Details

sample63.0ms

Algorithm

intervals

Results

25.0ms	97×	body	1280	valid
11.0ms	70×	body	640	valid
9.0ms	255×	body	80	valid
4.0ms	35×	body	320	valid
1.0ms	19×	body	160	valid

simplify43.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	30	4
2	66	4
3	139	4
4	271	4
5	520	4
6	1491	4
7	5001	4

prune2.0ms

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(/ (sinh y) y)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`sinh-def` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/`

Counts

2 → 64

Calls

2 calls:

7.0ms	(* (cos x) (/ (sinh y) y))
4.0ms	(/ (sinh y) y)

series171.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(* (cos x) (/ (sinh y) y))
84.0ms	(/ (sinh y) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	305	403
1	1237	359
2	5001	357

prune126.0ms

Filtered

70 candidates to 55 candidates (78.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	67	3	70
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	3	71

Merged error: 0b

Counts

71 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (sinh y) y))
0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)
0.0b	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
37×	`times-frac`
35×	`add-cube-cbrt` `*-un-lft-identity`
26×	`sqrt-prod`
16×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
10×	`pow1`
6×	`associate-/r` `associate-/l`
5×	`sqrt-div`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `sinh-def` `rem-sqrt-square` `frac-2neg` `div-exp` `clear-num` `associate-/l/`
1×	`frac-times` `sqrt-pow1` `pow1/2` `associate-l` `associate-l/` `-commutative`

Counts

4 → 123

Calls

4 calls:

3.0ms	(sqrt (/ (sinh y) y))
4.0ms	(/ (sinh y) y)
4.0ms	(/ (sinh y) y)
12.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

series360.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (/ (sinh y) y))
84.0ms	(/ (sinh y) y)
87.0ms	(/ (sinh y) y)
110.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	849	1125
1	3620	989
2	5002	957

prune332.0ms

Filtered

135 candidates to 111 candidates (82.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	135	3	138

Merged error: 0b

Counts

138 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sinh y) y)
0.0b	(/ (sinh y) y)
0.0b	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
0.0b	(* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-sqr-sqrt`
79×	`cbrt-prod`
70×	`times-frac`
60×	`add-cube-cbrt` `*-un-lft-identity`
32×	`associate-r`
30×	`pow1`
17×	`associate-l`
16×	`cbrt-div` `swap-sqr`
15×	`add-exp-log` `pow1/3`
12×	`unswap-sqr`
11×	`pow-prod-up`
9×	`add-cbrt-cube`
7×	`pow-plus` `pow-prod-down` `div-inv`
6×	`frac-times` `associate-l/` `associate-/r` `associate-/l*`
5×	`pow-sqr`
4×	`expm1-log1p-u` `associate-*r/` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow2`
2×	`cbrt-undiv` `sinh-def` `frac-2neg` `div-exp` `clear-num` `*-commutative` `associate-/l/`
1×	`pow3`

Counts

4 → 195

Calls

4 calls:

4.0ms	(/ (sinh y) y)
4.0ms	(/ (sinh y) y)
12.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
15.0ms	(* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y)))

series524.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(/ (sinh y) y)
90.0ms	(/ (sinh y) y)
236.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
108.0ms	(* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y)))

simplify75.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	481	1789
1	1963	1634
2	5001	1472

prune454.0ms

Filtered

207 candidates to 154 candidates (74.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	207	0	207
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	207	3	210

Merged error: 0b

Counts

210 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cos x) (/ (sinh y) y))
0.0b	(/ (sinh y) y)
0.1b	(expm1 (log1p (* (cos x) (/ (sinh y) y))))
0.3b	(log1p (* (cos x) (/ (sinh y) y)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
20×	`add-cube-cbrt` `*-un-lft-identity`
19×	`times-frac`
13×	`associate-r`
11×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
5×	`expm1-log1p-u`
4×	`log1p-expm1-u` `add-log-exp`
3×	`associate-l` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `unswap-sqr`
1×	`sinh-def` `log1p-udef` `expm1-log1p` `frac-2neg` `log1p-expm1` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `associate-/l/` `expm1-udef`

Counts

4 → 86

Calls

4 calls:

7.0ms	(* (cos x) (/ (sinh y) y))
4.0ms	(/ (sinh y) y)
1.0ms	(expm1 (log1p (* (cos x) (/ (sinh y) y))))
1.0ms	(log1p (* (cos x) (/ (sinh y) y)))

series672.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (cos x) (/ (sinh y) y))
85.0ms	(/ (sinh y) y)
282.0ms	(expm1 (log1p (* (cos x) (/ (sinh y) y))))
216.0ms	(log1p (* (cos x) (/ (sinh y) y)))

simplify66.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	600	727
1	2629	661
2	5001	661

prune216.0ms

Filtered

98 candidates to 81 candidates (82.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	98	3	101

Merged error: 0b

Counts

101 → 3

regimes81.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	9
1	10	9

end0.0ms

sample2.0s

Algorithm

intervals

Results

817.0ms	3052×	body	1280	valid
408.0ms	2503×	body	640	valid
305.0ms	8424×	body	80	valid
140.0ms	1201×	body	320	valid
50.0ms	618×	body	160	valid

Details

sample63.0ms

simplify43.0ms

prune2.0ms

localize6.0ms

rewrite12.0ms

series171.0ms

simplify38.0ms

prune126.0ms

localize11.0ms

rewrite25.0ms

series360.0ms

simplify94.0ms

prune332.0ms

localize10.0ms

rewrite42.0ms

series524.0ms

simplify75.0ms

prune454.0ms

localize10.0ms

rewrite18.0ms

series672.0ms

simplify66.0ms

prune216.0ms

regimes81.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.0s

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