Details

sample65.0ms

Algorithm

intervals

Results

26.0ms	97×	body	1280	valid
11.0ms	70×	body	640	valid
10.0ms	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:

6.0ms	(* (cos x) (/ (sinh y) y))
4.0ms	(/ (sinh y) y)

series177.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(* (cos x) (/ (sinh y) y))
86.0ms	(/ (sinh y) y)

simplify41.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (35.0ms)

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

prune134.0ms

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

localize9.0ms

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)))

series365.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(sqrt (/ (sinh y) y))
85.0ms	(/ (sinh y) y)
86.0ms	(/ (sinh y) y)
113.0ms	(* (* (cos x) (sqrt (/ (sinh y) y))) (sqrt (/ (sinh y) y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 2 (75.0ms)

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

prune337.0ms

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)))

rewrite43.0ms

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)))
14.0ms	(* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y)))

series516.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/ (sinh y) y)
87.0ms	(/ (sinh y) y)
236.0ms	(* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y)))
106.0ms	(* (* (cbrt (/ (sinh y) y)) (cbrt (/ (sinh y) y))) (cbrt (/ (sinh y) y)))

simplify70.0ms

Algorithm

egg-herbie

Counts

207 → 207

Iterations

Useful iterations: 2 (55.0ms)

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

prune466.0ms

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

localize11.0ms

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)))

rewrite19.0ms

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:

11.0ms	(* (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)))

series681.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (cos x) (/ (sinh y) y))
86.0ms	(/ (sinh y) y)
286.0ms	(expm1 (log1p (* (cos x) (/ (sinh y) y))))
221.0ms	(log1p (* (cos x) (/ (sinh y) y)))

simplify64.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (14.0ms)

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

prune224.0ms

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

regimes85.0ms

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

sample2.2s

Algorithm

intervals

Results

885.0ms	3052×	body	1280	valid
447.0ms	2503×	body	640	valid
326.0ms	8424×	body	80	valid
146.0ms	1201×	body	320	valid
51.0ms	618×	body	160	valid

Details

sample65.0ms

simplify43.0ms

prune2.0ms

localize6.0ms

rewrite12.0ms

series177.0ms

simplify41.0ms

prune134.0ms

localize9.0ms

rewrite25.0ms

series365.0ms

simplify91.0ms

prune337.0ms

localize10.0ms

rewrite43.0ms

series516.0ms

simplify70.0ms

prune466.0ms

localize11.0ms

rewrite19.0ms

series681.0ms

simplify64.0ms

prune224.0ms

regimes85.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.2s

Profiling