	body	320	valid
39.0ms	234×	body	160	valid